tag:blogger.com,1999:blog-11998921253839515902024-03-27T03:37:54.131-03:00Doutor Matemático“Divisão e Conquista: é uma técnica valiosa usada em momentos complicados, onde dividimos um grande problema em problemas menores até ser resolvido". Anatolii Karatsuba
doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.comBlogger401125tag:blogger.com,1999:blog-1199892125383951590.post-26718423807024998352023-11-07T17:11:00.004-03:002023-11-07T17:57:44.061-03:00Aulão 1 ENEM<p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgaUF24v632sQTU-683swaU93YwW-NkCnXWcqBWOlJ9kWrmkUw-ppHx-_iFeniHVFfzysHobe6Bjx61de61N6kjnKo54P6CeP-Tph6ChD0hliXvm1le_RreJm6U1Y99iqmnyqse1xLPJRanhUz19bt2i2byLYJJJf1AHItV9OLs-ukTpAVgs6driqwUKHg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="855" data-original-width="1600" height="171" src="https://blogger.googleusercontent.com/img/a/AVvXsEgaUF24v632sQTU-683swaU93YwW-NkCnXWcqBWOlJ9kWrmkUw-ppHx-_iFeniHVFfzysHobe6Bjx61de61N6kjnKo54P6CeP-Tph6ChD0hliXvm1le_RreJm6U1Y99iqmnyqse1xLPJRanhUz19bt2i2byLYJJJf1AHItV9OLs-ukTpAVgs6driqwUKHg" width="320" /></a></div><br /><br /><p></p><p><br /></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgqKIejR2FnNEm3nJGbAP5V88G4tJ_b_nY2VesLSjzObBFCFEv4Y3S7YJwaI-1yoPLoc_9AJiRV8GoSYff1BViz3_ihra_r5r0ajJaKi6Dqp-Yd-d9OTT0ZPCI3oom6kPRMurOghi-mLe27azKSy4XjNAjwtZi3NnvqzosdaHIlLyfVzBYxb3OsL65owIY" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="820" data-original-width="1600" height="235" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqKIejR2FnNEm3nJGbAP5V88G4tJ_b_nY2VesLSjzObBFCFEv4Y3S7YJwaI-1yoPLoc_9AJiRV8GoSYff1BViz3_ihra_r5r0ajJaKi6Dqp-Yd-d9OTT0ZPCI3oom6kPRMurOghi-mLe27azKSy4XjNAjwtZi3NnvqzosdaHIlLyfVzBYxb3OsL65owIY=w459-h235" width="459" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg9--KacWGLQUYFYO2WyxsV6TnrFhddkyhNLpcVqnfrJ_6UF_FZWo1B35cBy6kKNzbtOrnfQA4v3TCi4wIr2K6gEPU8T0BJF-Jyd7x_dnJUQuwZJO9dIglk1MscTr3fwBmo9L0wpAkvn-5CvfvrWT0h6awEWU0BX8bu2UccyBFJEP5SSPxVA2jTsujLQUk" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="919" data-original-width="1600" height="184" src="https://blogger.googleusercontent.com/img/a/AVvXsEg9--KacWGLQUYFYO2WyxsV6TnrFhddkyhNLpcVqnfrJ_6UF_FZWo1B35cBy6kKNzbtOrnfQA4v3TCi4wIr2K6gEPU8T0BJF-Jyd7x_dnJUQuwZJO9dIglk1MscTr3fwBmo9L0wpAkvn-5CvfvrWT0h6awEWU0BX8bu2UccyBFJEP5SSPxVA2jTsujLQUk" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi_yXqj7xNJq6DK7ToSszgrmESWOp9P_QSTsxnXlzElNxwfCvuVb66V8cYp3NKhNjqgtWfMMm3MCmt-jpWu9i8J1B7JQUPidLznkoAMycR8RB6My_2EC2hwln8P1GAXcLAhYDOI026bP35GOI0gH0YVxEwtJPorQIqYbotGMeiCYMQWD873Uj3n94hKpTc" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="821" data-original-width="1600" height="164" src="https://blogger.googleusercontent.com/img/a/AVvXsEi_yXqj7xNJq6DK7ToSszgrmESWOp9P_QSTsxnXlzElNxwfCvuVb66V8cYp3NKhNjqgtWfMMm3MCmt-jpWu9i8J1B7JQUPidLznkoAMycR8RB6My_2EC2hwln8P1GAXcLAhYDOI026bP35GOI0gH0YVxEwtJPorQIqYbotGMeiCYMQWD873Uj3n94hKpTc" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhVUGE2InFH_CXP-QKARBOl1e5Tcwqs5y7D5U3XzfLzFv6eMaXgSPzjuEXPCbhBNBfRr4kDDfrmk8J7aMn2PW01myQ8tkOSENl_4koFEmHD5hINA2esaOFpl-IJXXIyrjP8fw0Tmj6otfKjDBWon2TXrMspKSbW0C8MaUmebSwH7jb97muB7Un8_V318OU" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="821" data-original-width="1600" height="164" src="https://blogger.googleusercontent.com/img/a/AVvXsEhVUGE2InFH_CXP-QKARBOl1e5Tcwqs5y7D5U3XzfLzFv6eMaXgSPzjuEXPCbhBNBfRr4kDDfrmk8J7aMn2PW01myQ8tkOSENl_4koFEmHD5hINA2esaOFpl-IJXXIyrjP8fw0Tmj6otfKjDBWon2TXrMspKSbW0C8MaUmebSwH7jb97muB7Un8_V318OU" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEif-uR-9PD3nE2n-1gtqK48YHvAkFVAvkcq0cec6RS7FZlh5cYaRKLn-YSMrQCcIO_xYEMFEi0I0Wk-07YZQCOEvP5jeLCeAQr2xzQUldK4jw5SiKrr7K4i67h_ABwu6EUh4giNhQHljWHnlN02P31VCnsFlrzxYhiK64MmkDtWZ7lO7nYCrUnT8fH5AtU" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="697" data-original-width="1600" height="139" src="https://blogger.googleusercontent.com/img/a/AVvXsEif-uR-9PD3nE2n-1gtqK48YHvAkFVAvkcq0cec6RS7FZlh5cYaRKLn-YSMrQCcIO_xYEMFEi0I0Wk-07YZQCOEvP5jeLCeAQr2xzQUldK4jw5SiKrr7K4i67h_ABwu6EUh4giNhQHljWHnlN02P31VCnsFlrzxYhiK64MmkDtWZ7lO7nYCrUnT8fH5AtU" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi4jzL-92hQq1xiMJ40OJqJ98h9djQQFFsRpmPshIsPybVt-6LvqQFqyCb9eLPgwK7H1hK1jYMM1RsVaQ86Cxr4mQZmNdi50wv-h_JCPQrX6n5MTti14Z6_I_jTxLcL2-org0xTgPeuYNuAEhJSLmi-MD6owSgCI-X1nL9RCasWmA9aJgbU0a4ae9hFt5A" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="848" data-original-width="1600" height="170" src="https://blogger.googleusercontent.com/img/a/AVvXsEi4jzL-92hQq1xiMJ40OJqJ98h9djQQFFsRpmPshIsPybVt-6LvqQFqyCb9eLPgwK7H1hK1jYMM1RsVaQ86Cxr4mQZmNdi50wv-h_JCPQrX6n5MTti14Z6_I_jTxLcL2-org0xTgPeuYNuAEhJSLmi-MD6owSgCI-X1nL9RCasWmA9aJgbU0a4ae9hFt5A" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgT_fnoE8jI2BtJQGndmhqxwCa8QyGxbWCCt3o4cGHk0pjWruwjZjgTGoX6XgFYD4YvKw07Qn5aNcf095I3OiahOg9YZL0KShGl0dSVyevTS_OfrCbJmC5ZMyd7GZn1UgJrSvSRrrMkaRMPr24oPkac0Z4oE_gqp-QGUgWfZcTmg4bo4Iy7wo27zyunxb4" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="739" data-original-width="1600" height="148" src="https://blogger.googleusercontent.com/img/a/AVvXsEgT_fnoE8jI2BtJQGndmhqxwCa8QyGxbWCCt3o4cGHk0pjWruwjZjgTGoX6XgFYD4YvKw07Qn5aNcf095I3OiahOg9YZL0KShGl0dSVyevTS_OfrCbJmC5ZMyd7GZn1UgJrSvSRrrMkaRMPr24oPkac0Z4oE_gqp-QGUgWfZcTmg4bo4Iy7wo27zyunxb4" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjls8YkSzXwlLHkV9WX1ecsk7TegiRZwlCRtreZ8vC0bPiYgVeopmLC5uVJd5wtq2ehbSy2zRpiZn_jNpfk1aS93tmcJW6OFJHyJCE3u1ImUd0JU7K-gkd74nu0Od4Z0ZevIaokr3Qi0RiKnesQSN6IAFLVrNIqCH_xW9yqkwV_SdtTRRtjDmtWzYPQ54c" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="821" data-original-width="1600" height="164" src="https://blogger.googleusercontent.com/img/a/AVvXsEjls8YkSzXwlLHkV9WX1ecsk7TegiRZwlCRtreZ8vC0bPiYgVeopmLC5uVJd5wtq2ehbSy2zRpiZn_jNpfk1aS93tmcJW6OFJHyJCE3u1ImUd0JU7K-gkd74nu0Od4Z0ZevIaokr3Qi0RiKnesQSN6IAFLVrNIqCH_xW9yqkwV_SdtTRRtjDmtWzYPQ54c" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiZ9_z6-yAtQ2RlpkFgzGHIkI2SvKm13KwL4x7i1HP4hMBN8IjHVr-h3zLP8_438gQVIlP-1YR7pt_pgv_U6oFpXslx1mIB7PX-h8gj7iGZ5EDf5KA5mGyQXsnxgW1APVnihYqS21IiOXMuGFvibNPTEvRLPeZQIopL0Ue7HtuiQGAyDgVR2x8G3QILM9U" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="818" data-original-width="1600" height="164" src="https://blogger.googleusercontent.com/img/a/AVvXsEiZ9_z6-yAtQ2RlpkFgzGHIkI2SvKm13KwL4x7i1HP4hMBN8IjHVr-h3zLP8_438gQVIlP-1YR7pt_pgv_U6oFpXslx1mIB7PX-h8gj7iGZ5EDf5KA5mGyQXsnxgW1APVnihYqS21IiOXMuGFvibNPTEvRLPeZQIopL0Ue7HtuiQGAyDgVR2x8G3QILM9U" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgpUNrA9GH1OuLWm7fyH5EJ9uyQZwOtjLHP9MBiRxDpdxr3FkWy8oJU5xUURX6GJ1xqvOSnRH9p8cPDqPjWAlRjOtgVXrNZp_GDZ1vRXqFQafVjNxKZ2KlmeRVZQUVw8_1b9-4pXuENQMNg8k0mie4a51lfleCC1I92aSl6Drr1sepQ3NKapWWy5FlrEzE" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1600" data-original-width="900" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEgpUNrA9GH1OuLWm7fyH5EJ9uyQZwOtjLHP9MBiRxDpdxr3FkWy8oJU5xUURX6GJ1xqvOSnRH9p8cPDqPjWAlRjOtgVXrNZp_GDZ1vRXqFQafVjNxKZ2KlmeRVZQUVw8_1b9-4pXuENQMNg8k0mie4a51lfleCC1I92aSl6Drr1sepQ3NKapWWy5FlrEzE" width="135" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiNTPGy0xc7Bn7zaW3WLNpaaxqbRrYSLihx_78B84H2AM6iGLXsYyy1bpXg-EozvfTorFAkxKD15IaZDLu_Z8tZsXtXeXecQzuIrbWP9JLj20KHP0TyzHiqletmPsMUEMlMlqEPv-DqHEA7HOljUCw24ah9yWUZjbYwSmF4SaqxyVHb3_P4aoontCpA_RQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1024" data-original-width="807" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEiNTPGy0xc7Bn7zaW3WLNpaaxqbRrYSLihx_78B84H2AM6iGLXsYyy1bpXg-EozvfTorFAkxKD15IaZDLu_Z8tZsXtXeXecQzuIrbWP9JLj20KHP0TyzHiqletmPsMUEMlMlqEPv-DqHEA7HOljUCw24ah9yWUZjbYwSmF4SaqxyVHb3_P4aoontCpA_RQ" width="189" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh740P4vWWw9ll1oYbAWnTzWicixYz78J7h-kPQFqweZIkZNDwM168AiQcQsZmLFoMjgNLyKufRTBExrk5puWkw8rm-B33umLHNmicluBwB1rix94LCCFpR9PcIF_2OaNXsv1cQR0JCl54cdrBge1gOjW0lCVShDUti39oTWXAcgwY6XtYe3jun9_btnoI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="709" data-original-width="1024" height="222" src="https://blogger.googleusercontent.com/img/a/AVvXsEh740P4vWWw9ll1oYbAWnTzWicixYz78J7h-kPQFqweZIkZNDwM168AiQcQsZmLFoMjgNLyKufRTBExrk5puWkw8rm-B33umLHNmicluBwB1rix94LCCFpR9PcIF_2OaNXsv1cQR0JCl54cdrBge1gOjW0lCVShDUti39oTWXAcgwY6XtYe3jun9_btnoI" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh6oJnGD6s7ycxyDNyy9ihIJFLvqXT0ZznxJkHWeALDmlPtd-Ct0myhzsUCmHu1SWfYA__Ry5n8dBprus0E4e_n7J_jnGy7f5rU--boVCD9K52_GHa_0lfZJszFx0f1G_rGZuvg8sd1T8Q9-lh7o-xqegPm6PurwuZDRf_ABxh8m8sP5gd6aaCckKYg1m8" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="838" data-original-width="473" height="524" src="https://blogger.googleusercontent.com/img/a/AVvXsEh6oJnGD6s7ycxyDNyy9ihIJFLvqXT0ZznxJkHWeALDmlPtd-Ct0myhzsUCmHu1SWfYA__Ry5n8dBprus0E4e_n7J_jnGy7f5rU--boVCD9K52_GHa_0lfZJszFx0f1G_rGZuvg8sd1T8Q9-lh7o-xqegPm6PurwuZDRf_ABxh8m8sP5gd6aaCckKYg1m8=w295-h524" width="295" /></a></div><br /><br /></div>D</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi8Kj4HGUhDrWHZW2o_6kd4TcQy7GsT1VGRQ37Dk-Jj6M0KWJFOc1Ow5GpKHGoIlRuOoVZWoivTgIvY0jsSaiIqTljvmRa8SoXLgZIetWbBSHcu9afIJmRbJGq8sS3sc7Mj-W5JScinNJlS3v_7oMj_PrvNG-nbwhP32j9Ze3epx4jsCJ33923ks1q20qI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="879" data-original-width="1600" height="176" src="https://blogger.googleusercontent.com/img/a/AVvXsEi8Kj4HGUhDrWHZW2o_6kd4TcQy7GsT1VGRQ37Dk-Jj6M0KWJFOc1Ow5GpKHGoIlRuOoVZWoivTgIvY0jsSaiIqTljvmRa8SoXLgZIetWbBSHcu9afIJmRbJGq8sS3sc7Mj-W5JScinNJlS3v_7oMj_PrvNG-nbwhP32j9Ze3epx4jsCJ33923ks1q20qI" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEisQWBRZ3RWECUxwM66M63RIcr4olztZu3L7-7RK1jNh_ujLPGgs1QbYMlFx7LJt5piKbhiQGBjW18HxAWW277DMANtH-iiLdyElORl772_1BulYHSdOfJ3zCzmtK9aq09e_qXx_QJd-nKQ8dbZGweCsOVzcBbcRi1Gl08zXKUnlyAggM0w5VFIYRqw4m8" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1600" data-original-width="1400" height="363" src="https://blogger.googleusercontent.com/img/a/AVvXsEisQWBRZ3RWECUxwM66M63RIcr4olztZu3L7-7RK1jNh_ujLPGgs1QbYMlFx7LJt5piKbhiQGBjW18HxAWW277DMANtH-iiLdyElORl772_1BulYHSdOfJ3zCzmtK9aq09e_qXx_QJd-nKQ8dbZGweCsOVzcBbcRi1Gl08zXKUnlyAggM0w5VFIYRqw4m8=w295-h363" width="295" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiWhXQu1GU9pluCP6sQ-WzIW2yNSGyv_hQ_bvOf9lCmO0TDbqOAxI2b_Q9naXK0Pb7Hwzyn1rkqcF-Q8OwVnKHZBVlnEEwQKjPRxZ1j3JdEHDG_N0CJFRAowctWpOKNqauLQ-VoVgv2dbpJI6fuMZ8VcoztYblLuGdK4wdrYg7a3tuG5Ccg7dJGhxTPzAY" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1133" data-original-width="1600" height="227" src="https://blogger.googleusercontent.com/img/a/AVvXsEiWhXQu1GU9pluCP6sQ-WzIW2yNSGyv_hQ_bvOf9lCmO0TDbqOAxI2b_Q9naXK0Pb7Hwzyn1rkqcF-Q8OwVnKHZBVlnEEwQKjPRxZ1j3JdEHDG_N0CJFRAowctWpOKNqauLQ-VoVgv2dbpJI6fuMZ8VcoztYblLuGdK4wdrYg7a3tuG5Ccg7dJGhxTPzAY" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiPpVABW4O7707ooTdfrHKTAsz2wDbvDSb_HwKscT6kwwcdnB3p2uXRp0BVE8jxPg4ILRX-Zge4zqr6u19xDsjrZCqsyeuAK-Y_itYijOA7tgbDH8yhxMpfjmyN4iNVDmgXS20TsZ849S6_b2wiiv5R6ZU49MGIBhB-qr9CB1E4Cx2uT1c38A4tRSkLsHs" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1109" data-original-width="1600" height="222" src="https://blogger.googleusercontent.com/img/a/AVvXsEiPpVABW4O7707ooTdfrHKTAsz2wDbvDSb_HwKscT6kwwcdnB3p2uXRp0BVE8jxPg4ILRX-Zge4zqr6u19xDsjrZCqsyeuAK-Y_itYijOA7tgbDH8yhxMpfjmyN4iNVDmgXS20TsZ849S6_b2wiiv5R6ZU49MGIBhB-qr9CB1E4Cx2uT1c38A4tRSkLsHs" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjrw4DP4mKB629BaBusMH10nWIRxGD5NCH4-1CxMCgdRG9wDfy54KdAttFq5xpCQ8KRtDWNp448rGOsdwLiLN9u2N4YkuKB9XvMsziY8XJveUdaJt67o5EXKhNWl3b6ULa54iOFsGEmwuMAJMp6gaZKSdqe-E4lXhg3N_kZx8juqB9lm6OEHKSgLsxH41U" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1492" data-original-width="1600" height="265" src="https://blogger.googleusercontent.com/img/a/AVvXsEjrw4DP4mKB629BaBusMH10nWIRxGD5NCH4-1CxMCgdRG9wDfy54KdAttFq5xpCQ8KRtDWNp448rGOsdwLiLN9u2N4YkuKB9XvMsziY8XJveUdaJt67o5EXKhNWl3b6ULa54iOFsGEmwuMAJMp6gaZKSdqe-E4lXhg3N_kZx8juqB9lm6OEHKSgLsxH41U=w301-h265" width="301" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhpEJpwgFRNea1XiAzDPUJNIhP6OZ8pJ13CpQiNOk-vN9DESw2llo7EmYjh3TFDsyEQr1cIJ9JEtFH8x2b8LgzC5hDH-2NQapjayjSd5iSWZhM7C0pm-2ZF7uhHO15QtzuEdmyMXHX0BSNRIhhWZdPd7PsqqV1m9iQzRJAtK3bD7nxG39c83snGRFSKQA4" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1430" data-original-width="1600" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhpEJpwgFRNea1XiAzDPUJNIhP6OZ8pJ13CpQiNOk-vN9DESw2llo7EmYjh3TFDsyEQr1cIJ9JEtFH8x2b8LgzC5hDH-2NQapjayjSd5iSWZhM7C0pm-2ZF7uhHO15QtzuEdmyMXHX0BSNRIhhWZdPd7PsqqV1m9iQzRJAtK3bD7nxG39c83snGRFSKQA4" width="269" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEimf0jiKjJn3Zrjo5-SZvEv4HJFKlXH8tFk6w6Np5PG3TSRxdLy8XFuHl_AYTezow1OMCkjHEHibxNHaneWCw_sfdCRJ-xdcpPmzw3PR4beAYIz3wYKqu7u9ou9XEUuWjYc1km9dgaQCJdKsahReFlsTRR1Ui5P0Pckn3ajheehRMDyDuVnXufe5PcJ3LI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1205" data-original-width="1600" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEimf0jiKjJn3Zrjo5-SZvEv4HJFKlXH8tFk6w6Np5PG3TSRxdLy8XFuHl_AYTezow1OMCkjHEHibxNHaneWCw_sfdCRJ-xdcpPmzw3PR4beAYIz3wYKqu7u9ou9XEUuWjYc1km9dgaQCJdKsahReFlsTRR1Ui5P0Pckn3ajheehRMDyDuVnXufe5PcJ3LI" width="319" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj6USz5oBE2-unqzZhCXabkQ-B8Ks7tAXqznUEWYbsphlY22Ml_vImeVaBKQQleP5rnswXn4vk4UObMw_fsodFmn7ubMKGeGQuJtwaTd2A4duBdsGVknOAY8gOUI5Xagx8tJCzQAeXeAC5_0Xd_V6hWKQPxv8wSh38uvTl-rJq16T4UrE4BEmuyAW15JUI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="936" data-original-width="1600" height="187" src="https://blogger.googleusercontent.com/img/a/AVvXsEj6USz5oBE2-unqzZhCXabkQ-B8Ks7tAXqznUEWYbsphlY22Ml_vImeVaBKQQleP5rnswXn4vk4UObMw_fsodFmn7ubMKGeGQuJtwaTd2A4duBdsGVknOAY8gOUI5Xagx8tJCzQAeXeAC5_0Xd_V6hWKQPxv8wSh38uvTl-rJq16T4UrE4BEmuyAW15JUI" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhooSeHr-nKLb5W3ZTdz8QKmD1bClEopmTh96rgdairbbrzYBih8O8RoHbMtkpwmg-q6EVc7BbwZr-iI91uZowkHxqn81-MjDvLhVcCr95fO0umsG5qFgiRSd-_vtjIXNDmz9_32_I7mNNePztDnpeZfZ0WGrF-vlShD_2yi_fI49pmM-YJKmRBBqOZ-0g" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1600" data-original-width="900" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhooSeHr-nKLb5W3ZTdz8QKmD1bClEopmTh96rgdairbbrzYBih8O8RoHbMtkpwmg-q6EVc7BbwZr-iI91uZowkHxqn81-MjDvLhVcCr95fO0umsG5qFgiRSd-_vtjIXNDmz9_32_I7mNNePztDnpeZfZ0WGrF-vlShD_2yi_fI49pmM-YJKmRBBqOZ-0g" width="135" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj5oXkN4n6lr9Y7PK0TBpOPorokUz577gbzE6cR5zt24qUs5RAq1C-WPDXVdGXQvOpe6-ytdAHFGmuhDZMf8lBWmGsl3FWsT7IoU0gB8xxqvgML2YMS2P1K737SU4Q0gt8k_vJoFyiamU5CajveqWq-SW3utLk278sE0WLd2ZgEuHhwrFbKxbcHyNLspDs" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1210" data-original-width="1600" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEj5oXkN4n6lr9Y7PK0TBpOPorokUz577gbzE6cR5zt24qUs5RAq1C-WPDXVdGXQvOpe6-ytdAHFGmuhDZMf8lBWmGsl3FWsT7IoU0gB8xxqvgML2YMS2P1K737SU4Q0gt8k_vJoFyiamU5CajveqWq-SW3utLk278sE0WLd2ZgEuHhwrFbKxbcHyNLspDs" width="317" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgrOsom3IA6m84sx7dK8jLsXo2nWZuClNsGoTDwEZgDlpMgC_QxvH7B90mlyM269y_CFHEFiW_paPHihBora4WUETdIkWequBsCKmZ7xsYuVoSoSNbKgHq86xBx0KHT0RBxtFVDDR37DOtudygLM-Yloz9mTMBCa87_WCECJWkXVRNNr_bBW7sq1OyKeao" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1137" data-original-width="1600" height="227" src="https://blogger.googleusercontent.com/img/a/AVvXsEgrOsom3IA6m84sx7dK8jLsXo2nWZuClNsGoTDwEZgDlpMgC_QxvH7B90mlyM269y_CFHEFiW_paPHihBora4WUETdIkWequBsCKmZ7xsYuVoSoSNbKgHq86xBx0KHT0RBxtFVDDR37DOtudygLM-Yloz9mTMBCa87_WCECJWkXVRNNr_bBW7sq1OyKeao" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEidzpBkw5RlbfparreoksDY6VQPCSwjxy-EDFvuH9037xsT_5NM3WPel8i4s3oR28FYl27SAOF6GY8gCxQ2pWO0C_QrXmmOYWQDd6Arx2u-TIwhyzd-ai1mJptZSRJd7U83TnGaSBXG7JBM6CmfVFTASbBhUbeoRVmOFLLdN4hZAAM8dvmdn6XQiNW27oE" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1180" data-original-width="1600" height="236" src="https://blogger.googleusercontent.com/img/a/AVvXsEidzpBkw5RlbfparreoksDY6VQPCSwjxy-EDFvuH9037xsT_5NM3WPel8i4s3oR28FYl27SAOF6GY8gCxQ2pWO0C_QrXmmOYWQDd6Arx2u-TIwhyzd-ai1mJptZSRJd7U83TnGaSBXG7JBM6CmfVFTASbBhUbeoRVmOFLLdN4hZAAM8dvmdn6XQiNW27oE" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjdlrRkKUAXR6HDItRsSqr_R56At_sai_7JquIyKqs--Lk_-7OYS2QaoY3Fq0R1kpsDLdyumEVLl-yj-XgPMruoAsdOX6pngAzxrmbLhjPlWbXrdgQxo1DV8EmuJ_sbX4MCYsX60OMGLWpLXFyielMNGpGc0YgYCxE0ica8XktiOKxB1P2hbxtA2Fkk1wE" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="696" data-original-width="1600" height="139" src="https://blogger.googleusercontent.com/img/a/AVvXsEjdlrRkKUAXR6HDItRsSqr_R56At_sai_7JquIyKqs--Lk_-7OYS2QaoY3Fq0R1kpsDLdyumEVLl-yj-XgPMruoAsdOX6pngAzxrmbLhjPlWbXrdgQxo1DV8EmuJ_sbX4MCYsX60OMGLWpLXFyielMNGpGc0YgYCxE0ica8XktiOKxB1P2hbxtA2Fkk1wE" width="320" /></a></div><br /><br /></div><br /><br /></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /></div><br /><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-7578203950802886382023-02-06T14:10:00.000-03:002023-02-06T14:10:01.825-03:00Como financiar um carro?<p> <b style="color: #202124; font-family: "Google Sans", arial, sans-serif; font-size: 16px;">Quais são os requisitos para <b>financiar</b> um carro?</b></p><p><b style="color: #202124; font-family: "Google Sans", arial, sans-serif; font-size: 16px;"></b></p><div class="separator" style="clear: both; text-align: center;"><b style="color: #202124; font-family: "Google Sans", arial, sans-serif; font-size: 16px;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg_5s1bJv2pBCB0wivHSnhmpYs-ZJsVQ688uxJwHabBg2I_PJFXW0YbYL9uJdpo9drKpJiOjbDeBxX4ooIq_AUZ3OtUJKcvgFtgze5p0Mro1EzbV2z5Ii7wCB2qn1S_e1nEk9plrpZZ6TFbnNvoM443k7_003D3atwt7J-SfnIPKy4iwX2Vzrj4qVFL" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="145" data-original-width="348" height="133" src="https://blogger.googleusercontent.com/img/a/AVvXsEg_5s1bJv2pBCB0wivHSnhmpYs-ZJsVQ688uxJwHabBg2I_PJFXW0YbYL9uJdpo9drKpJiOjbDeBxX4ooIq_AUZ3OtUJKcvgFtgze5p0Mro1EzbV2z5Ii7wCB2qn1S_e1nEk9plrpZZ6TFbnNvoM443k7_003D3atwt7J-SfnIPKy4iwX2Vzrj4qVFL" width="320" /></a></b></div><b style="color: #202124; font-family: "Google Sans", arial, sans-serif; font-size: 16px;"><br /></b><span style="background-color: white; color: #202124; font-family: arial, sans-serif; font-size: 16px;">Nome limpo. Se você tem interesse em</span><span style="background-color: white; color: #202124; font-family: arial, sans-serif; font-size: 16px;"> </span><b style="background-color: white; color: #202124; font-family: arial, sans-serif; font-size: 16px;">financiar</b><span style="background-color: white; color: #202124; font-family: arial, sans-serif; font-size: 16px;"> </span><span style="background-color: white; color: #202124; font-family: arial, sans-serif; font-size: 16px;">um carro, o primeiro passo é garantir que seu nome não esteja negativado. ...</span><span style="background-color: white; color: #2f2f2f; font-family: Roboto, Arial, sans-serif;">não tem como contratar um financiamento, caso o interessado esteja com o nome nas listas de restrição do SPC e do SERASA, o popular “nome sujo”.</span><p></p><div class="RqBzHd" style="background-color: white; padding: 0px 20px;"><ol class="X5LH0c" style="color: #202124; font-family: arial, sans-serif; margin: 0px; padding: 0px;"><li class="TrT0Xe" style="color: #202124; font-size: 16px; list-style: inherit; margin: 0px 0px 4px; padding: 0px;">Idade mínima. O processo de <b>financiamento</b> exige uma avaliação de risco. ...A idade considerada mínima é de 20 anos. Os bancos e instituições financeiras avaliam que alguém com menos de 20 anos não possui um histórico de compras robusto o suficiente para dizer se é ou não um bom pagador. Por isso, torna-se difícil aprovar um financiamento para quem tem 18 ou 19 anos. Já a idade máxima a ser considerada é de 70 anos.<span style="color: #2f2f2f; font-family: Roboto, Arial, sans-serif; font-size: 14px;"> </span></li><li class="TrT0Xe" style="color: #202124; list-style: inherit; margin: 0px 0px 4px; padding: 0px;">Renda comprovada. ...Segundo a Lei e as boas práticas do mercado, a parcela do financiamento pode comprometer, no máximo, 30% da renda mensal do devedor.<p style="box-sizing: border-box; color: #2f2f2f; font-family: Roboto, Arial, sans-serif; margin: 0px 0px 20px;"><span style="box-sizing: border-box;">Suponha, por exemplo, que o seu salário seja de R$ 1.200. Nesse caso, o financiamento pode ser de, no máximo, R$ 400. Já se a sua renda mensal for de, digamos, R$ 5.000, então a parcela máxima poderia ser de até R$ 1.500.</span></p></li><li class="TrT0Xe" style="color: #202124; font-size: 16px; list-style: inherit; margin: 0px 0px 4px; padding: 0px;">Score bom. ...as principais avaliadoras de crédito darão uma nota específica para a sua capacidade de pagar dívidas, com base no seu histórico, rendimentos e outros fatores Crédito Direto ao Consumidor (CDC) ...</li><li class="TrT0Xe" style="list-style: inherit; margin: 0px 0px 4px; padding: 0px;"><h2 style="box-sizing: border-box; font-family: Roboto, Arial, sans-serif; font-weight: 400; line-height: 1.5; margin-bottom: 10px; margin-top: 0px; overflow-wrap: break-word;"><strong style="box-sizing: border-box;"><span style="font-size: small;">Ter um valor para dar de entrada não é obrigatório, mas desejável</span></strong></h2><p style="box-sizing: border-box; font-family: Roboto, Arial, sans-serif; margin: 0px 0px 20px;"><span style="box-sizing: border-box;">Um dos elementos mais comuns na </span><a href="https://noxcar.com.br/qual-o-melhor-momento-para-comprar-carros-seminovos/" style="background: transparent; box-sizing: border-box; text-decoration-line: none; transition: all 0.3s ease-in-out 0s;">hora de comprar carro financiado</a><span style="box-sizing: border-box;"> <span style="color: #2f2f2f;">é a questão da entrada. Afinal, ela é obrigatória ou não?</span></span></p><p style="box-sizing: border-box; color: #2f2f2f; font-family: Roboto, Arial, sans-serif; margin: 0px 0px 20px;"><span style="box-sizing: border-box;">Tecnicamente, não. Mas ela é tão importante no momento de fechar um negócio, que todas as operadoras de crédito preferem lidar com uma entrada.</span></p><p style="box-sizing: border-box; color: #2f2f2f; font-family: Roboto, Arial, sans-serif; margin: 0px 0px 20px;"><span style="box-sizing: border-box;">Há maneiras de fazer negócio sem precisar ter os 20%, 30% de entrada, mas normalmente isso se resume a uma taxa de juros bem mais alta, que encarece o negócio em longo prazo.</span></p><p style="box-sizing: border-box; color: #2f2f2f; font-family: Roboto, Arial, sans-serif; margin: 0px 0px 20px;"><span style="box-sizing: border-box;">Portanto, mesmo que o banco ou financeira não exija uma entrada, pode ser interessante que você pague uma boa porcentagem do valor do veículo, antes de financiar o restante.</span></p></li></ol><div><span style="color: #2f2f2f; font-family: Roboto, Arial, sans-serif;">Agora você poderá simular o valor da prestação do financiamento de um carro:</span></div><div><span style="color: #2f2f2f; font-family: Roboto, Arial, sans-serif;"><a href="https://www.calcule.net/financeiro/simulador-de-financiamento-de-veiculos-simulacao-online/">https://www.calcule.net/financeiro/simulador-de-financiamento-de-veiculos-simulacao-online/</a></span></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiwN17LFjkaJb1cfyY7Dv_3lAiTQ7MMFRcwktlmecbCX8asJf905BNqHjgh5ZWd6qeS3GauqXmXk-oYf3yNjwPRhxpH8R-QJod3E2iYyuEkImU-q82PrcQKQnN5570n03xAax4GPuev7Zb2jZcwQKt1-KorxgSMlJ9nmd1iWAGIsTQQQCUPDd57dXaD" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="517" data-original-width="635" height="381" src="https://blogger.googleusercontent.com/img/a/AVvXsEiwN17LFjkaJb1cfyY7Dv_3lAiTQ7MMFRcwktlmecbCX8asJf905BNqHjgh5ZWd6qeS3GauqXmXk-oYf3yNjwPRhxpH8R-QJod3E2iYyuEkImU-q82PrcQKQnN5570n03xAax4GPuev7Zb2jZcwQKt1-KorxgSMlJ9nmd1iWAGIsTQQQCUPDd57dXaD=w468-h381" width="468" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: arial;">Atenção as armadilhas!!!</span></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhI4diaRWUZfPLtBg3D1hFGCXPNM-MS3RIZiWWTcwUJaWXGGjFdeGw2Q_Htk19nUPCN9b9LInvP6RYTObRbe8zwFyAUohVtB7YkvKsGlk9KahsBlZWvzSW36msGH98F_w9uugeXRizRb4B7tpr3HZUzWmmJu2MKmJJ1AaPMt9MEAYHLYd6Kdpyfq6kh" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="199" data-original-width="253" height="345" src="https://blogger.googleusercontent.com/img/a/AVvXsEhI4diaRWUZfPLtBg3D1hFGCXPNM-MS3RIZiWWTcwUJaWXGGjFdeGw2Q_Htk19nUPCN9b9LInvP6RYTObRbe8zwFyAUohVtB7YkvKsGlk9KahsBlZWvzSW36msGH98F_w9uugeXRizRb4B7tpr3HZUzWmmJu2MKmJJ1AaPMt9MEAYHLYd6Kdpyfq6kh=w439-h345" width="439" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><h2 style="-webkit-font-smoothing: antialiased; border-bottom-style: solid; border-color: rgb(204, 225, 239); border-image: initial; border-left-style: initial; border-right-style: initial; border-top-style: initial; border-width: 0px 0px 1px; box-sizing: border-box; clear: both; color: #1a3f83; font-weight: 400; margin: 0px 0px 20px; outline: 0px; padding: 0px 0px 10px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"><span style="font-family: arial; font-size: small;">Como calcular a parcela de um financiamento utilizando o Coeficiente de Financiamento</span></h2></div><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Ele é nada mais que um número que ao ser multiplicado pelo valor a ser financiado que irá gerar o valor de cada <span style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; text-rendering: optimizelegibility; vertical-align: baseline;">prestação de um financiamento</span>.</p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Algebricamente ele pode ser encontrado através da fórmula abaixo:</p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjWvYuxcWrvx0YxMaRE1HEXTySUCpA2nym54gv8hvM2Oz2EH0oArypN35zQ0-wQxwBM4w-S-xzoeWpDn7zwRf0iIlH2WSFVIPZ-J_V0q4Sc45AbgZQ3XnWcrSC3zcFcO8WO_LnWxlNGoIKFJ_1denmECHQNyyJuFoJREmwCdag5Xr_Ic1-c7wQdVoCV" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="287" data-original-width="638" height="144" src="https://blogger.googleusercontent.com/img/a/AVvXsEjWvYuxcWrvx0YxMaRE1HEXTySUCpA2nym54gv8hvM2Oz2EH0oArypN35zQ0-wQxwBM4w-S-xzoeWpDn7zwRf0iIlH2WSFVIPZ-J_V0q4Sc45AbgZQ3XnWcrSC3zcFcO8WO_LnWxlNGoIKFJ_1denmECHQNyyJuFoJREmwCdag5Xr_Ic1-c7wQdVoCV" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Pegando o exemplo anterior, onde nós estamos querendo comprar um carro no valor de R$ 40.000,00 em 36 prestações mensais, com uma taxa de juros mensais do financiamento de 3% ao mês.</p><div class="separator" style="clear: both;"><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjb7EztMCe27UxSOs64M0vhiqWEI2GRge84FPs5-uQ8BN9MIcQL57qKH1_SDF4QwwnA2b383pljR_gKieCpcC8tFSeRETJDLD0c7rQuVlZpvzhMKQ536PR8SqkXNTAfk-F5wmcp3yR3T0NgUZr6t3C98szEZhCChCR0c40P0vVULprei20bUKxlx3Z7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1024" data-original-width="410" height="1109" src="https://blogger.googleusercontent.com/img/a/AVvXsEjb7EztMCe27UxSOs64M0vhiqWEI2GRge84FPs5-uQ8BN9MIcQL57qKH1_SDF4QwwnA2b383pljR_gKieCpcC8tFSeRETJDLD0c7rQuVlZpvzhMKQ536PR8SqkXNTAfk-F5wmcp3yR3T0NgUZr6t3C98szEZhCChCR0c40P0vVULprei20bUKxlx3Z7=w510-h1109" width="510" /></a></div><br /><p></p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Vamos inicialmente calcular o <span style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; text-rendering: optimizelegibility; vertical-align: baseline;">Coeficiente de Financiamento</span>:</p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjW9jQ_kS4AFAOHm58Xj9BK-U78ZyOuP1Fph0jkplax4x1dW2HEXWE2mb_iAC7S9MFe1ncl9yA1bvxwvdeDnfHB3d4tp4p_d-ucUte8WCDtXWxEOyLABxA0THu1_sK0Lr2lCf4oLkREGR9oIyXQeweyaAQKivo0NRJehN0MZM4SzoK0n_1VOYRWTMRx" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="261" data-original-width="954" height="88" src="https://blogger.googleusercontent.com/img/a/AVvXsEjW9jQ_kS4AFAOHm58Xj9BK-U78ZyOuP1Fph0jkplax4x1dW2HEXWE2mb_iAC7S9MFe1ncl9yA1bvxwvdeDnfHB3d4tp4p_d-ucUte8WCDtXWxEOyLABxA0THu1_sK0Lr2lCf4oLkREGR9oIyXQeweyaAQKivo0NRJehN0MZM4SzoK0n_1VOYRWTMRx" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Como o valor financiado foi de R$ 40.000,00, encontramos o valor da prestação multiplicando 40.000,00 pelo <span style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; text-rendering: optimizelegibility; vertical-align: baseline;">Coeficiente de Financiamento </span>de 0,045804:</p><div class="separator" style="clear: both;"><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Valor da Prestação = 40.000,00 x 0,045804 = 1832,15.</p><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;">Este fator é fixo para 36 prestações e taxa de 3% ao mês.</p></div><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"><br /></p></div><p style="-webkit-font-smoothing: antialiased; border: 0px; box-sizing: border-box; font-family: Arial, sans-serif; font-size: 17.008px; line-height: 1.7; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: start; text-rendering: optimizelegibility; vertical-align: baseline;"><br /><br /></p><br /></div><br /><br /></div><div><span style="color: #2f2f2f; font-family: Roboto, Arial, sans-serif;"><br /></span></div></div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-3769210606562907452023-02-06T13:32:00.002-03:002023-02-06T13:32:12.986-03:00Iniciando educação financeira<p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/v4D2UEadI7E" width="320" youtube-src-id="v4D2UEadI7E"></iframe></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div> <br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-10524051758215303152023-01-27T10:00:00.006-03:002023-01-27T10:00:59.671-03:00Quizz - Você é gastador ou poupador? Empreendedorismo<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjqLCngcZL8A-4uQvCI5dAazDWOrv4Ck2VvkKdp5Bzspg1am8uevu6AJr6o7HQMnsbeWt7FzyFcJ9wpOVrERZQ6WbaozmUyA3DFTuriqUuQgCDstkKrI2wGOiW8GNiUfumJf8RTTLxoVDxjDy58pTh9oCWt9mhNBLnS6treBEcyWbY3weMw50eQ2aIh" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1015" data-original-width="739" height="477" src="https://blogger.googleusercontent.com/img/a/AVvXsEjqLCngcZL8A-4uQvCI5dAazDWOrv4Ck2VvkKdp5Bzspg1am8uevu6AJr6o7HQMnsbeWt7FzyFcJ9wpOVrERZQ6WbaozmUyA3DFTuriqUuQgCDstkKrI2wGOiW8GNiUfumJf8RTTLxoVDxjDy58pTh9oCWt9mhNBLnS6treBEcyWbY3weMw50eQ2aIh=w347-h477" width="347" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhRGECDqOkoSnZKu7U6y2GWIFlKmjBxRi5229TQ8mbgacoSnLEGFS_YRElInqKUJzvszI_r_tibALar_ga1q34T9YuzkA8xgdHAPwtsaGR0xCN1e-T0szV2b6g2vNKF2tFJS1Q_CeBk9RvG5HfTdaNBRu8LoDwR_54NYK3pNW1Lf-KuK8-BSQBaO4fZ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1071" data-original-width="739" height="413" src="https://blogger.googleusercontent.com/img/a/AVvXsEhRGECDqOkoSnZKu7U6y2GWIFlKmjBxRi5229TQ8mbgacoSnLEGFS_YRElInqKUJzvszI_r_tibALar_ga1q34T9YuzkA8xgdHAPwtsaGR0xCN1e-T0szV2b6g2vNKF2tFJS1Q_CeBk9RvG5HfTdaNBRu8LoDwR_54NYK3pNW1Lf-KuK8-BSQBaO4fZ=w343-h413" width="343" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgf1QWcKqFbRYN7y8Fdw6Rk1Ce-PFHvKuOcpJuEPn_LlfOxed9pkFxk5Doy5bUc77u3JMknhIuLiVuR9W9kbnaVX0TFPdOlbs4FFt2BUljrPigsymqNTfm250ahxRNB3XbURpOzzl5sFNHQOFgEFSgSvG7cX09JzKTnnLHXOcc9qrX-q3GUoFh1SGD7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1101" data-original-width="739" height="395" src="https://blogger.googleusercontent.com/img/a/AVvXsEgf1QWcKqFbRYN7y8Fdw6Rk1Ce-PFHvKuOcpJuEPn_LlfOxed9pkFxk5Doy5bUc77u3JMknhIuLiVuR9W9kbnaVX0TFPdOlbs4FFt2BUljrPigsymqNTfm250ahxRNB3XbURpOzzl5sFNHQOFgEFSgSvG7cX09JzKTnnLHXOcc9qrX-q3GUoFh1SGD7=w337-h395" width="337" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjMdXUi55F16EyNv8uP4hZfAQH76TLQjV693cFMOROx7lPbOathCTaNu6JqXvzZ7v-0bDy6B_4JWqNjfOG0FplxDycdvh1eGlyhg59yYNB-0SCNLqc1_f12HDGNknAN4HqsAIyEDl06jfgjCxFQnuerAnV5GlpajkMrC8CDnR4RZK0vj2vpVCB-fXtX" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="939" data-original-width="739" height="389" src="https://blogger.googleusercontent.com/img/a/AVvXsEjMdXUi55F16EyNv8uP4hZfAQH76TLQjV693cFMOROx7lPbOathCTaNu6JqXvzZ7v-0bDy6B_4JWqNjfOG0FplxDycdvh1eGlyhg59yYNB-0SCNLqc1_f12HDGNknAN4HqsAIyEDl06jfgjCxFQnuerAnV5GlpajkMrC8CDnR4RZK0vj2vpVCB-fXtX=w331-h389" width="331" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhK4Ax1WiNe_8ZLit3O9qNfXfSA0eX8vxtVtH4BQ1pqVg2LX8uemcUUmlBkuQVc-Z9UPCERK01xjdxnDQydHJMY5b-9Bq2BeOvgbiFWc7hpxHcPn2zTnVQWXFCxst_dpP8-Ex0Cw1faaePsYEgMeYYaoR2ydknFXRH86nvstu2hpO-4YeFDiXiVhbYZ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1060" data-original-width="740" height="444" src="https://blogger.googleusercontent.com/img/a/AVvXsEhK4Ax1WiNe_8ZLit3O9qNfXfSA0eX8vxtVtH4BQ1pqVg2LX8uemcUUmlBkuQVc-Z9UPCERK01xjdxnDQydHJMY5b-9Bq2BeOvgbiFWc7hpxHcPn2zTnVQWXFCxst_dpP8-Ex0Cw1faaePsYEgMeYYaoR2ydknFXRH86nvstu2hpO-4YeFDiXiVhbYZ=w328-h444" width="328" /></a></div><div class="separator" style="clear: both; text-align: center;">A coragem de inovar</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg4YQ7hkjLZn5ryTfqypTpKmMmCZEGCRSdzkgc0KmzZP8dMNCwK7KxR0PJnRx4TBtE4ZVNeUCkhlTvMMxvqILShNZFXeT-Gz0U2a_4VkcfgEGDYX4r33WlKjstF1Vk8uOVvv6vXQ22ASfhyr3ei5UlHgLPcJE9OOJio84X6SeGvyG3pvsJQpbpyg12E" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="752" data-original-width="740" height="308" src="https://blogger.googleusercontent.com/img/a/AVvXsEg4YQ7hkjLZn5ryTfqypTpKmMmCZEGCRSdzkgc0KmzZP8dMNCwK7KxR0PJnRx4TBtE4ZVNeUCkhlTvMMxvqILShNZFXeT-Gz0U2a_4VkcfgEGDYX4r33WlKjstF1Vk8uOVvv6vXQ22ASfhyr3ei5UlHgLPcJE9OOJio84X6SeGvyG3pvsJQpbpyg12E=w321-h308" width="321" /></a></div><br /><br /><br /></div><br /><br /></div><br /><br /><br /></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-76857956782065621672023-01-27T09:47:00.001-03:002023-01-27T09:47:18.076-03:00Empreendedorismo: Tipos de consumidores e consumismo responsável<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjMRmDPVkUVl65zQHvYfd60ZKCSv0rnMesTNSHv8CZ4Qhdmwzt6rZdVaG9Wgn8-8FarUlyK5_V3dP3CPWCsPu1XHeXwkUoeuhLSbp92cSkD2LvuBgrbKfEtJ5iYSNXue6XRtIrPWTaspp0aauaiSElIQJ4yW7yM7O3D8OmflZ7bnjhnZVLJEzhnWpGD" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1293" data-original-width="739" height="526" src="https://blogger.googleusercontent.com/img/a/AVvXsEjMRmDPVkUVl65zQHvYfd60ZKCSv0rnMesTNSHv8CZ4Qhdmwzt6rZdVaG9Wgn8-8FarUlyK5_V3dP3CPWCsPu1XHeXwkUoeuhLSbp92cSkD2LvuBgrbKfEtJ5iYSNXue6XRtIrPWTaspp0aauaiSElIQJ4yW7yM7O3D8OmflZ7bnjhnZVLJEzhnWpGD=w401-h526" width="401" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh83TTtDBSL_5iyH266hQRwumKqyRdvf4VErl__iwa12cch3c43yQrGztc_5yZZMhIRlWPqVl5B2fcc0S22xeSTGYoH-Onf-1Tp7ouOW-k5WmGgmXgIIpn_hxjgXg5gK2n7IEdEi5Konu5qOHZ-GP8k_W6ZH_O_A-fKw-jCqDEQ1s6MHWzJxkl2cro7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1048" data-original-width="739" height="440" src="https://blogger.googleusercontent.com/img/a/AVvXsEh83TTtDBSL_5iyH266hQRwumKqyRdvf4VErl__iwa12cch3c43yQrGztc_5yZZMhIRlWPqVl5B2fcc0S22xeSTGYoH-Onf-1Tp7ouOW-k5WmGgmXgIIpn_hxjgXg5gK2n7IEdEi5Konu5qOHZ-GP8k_W6ZH_O_A-fKw-jCqDEQ1s6MHWzJxkl2cro7=w365-h440" width="365" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEih1v-Dv85UvWHjfOb95imfleidbKj_KnBUEPBKgNwnXnUngdGDVSvvKtMP0u3PaxJt-w8R_ydUWo4qO8adO6NE4n1UiusiBFHe0w748FbdsAg6exdAEpss0BPk_dtRBZmZbH79brVL93k2GkZpwhNrUj47GdOFvas2jXxdnolr8165PGSqwE2EJFNw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1044" data-original-width="740" height="434" src="https://blogger.googleusercontent.com/img/a/AVvXsEih1v-Dv85UvWHjfOb95imfleidbKj_KnBUEPBKgNwnXnUngdGDVSvvKtMP0u3PaxJt-w8R_ydUWo4qO8adO6NE4n1UiusiBFHe0w748FbdsAg6exdAEpss0BPk_dtRBZmZbH79brVL93k2GkZpwhNrUj47GdOFvas2jXxdnolr8165PGSqwE2EJFNw=w362-h434" width="362" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh8x5XfpjGD1FdPN-pKpdB-REGKVqlWFCyJZNVRy03TCvZHBTeoKBZ9_Mzd558GMiejkNKWiaB1a5AA6ehjMrX6IUAG7muUAkUhpMeQ5aiu428vf6jrjGKI5DHvT2oq4S3GIS-HRC2tICBGe9Ropf8AroJTnVBR_TCJA1jygwpxL6txw1qAYgYBR4Ea" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1068" data-original-width="740" height="422" src="https://blogger.googleusercontent.com/img/a/AVvXsEh8x5XfpjGD1FdPN-pKpdB-REGKVqlWFCyJZNVRy03TCvZHBTeoKBZ9_Mzd558GMiejkNKWiaB1a5AA6ehjMrX6IUAG7muUAkUhpMeQ5aiu428vf6jrjGKI5DHvT2oq4S3GIS-HRC2tICBGe9Ropf8AroJTnVBR_TCJA1jygwpxL6txw1qAYgYBR4Ea=w350-h422" width="350" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhRBAHZV55UGc8loSH5UMRYidgg6AnUxlxypBfkYk2V1e3Jyx9rXDTpKJHw8UVTF_LduCJDWVBuF80s-dZKgBSoaPhs9dl7aMAw7AooR21Vr6S6Srps8zCj1PGWJzFR-9BjUTis-q1eKen95UFPS8WLuXdFoXrZUog7oLtr_glmV-0p2YKPnm7V57fp" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="925" data-original-width="739" height="471" src="https://blogger.googleusercontent.com/img/a/AVvXsEhRBAHZV55UGc8loSH5UMRYidgg6AnUxlxypBfkYk2V1e3Jyx9rXDTpKJHw8UVTF_LduCJDWVBuF80s-dZKgBSoaPhs9dl7aMAw7AooR21Vr6S6Srps8zCj1PGWJzFR-9BjUTis-q1eKen95UFPS8WLuXdFoXrZUog7oLtr_glmV-0p2YKPnm7V57fp=w351-h471" width="351" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /></div><br /><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-49702274524559212802023-01-27T09:33:00.005-03:002023-01-27T09:33:52.662-03:00Empreendedorismo e educação financeira no dia a dia Aula 3<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh02YHoSEy0X-MMHnPMj8VHjcO9qCod8o5Fn9YDnDms--7VWefKF66adks02HvPR2x6yC5zXSmiE6GZyKjpF1XR9A7K7dL7kG7WmgdnncFxI9dEBrO9ttsgb7cgMQReJD4WHRXIt_TWnEEP3D6qA64guRqj-7pBPiRWAouKYz1JJ_6FlJx7yG6gEpMt" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1200" data-original-width="739" height="495" src="https://blogger.googleusercontent.com/img/a/AVvXsEh02YHoSEy0X-MMHnPMj8VHjcO9qCod8o5Fn9YDnDms--7VWefKF66adks02HvPR2x6yC5zXSmiE6GZyKjpF1XR9A7K7dL7kG7WmgdnncFxI9dEBrO9ttsgb7cgMQReJD4WHRXIt_TWnEEP3D6qA64guRqj-7pBPiRWAouKYz1JJ_6FlJx7yG6gEpMt=w399-h495" width="399" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiWrHdj6gi2tlFzSBjY3amWU3enJg8_3IEO6Ya6fs2wAsTFcNGo8KbQZWMrQYqjBLh8RfouxK8QHKxGTd50hJti1ySNzUOq1d8krvYSTFtfjV5ELniqWV_Bch5lU4VfZqkIrJUwjC1XzmIMwbjf7PSihQso07YjpKbh3NOBOS16IqoyTgDjTuTVQq5j" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1123" data-original-width="735" height="459" src="https://blogger.googleusercontent.com/img/a/AVvXsEiWrHdj6gi2tlFzSBjY3amWU3enJg8_3IEO6Ya6fs2wAsTFcNGo8KbQZWMrQYqjBLh8RfouxK8QHKxGTd50hJti1ySNzUOq1d8krvYSTFtfjV5ELniqWV_Bch5lU4VfZqkIrJUwjC1XzmIMwbjf7PSihQso07YjpKbh3NOBOS16IqoyTgDjTuTVQq5j=w394-h459" width="394" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjuZ0urqZYZfT8P-PbZ7n6bIDQEerJUjisk9N-rXNpAUPPbByYJqIUFq65L4mNqqgZQ52kY6yznd3B5Fy6A2ZD0_6gR2ijdBAr0EuBgCVX4ck-5bcAYcOXKYV-VyHhNHh1c98aqf7C8sBzGo72rplnqJL2ZvDfPqkF1CGVRC7aL75KFsMApXqBH2IVD" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="831" data-original-width="735" height="434" src="https://blogger.googleusercontent.com/img/a/AVvXsEjuZ0urqZYZfT8P-PbZ7n6bIDQEerJUjisk9N-rXNpAUPPbByYJqIUFq65L4mNqqgZQ52kY6yznd3B5Fy6A2ZD0_6gR2ijdBAr0EuBgCVX4ck-5bcAYcOXKYV-VyHhNHh1c98aqf7C8sBzGo72rplnqJL2ZvDfPqkF1CGVRC7aL75KFsMApXqBH2IVD=w383-h434" width="383" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj3bNM5QOk3u8IFWgLsdLDEWrmJySqeCkp9HObWoNNe0KinDM6DlYysifC7LiO-6PIICxWu2VnM3UZcXIHEBH95ptQmqXJaTkXTRzThKUFPmUXpQyEabngM_pRFw3_yCBd0iePr3ueEZBbr2vBHc_kGrxDAcrerv64FUcNpDF7Z5VlXHX3E_4jVNR-k" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="753" data-original-width="739" height="383" src="https://blogger.googleusercontent.com/img/a/AVvXsEj3bNM5QOk3u8IFWgLsdLDEWrmJySqeCkp9HObWoNNe0KinDM6DlYysifC7LiO-6PIICxWu2VnM3UZcXIHEBH95ptQmqXJaTkXTRzThKUFPmUXpQyEabngM_pRFw3_yCBd0iePr3ueEZBbr2vBHc_kGrxDAcrerv64FUcNpDF7Z5VlXHX3E_4jVNR-k=w377-h383" width="377" /></a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiKrunUh_HCFOECYRTdIpXbtlirZiK-OHYOe6BfZRqcRt1FwlvkinRrxqdyfAgkbofI_4PwtFufJgJb3aoZwJYVgC-ymf0q7gbkJtTvfGwuZXZhNzIWs9NLXoQtAUSIYYtE-kqNjs6wxfu3Uoe174HdIPFD3vUNZthojOZ5JkVjnQ1xJhueLukxio8V" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="781" data-original-width="739" height="376" src="https://blogger.googleusercontent.com/img/a/AVvXsEiKrunUh_HCFOECYRTdIpXbtlirZiK-OHYOe6BfZRqcRt1FwlvkinRrxqdyfAgkbofI_4PwtFufJgJb3aoZwJYVgC-ymf0q7gbkJtTvfGwuZXZhNzIWs9NLXoQtAUSIYYtE-kqNjs6wxfu3Uoe174HdIPFD3vUNZthojOZ5JkVjnQ1xJhueLukxio8V=w367-h376" width="367" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><br /></div><br /><br /></div><br /><br /></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-26895522234034723512023-01-27T09:13:00.004-03:002023-01-27T09:13:25.948-03:00Olimpíada de Educação financeira<p> <br /></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCQDNE6lR77BzfBoR-n-uIlpXV7htF2UbIDfRTSZKiGvFV0ZqDV6TpRWUEterN8xD5ldP4z9D7czhHpSz08A51BVMfZug7R8g6Xz1E78WwA5d1m5EgvKd9XUDZzt2yIJvecMo8_Loq_xa4SDVGHQILG94g4QFz8ukrOCRR6DfSSktiTgXODraaa5DQ/s1536/f1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1536" data-original-width="1170" height="339" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjCQDNE6lR77BzfBoR-n-uIlpXV7htF2UbIDfRTSZKiGvFV0ZqDV6TpRWUEterN8xD5ldP4z9D7czhHpSz08A51BVMfZug7R8g6Xz1E78WwA5d1m5EgvKd9XUDZzt2yIJvecMo8_Loq_xa4SDVGHQILG94g4QFz8ukrOCRR6DfSSktiTgXODraaa5DQ/w259-h339/f1.jpg" width="259" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQyLt-Mg899tYI-SMA_POMyR855n4-W6Xf82FQdDvIl7hNYi1aypJCrXthoVhcoXKublSdFutQT0_Aa-dqBrd0KhIV5aZqgDkgANqkkV1pR8Pc5bCk_IR5VFiNNde28D0lt_z3F0ZJwADJ5BL-I6ZuqucLoMu6im-KKGxL_evMYEXh39Z6K13oOQDt/s1600/f2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1108" height="419" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQyLt-Mg899tYI-SMA_POMyR855n4-W6Xf82FQdDvIl7hNYi1aypJCrXthoVhcoXKublSdFutQT0_Aa-dqBrd0KhIV5aZqgDkgANqkkV1pR8Pc5bCk_IR5VFiNNde28D0lt_z3F0ZJwADJ5BL-I6ZuqucLoMu6im-KKGxL_evMYEXh39Z6K13oOQDt/w290-h419/f2.jpg" width="290" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8lTxA9A5VgyUIiXrFqHnXMrN3xQxmN2R6_jLTuXdU2KeLs33G_jxCkXb0kqpxOfgLkkUt0m0IXM_PpyVkh2qnAOSoitsVPEFT3RxoqcBaHt3I0ffucmHPcbI3btTqeZIxBvRU8OTrxhybWl1_XpAGfdytgrL6dF-oRp4JpWUgqwzUTovi1Wempavg/s1580/f3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1580" data-original-width="1170" height="399" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8lTxA9A5VgyUIiXrFqHnXMrN3xQxmN2R6_jLTuXdU2KeLs33G_jxCkXb0kqpxOfgLkkUt0m0IXM_PpyVkh2qnAOSoitsVPEFT3RxoqcBaHt3I0ffucmHPcbI3btTqeZIxBvRU8OTrxhybWl1_XpAGfdytgrL6dF-oRp4JpWUgqwzUTovi1Wempavg/w295-h399/f3.jpg" width="295" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7JA96NqlU0OEL4w9etBc0IiNLvKyjetnjAjBG9jvRgeJrlWKe4H8wtwzJ99zq5ln-BQDN9VOYQERZ_3K2--gPODRHwYKvc2-sH3ifT14qgPHrGBE9gJPPsBMJdLq6-I4SaihotRXKMky2t01ZUwe6pTP4azymUckYMDepTEDUCoLVVf4Ga9YJ_qUf/s1600/f5.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1600" data-original-width="1160" height="370" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg7JA96NqlU0OEL4w9etBc0IiNLvKyjetnjAjBG9jvRgeJrlWKe4H8wtwzJ99zq5ln-BQDN9VOYQERZ_3K2--gPODRHwYKvc2-sH3ifT14qgPHrGBE9gJPPsBMJdLq6-I4SaihotRXKMky2t01ZUwe6pTP4azymUckYMDepTEDUCoLVVf4Ga9YJ_qUf/w268-h370/f5.jpg" width="268" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4jEr5CnCB0PHSFILMbhG9LOcnAXs5biNnjwCjjUNXjLptrYlfnAQ_vnlR7-mcPS15lDHbNwXwT8ZdfBbfPUrPtApqmV97m-pIm7oxSx-Suuf9JkEkRVcZUjI2sFdxh3FImSaohv_8aWmU4HF88Y9PqA8KvhMk46aA-3gGCcD8u8XKDDsqrZ3cY6GL/s1584/f4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1584" data-original-width="1170" height="384" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4jEr5CnCB0PHSFILMbhG9LOcnAXs5biNnjwCjjUNXjLptrYlfnAQ_vnlR7-mcPS15lDHbNwXwT8ZdfBbfPUrPtApqmV97m-pIm7oxSx-Suuf9JkEkRVcZUjI2sFdxh3FImSaohv_8aWmU4HF88Y9PqA8KvhMk46aA-3gGCcD8u8XKDDsqrZ3cY6GL/w284-h384/f4.jpg" width="284" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf4ywy9PBxyQeIo550TDLKMlNGXdi6TicIXTtyb4jfZyGAKeAFn2TaUQn65qnlp8yEwU77XwEFjLtE9VCaD18Rl-KWKkQXQEn3yG1iLTjvnXVBoU1AtZSFpkLlKjS8rfDyD6RwIRvPqu_OF4-pYKBh5IsXW6tR2LqZvVuvq87gfYiO74iBnbmRpXe4/s1170/f6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="575" data-original-width="1170" height="157" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhf4ywy9PBxyQeIo550TDLKMlNGXdi6TicIXTtyb4jfZyGAKeAFn2TaUQn65qnlp8yEwU77XwEFjLtE9VCaD18Rl-KWKkQXQEn3yG1iLTjvnXVBoU1AtZSFpkLlKjS8rfDyD6RwIRvPqu_OF4-pYKBh5IsXW6tR2LqZvVuvq87gfYiO74iBnbmRpXe4/s320/f6.jpg" width="320" /></a></div><br /><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-62379267268369195342023-01-27T08:33:00.001-03:002023-01-27T08:33:55.253-03:00Mapa Conceitual de Educação financeira<p> </p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></div><br /><p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQPgFRO_hl5v2o64GY5gEUK9hZfIuYtt4Eib20X8GzxIKrpMr_1DBBgqayiV7S4VjQVfN6k33H4-9KgRgbrvuK8z3sT3v9TV02goOS7eUwR3W4R60LTrnkhbngl1bk4CrRANZwzafzBB4vZCxuxxB6f-KNwbRnm1oMlEo9Ikkpq6ESRsG0oPSD4xUQ/s1600/06abb195-f94e-4cff-83ea-504943ee9e4d.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="739" data-original-width="1600" height="369" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQPgFRO_hl5v2o64GY5gEUK9hZfIuYtt4Eib20X8GzxIKrpMr_1DBBgqayiV7S4VjQVfN6k33H4-9KgRgbrvuK8z3sT3v9TV02goOS7eUwR3W4R60LTrnkhbngl1bk4CrRANZwzafzBB4vZCxuxxB6f-KNwbRnm1oMlEo9Ikkpq6ESRsG0oPSD4xUQ/w534-h369/06abb195-f94e-4cff-83ea-504943ee9e4d.jpg" width="534" /></a></div><br /><div class="separator" style="clear: both; text-align: right;"><br /></div><div class="separator" style="clear: both; text-align: right;"><br /></div><div class="separator" style="clear: both; text-align: left;">Conceitue:</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">a)Juro</div><div class="separator" style="clear: both; text-align: left;">b)Montante</div><div class="separator" style="clear: both; text-align: left;">c) Juros Simples</div><div class="separator" style="clear: both; text-align: left;">d) Juros Compostos</div><div class="separator" style="clear: both; text-align: left;">e) Taxa de Juros</div><br /><br /></div><br /><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-46152522536213646432022-06-07T15:51:00.004-03:002022-06-07T16:39:36.203-03:00Volume e áreas do cone<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhRi37bw8aSYVzRXFNPPYsBbVPsbwLGHMple6BdEa8Zf0mjT0OaQuhpO6_lXNjCNoUJGX4XRAE96pPc2T7_E-cMVksl2HmeQ8MstAXj7mFpzOpDQi5wlvFEPzqprlDxy6990XC0tP1ZRe7nPVM8DIvLSn6NdcLxYCEyuDx4EACqc_-Wa9mG_iMknVEC" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="720" data-original-width="1280" height="248" src="https://blogger.googleusercontent.com/img/a/AVvXsEhRi37bw8aSYVzRXFNPPYsBbVPsbwLGHMple6BdEa8Zf0mjT0OaQuhpO6_lXNjCNoUJGX4XRAE96pPc2T7_E-cMVksl2HmeQ8MstAXj7mFpzOpDQi5wlvFEPzqprlDxy6990XC0tP1ZRe7nPVM8DIvLSn6NdcLxYCEyuDx4EACqc_-Wa9mG_iMknVEC=w441-h248" width="441" /></a></div><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgPMV5O1Oe5EGqUGhSUwRTZjGzSpCt9a_HcYa6ngYW4jzdvCkq5Dbv5Il4VX3BNdvAqR4SPqgUaBgHPV6JIf9T8e5ect5jPg3k1i1tvDTEaBFXuPgRxHX0ufy5lxrDMF4Ta1c145v3kA-qpzi4Jhbnnq4STNOVrP4-AJg6PQAuWFhKDHQ8XpQjyKhJo" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1349" data-original-width="1080" height="430" src="https://blogger.googleusercontent.com/img/a/AVvXsEgPMV5O1Oe5EGqUGhSUwRTZjGzSpCt9a_HcYa6ngYW4jzdvCkq5Dbv5Il4VX3BNdvAqR4SPqgUaBgHPV6JIf9T8e5ect5jPg3k1i1tvDTEaBFXuPgRxHX0ufy5lxrDMF4Ta1c145v3kA-qpzi4Jhbnnq4STNOVrP4-AJg6PQAuWFhKDHQ8XpQjyKhJo=w345-h430" width="345" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">Uma embalagem possui o formato de um cone. Sabendo que o raio da base desse cone é de 12 cm e sua altura é de 16 cm, então a área total dessa embalagem é:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">(Use π = 3)</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">A) 1152 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">B) 1232 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">C) 1315 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">D) 1408 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">E) 1500 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">Alternativa A</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">Primeiro encontraremos a geratriz do <a href="https://brasilescola.uol.com.br/matematica/cone.htm" style="background: 0px 0px; border: 0px; font-family: inherit; margin: 0px; outline: 0px; padding: 0px;">cone</a>:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g² = r² + h²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g² = 12² + 16²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g² = 144 + 256</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g² = 400</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g = √400</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">g = 20</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">Agora calcularemos a área total:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">A<sub style="background: 0px 0px; border: 0px; font-family: inherit; font-size: 17px; margin: 0px; outline: 0px; padding: 0px;">t</sub> = π · r (r + g)</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">A<sub style="background: 0px 0px; border: 0px; font-family: inherit; font-size: 17px; margin: 0px; outline: 0px; padding: 0px;">t</sub> = 3 · 12 (12 + 20)</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">A<sub style="background: 0px 0px; border: 0px; font-family: inherit; font-size: 17px; margin: 0px; outline: 0px; padding: 0px;">t</sub> = 36 ⸳ 32</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;">A<sub style="background: 0px 0px; border: 0px; font-family: inherit; font-size: 17px; margin: 0px; outline: 0px; padding: 0px;">t</sub> = 1152 cm²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: center;"><br /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">2) Observar um cone, João fez três afirmativas:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">I → O cone é um poliedro de base circular.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">II → Devido à forma arredondada, o cone é um corpo redondo.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">III → O cone possui a forma de um polígono.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Analisando as afirmativas feitas pelo João, podemos afirmar que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">A) Somente a I está correta.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">B) Somente a II está correta.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">C) Somente a III está correta.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">D) Somente I e II estão corretas.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">E) Somente II e III estão corretas.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;"><br /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">alternativa B</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;"><br /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">3) (IDCAP) A figura abaixo é de um cone que tem o volume V = 37,68 cm³ e cujo raio da base é r = 3 cm. Considerando π = 3,14, a medida de g é:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;"><img alt="Ilustração de cone com demarcação de raio, altura e geratriz." height="137" src="https://s2.static.brasilescola.uol.com.br/exercicios/2021/10/ilustracao-cone.jpg" style="background: 0px 0px; border: 0px; font-family: inherit; margin: 0px; outline: 0px; padding: 0px;" width="131" /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Então, a geratriz desse cone é igual a:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">A) 4 cm</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">B) 3 cm</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">C) 28 cm</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">D) 5 cm</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">E) 113 cm</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Então, temos que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;"><img alt="Cálculo de geratriz de cone com volume igual a 37,68 cm³ e raio da base igual a 3 cm" height="260" src="https://s4.static.brasilescola.uol.com.br/exercicios/2021/10/exemplo-calculo-geratriz-cone.jpg" style="background: 0px 0px; border: 0px; font-family: inherit; margin: 0px; outline: 0px; padding: 0px;" width="166" /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Agora sabemos que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g² = h² + r²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g² = 4² + 3²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g² = 16 + 9</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g² = 25</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g = √25</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g = 5</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;"><br /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; margin: 0px 0px 15px; outline: 0px; padding: 0px; text-align: justify;">4)(Enem – PPL) Um arquiteto está fazendo um projeto de iluminação de ambiente e necessita saber a altura que deverá instalar a luminária ilustrada na figura.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;"><img alt="Esquema ilustrativo de projeto de iluminação que forma um cone de geratriz igual a 5 m." height="227" src="https://s1.static.brasilescola.uol.com.br/exercicios/2021/10/ilustracao-projeto-iluminicao-cone.jpg" style="background: 0px 0px; border: 0px; font-family: inherit; margin: 0px; outline: 0px; padding: 0px;" width="200" /></p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Sabendo que a luminária deverá iluminar uma área circular de 28,26 m², considerando π ≅ 3,14, a altura h será igual a</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">A) 3 m.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">B) 4 m.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">C) 5 m.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">D) 9 m.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 16px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">E) 16 m.</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Alternativa B</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Sabemos que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">A = π ⸳ r²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Calculando o raio, temos que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">28,26 = 3,14 . r²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">r² = 28,26 : 3,14</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">r² = 9</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">r = √9</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">r = 3 metros</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: justify;">Agora, encontraremos a altura, pois sabemos que:</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">g² = h² + r²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">5² = h² + 3²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">25 = h² + 9</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">25 – 9 = h²</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">h² = 16</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">h = √16</p><p style="background: 0px 0px rgb(255, 255, 255); border: 0px; font-family: Raleway; font-size: 17px; margin-bottom: 15px !important; margin-left: 0px; margin-right: 0px; margin-top: 0px; outline: 0px; padding: 0px; text-align: center;">h = 4 metros</p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-81676139497306833502022-05-19T09:25:00.003-03:002022-05-19T09:25:56.627-03:00Novo Ensino Médio: As faces de Pitágoras<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgE0gpqe9wvsmPn3Ib_mmRmDcaBaHLNp2f-4sx2G3_-lPBgz-Au_ZDvBYCIeDnUoxlT8wjkVjY2eHNmnL1Is8hsmNxxMctSLdlnNbEka8h8EPBzqp3uirXnAWov2tEO3tUGCSb3FUNV1-eXdxe1ksHcCGdoiviCWPvM9noeOUdMWTxmxUc6ya89ilHe" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="453" data-original-width="630" height="230" src="https://blogger.googleusercontent.com/img/a/AVvXsEgE0gpqe9wvsmPn3Ib_mmRmDcaBaHLNp2f-4sx2G3_-lPBgz-Au_ZDvBYCIeDnUoxlT8wjkVjY2eHNmnL1Is8hsmNxxMctSLdlnNbEka8h8EPBzqp3uirXnAWov2tEO3tUGCSb3FUNV1-eXdxe1ksHcCGdoiviCWPvM9noeOUdMWTxmxUc6ya89ilHe" width="320" /></a></div><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 20px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Pitágoras de Samos</span> foi um dos grandes filósofos pré-socráticos e matemáticos da Grécia Antiga.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">Segundo ele “<em style="box-sizing: border-box;">tudo é número</em>”, frase que indica uma explicação para a realidade e tudo que existe no mundo. A ele foi atribuído o uso e criação dos termos “filó</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">sofo” e “matemática”</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 20px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Pitágoras de Samos</span> foi um dos grandes filósofos pré-socráticos e matemáticos da Grécia Antiga.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">Segundo ele “<em style="box-sizing: border-box;">tudo é número</em>”, frase que indica uma explicação para a realidade e tudo que existe no mundo. A ele foi atribuído o uso e criação dos termos “filósofo” e “matemática”</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">Foi orientado na cidade grega de Mileto por um dos maiores filósofos pré-socráticos: <a href="https://www.todamateria.com.br/tales-de-mileto/" style="border-bottom: 0.08em solid rgba(0, 0, 0, 0.1); box-sizing: border-box; color: #337ab7; text-decoration-line: none;">Tales de Mileto</a>.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">No entanto, suas ideias revolucionárias para a época o levaram a ser perseguido. Nesse momento, mudou-se para Crotona (sul da Itália), região conhecida como Magna Grécia.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">Foi ali que fundou uma escola de caráter místico-filosófico que ficou conhecida como <em style="box-sizing: border-box;">“Escola Pitagórica”.</em></p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">Entretanto, foi perseguido novamente, deixando Crotona e partindo para o Egito, onde ao observar as pirâmides, criou o Teorema de Pitágoras.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="background-color: white;">Segundo Pitágoras, os números são a base da vida na terra.</span> A partir dessa primícia, surge o <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Pitagorismo </span>(ou Escola Pitagórica), sendo os pitagóricos seus seguidores, dos quais se destacam: Temistocleia, Filolau de Crotona, Arquitas de Tarento, Alcmeão e Melissa.</p><div class="ad-unit ad-unit--pt-br" data-google-query-id="CMaZlfi-6_cCFfwCuQYdiZoEpA" iat-insr="1" id="todamateria_inarticle_mrec1" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; min-height: 250px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 685px;"><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 20px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Na escola, ele ministrou aulas nas áreas matemática (aritmética e geometria), astronomia, música, filosofia, política, religião e moral.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Segundo o matemático grego, os números representavam a harmonia e a ordem, ou seja, eram considerados a essência de todas as coisas.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Essa teoria de Pitágoras surgiu da observação entre a harmonia dos acordes musicais.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Os pitagóricos acreditavam que essa concepção não era meramente matemática, mas também mística e espiritual.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Nesse sentido, eles desenvolveram uma concepção espiritual da existência humana, onde a alma é libertada do corpo após a morte.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Ou seja, eles acreditavam na reencarnação e no desenvolvimento das virtudes humanas enquanto a alma estava aprisionada ao corpo durante a vida.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Como resultado, os homens poderiam reencarnar numa forma de existência mais elevada, conforme as virtudes conquistadas durante a trajetória terrena.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Além do famoso "Teorema de Pitágoras", os pitagóricos descobriram os números figurados e os números perfeitos.</p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Na área da astronomia, Pitágoras também avançou com questões sobre a esfericidade.</p><h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; text-align: start; vertical-align: baseline;">Teorema de Pitágoras</h2><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Um dos mais importantes teoremas da geometria é o <a href="https://www.todamateria.com.br/teorema-de-pitagoras/" style="border-bottom: 0.08em solid rgba(0, 0, 0, 0.1); box-sizing: border-box; color: #337ab7; text-decoration-line: none;">Teorema de Pitágoras</a>. É representado pela fórmula (c²= a²+b²) sendo seu enunciado descrito da seguinte maneira:</p><blockquote style="box-sizing: border-box; margin: 0px; max-width: 685px; padding: 20px 30px; text-align: start;"><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #264156; font-family: "Droid Serif", Georgia, Times, serif; font-size: 1.25rem; line-height: 1.75; margin: 0px 0px 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">“No triângulo retângulo, composto por um ângulo interno de 90° (ângulo reto), a soma dos quadrados de seus catetos corresponde ao quadrado de sua hipotenusa.”</p></blockquote><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Esta fórmula vale para calcular o tamanho dos <a href="https://www.todamateria.com.br/triangulo-retangulo/" style="border-bottom: 0.08em solid rgba(0, 0, 0, 0.1); box-sizing: border-box; color: #337ab7; text-decoration-line: none;">triângulos retângulos</a> e tem um sem-número de aplicações especialmente nas construções em geral.</p><figure class="image" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; margin: 20px 0px 30px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;"><img alt="hipotenusa cateto" class="lazyload" data-src="https://static.todamateria.com.br/upload/te/or/teorema-cke.jpg?auto_optimize=low" height="354" loading="lazy" src="https://static.todamateria.com.br/upload/te/or/teorema-cke.jpg?auto_optimize=low" style="background: 0px 0px rgb(250, 250, 250); border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="630" /></figure><h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; text-align: start; vertical-align: baseline;">Frases de Pitágoras</h2><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; text-align: start; vertical-align: baseline;">Segue abaixo algumas frases de Pitágoras que resumem sua filosofia:</p><ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; text-align: start; vertical-align: baseline;"><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">O universo é uma harmonia de contrários</em>.”</li><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">A Evolução é a Lei da Vida, o Número é a Lei do Universo, a Unidade é a Lei de Deus</em>.”</li><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">A matemática é o alfabeto com o qual Deus escreveu o universo</em>.”</li><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">Observa o teu culto à família e cumpre teus deveres para com teu pai, tua mãe e todos os teus parentes. Educa as crianças e não precisarás castigar os homens</em>.”</li><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">O filósofo não é dono da verdade, nem detém todo conhecimento do mundo. Ele é apenas uma pessoa que é amiga do saber</em>.”</li><li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 3px 0px; vertical-align: baseline;">“<em style="box-sizing: border-box;">Os animais dividem conosco o privilégio de ter uma alma</em>.”</li></ul><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div style="text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/_Ff_si_E6Aw" width="320" youtube-src-id="_Ff_si_E6Aw"></iframe></div><br /><div style="text-align: left;"><br /></div></div><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;"><br /></p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;"><br /></p><p style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: "Open Sans", Geneva, sans-serif; font-size: 16px; line-height: 1.75; margin: 0px 0px 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">O filósofo faleceu em Metaponto, na região sul da Itália, em 490 a.C. com aproximadamente 80 anos.</p><h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;"><span style="font-family: arial;">Objetivo do projeto:</span></h2><div><span style="font-family: arial;">Os grupos deverão escolher um dos títulos abaixo para apresentar visualmente para a sala e uma demonstração prática: experiência, protótipo, maquete, teatro, etc</span></div><div><span style="font-family: arial;">Pitágoras e a música</span></div><div><span style="font-family: arial;">Pitágoras e a filosofia</span></div><div><span style="font-family: arial;">Pitágoras e a matemática</span></div><div><span style="font-family: arial;">Pitágoras e suas frases</span></div><div><span style="font-family: arial;">A escola Pitagórica </span></div><div><span style="font-family: arial;">Pitágoras e a religião</span></div><div><span style="font-family: arial;">Pitágoras e a teoria que tudo é número</span></div><div><span style="font-family: arial;">A vida de Pitágoras</span></div><div><span style="font-family: arial;">Numerologia de Pitágoras</span></div><div><span style="font-family: arial;">ou outras sugestões</span></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-73411776916735087382022-05-17T20:48:00.001-03:002022-05-17T21:38:40.501-03:00Novo Ensino Médio: Estruturas poligonais <p> </p><p>"Polígonos são figuras geométricas planas e fechadas formadas por segmentos de reta. Os polígonos dividem-se em dois grupos, os convexos e os não convexos. Quando um polígono possui todos os seus lados iguais e, consequentemente, todos os ângulos internos iguais, trata-se de um polígono regular. Os polígonos regulares podem ser nomeados de acordo com a quantidade de seus lados."</p><p><br /></p><p>Veja mais em: https://brasilescola.uol.com.br/matematica/poligonos.htm</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjBMZXufBgZLDq6Xn2RPZu1C4Ecq3dkBG8q4qqtW0soqrw4Jvjdgzv-_tWj1Y6CO8UAqUK6XhbPjAcT85CYCGSHKt4AhnWBAVBevFWbNDZYDUKTueO2Q60NGGpjv0bWqf52l3ctA8GXxGElD2pYssIWSOAhQZ1ZtT18pfjyGBMkgiizb0BQKP2ea8sG" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="493" data-original-width="401" height="380" src="https://blogger.googleusercontent.com/img/a/AVvXsEjBMZXufBgZLDq6Xn2RPZu1C4Ecq3dkBG8q4qqtW0soqrw4Jvjdgzv-_tWj1Y6CO8UAqUK6XhbPjAcT85CYCGSHKt4AhnWBAVBevFWbNDZYDUKTueO2Q60NGGpjv0bWqf52l3ctA8GXxGElD2pYssIWSOAhQZ1ZtT18pfjyGBMkgiizb0BQKP2ea8sG=w308-h380" width="308" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><div class="separator" style="clear: both; text-align: left;">"Elementos de um polígono</div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: left;">Polígono é a figura plana e fechada formada pela união de um número finito de segmentos de retas. Assim, considere um polígono qualquer:</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgWrcgKJGaryxTvk2h6wlKoMXjMEomk_XQlD85sz_TU2pKnu5vz7O6fv18YwPmtWAZsu8m02hxk1kY16J7PUYK3-c-MZIemgGfj_vu1PM3sXFxzujdw9rRn15voAE6HtuEixZSRrYhYbWiyX1N0wpvWmJ_QX3UfCs4z7X2ZWodG2xJBuzCSi1uYAhl5" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="260" data-original-width="548" height="230" src="https://blogger.googleusercontent.com/img/a/AVvXsEgWrcgKJGaryxTvk2h6wlKoMXjMEomk_XQlD85sz_TU2pKnu5vz7O6fv18YwPmtWAZsu8m02hxk1kY16J7PUYK3-c-MZIemgGfj_vu1PM3sXFxzujdw9rRn15voAE6HtuEixZSRrYhYbWiyX1N0wpvWmJ_QX3UfCs4z7X2ZWodG2xJBuzCSi1uYAhl5=w483-h230" width="483" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both;">"Exemplo de como nomear polígonos irregulares"</div><div class="separator" style="clear: both;">Determine o nome do polígono a seguir:</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgRCjh0Sn76_Y8_A48vJoGxNBan8_QY9epZQUXiE7EIY_CqtZy51kuzpuE4Wwae0lRp861bDk_3tT63In21ihI0uCFps3KUp6zSxk-AkGdj_wjyRee76H0TvTjkohDU4cADGyjAOiJ3KI05BfQ64SWf5xk-IlJn34-C49uMBrLypmC3sptLb9-oy3uS" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="440" data-original-width="445" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEgRCjh0Sn76_Y8_A48vJoGxNBan8_QY9epZQUXiE7EIY_CqtZy51kuzpuE4Wwae0lRp861bDk_3tT63In21ihI0uCFps3KUp6zSxk-AkGdj_wjyRee76H0TvTjkohDU4cADGyjAOiJ3KI05BfQ64SWf5xk-IlJn34-C49uMBrLypmC3sptLb9-oy3uS" width="243" /></a></div><br /><br /></div><div class="separator" style="clear: both;">A quantidade de lados do polígono é sete, logo, o polígono é um heptágono.</div><div class="separator" style="clear: both;">Classificação dos polígonos</div><div class="separator" style="clear: both;">Os polígonos são classificados pela medida de seus ângulos e lados. Um polígono é dito equilátero quando possui lados congruentes, ou seja, todos lados iguais; e será dito equiângulo quando possuir ângulos congruentes, isto é, todos ângulos iguais.</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Caso um polígono seja equilátero e equiângulo, então ele será um polígono regular.</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Em todo polígono regular, o centro tem a mesma distância dos lados, ou seja, é equidistante dos lados. O centro do polígono é também o centro da circunferência inscrita no polígono, ou seja, a circunferência que está “dentro” da circunferência.</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">"</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Veja mais em: https://brasilescola.uol.com.br/matematica/poligonos.htm</div></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Os pontos A, B, C, D, E, F, G e H são os vértices do polígono e são formados pelo encontros dos segmentos AB, BC, CD, DE, EF, FG, GH e HA, chamados lados do polígono.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Os segmentos AF, AE, AD e BG são as diagonais do polígono. (Perceba que esses são alguns exemplos de diagonais, no polígono anterior temos mais dessas.) Diagonais são segmentos de retas que “ligam” os vértices do polígono."</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Veja mais em: https://brasilescola.uol.com.br/matematica/poligonos.htm</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">Objetivo do projeto: Os alunos em grupo deverão escolher alguma peça de usuário ou decorativa para utilizar as estruturas poligonais. Veja alguns exemplos:</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi9yDvDDy8peBpysKgW90geVMMt2e-Y_mOY2I1GtnnJsrHR8bDvuAcyv9FbU0AOj6-rFxFQlrNmsWgV_kfNR7cMCD9qJubzvruQ3ABnU1DjD8VH527LvnGHi3u1kz8j0avaXEg3_CNLnZQwbJe5Div6s-ss6sCMzi1Kq6AhD1MGkWdddQ3TUQdMMX8F" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="350" data-original-width="350" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEi9yDvDDy8peBpysKgW90geVMMt2e-Y_mOY2I1GtnnJsrHR8bDvuAcyv9FbU0AOj6-rFxFQlrNmsWgV_kfNR7cMCD9qJubzvruQ3ABnU1DjD8VH527LvnGHi3u1kz8j0avaXEg3_CNLnZQwbJe5Div6s-ss6sCMzi1Kq6AhD1MGkWdddQ3TUQdMMX8F" width="240" /></a></div><br />vela decorativa</div><div class="separator" style="clear: both; text-align: left;"><br /></div></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh7-vFO-4dscD6kWaSdg6cdSkUxZPlf5b76Bw-vhhO760KevTi7_XYR38OvlwnnDbseBkcAoi2bj3Lsd6qOLuuYAzsL2JMB99BvB2QBATzmxNvpZBjpISrbfR1b1d5RirhMKtF1fkidqXj_VeffkMuVGxoD-QlSXAgvBa--RZLqm1WpVFNujc2jml7T" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1500" data-original-width="1500" height="250" src="https://blogger.googleusercontent.com/img/a/AVvXsEh7-vFO-4dscD6kWaSdg6cdSkUxZPlf5b76Bw-vhhO760KevTi7_XYR38OvlwnnDbseBkcAoi2bj3Lsd6qOLuuYAzsL2JMB99BvB2QBATzmxNvpZBjpISrbfR1b1d5RirhMKtF1fkidqXj_VeffkMuVGxoD-QlSXAgvBa--RZLqm1WpVFNujc2jml7T=w250-h250" width="250" /></a></div><br />quadros<p></p><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiA2Cvb7bljCx9D9OyNoHAP_1xV74Ycdsa1MdesCePWGot1031Cy_7tRuEOLVqttNtFofy0_IPeUp73nVDkFYYHa8tv7OU9Wr5Xm07txDw7Q4KLlh_NuSIjTwM0pYBtbQUmdCD-MkyJsznJyWu62gG5vprCs5FLoIRZJmmHrtkwfJZEnvJJZxjB33h7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="431" data-original-width="600" height="230" src="https://blogger.googleusercontent.com/img/a/AVvXsEiA2Cvb7bljCx9D9OyNoHAP_1xV74Ycdsa1MdesCePWGot1031Cy_7tRuEOLVqttNtFofy0_IPeUp73nVDkFYYHa8tv7OU9Wr5Xm07txDw7Q4KLlh_NuSIjTwM0pYBtbQUmdCD-MkyJsznJyWu62gG5vprCs5FLoIRZJmmHrtkwfJZEnvJJZxjB33h7" width="320" /></a></div><div><br /></div></div><div><h1 style="background-color: white; box-sizing: border-box; color: #6c757d; font-family: Roboto, Arial, sans-serif; font-size: 1.5rem; font-weight: 400; line-height: 1.2; margin-bottom: 0.5rem; margin-top: 0px;">Estrutura, Rede, Social</h1></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg9eR84bQq3eCmS1-QA_9dp3yW7jFObY3bAmZVUfypCEukwRCxwXjDbMgaf3ZQHizRggq-ah5XOiFrKwYjzEElSFv9XVQFzXbvLkoEdngpqyYUFvKmywf41OoBM2PUPD34OXmDIdG5W1TFTHiA2wzKMiIldAuCIWbRTbe0t-MGHYoAvfcPwFLb_cz9h" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="579" data-original-width="559" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEg9eR84bQq3eCmS1-QA_9dp3yW7jFObY3bAmZVUfypCEukwRCxwXjDbMgaf3ZQHizRggq-ah5XOiFrKwYjzEElSFv9XVQFzXbvLkoEdngpqyYUFvKmywf41OoBM2PUPD34OXmDIdG5W1TFTHiA2wzKMiIldAuCIWbRTbe0t-MGHYoAvfcPwFLb_cz9h" width="232" /></a></div><br />Confecção de bolsas</div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjWOXhqYGl-dxwPbusdQQaM18TtRFTc6qAeQ20oJYfNLKguEFKNgAq2YE8yVA8G_7h9aPk-MiG6DNGFYhhY3-zKjj9aZKXdXWwGe7wPCXMqCCpT_x3ptMsokB68rlD08rkgKP-ZMS3FS4G-0Xd5qQiQoEYf2iiUe6YAx7nBNW7u0mSxy1LmmN_ep13K" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="642" data-original-width="800" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjWOXhqYGl-dxwPbusdQQaM18TtRFTc6qAeQ20oJYfNLKguEFKNgAq2YE8yVA8G_7h9aPk-MiG6DNGFYhhY3-zKjj9aZKXdXWwGe7wPCXMqCCpT_x3ptMsokB68rlD08rkgKP-ZMS3FS4G-0Xd5qQiQoEYf2iiUe6YAx7nBNW7u0mSxy1LmmN_ep13K" width="299" /></a></div><br />Customização de roupas</div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhkZG4pH9cEJUDkJMyoRi1Uck4JDX5WSjb16BmKTY3aJvKr1a2eso6BRH_UlJqVG9hI_915larHX0Em_rD4ZF1m99AFwLVvTBBgzuJ1RVDQM3FuArQDW8OEHRRVp504f4ujhUjZWCCzXPnNXugiLLxYqdTcT69TObrIJsHEkjFMoPB4ElWMixYDGm23" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1600" data-original-width="1484" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhkZG4pH9cEJUDkJMyoRi1Uck4JDX5WSjb16BmKTY3aJvKr1a2eso6BRH_UlJqVG9hI_915larHX0Em_rD4ZF1m99AFwLVvTBBgzuJ1RVDQM3FuArQDW8OEHRRVp504f4ujhUjZWCCzXPnNXugiLLxYqdTcT69TObrIJsHEkjFMoPB4ElWMixYDGm23" width="223" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjNrKxM8PWkK9TPNLwpVKys-AHqgM6Tpk_ybNN584sVnqOzM33-YohPcl8EBXQzZr4qR0Bn5a9DewIHVNo6LxtrzZdLr00J40zGdvWxBbWhISJ1S_98pujT7imBKgw39-1Fio8oVhJUSWJykfIRSDi5Cw03jyCnk7FIQcZjk3WJAOxSe-xq3V41TPlk" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="799" data-original-width="770" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjNrKxM8PWkK9TPNLwpVKys-AHqgM6Tpk_ybNN584sVnqOzM33-YohPcl8EBXQzZr4qR0Bn5a9DewIHVNo6LxtrzZdLr00J40zGdvWxBbWhISJ1S_98pujT7imBKgw39-1Fio8oVhJUSWJykfIRSDi5Cw03jyCnk7FIQcZjk3WJAOxSe-xq3V41TPlk" width="231" /></a></div><br /><br /></div>Entre outros...<br /><br /></div><div><br /></div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-83126474868944871342022-03-28T13:55:00.005-03:002022-03-28T13:55:35.760-03:00Novo Ensino MÉdio: Vírus poliédricos " A geometria em vírus e bactérias"<p> </p><h2 class="entry-title" style="background-color: white; border-bottom: 1px solid rgb(238, 238, 238); color: #222222; font-family: "Hoefler Text", Cambria, Georgia, "Times New Roman", Times, serif; font-size: 1.7em; font-weight: 400; margin: 0px 0px 1em; overflow-wrap: break-word; padding: 0px 0px 4px;">vírus poliédricos</h2><p class="date" style="background-color: white; color: #aaaaaa; font-family: "Hoefler Text", Cambria, Georgia, "Times New Roman", Times, serif; font-size: 0.8em; font-style: italic; margin: -1.7em 0px 2em; overflow-wrap: break-word; padding: 0px;"><br /></p><div class="entry" style="background-color: white; color: #222222; font-family: "Lucida Grande", "Lucida Sans Unicode", Verdana, sans-serif; font-size: 0.75em; line-height: 1.9em; margin: 0px 0px 4em; overflow: hidden;"><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Outro dia o Fábio Lopes, professor de matemática lá na escola, me perguntou sobre os vírus poliédricos. Ele iria começar a abordar os <a href="http://pt.wikipedia.org/wiki/Poliedro" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;">poliedros</a> com os alunos do segundo ano do ensino médio e pensou em usar algumas imagens de vírus para isso. Achei a iniciativa pra lá de bacana – adoro esses intercâmbios entre as disciplinas! – e fiz uma pesquisinha rápida que aproveito para compartilhar aqui.</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Os <a href="http://pt.wikipedia.org/wiki/V%C3%ADrus" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;" target="_blank">vírus</a> normalmente são classificados de acordo com o tipo de material genético que carregam: vírus de DNA, vírus de RNA e retrovírus. Mas t<a href="http://www.cca.ufsc.br/labfitop/2008-2/untitled/materiais%20que%20est__o%20no%20site%20do%20departamento/v%2B%A1rus_ufrpe.pdf" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;" target="_blank">ambém são agrupados de acordo com sua morfologia</a> e é aí que entram os vírus poliédricos. Esses podem ser de três tipos, como ilustrado abaixo:</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><a href="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;"><img alt="" class="aligncenter size-full wp-image-5662" data-attachment-id="5662" data-comments-opened="1" data-image-caption="" data-image-description="" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":""}" data-image-title="virus_poledricos" data-large-file="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=480" data-medium-file="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=300" data-orig-file="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg" data-orig-size="914,330" data-permalink="https://ciencianamidia.wordpress.com/2011/06/17/virus-poliedricos/virus_poledricos/" height="173" loading="lazy" sizes="(max-width: 480px) 100vw, 480px" src="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=480&h=173" srcset="https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=480&h=173 480w, https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=150&h=54 150w, https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=300&h=108 300w, https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg?w=768&h=277 768w, https://ciencianamidia.files.wordpress.com/2011/06/virus_poledricos.jpg 914w" style="border: none; clear: both; display: block; height: auto; margin: 1.5em auto 0px; max-width: 100%;" title="virus_poledricos" width="480" /></a>Dentre os icosaédricos, podemos citar o poliovírus (vírus da poliomielite) e o adenovírus (vírus que causa diversas infecções do trato respiratório e conjuntivite em seres humanos e outros animais vertebrados).</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Dentre os icosaédricos, podemos citar o poliovírus (vírus da poliomielite) e o adenovírus (vírus que causa diversas infecções do trato respiratório e conjuntivite em seres humanos e outros animais vertebrados).</p><div class="separator" style="clear: both; text-align: center;"><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><a href="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;"><img alt="" class="aligncenter size-full wp-image-5669" data-attachment-id="5669" data-comments-opened="1" data-image-caption="" data-image-description="" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":""}" data-image-title="poliovirus" data-large-file="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=480" data-medium-file="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=300" data-orig-file="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg" data-orig-size="807,345" data-permalink="https://ciencianamidia.wordpress.com/2011/06/17/virus-poliedricos/poliovirus/" height="205" loading="lazy" sizes="(max-width: 480px) 100vw, 480px" src="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=480&h=205" srcset="https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=480&h=205 480w, https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=150&h=64 150w, https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=300&h=128 300w, https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg?w=768&h=328 768w, https://ciencianamidia.files.wordpress.com/2011/06/poliovirus.jpg 807w" style="border: none; clear: both; display: block; height: auto; margin: 1.5em auto 0px; max-width: 100%;" title="poliovirus" width="480" /></a></p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><a href="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;"><img alt="" class="aligncenter size-full wp-image-5673" data-attachment-id="5673" data-comments-opened="1" data-image-caption="" data-image-description="" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":""}" data-image-title="adenovirus" data-large-file="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=480" data-medium-file="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=300" data-orig-file="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg" data-orig-size="629,363" data-permalink="https://ciencianamidia.wordpress.com/2011/06/17/virus-poliedricos/adenovirus-2/" height="277" loading="lazy" sizes="(max-width: 480px) 100vw, 480px" src="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=480&h=277" srcset="https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=480&h=277 480w, https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=150&h=87 150w, https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg?w=300&h=173 300w, https://ciencianamidia.files.wordpress.com/2011/06/adenovirus1.jpg 629w" style="border: none; clear: both; display: block; height: auto; margin: 1.5em auto 0px; max-width: 100%;" title="adenovirus" width="480" /></a></p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Alguns vírus são envelopados, ou seja, contém uma membrana que os envolve (membrana essa similar à membrana das células que invadem, o que facilita a invasão porque as células não reconhecem esse vírus como um corpo estranho). Há, então, alguns vírus poliédricos envelopados, como o vírus da herpes.</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><a href="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;"><img alt="" class="aligncenter size-full wp-image-5677" data-attachment-id="5677" data-comments-opened="1" data-image-caption="" data-image-description="" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":""}" data-image-title="herpesvirus" data-large-file="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=480" data-medium-file="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=300" data-orig-file="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg" data-orig-size="713,315" data-permalink="https://ciencianamidia.wordpress.com/2011/06/17/virus-poliedricos/herpesvirus/" height="212" loading="lazy" sizes="(max-width: 480px) 100vw, 480px" src="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=480&h=212" srcset="https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=480&h=212 480w, https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=150&h=66 150w, https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg?w=300&h=133 300w, https://ciencianamidia.files.wordpress.com/2011/06/herpesvirus.jpg 713w" style="border: none; clear: both; display: block; height: auto; margin: 1.5em auto 0px; max-width: 100%;" title="herpesvirus" width="480" /></a></p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">E há ainda alguns vírus chamados de complexos, já que sua estrutura é uma combinação de duas ou mais das possibilidades anatômicas que caracterizam os vírus. O bacteriófago, vírus que infecta bactérias, é um exemplo de vírus complexo em que parte de sua estrutura é um poliedro. E, na minha opinião, é o mais bonitão do time:</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><a href="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;"><img alt="" class="aligncenter size-full wp-image-5679" data-attachment-id="5679" data-comments-opened="1" data-image-caption="" data-image-description="" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":""}" data-image-title="bacteriofago" data-large-file="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=480" data-medium-file="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=300" data-orig-file="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg" data-orig-size="797,304" data-permalink="https://ciencianamidia.wordpress.com/2011/06/17/virus-poliedricos/bacteriofago/" height="183" loading="lazy" sizes="(max-width: 480px) 100vw, 480px" src="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=480&h=183" srcset="https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=480&h=183 480w, https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=150&h=57 150w, https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=300&h=114 300w, https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg?w=768&h=293 768w, https://ciencianamidia.files.wordpress.com/2011/06/bacteriofago.jpg 797w" style="border: none; clear: both; display: block; height: auto; margin: 1.5em auto 0px; max-width: 100%;" title="bacteriofago" width="480" /></a></p></div><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Mais sobre <a href="http://www.discoverybrasil.com/virus/interativo/" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;" target="_blank">vírus nesse material interativo</a> da Discovery Channel. E especificamente sobre os bacteriófagos, há <a href="http://www.revistapesquisa.fapesp.br/?art=6243&bd=2&pg=1&lg=" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;" target="_blank">uma animação muito bacana </a>elaborada pelo Museu de Microbiologia do Instituto Butantan e pelo Laboratório de Malacologia do Departamento de Zoologia do Instituto de Biociências da USP, que explica a infecção de bactérias por vírus bacteriófagos.</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">E sobre os poliedros “não virais”, o Fábio indicou <a href="http://www.uff.br/cdme/platonicos/platonicos-html/solidos-platonicos-br.html" style="border-bottom: 1px solid rgb(238, 238, 238); color: black; font-weight: 700; outline: none; text-decoration-line: none;" target="_blank">um ótimo site</a> da Universidade Federal Fluminense com ótimas definições e um pouco de história sobre os sólidos platônicos, além da possibilidade de girar cada um dos poliedros, facilitando muito o entendimento das diferentes faces da figura pros mais limitados em visão espacial como eu. </p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;">Objetivo: Fazer uma apresentação para a sala sobre a relação do vírus ou bactéria do seu tema e também trazer o seu protótipo .</p><p style="margin: 0.7em 0px 2em; overflow-wrap: break-word; text-align: justify;"><br /></p></div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-17533410111309772372022-03-04T15:29:00.000-03:002022-03-04T15:29:30.593-03:00Jogos matemáticos<p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEixWjusOJc537PzN33B4vOf1J8NUNclBa_dRcBmYOyPa4WulIorNqZgE398w_Ke4lEflty_d4IB0R-yzjSiJVKdLLZg9nWcvQRuCklc00VXetnogvlPLjKD3uZudlIvZVoeg3mifFkcTYKCbeUar6zPwD7ZM8-Gj4U3X_c3GaJ62KKWAA_LfPTP4NTR" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEixWjusOJc537PzN33B4vOf1J8NUNclBa_dRcBmYOyPa4WulIorNqZgE398w_Ke4lEflty_d4IB0R-yzjSiJVKdLLZg9nWcvQRuCklc00VXetnogvlPLjKD3uZudlIvZVoeg3mifFkcTYKCbeUar6zPwD7ZM8-Gj4U3X_c3GaJ62KKWAA_LfPTP4NTR" width="320" /></a></div><br /><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjqCYP5jEoyqI8wopqgIW00xihAUynkgEjVNZiuzxNT-ab_PxMBShjqJPWKvErYy3Zt-WZiz1xxZKaiL5o1yhsigBRTr0TNI4ce5t7rS91iZXDXjnzsCJpoi0lxoCjDVAkZ1vC8b0tB4RY0-nrpGCJkZteZRDwyvWquIioMoMPBcC7i912V7kkVx9p0" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjqCYP5jEoyqI8wopqgIW00xihAUynkgEjVNZiuzxNT-ab_PxMBShjqJPWKvErYy3Zt-WZiz1xxZKaiL5o1yhsigBRTr0TNI4ce5t7rS91iZXDXjnzsCJpoi0lxoCjDVAkZ1vC8b0tB4RY0-nrpGCJkZteZRDwyvWquIioMoMPBcC7i912V7kkVx9p0" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgZ9HxeOfOSm7jUNwhBqqm8Cj_p3imZEuviXy5lPrDPtJoMxLhVErPVJuQsbrSXzHLQeIatCufPmg8jQ9mgxz4S_4zvGNsPcyxfiVd0rlc-OCtkOfCSI0wn5CP_AftXxvBKvMO3zX0moUzEq7P0pwPwSTaSZ9E47cIdhyojzyAeaN-VYJA6_hE4KgV7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgZ9HxeOfOSm7jUNwhBqqm8Cj_p3imZEuviXy5lPrDPtJoMxLhVErPVJuQsbrSXzHLQeIatCufPmg8jQ9mgxz4S_4zvGNsPcyxfiVd0rlc-OCtkOfCSI0wn5CP_AftXxvBKvMO3zX0moUzEq7P0pwPwSTaSZ9E47cIdhyojzyAeaN-VYJA6_hE4KgV7" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhtD6ccdFgC0QF45HdrAoEXQSsERscaNl1SKOhT7n1Bsn5YvOHin0geUZZgFSpreNdks14WxPLV0g50b-MwEJjia1r1Lv-PlLeT71n8cSuzF8I5_SsFgcW5R88TYuGGfPlYFGIBs4mL60CjbgHK5w-wIedM1WM0XRvpRwIkuzDr-W1BWaW-e1-FHNrg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhtD6ccdFgC0QF45HdrAoEXQSsERscaNl1SKOhT7n1Bsn5YvOHin0geUZZgFSpreNdks14WxPLV0g50b-MwEJjia1r1Lv-PlLeT71n8cSuzF8I5_SsFgcW5R88TYuGGfPlYFGIBs4mL60CjbgHK5w-wIedM1WM0XRvpRwIkuzDr-W1BWaW-e1-FHNrg" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjYQMHUe2fi_vaqZSUxcInE6mnrDY780cOh_tus8wuk52_s-GgQGK2yqNyHU7lcnhUMdyKqGo2Bvmwbs2N-yk8epzBuLdU2RXR_Twyw54Qg3LB6Mhy__nwHxqk4aR4qrDjwtQI__6ZRl-nCjiaVD3PJ1KEju-YmeNF39j0tfFAiLGwAK6ffecBG5-IG" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjYQMHUe2fi_vaqZSUxcInE6mnrDY780cOh_tus8wuk52_s-GgQGK2yqNyHU7lcnhUMdyKqGo2Bvmwbs2N-yk8epzBuLdU2RXR_Twyw54Qg3LB6Mhy__nwHxqk4aR4qrDjwtQI__6ZRl-nCjiaVD3PJ1KEju-YmeNF39j0tfFAiLGwAK6ffecBG5-IG" width="320" /></a></div><br /><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgTsM2d-3BfeyGiMK3nrniNK-V2HENP1UQyU6UYL7G2xqCB7gb7Krgfr8jbB8bjkZIVX8ObpIJzKp3rGo-Fijb-AzOrFJS0kqVEhfRwRnSPvN3oYQmHpulb6soA5RuRnb8OujtbN1YcVq0GoevHoSveWGfW5Bz7-b9_uPw62qwENvV2ilF19h3yiNgg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgTsM2d-3BfeyGiMK3nrniNK-V2HENP1UQyU6UYL7G2xqCB7gb7Krgfr8jbB8bjkZIVX8ObpIJzKp3rGo-Fijb-AzOrFJS0kqVEhfRwRnSPvN3oYQmHpulb6soA5RuRnb8OujtbN1YcVq0GoevHoSveWGfW5Bz7-b9_uPw62qwENvV2ilF19h3yiNgg" width="320" /></a></div><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhXGgF8Wx90DwXYTEMmyu2U31uPj4EMzooLbERSmR0UJYRB6OWhXy4EPZzMxiVYCn2IdYyaecKWV7oRYYUPP9cSsDgUFx8UMt-CKowLQwdqdQNtJu-fpG14wtAhFq6T5K0xwAy775ja2USc251fPl48F1Y85LEELakUiz3CozRnX2XThVVhcNJO45rz" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhXGgF8Wx90DwXYTEMmyu2U31uPj4EMzooLbERSmR0UJYRB6OWhXy4EPZzMxiVYCn2IdYyaecKWV7oRYYUPP9cSsDgUFx8UMt-CKowLQwdqdQNtJu-fpG14wtAhFq6T5K0xwAy775ja2USc251fPl48F1Y85LEELakUiz3CozRnX2XThVVhcNJO45rz" width="320" /></a></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-89699686922715338052022-03-04T12:07:00.004-03:002022-03-04T12:08:33.663-03:00Novo Ensino médio : Geometria Dinâmica nas profissões<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjbKDJc98hBpU_tDvibMfgL5mo_Lge4-OX2d8bbcLVGCxFQcBEVpzvN2t5IBN5_pl_gl55xJpo3R9oSl3Aqb8Xh1chWnH8Xjllw3Ila20uuxDnxMd_O428T79Ydph6oqtMj_r9qxaLDRZziPtp3LoF-2NZQoNVvASxm7swiWOrt3Uw2U6pnJ46gDMmI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="241" src="https://blogger.googleusercontent.com/img/a/AVvXsEjbKDJc98hBpU_tDvibMfgL5mo_Lge4-OX2d8bbcLVGCxFQcBEVpzvN2t5IBN5_pl_gl55xJpo3R9oSl3Aqb8Xh1chWnH8Xjllw3Ila20uuxDnxMd_O428T79Ydph6oqtMj_r9qxaLDRZziPtp3LoF-2NZQoNVvASxm7swiWOrt3Uw2U6pnJ46gDMmI=w429-h241" width="429" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgrI3Tsqpxl_BQeZmqY3ZpEhtbDdfOpHpjup8lPqAO0hujP9BaT0YMJH3-RjCXAgNb_n61OmzIizogWvpnod4AaNJ6FauwfifAQynutBLmQQCAFAlHY4Wk69wAJlKzg0QE91pNi_A041dY_hCnwdPreb-16by3lnJZhUdYiZhATgFdMOglARsGoeKUV" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="238" src="https://blogger.googleusercontent.com/img/a/AVvXsEgrI3Tsqpxl_BQeZmqY3ZpEhtbDdfOpHpjup8lPqAO0hujP9BaT0YMJH3-RjCXAgNb_n61OmzIizogWvpnod4AaNJ6FauwfifAQynutBLmQQCAFAlHY4Wk69wAJlKzg0QE91pNi_A041dY_hCnwdPreb-16by3lnJZhUdYiZhATgFdMOglARsGoeKUV=w417-h238" width="417" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhz43evArgLh4Ph2AvQZ8lpZDKhyWQyMq3l1mXVns5LtLiVqTFo0DdSYAAuIy76UN7NPASq970VyHArg6MyhqZv0ADwEEqmr3c0GwOvQ5Znzl2_X0q4Z-4Uhiahc7ecv533IPZlscfrWxPJd1jLMH0ZykiB6gIVzpt_2nYETZfQmDpNrXt_XdlaEvYk" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="252" src="https://blogger.googleusercontent.com/img/a/AVvXsEhz43evArgLh4Ph2AvQZ8lpZDKhyWQyMq3l1mXVns5LtLiVqTFo0DdSYAAuIy76UN7NPASq970VyHArg6MyhqZv0ADwEEqmr3c0GwOvQ5Znzl2_X0q4Z-4Uhiahc7ecv533IPZlscfrWxPJd1jLMH0ZykiB6gIVzpt_2nYETZfQmDpNrXt_XdlaEvYk=w389-h252" width="389" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjU6LUBdy9KDWGKMKZS_KDgqN2aNwb2xdyjG6e3oFGV-HznSQcHK1CJDjNO2OVB28A15QBQxu0qKa0FVhsB90paOGJdc2c3WXRvWqlxDDF8gK_Fq8zweij3onRFJeiYIvnnegd_iI9IviyDSwP7VCvMm0XcPtSKHSj2JHUah8hsVCMTqEq3fzBGHg7z" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="900" data-original-width="1600" height="215" src="https://blogger.googleusercontent.com/img/a/AVvXsEjU6LUBdy9KDWGKMKZS_KDgqN2aNwb2xdyjG6e3oFGV-HznSQcHK1CJDjNO2OVB28A15QBQxu0qKa0FVhsB90paOGJdc2c3WXRvWqlxDDF8gK_Fq8zweij3onRFJeiYIvnnegd_iI9IviyDSwP7VCvMm0XcPtSKHSj2JHUah8hsVCMTqEq3fzBGHg7z=w380-h215" width="380" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="291" src="https://www.youtube.com/embed/jFsuvk8_yqU" width="362" youtube-src-id="jFsuvk8_yqU"></iframe></div><br /><br /><br /></div><br /><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-51574575437907183182022-02-21T14:37:00.005-03:002022-02-21T15:49:36.832-03:00Novo Ensino médio: Bissetriz de um ângulo usada nas profissões<p> </p><p><span style="font-family: arial;">A bissetriz de um ângulo é a semirreta que contém o vértice do ângulo e o divide em</span></p><p><span style="font-family: arial;">dois ângulos de mesma medida, ou seja, dois ângulos congruentes.</span></p><p><span style="font-family: arial;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: arial;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEickIiME8-PMSjRXB0E6yFOTExWMCkeRoZ2TtWksB_6TOfu6KnD2cA2NUvBzoEQDIALCEodfb-JFjF81mDo0eA9z9x2xXn2U9KVauDHOSZ_Z4UpF2qe5c9pQUew95sNCFoaLJ2IC_1I_EmPvKmTkVY_k1iX4cSV-J7oOhuvlKB7KHX5uJk63H8kgiym=s1585" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="792" data-original-width="1585" height="243" src="https://blogger.googleusercontent.com/img/a/AVvXsEickIiME8-PMSjRXB0E6yFOTExWMCkeRoZ2TtWksB_6TOfu6KnD2cA2NUvBzoEQDIALCEodfb-JFjF81mDo0eA9z9x2xXn2U9KVauDHOSZ_Z4UpF2qe5c9pQUew95sNCFoaLJ2IC_1I_EmPvKmTkVY_k1iX4cSV-J7oOhuvlKB7KHX5uJk63H8kgiym=w486-h243" width="486" /></a></span></div><span style="font-family: arial;"><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></span><p></p><p><span style="font-family: arial; font-size: medium;"><span face="arial, sans-serif" style="background-color: white; color: #202124;">Conhecemos como </span><b style="background-color: white; color: #202124;">bissetriz</b><span face="arial, sans-serif" style="background-color: white; color: #202124;"> a semirreta interna de um ângulo traçada a partir de seu vértice, dividindo-o em dois ângulos congruentes. A </span><b style="background-color: white; color: #202124;">bissetriz</b><span face="arial, sans-serif" style="background-color: white; color: #202124;"> é a semirreta que divide um ângulo em dois ângulos congruentes. ... No plano cartesiano, é possível traçar a </span><b style="background-color: white; color: #202124;">bissetriz</b><span face="arial, sans-serif" style="background-color: white; color: #202124;"> nos quadrantes ímpares e nos pares.</span></span></p><p><span style="background-color: white;"></span></p><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEji5QcS_hn8pZBRRhIP8khGS3UnQvav_fFxXmVpiW-5GewyKaaDHtjX7o-SBmC7wvXp_J-D0Ni4tGt9orSpCkylNrCqT7VoaP_oJMHMPTFmyxcACii-RMxeyicgEVlhl86eKmfu7Iub7BagetY43cwpJ_Q0P6X-K8tZd89WP2KnESH-fUO8-Z0MWkgw=s213" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="200" data-original-width="213" height="297" src="https://blogger.googleusercontent.com/img/a/AVvXsEji5QcS_hn8pZBRRhIP8khGS3UnQvav_fFxXmVpiW-5GewyKaaDHtjX7o-SBmC7wvXp_J-D0Ni4tGt9orSpCkylNrCqT7VoaP_oJMHMPTFmyxcACii-RMxeyicgEVlhl86eKmfu7Iub7BagetY43cwpJ_Q0P6X-K8tZd89WP2KnESH-fUO8-Z0MWkgw=w316-h297" width="316" /></a></div><div style="text-align: left;"><span face="sans-serif" style="background-color: #fcfcfc; color: #333333; font-size: 17.6px; letter-spacing: 0.176px;">Geometria é o estudo de formas e suas propriedades matemáticas. Desde o tempo em que os egípcios antigos construíam as pirâmides, engenheiros e artistas têm utilizado com sucesso os princípios da geometria para melhorar o projeto e a função de construções, trabalhos artísticos e objetos do cotidiano. Muitas profissões utilizam geometria para medir, organizar e investigar as formas das coisas em seu trabalho diário.</span></div><div style="text-align: left;"><span face="sans-serif" style="background-color: #fcfcfc; color: #333333; font-size: 17.6px; letter-spacing: 0.176px;"><br /></span></div><div style="text-align: left;"><span face="sans-serif" style="background-color: #fcfcfc; color: #333333; font-size: 17.6px; letter-spacing: 0.176px;">Medicina</span></div><div style="text-align: left;"><span face="sans-serif" style="background-color: #fcfcfc; color: #333333; font-size: 17.6px; letter-spacing: 0.176px;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjmvJyPonCX53Le7qT3QWUkbAn8M6A1Kb0zuF1v51Lrkeyfts1vml70SX_bok1AFqUwSfhbemN7owRWOA4-wK7rhFgsAADl8en4g0M2EUk8FEhi5Bh6bQ4mGrnYY1VvQtLVCw2ZjKA1Rw_yqKoNAfyOQBHMT_ZZbqloUG1CgVxOs2uny4hEn-aQ5_jI" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="380" data-original-width="545" height="277" src="https://blogger.googleusercontent.com/img/a/AVvXsEjmvJyPonCX53Le7qT3QWUkbAn8M6A1Kb0zuF1v51Lrkeyfts1vml70SX_bok1AFqUwSfhbemN7owRWOA4-wK7rhFgsAADl8en4g0M2EUk8FEhi5Bh6bQ4mGrnYY1VvQtLVCw2ZjKA1Rw_yqKoNAfyOQBHMT_ZZbqloUG1CgVxOs2uny4hEn-aQ5_jI=w397-h277" width="397" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhMEZxTqDFNiEROFRGsfqZ9EnP1KPQYHxdPTEnE_dhMBtN7vMprlmPegt0cTBW58b4lNXc6wnuzTzn9nquLtaCQALCszPlTdblBw_N6e63VT7BLXXuGwAuPWQFIJV_fYS0QaJhIZsny2G2NXWpFZVmQvlkkQIPdnWRkGXwkYqOJKPc7ExwAYG3W75nf=s443" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="390" data-original-width="443" height="311" src="https://blogger.googleusercontent.com/img/a/AVvXsEhMEZxTqDFNiEROFRGsfqZ9EnP1KPQYHxdPTEnE_dhMBtN7vMprlmPegt0cTBW58b4lNXc6wnuzTzn9nquLtaCQALCszPlTdblBw_N6e63VT7BLXXuGwAuPWQFIJV_fYS0QaJhIZsny2G2NXWpFZVmQvlkkQIPdnWRkGXwkYqOJKPc7ExwAYG3W75nf=w353-h311" width="353" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /></span></div><div style="text-align: left;"><br /></div></div><div class="separator" style="clear: both; color: #202124; font-size: 16px; text-align: left;"><h2 style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-size: 1.5rem; font-weight: 500; letter-spacing: 0.005em; line-height: normal; margin: 0px 0px 1rem; padding: 0px;"><span style="font-family: arial;">Designer gráfico</span></h2><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;"><span style="font-family: arial;">Um designer gráfico estuda como formas geométricas básicas combinam-se em layouts visuais artísticos em duas ou três dimensões. Um artista gráfico utiliza conceitos de geometria como perspectiva e proporções áureas para criar os projetos mais esteticamente agradáveis. Ferramentas computacionais gráficas são utilizadas por artistas gráficos para quebrar imagens complexas realísticas em vários círculos básicos, linhas e polígonos.</span></p><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;"><span style="font-family: arial;"></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: arial;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjZc5DIsO_JykQIRdmAyeGnLWI-5DlXUWJzazg1ATs6kPJSo2sweGlfm1sADRSFuI_MdNfSadOz4NbJC1h8A-Z1qdaCsye-vLKybcmpt8NfPj0e3p7pBbtfFpo_wZNewXg7p8vr-S1FMV1CTs-QJEx9CchLmGQHC6ilcYbluuhhZyD016PtfrYrxvH-" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="587" data-original-width="880" height="213" src="https://blogger.googleusercontent.com/img/a/AVvXsEjZc5DIsO_JykQIRdmAyeGnLWI-5DlXUWJzazg1ATs6kPJSo2sweGlfm1sADRSFuI_MdNfSadOz4NbJC1h8A-Z1qdaCsye-vLKybcmpt8NfPj0e3p7pBbtfFpo_wZNewXg7p8vr-S1FMV1CTs-QJEx9CchLmGQHC6ilcYbluuhhZyD016PtfrYrxvH-" width="320" /></a></span></div><span style="font-family: arial;"><br /><br /></span><p></p><h2 style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: Roboto, sans-seriff; font-size: 1.5rem; font-weight: 500; letter-spacing: 0.005em; line-height: normal; margin: 0px 0px 1rem; padding: 0px;">Arte</h2><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: sans-serif; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;">A perspectiva linear da arte é feita através de linhas e pontos. A linha horizontal é desenhada em meio ao nível dos olhos do espectador, projetada para representar o ponto onde a terra encontra o céu. Um ponto de fuga é desenhado perto do centro da linha horizontal e retrata onde todas as linhas paralelas se movem em direção à linha do horizonte, dando a aparência de se juntarem. As linhas retas são, então, desenhadas no meio para representar os raios visuais, ou linhas que ligam o olho do espectador a um ponto distante, proporcionando uma ilusão de convergência.</p><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: sans-serif; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiKPJ7Kps1hHKEeWuIkPPX8QfClQkhWJSrTejVkyJxO_rVzvjnJu5jVe8GnEYP-eAiw3l3ykcyGtlyryWLGHXuRe5mgJboyBP2Howj57ac4OA_7GQhJYCjO77OS5zoh5dPfvaweVDYwt3o_elIr_g2Q09Adh1ThcACOWz9JUZHedgN8gJJNI3TvxXlN" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="427" data-original-width="630" height="271" src="https://blogger.googleusercontent.com/img/a/AVvXsEiKPJ7Kps1hHKEeWuIkPPX8QfClQkhWJSrTejVkyJxO_rVzvjnJu5jVe8GnEYP-eAiw3l3ykcyGtlyryWLGHXuRe5mgJboyBP2Howj57ac4OA_7GQhJYCjO77OS5zoh5dPfvaweVDYwt3o_elIr_g2Q09Adh1ThcACOWz9JUZHedgN8gJJNI3TvxXlN=w399-h271" width="399" /></a></div><br /><br /><p></p><h2 style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: Roboto, sans-seriff; font-size: 1.5rem; font-weight: 500; letter-spacing: 0.005em; line-height: normal; margin: 0px 0px 1rem; padding: 0px;">Fotografia</h2><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: sans-serif; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;">Na fotografia, a perspectiva linear retrata a profundidade fazendo linhas paralelas convergirem no plano da fotografia. Este efeito é produzido por escalar o tema em primeiro plano contra os elementos de fundo da fotografia.</p><p style="background-color: #fcfcfc; box-sizing: border-box; color: #333333; font-family: sans-serif; font-size: 1.1rem; letter-spacing: 0.01em; line-height: 1.5rem; margin: 0px 0px 1rem; padding: 0px;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEixWhVcNqPcTOox8h2q7kYTjFz-16itKjx6v3RfGr_jzi3S6sqdp_Q-7rHA_qUTEHLsS5Rzte2VkFtXRi7FUchj0GAXKIKglQqaKeJR1CTy1ZWUce3d0uWQzcEuKkU2YpL1CREKDrkSb_mrWm9QfM69wpC70A4ueAYAwS61U0ONbYd_nXCffVd4bfKv" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="563" data-original-width="1000" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEixWhVcNqPcTOox8h2q7kYTjFz-16itKjx6v3RfGr_jzi3S6sqdp_Q-7rHA_qUTEHLsS5Rzte2VkFtXRi7FUchj0GAXKIKglQqaKeJR1CTy1ZWUce3d0uWQzcEuKkU2YpL1CREKDrkSb_mrWm9QfM69wpC70A4ueAYAwS61U0ONbYd_nXCffVd4bfKv" width="320" /></a></div><br /><br /><p></p></div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">Arquitetura</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">iluminação</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">aviação</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">odontologia</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">geografia</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;"><br /></div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;">etc...</div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;"><br /></div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><div style="text-align: left;">Atividade 1: Para a próxima aula trazer:</div><div style="text-align: left;"><br /></div></div><div class="separator" style="clear: both;">figuras impressas ou de revistas </div><div class="separator" style="clear: both;">transferidor</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Na aula seguinte iremos medir ângulos em figuras, monumentos, frutas.. e traçar sua bissetriz</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Atividade 2:Também podemos identificar a importância da bissetriz em diversos segmentos</div><div class="separator" style="clear: both;">Fazer uma pesquisa ilustrada de alguma profissão que precisa usar ângulos bem como sua bissetriz, apresentando suas descobertas na próxima aula.</div><div class="separator" style="clear: both;"><br /></div></div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div style="text-align: left;"><span face="arial, sans-serif" style="color: #202124;"><br /></span></div><div class="separator" style="clear: both; color: #202124; font-family: arial, sans-serif; font-size: 16px; text-align: left;"><br /></div><div style="text-align: left;"><br /></div><br /></div><br /><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-78554717734160092482022-02-10T11:40:00.002-03:002022-02-21T14:20:49.757-03:00Novo Ensino Médio de geometria : Composição fotográfica circular<p> </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg-oknQf3DVFP50uXuGCAyBN4c-4zXCXqF6QwVnBO_e2ZhOP4O7gubVBcngqRrYsFiFeCJqW7kgH77PGUa3058YpN-ZGfD79amf3eibbMRDPnRh5AyDkZABCANjtlFopcszeM-kkbrGjpzY2jzXlYLoqgJEMPfxfTNl2mxI_xfrY_hwOOOkbLMw39Wf" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="183" data-original-width="275" height="295" src="https://blogger.googleusercontent.com/img/a/AVvXsEg-oknQf3DVFP50uXuGCAyBN4c-4zXCXqF6QwVnBO_e2ZhOP4O7gubVBcngqRrYsFiFeCJqW7kgH77PGUa3058YpN-ZGfD79amf3eibbMRDPnRh5AyDkZABCANjtlFopcszeM-kkbrGjpzY2jzXlYLoqgJEMPfxfTNl2mxI_xfrY_hwOOOkbLMw39Wf=w443-h295" width="443" /></a></div><br /><p></p><p>Objetivo pedagógico: os alunos em grupos de 1 a 4 deverão compor 3 ou mais fotografias com os objetivos discriminando:</p><p>- Círculo e circunferência</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhjVJM5Ilc23aAH_2staPr-K6gUvbCpgR4CglskkU0mPE1DkjUBJWNApvgZoVTAjzd93OKLrYFLqrY8J4aqlJVf-nxVwh3PGkG7We36A-PatgYgZGdEJrBVcAG3kLgFMIay2yb5QoV7dFp_3OJZRhISQ_GfMVhkdCPQKy_9m9oO10-TlORfsMzgJsuB" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="438" data-original-width="778" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhjVJM5Ilc23aAH_2staPr-K6gUvbCpgR4CglskkU0mPE1DkjUBJWNApvgZoVTAjzd93OKLrYFLqrY8J4aqlJVf-nxVwh3PGkG7We36A-PatgYgZGdEJrBVcAG3kLgFMIay2yb5QoV7dFp_3OJZRhISQ_GfMVhkdCPQKy_9m9oO10-TlORfsMzgJsuB" width="320" /></a></div><br /><br /><p></p><p>- Elementos da circunferência</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj9aPQNu769XyBUmu7ma0Wjv0HDsSFV4pLqE2giK0pN5ZYsLUj2SjiYTf4b5x1xcb0NDDGzyrzJE_XsOohX8BzPrW9tvzEM8oHFON9trPgo1TDc_cAUKtbK6m70ZT7_13azr9W_FWRSKuqwC-juVBxW4eiXRP2BmKVyiib156wsAzn6iP4rg1OJVYnA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="168" data-original-width="300" height="179" src="https://blogger.googleusercontent.com/img/a/AVvXsEj9aPQNu769XyBUmu7ma0Wjv0HDsSFV4pLqE2giK0pN5ZYsLUj2SjiYTf4b5x1xcb0NDDGzyrzJE_XsOohX8BzPrW9tvzEM8oHFON9trPgo1TDc_cAUKtbK6m70ZT7_13azr9W_FWRSKuqwC-juVBxW4eiXRP2BmKVyiib156wsAzn6iP4rg1OJVYnA" width="320" /></a></div><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjGOcNUOD-ukeLioYcvSPFH4XFRM_IEXaiCdiRjIdyuqX-YdCVdGhOmkuNh3kaE_aBrEHl7US4oson3Uw5iWcF_NUA5ePrHS44ZXU8OZbjOwuzwznSDPfSfnGp1BobQYbvE7pG-wo7vmHW9lYmZoleTTfS_kpT4GWMJtAz05VxMCl8ObefCvSmTv2Xv" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="392" data-original-width="1224" height="222" src="https://blogger.googleusercontent.com/img/a/AVvXsEjGOcNUOD-ukeLioYcvSPFH4XFRM_IEXaiCdiRjIdyuqX-YdCVdGhOmkuNh3kaE_aBrEHl7US4oson3Uw5iWcF_NUA5ePrHS44ZXU8OZbjOwuzwznSDPfSfnGp1BobQYbvE7pG-wo7vmHW9lYmZoleTTfS_kpT4GWMJtAz05VxMCl8ObefCvSmTv2Xv=w601-h222" width="601" /></a></div><br /><br /><p></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhVUBknygbl3SCm03MiQjLpHaPsIxjHnrMWNBxhj6ppAFn3yiquVl7pohc5H7SF3RkpkplTnysM-CMlFvwMVcFaUb4rlgh_FKkGwoC7ZziF37a_O2eRgCUqg02yh7aRsaQWWI7xK-N8KhsC9d6FY1GzLUhJ1CmR8Evbf8OVQomDSsBH5FMRTkxoCFpN" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="522" data-original-width="564" height="332" src="https://blogger.googleusercontent.com/img/a/AVvXsEhVUBknygbl3SCm03MiQjLpHaPsIxjHnrMWNBxhj6ppAFn3yiquVl7pohc5H7SF3RkpkplTnysM-CMlFvwMVcFaUb4rlgh_FKkGwoC7ZziF37a_O2eRgCUqg02yh7aRsaQWWI7xK-N8KhsC9d6FY1GzLUhJ1CmR8Evbf8OVQomDSsBH5FMRTkxoCFpN=w358-h332" width="358" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhlNUfCKMUfcfGcC3kaR0Mpgfnr4nBK84k_a1oTwWdN4D5_mpElXV83W3kdbUuPGp9RJny58SyIq7zd0GUGxCjDxH2k-1eZr_RqhJgT_W9-oo4hV_BCVxt33H37_FPbvREJ5-3vGgH_QQNBMu7K7jm2DieIBL0g51WI833XinnSA4sfI9uhHi60heaE" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="1168" data-original-width="1600" height="267" src="https://blogger.googleusercontent.com/img/a/AVvXsEhlNUfCKMUfcfGcC3kaR0Mpgfnr4nBK84k_a1oTwWdN4D5_mpElXV83W3kdbUuPGp9RJny58SyIq7zd0GUGxCjDxH2k-1eZr_RqhJgT_W9-oo4hV_BCVxt33H37_FPbvREJ5-3vGgH_QQNBMu7K7jm2DieIBL0g51WI833XinnSA4sfI9uhHi60heaE=w365-h267" width="365" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhiXoG2bhV7TXwZUwbPrr1fB3Ok6kIbofXX5tqHDS0D7PciXfjqFPM2wlwkir0xpJ6rhI6xWfHPGvOKFgKHw5XSbRld0owsT6CFjMVGTnM4UAYGHDqfMzBuIWmXMphnijfpjzERHFqyvV1WkEi3mfon3ykJ5K1WfbxnuyfPx2RPGu4L1w6hhT7wIGE7" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="225" data-original-width="225" height="263" src="https://blogger.googleusercontent.com/img/a/AVvXsEhiXoG2bhV7TXwZUwbPrr1fB3Ok6kIbofXX5tqHDS0D7PciXfjqFPM2wlwkir0xpJ6rhI6xWfHPGvOKFgKHw5XSbRld0owsT6CFjMVGTnM4UAYGHDqfMzBuIWmXMphnijfpjzERHFqyvV1WkEi3mfon3ykJ5K1WfbxnuyfPx2RPGu4L1w6hhT7wIGE7=w263-h263" width="263" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhf9NhCfRsMfOsmZp4KpdifOWVHhPlMebMOlyB0_QTZGXLJo92qw5Ue1Rut_Z2SbHdd9odCYDgyM2vtCn0VcNGqM-hv_mM7u1orKrG-RcVBlBShD6LYGen0bGxUP6fd-DgOK-FiXgospoGPqmrsjYU4GuiWie2NyoZRiMaafqtzxUTS5XsFnNZmjOic" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="683" data-original-width="1023" height="214" src="https://blogger.googleusercontent.com/img/a/AVvXsEhf9NhCfRsMfOsmZp4KpdifOWVHhPlMebMOlyB0_QTZGXLJo92qw5Ue1Rut_Z2SbHdd9odCYDgyM2vtCn0VcNGqM-hv_mM7u1orKrG-RcVBlBShD6LYGen0bGxUP6fd-DgOK-FiXgospoGPqmrsjYU4GuiWie2NyoZRiMaafqtzxUTS5XsFnNZmjOic" width="320" /></a></div><br />Os alunos deverão tirar 3 fotos das composições:</div><div class="separator" style="clear: both; text-align: center;">Vista superior</div><div class="separator" style="clear: both; text-align: center;">Vista frontal</div><div class="separator" style="clear: both; text-align: center;">Vista livre</div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Na aula posterior as fotos deverão ser apresentadas a sala.</div><br /><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-20158148740394867892022-02-04T15:17:00.005-03:002022-02-21T14:21:07.209-03:00Novo Ensino Médio Geometria dinâmica: esculturas que mudam conforme o ângulo de visão/ Geometria espacial<p><br /></p><p><span style="font-family: arial; font-size: medium;"> </span><span style="font-family: arial; font-size: large;">Definições de perspectiva: Arte ou técnica de representar tridimensionalmente, criando ilusão de profundidade e proporção das figuras, de tal forma que estas, no espaço do ponto de vista do observador, pareçam bem menores à proporção que cresce a distância; método que possibilita ilusão de um espaço </span><span style="font-family: arial; font-size: large;">tridimensional, pelo qual retas paralelas que se projetam longe do primeiro plano são desenhadas, na verdade, como linhas diagonais que convergem e se encontram em determinado ponto.</span></p><p><span style="font-family: arial; font-size: large;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj3pQ9fWqKyFfoHNFWmuI11d2brjwx3phPQ-DCwivl4oDFKTL0hvA8yWoogNlF7dQmTC-yjGSQl2Fh5Wr_hdzqPOKBMdNrgYHYNRbRzkGuvmk9qj3AOq_tcxR24SxToNMNpUdkaQ0Mq6_C20-4tPFvl90yaV3v4GCfgaDh-wiNBha3JfzY6X1Pj9t6e" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="551" data-original-width="620" height="308" src="https://blogger.googleusercontent.com/img/a/AVvXsEj3pQ9fWqKyFfoHNFWmuI11d2brjwx3phPQ-DCwivl4oDFKTL0hvA8yWoogNlF7dQmTC-yjGSQl2Fh5Wr_hdzqPOKBMdNrgYHYNRbRzkGuvmk9qj3AOq_tcxR24SxToNMNpUdkaQ0Mq6_C20-4tPFvl90yaV3v4GCfgaDh-wiNBha3JfzY6X1Pj9t6e=w405-h308" width="405" /></a></div><br /><br /><p></p><p style="background-color: white; box-sizing: inherit; color: #0a0a0a; font-family: Karla, blinkmacsystemfont, -apple-system, roboto, "lucida sans"; font-feature-settings: "kern"; font-kerning: normal; letter-spacing: -0.9px; line-height: 1.6; margin: 0px 0px 1rem; overflow-wrap: break-word; padding: 0px; text-rendering: optimizelegibility; word-spacing: 0.001em;"><span style="font-size: large;"><span style="box-sizing: inherit;"><strong style="box-sizing: inherit; line-height: inherit;">Esculturas com arame</strong> tem sido um meio muito comum usado por um crescente número de artistas, mas não há nada como a <strong style="box-sizing: inherit; line-height: inherit;">arte única de Matthieu Robert-Ortis</strong>. </span><span style="box-sizing: inherit;">O escultor francês, que só começou a mostrar seu trabalho há três anos, cria <strong style="box-sizing: inherit; line-height: inherit;">obras de arte com o material</strong> que são o que ele chama de <strong style="box-sizing: inherit; line-height: inherit;">esculturas anamórficas</strong>.</span></span></p><p style="background-color: white; box-sizing: inherit; color: #0a0a0a; font-family: Karla, blinkmacsystemfont, -apple-system, roboto, "lucida sans"; font-feature-settings: "kern"; font-kerning: normal; font-size: 18px; letter-spacing: -0.9px; line-height: 1.6; margin: 0px 0px 1rem; overflow-wrap: break-word; padding: 0px; text-rendering: optimizelegibility; word-spacing: 0.001em;"><span style="box-sizing: inherit;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj3FCcBOsfet-3sMVdQoS_ylRY332xBTr2KoH5kRdvpvqJ8uGgH-i3bCZl9FGCsgPkdnx1RJngHH2dDanYg3Lo2GH3X9Z1nXis4mA6044YdmppAQiNQEnKBuRnoC_UmgqzSUduv08zUQu6MX3jExQoevg6mqfzTGhWiMu6Pd52UPemvtFwe_mPyZj9Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="387" data-original-width="620" height="254" src="https://blogger.googleusercontent.com/img/a/AVvXsEj3FCcBOsfet-3sMVdQoS_ylRY332xBTr2KoH5kRdvpvqJ8uGgH-i3bCZl9FGCsgPkdnx1RJngHH2dDanYg3Lo2GH3X9Z1nXis4mA6044YdmppAQiNQEnKBuRnoC_UmgqzSUduv08zUQu6MX3jExQoevg6mqfzTGhWiMu6Pd52UPemvtFwe_mPyZj9Q=w407-h254" width="407" /></a></div><br /><br /><p></p><p class="p1" style="background-color: white; box-sizing: inherit; color: #0a0a0a; font-family: Karla, blinkmacsystemfont, -apple-system, roboto, "lucida sans"; font-feature-settings: "kern"; font-kerning: normal; letter-spacing: -0.9px; line-height: 1.6; margin: 0px 0px 1rem; overflow-wrap: break-word; padding: 0px; text-rendering: optimizelegibility; word-spacing: 0.001em;"><span style="font-size: large;">Ao contrário das esculturas de arame normais, de um <strong style="box-sizing: inherit; line-height: inherit;">certo ângulo suas obras parecem com um animal</strong>, mas <strong style="box-sizing: inherit; line-height: inherit;">se transformam em outra forma ao serem visualizadas de outra perspectiva</strong>.</span></p><p class="p1" style="background-color: white; box-sizing: inherit; color: #0a0a0a; font-family: Karla, blinkmacsystemfont, -apple-system, roboto, "lucida sans"; font-feature-settings: "kern"; font-kerning: normal; font-size: 18px; letter-spacing: -0.9px; line-height: 1.6; margin: 0px 0px 1rem; overflow-wrap: break-word; padding: 0px; text-rendering: optimizelegibility; word-spacing: 0.001em;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhPrtMBbPuYgOOaAv4KY2WsuwPuU0HonJ-Nm4J7zdB2q07y8q9oXkcZX1eiCjN1q_3WwLLFurd_pWkwf8HYQobJyrvIrU3cy745sOVXLz2vr2DBdu8PEc7miAaH54CfRRqt3qJHvbcSqrX5wBC35-xARFu6bET-bnkPSIcCi1mPi33BIdd82HpR01To" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="827" data-original-width="620" height="384" src="https://blogger.googleusercontent.com/img/a/AVvXsEhPrtMBbPuYgOOaAv4KY2WsuwPuU0HonJ-Nm4J7zdB2q07y8q9oXkcZX1eiCjN1q_3WwLLFurd_pWkwf8HYQobJyrvIrU3cy745sOVXLz2vr2DBdu8PEc7miAaH54CfRRqt3qJHvbcSqrX5wBC35-xARFu6bET-bnkPSIcCi1mPi33BIdd82HpR01To=w288-h384" width="288" /></a></div><br /><br /><p></p><p class="p1" style="background-color: white; box-sizing: inherit; color: #0a0a0a; font-family: Karla, blinkmacsystemfont, -apple-system, roboto, "lucida sans"; font-feature-settings: "kern"; font-kerning: normal; letter-spacing: -0.9px; line-height: 1.6; margin: 0px 0px 1rem; overflow-wrap: break-word; padding: 0px; text-rendering: optimizelegibility; word-spacing: 0.001em;"><span style="font-size: large;">O artista de 26 anos teve milhões de visualizações com seu trabalho mais popular, <i style="box-sizing: inherit; line-height: inherit;">La révolution des Girafes</i>, imagem em que traz um elefante de um lado e duas girafas de outro. <strong style="box-sizing: inherit; line-height: inherit;">Tudo muda dependendo da perspectiva do espectador</strong>.</span></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="377" src="https://www.youtube.com/embed/9fd1GoiK3rk" width="485" youtube-src-id="9fd1GoiK3rk"></iframe></div><br /><p style="background-color: white; box-sizing: border-box; color: dimgrey; margin: 15px 0px;"><span style="font-family: arial; font-size: large;">Essa técnica utilizada por Matthieu Robert Ortis não é nova. A anamorfose vem desde o período renascentista e tem como base a codificação em sua elaboração. A imagem oculta da obra de arte desenvolvida, em que a técnica da anamorfose foi empregada, só é desbloqueada por meio de outros objetos, como um espelho, por exemplo, ou de movimentação angular do observador frente à obra. As esculturas de Matthieu Robert Ortis seguem esse conceito, e ainda acrescentam a metamorfose abstrata no meio do caminho entre uma imagem definida a outra quando o recurso da movimentação é adotado.</span></p><p style="background-color: white; box-sizing: border-box; color: dimgrey; margin: 15px 0px;"></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="317" src="https://www.youtube.com/embed/7SnLKq5b5Y0" width="381" youtube-src-id="7SnLKq5b5Y0"></iframe></div><br /><span style="font-family: arial; font-size: medium;"><br /></span><p></p><p style="background-color: white; box-sizing: border-box; color: dimgrey; margin: 15px 0px;"><span style="font-family: arial; font-size: large;">O artista inspira sutilmente os observadores a questionarem suas percepções e a refletirem sobre as diversas possibilidades vistas em diferentes ângulos. A obra criada e intitulada de Epigénétique carrega uma escultura que, vista de frente, revela o próprio artista em pose de meditação, mas ao movimentar-se para o lado direito, uma fita de DNA é revelada, fazendo também alusão à subida do poder ígneo (algo a se ter muito cuidado) e cores que representam cada centro energético vital.</span></p><p><span style="font-size: large;"><span style="font-family: arial;">Proposta pedagógica: Utilizar o conhecimento geométrico para realizar a leitura e a representação da realidade e agir sobre ela e reconhecer que na realidade, o artista cria esculturas por meio de composições espaciais de </span><span style="font-family: arial;">arame que, quando observadas de diferentes pontos de vista, formam imagens distintas . Faça uma escultura de arame tentando abordar a técnica citada no texto.</span></span></p><p><span style="font-size: large;"><span style="font-family: arial;">Essas imagens diferentes se formam porque não enxergamos as linhas espaciais com </span><span style="font-family: arial;">diferentes profundidades (diferentes distâncias de nós), mas sim o modo como elas se </span><span style="font-family: arial;">projetam juntas.</span></span></p><p><span style="font-size: large;"><span style="font-family: arial;">Dica de como fazer:</span></span></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="285" src="https://www.youtube.com/embed/UNMpFOEQ5Mo" width="343" youtube-src-id="UNMpFOEQ5Mo"></iframe></div><br /><p><br /></p><p style="background-color: white; box-sizing: border-box; color: dimgrey; margin: 15px 0px;"><span style="font-family: arial; font-size: medium;"><br /></span></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-61228250043972717442022-02-03T15:44:00.000-03:002022-02-03T15:44:20.601-03:00Ângulos no dia a dia<p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="330" src="https://www.youtube.com/embed/sZ2yF458f5Y" width="397" youtube-src-id="sZ2yF458f5Y"></iframe></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="362" src="https://www.youtube.com/embed/syPV2BXt_Kc" width="436" youtube-src-id="syPV2BXt_Kc"></iframe></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="333" src="https://www.youtube.com/embed/qlw4wbn9k3k" width="401" youtube-src-id="qlw4wbn9k3k"></iframe></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><span style="text-align: left;"> </span></div><p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="352" src="https://www.youtube.com/embed/U50VABuJnHI" width="423" youtube-src-id="U50VABuJnHI"></iframe></div><br />doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-56367812640025215502022-02-03T15:01:00.007-03:002022-02-21T14:21:35.956-03:00 Novo Ensino Médio Geometria dinâmica- Ponto, reta e plano usando game de mapa metroviário<p> </p><h2 style="background-color: white; box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 3.3rem; line-height: 1.27; margin: 0px 0px 1.8rem;">Mapa da rede do metrô de São Paulo / SP</h2><div><p style="background-color: white;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;">Proposta pedagógica: os alunos divididos em grupo deverão responder ao quizz relacionado a essa postagem.</span></span></p><p style="background-color: white;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"></span></span></p></div><div class="wp-block-image" style="background-color: white; box-sizing: border-box; margin: 0px 0px 3rem; position: relative;"><figure class="aligncenter is-resized" style="box-sizing: border-box; clear: both; color: #444444; display: table; font-family: "Open Sans"; font-size: 16px; margin: 0px auto;"><img alt="Mapa do Transporte Metropolitano de São Paulo - Metrô SP" class="wp-image-18799" height="1232" loading="lazy" sizes="(max-width: 810px) 100vw, 810px" src="https://www.seumochilao.com.br/wp-content/uploads/2019/02/mapa-da-rede-metro.jpg" srcset="https://www.seumochilao.com.br/wp-content/uploads/2019/02/mapa-da-rede-metro.jpg 810w, https://www.seumochilao.com.br/wp-content/uploads/2019/02/mapa-da-rede-metro-84x128.jpg 84w, https://www.seumochilao.com.br/wp-content/uploads/2019/02/mapa-da-rede-metro-768x1168.jpg 768w, https://www.seumochilao.com.br/wp-content/uploads/2019/02/mapa-da-rede-metro-670x1019.jpg 670w" style="border-radius: inherit; border: 0px; box-sizing: border-box; height: auto; max-width: 100%; vertical-align: middle;" width="810" /></figure><figure class="aligncenter is-resized" style="box-sizing: border-box; clear: both; color: #444444; display: table; font-family: "Open Sans"; font-size: 16px; margin: 0px auto;"><br /></figure><figure class="aligncenter is-resized" style="box-sizing: border-box; clear: both; color: #444444; display: table; font-family: "Open Sans"; font-size: 16px; margin: 0px auto;"><br /></figure><figure class="aligncenter is-resized" style="box-sizing: border-box; clear: both; display: table; margin: 0px auto;"><h2 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 3.3rem; line-height: 1.27; margin: 0px 0px 1.8rem;">5 linhas de metrô e 7 de trem</h2><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem;">Atualmente, há <span style="box-sizing: border-box; font-weight: 700;">5 linhas de metrô e 6 de trem</span>. Para facilitar a identificação de cada linha, elas são classificadas por cores. Vamos conhecer cada uma delas?</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem;"><span style="box-sizing: border-box;">Metrô – Linha 1 – Azul (Norte-Sul)</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem;">A linha é a maior com número de estações, são 23 ao todo. Ela vai da Zona Norte à Zona Sul de São Paulo. A Linha 1 – Azul possui algumas das mais movimentadas estações de Sampa, como Portuguesa-Tietê e Sé (que faz integração com a linha vermelha). A linha também faz conexão com a Linha 2 – Verde do Metrô. Além disso, ela também integra com a Linha 3 – Amarela, na Luz.</p><blockquote class="wp-block-quote" style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin-bottom: 3rem;"><p style="box-sizing: border-box; color: #22345e; font-size: 2.2rem; line-height: 3.4rem; margin: 0px 0px 20px; text-align: inherit;">Capacidade: 30.000 passageiros/hora/pico<br style="box-sizing: border-box;" />Inauguração: 14/09/1974</p></blockquote><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem;"><span style="box-sizing: border-box;">Metrô – Linha 2 – Verde (Região da Av. Paulista à região Sudeste)</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem;">Para o explorador que se hospedar na região da Av. Paulista, vai se deparar bastante com a Linha Verde, que possui no total 14 estações, vai da Vila Madalena à Vila Prudente, região Sudeste de São Paulo.</p><blockquote class="wp-block-quote" style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin-bottom: 3rem;"><p style="box-sizing: border-box; color: #22345e; font-size: 2.2rem; line-height: 3.4rem; margin: 0px 0px 20px; text-align: inherit;">Capacidade: Demanda diária de 65.900 embarques.<br style="box-sizing: border-box;" />Última inauguração: 21/08/2010</p></blockquote><p style="color: #444444; font-family: "Open Sans"; font-size: 16px;"> <a href="https://blogger.googleusercontent.com/img/a/AVvXsEiwm2mFseN7b6xtVTc3KNOkIf93FyDiUWPuwzBrB5dABZgtNEE_R74wcGultV37RuhSXcArucBStxv9kG8NbCnFZROw0jDcm8l_y32ipmi-I8_-szzcyzKJgPz0EsMbVhnXVMyaoo_lQgyK_kzrXeanOnJD8sJS74sH7oiR7crrM1UGZNFodt8xKkCt=s853" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" data-original-height="640" data-original-width="853" height="417" src="https://blogger.googleusercontent.com/img/a/AVvXsEiwm2mFseN7b6xtVTc3KNOkIf93FyDiUWPuwzBrB5dABZgtNEE_R74wcGultV37RuhSXcArucBStxv9kG8NbCnFZROw0jDcm8l_y32ipmi-I8_-szzcyzKJgPz0EsMbVhnXVMyaoo_lQgyK_kzrXeanOnJD8sJS74sH7oiR7crrM1UGZNFodt8xKkCt=w554-h417" width="554" /></a><br /></p><div class="separator" style="clear: both; text-align: center;"><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Metrô – Linha 3 – Vermelha (Leste-Oeste)</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">É outra grande linha, no total são 18 estações. Ela vai da Barra-Funda (Zona Oeste) até Corinthians-Itaquera (Zona Leste). A Linha Vermelha faz integração com a Linha 4 – Amarela do metrô e também faz conexões com as linhas da CPTM: 10 – Turquesa, 12- Safira e 11- Coral.</p><blockquote class="wp-block-quote" style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin-bottom: 3rem; text-align: left;"><p style="box-sizing: border-box; color: #22345e; font-size: 2.2rem; line-height: 3.4rem; margin: 0px 0px 20px; text-align: inherit;">Capacidade: 60.000 passageiros/hora/pico<br style="box-sizing: border-box;" />Inauguração: 01/10/1988</p></blockquote><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Metrô – Linha 4 – Amarela</span></h3><p><span style="color: #444444; font-family: "Open Sans"; font-size: 16px; text-align: start;">Possui 10 estações. Falta apenas uma (em construção) para ficar completa. É a mais moderna linha de São Paulo, ou melhor, da América Latina. Tem início na estação da Luz e vai até o Morumbi. Integra a Linha 3 – Vermelha e Linha 2 – Verde do Metrô, além de fazer conexão com a Linha 9 – Esmeralda da CPTM.</span></p><p><br /></p><blockquote class="wp-block-quote" style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin-bottom: 3rem; text-align: left;"><p style="box-sizing: border-box; color: #22345e; font-size: 2.2rem; line-height: 3.4rem; margin: 0px 0px 20px; text-align: inherit;">Capacidade: 60.000 passageiros/hora/pico<br style="box-sizing: border-box;" />Inauguração: 2010</p></blockquote><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Metrô – Linha 5 – Lilás</span></h3><p style="text-align: justify;"><span style="color: #444444; font-family: "Open Sans"; font-size: 16px; text-align: start;">Possui atualmente 16 estações e está em constante crescimento. Foram inauguradas nove estações nos últimos anos. Vai de Adolfo Pinheiro ao Capão Redondo, fazendo conexão com a Linha 9 – Esmeralda da CPTM.</span> </p><p style="text-align: justify;"><span style="color: #22345e; font-family: "Open Sans"; font-size: 22px; text-align: left;">Capacidade: 60.000 passageiros/hora/pico</span><br style="box-sizing: border-box; color: #22345e; font-family: "Open Sans"; font-size: 22px; text-align: left;" /><span style="color: #22345e; font-family: "Open Sans"; font-size: 22px; text-align: left;">Inauguração: 2002</span></p><p style="text-align: left;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;">Proposta pedagógica: os alunos em grupo deverão responder ao quizz relacionado essa postagem.</span></span></p><p style="text-align: left;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"></span></span></p><div class="separator" style="clear: both; text-align: center;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjHFhKYYylvhG_JMlT1SebQtwSVTJwdytHrGnzKbcWMALWR5OXgMZ9e6ZSGGVliEPYa-NhgGy4Fvuj1ckGJ5LhTSkSaY1sEqGzMaXNsfdXdGtyxnFkR-fmmzDXDrmf5mSDJgr8zdhO7Xkz6YLeiJqXpOMOL5nCsl9zpEkDnDEw1K1GaLxpIgYU_kIb9=s853" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="640" data-original-width="853" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjHFhKYYylvhG_JMlT1SebQtwSVTJwdytHrGnzKbcWMALWR5OXgMZ9e6ZSGGVliEPYa-NhgGy4Fvuj1ckGJ5LhTSkSaY1sEqGzMaXNsfdXdGtyxnFkR-fmmzDXDrmf5mSDJgr8zdhO7Xkz6YLeiJqXpOMOL5nCsl9zpEkDnDEw1K1GaLxpIgYU_kIb9=s320" width="320" /></a></span></span></div><div class="separator" style="clear: both; text-align: center;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"><br /></span></span></div><p></p><h2 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 3.3rem; line-height: 1.27; margin: 0px 0px 1.8rem; text-align: start;">Trens da CPTM (Companhia Paulista de Trens Metropolitanos)</h2><div class="separator" style="clear: both;"><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">Para as regiões mais afastadas da capital, uma boa alternativa é ir de trem, que possui ligação gratuita com o Metrô. O inverso também acontece. No total são 6 linhas, 92 estações, interligando 22 municípios da grande São Paulo. As linhas são:</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 7 – Rubi</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">A linha Rubi faz o trecho, Luz ↔ Jundiaí, passando também pela Palmeiras Barra-Funda, uma das principais estações de São Paulo. Ela possui 18 estações.</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 8 – Diamante</span></h3><div><span style="box-sizing: border-box;"><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">É uma das principais linhas de trem de São Paulo, compreende o trecho definido entre as estações Júlio Prestes ↔ Itapevi, com extensão operacional entre as estações Itapevi e Amador Bueno. Possui 23 estações. Faz conexões com outras 2 linhas, a Vermelha do Metrô (Estação estações. É a mais nova linha da CPTM.</p><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;"></p><blockquote class="wp-block-quote" style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin-bottom: 3rem; text-align: left;"><p style="box-sizing: border-box; color: #22345e; font-size: 2.2rem; line-height: 3.4rem; margin: 0px 0px 20px; text-align: inherit;"><span style="box-sizing: border-box; font-weight: 700;">Cadê a linha 6 – Laranja? </span></p><cite style="box-sizing: border-box; font-size: 13.6px; font-style: normal;">Pois é, a Linha 6 – Laranja é um projeto que ainda não está pronto, mas que ligará a estação São Joaquim, (Linha 1-Azul), a uma futura estação a ser construída no bairro de Brasilândia. Numa segunda fase será estendida até Pirituba, na zona norte, e ao Jardim Anália Franco, na zona leste. Essa ainda não dá para explorar!</cite></blockquote><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">.</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 9 – Esmeralda</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">Essa linha vai da Zona Oeste à Zona Sul (Osasco ↔ Grajaú), possui 18 estações e faz conexão com outras 3 linhas: A Diamante (CPTM), Linha Amarela (Metrô) e Linha Lilás (Metrô).</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 10 – Turquesa</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">Essa linha faz o trecho Brás ↔ Rio Grande da Serra. Ela liga a região central de Sampa até a região do ABC Paulista, cruzando a região sudeste do município de São Paulo e os municípios de São Caetano do Sul, Santo André, Mauá, Ribeirão Pires e Rio Grande da Serra. Possui 13</p><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;"><span style="color: #22345e; font-family: Lato; font-size: 2.8rem;"><b>Linha 11 – Coral</b></span></p><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">A <span style="box-sizing: border-box; font-weight: 700;">Linha Coral</span> é uma das mais saturadas da região metropolitana de Sampa. Ela abrange o trecho da rede metropolitana definida entre as estações da Luz e Estudantes. É conhecida como Expresso Leste no trecho de Luz a Guaianases. Possui 16 estações.</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 12 – Safira</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">A <span style="box-sizing: border-box; font-weight: 700;">Linha Safira </span>interliga as estações Brás ↔ Calmon Viana. Possui também 13 estações.</p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><span style="box-sizing: border-box;">Linha 13 – Jade</span></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;">A <span style="box-sizing: border-box; font-weight: 700;">Linha Jade </span>interliga as estações Luz ↔ Aeroporto de Guarulhos. Possui somente quatromeiras Barra-Funda) e a Linha 9 -Esmeralda.</p><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;"><br /></p><h3 style="box-sizing: border-box; color: #22345e; font-family: Lato; font-size: 2.8rem; line-height: 1.29; margin: 0px 0px 1.4rem; text-align: start;"><br /></h3><p style="box-sizing: border-box; color: #444444; font-family: "Open Sans"; font-size: 16px; margin: 0px 0px 3rem; text-align: start;"><br /></p></span></div></div><p style="text-align: left;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"><br /></span></span></p><div class="separator" style="clear: both; text-align: center;"><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"><br /></span></span></div><span style="color: #22345e; font-family: Open Sans;"><span style="font-size: 22px;"><br /><br /></span></span><p></p></div></figure></div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-36726907817699619222022-02-03T13:48:00.006-03:002022-02-21T14:22:10.690-03:00 Novo Ensino Médio Geometria dinâmica/ Ensino médio- projeção ortogonal<p> </p><h1 class="name post-title entry-title" itemprop="itemReviewed" itemscope="" itemtype="http://schema.org/Thing" style="background-color: white; border: 0px; font-family: Arial, Helvetica, sans-serif; font-size: 35px; font-weight: normal; list-style: none; margin: 0px 0px 10px; outline: none; padding: 0px;"><span itemprop="name" style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px;">ENEM 2020 – Questão sobre projeção ortogonal – Em um jogo desenvolvido</span><span class="ezoic-adpicker-ad" id="ezoic-pub-ad-placeholder-132" style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px;"></span></h1><p class="post-meta" style="background-color: white; border-bottom-color: rgb(242, 242, 242); border-bottom-style: solid; border-image: initial; border-left-color: initial; border-left-style: initial; border-right-color: initial; border-right-style: initial; border-top-color: initial; border-top-style: initial; border-width: 0px 0px 1px; font-family: Arial, Helvetica, sans-serif; font-size: 10px; list-style: none; margin: 7px 0px 10px; outline: none; padding: 0px 0px 5px;"></p><div class="clear" style="background-color: white; border: 0px; clear: both; color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 18px; list-style: none; margin: 0px; outline: none; padding: 0px;"></div><div class="entry" style="background-color: white; border: 0px; font-family: Arial, Helvetica, sans-serif; font-size: 18px; line-height: 1.5; list-style: none; margin: 0px; outline: none; padding: 0px;"><div class="a2638f0ebb46d89a05e8b0228ad091aa" data-index="1" style="border: 0px; float: none; list-style: none; margin: 1px 0px; outline: none; padding: 0px; text-align: center;"><span id="ezoic-pub-ad-placeholder-102" style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px;"></span></div><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">Confira aqui a resolução comentada da questão 137 (projeção ortogonal) do caderno amarelo, matéria de MATEMÁTICA E SUAS TECNOLOGIAS.</p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><br /><strong style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px;">Questão 137.</strong> Em um jogo desenvolvido para uso no computador, objetos tridimensionais vão descendo do alto da tela até alcançarem o plano da base. O usuário pode mover ou girar cada objeto durante sua descida para posicioná-lo convenientemente no plano horizontal. Um desses objetos é formado pela justaposição de quatro cubos idênticos, formando assim um sólido rígido, como ilustrado na figura.</p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEga8RnlO-FvKAgL3k8mV9pw9nE2QhLxPPlo6cXP-Qw4Vt0M_NJ067T3KwUFUt_wk_dmQQSRqoEUXoR3xge1qExXBrO9rnA_whRjSC9BDu0oqnLZcBL591-ieH2Ff8kSkPsBS1Z-9EJC_Cz6-kZRApLKuixOd13tFk1RyU70i3PtOu419G4HeCgcHPWC" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="131" data-original-width="125" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEga8RnlO-FvKAgL3k8mV9pw9nE2QhLxPPlo6cXP-Qw4Vt0M_NJ067T3KwUFUt_wk_dmQQSRqoEUXoR3xge1qExXBrO9rnA_whRjSC9BDu0oqnLZcBL591-ieH2Ff8kSkPsBS1Z-9EJC_Cz6-kZRApLKuixOd13tFk1RyU70i3PtOu419G4HeCgcHPWC" width="229" /></a></div><p></p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">Para facilitar a movimentação do objeto pelo usuário, o programa projeta ortogonalmente esse sólido em três planos quadriculados perpendiculares entre si, durante sua descida.</p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">A figura que apresenta uma possível posição desse sólido, com suas respectivas projeções ortogonais sobre os três planos citados, durante sua descida é:</p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi1aGx-iHus4s7IJLJJSSldfSYlfyTsvmJgOUx652DGsP9VnBvL4wuW6E6JGu2M8H8vHqMq9WerMAGout9feGDeLDe-b1NVvWPqinwQ5u5e8QwobCO92vyE2l9YIW8xxPLli8tlPiEX2XjnQp0yT5i4N2u6LnLVHKgjLN56eL2pwxOJjcaNGn0BgUeq" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="539" data-original-width="541" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEi1aGx-iHus4s7IJLJJSSldfSYlfyTsvmJgOUx652DGsP9VnBvL4wuW6E6JGu2M8H8vHqMq9WerMAGout9feGDeLDe-b1NVvWPqinwQ5u5e8QwobCO92vyE2l9YIW8xxPLli8tlPiEX2XjnQp0yT5i4N2u6LnLVHKgjLN56eL2pwxOJjcaNGn0BgUeq" width="241" /></a></div><br /><p></p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">Resolução: Podemos fazer a projeção ortogonal da figura tridimensional nos três planos apenas na alternativa E, conforme figura abaixo.</p><figure class="wp-block-image size-large" style="border: 0px; list-style: none; margin: 0px 0px 1em; outline: none; padding: 0px;"><a href="https://cdn-0.sabermatematica.com.br/wp-content/uploads/2021/05/enem-2020-prova-resolvida-questao-projecao-ortogonal.png" style="border: 0px; color: #444444; list-style: none; margin: 0px; outline: none; padding: 0px; text-decoration-line: none; transition: all 0.2s ease-in-out 0s;"><img alt="" class="wp-image-12756" height="306" loading="lazy" sizes="(max-width: 365px) 100vw, 365px" src="https://cdn-0.sabermatematica.com.br/wp-content/uploads/2021/05/enem-2020-prova-resolvida-questao-projecao-ortogonal.png" srcset="https://cdn-0.sabermatematica.com.br/wp-content/uploads/2021/05/enem-2020-prova-resolvida-questao-projecao-ortogonal.png 365w, https://cdn-0.sabermatematica.com.br/wp-content/uploads/2021/05/enem-2020-prova-resolvida-questao-projecao-ortogonal-300x252.png 300w" style="border-radius: inherit; border: 0px; height: auto; list-style: none; margin: 0px; max-width: 100%; outline: none; padding: 0px;" width="365" /></a></figure><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">Resposta: E</p><h3 class="post-sub-title" itemprop="name" style="border: 0px none; color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-weight: normal; list-style: none; margin: 0px 0px 10px; outline: none; padding: 0px; position: relative;"><span face="arial, helvetica, sans-serif" style="font-size: small;">Projeções ortogonais são figuras formadas em um plano a partir de outras figuras fora dele.</span></h3><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><span face="arial, helvetica, sans-serif" style="color: #444444; font-size: 13px;"><span style="text-align: justify;">A </span><strong style="border: 0px none; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: justify;">projeção ortogonal</strong><span style="text-align: justify;"> das figuras geométricas sobre um </span><strong style="border: 0px none; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: justify;">plano</strong><span style="text-align: justify;"> pode ser comparada à sombra desse mesmo objeto no horário em que o sol está mais alto no dia. Nesse horário, a sombra possui dimensões iguais às do objeto, mas não possui profundidade alguma.</span></span><br style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px;" /><span face="arial, helvetica, sans-serif" style="color: #444444; font-size: 13px;"><br /></span><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px;"></span><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif">Como os sólidos são constituídos de várias superfícies, as projeções ortogonais são utilizadas para representar as formas tridimensionais através de figuras planas.</span></span></p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif"></span></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjgXCobfaSJwwGeI8usR2-xXivfi-k4ZIUgw0P7udL3xmzPSKj3DErpXlrB3x33ZnlCr6X9drT14aTXB0XeumhKCvKKqiVqyFmBzLGRRnsxdaZLD9XCqD-OWuFt76x5bpm4at3cmjdYf40i83F7dNztpMkE7aJmicfP1pZHLx6g9sOHvhl8-sLAr88h" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="400" data-original-width="379" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjgXCobfaSJwwGeI8usR2-xXivfi-k4ZIUgw0P7udL3xmzPSKj3DErpXlrB3x33ZnlCr6X9drT14aTXB0XeumhKCvKKqiVqyFmBzLGRRnsxdaZLD9XCqD-OWuFt76x5bpm4at3cmjdYf40i83F7dNztpMkE7aJmicfP1pZHLx6g9sOHvhl8-sLAr88h" width="227" /></a></div><br /><p></p><div style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; text-align: center;"><span face="arial, helvetica, sans-serif"><span style="font-size: x-small; text-align: justify; white-space: pre-wrap;"><b>As vistas são: frontal, lateral e superior</b></span></span></div><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><span face="arial, helvetica, sans-serif" style="color: #444444; font-size: 13px;"><span style="text-align: justify; white-space: pre-wrap;"><br /></span></span><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px;"></span><br style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px;" /></p><div class="separator" style="clear: both; color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; text-align: center;"></div><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif">Na projeção feita no plano vertical aparecem o comprimento e a altura do objeto e na projeção feita no plano horizontal aparecem o comprimento e a largura do mesmo objeto. </span></span><br style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px;" /><span face="arial, helvetica, sans-serif" style="color: #444444; font-size: 13px;"><span style="text-align: justify; white-space: pre-wrap;"><br /></span></span><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif">Assim sendo, pode-se concluir que duas vistas, apesar de representarem as três dimensões, podem não ser suficientes para representar a forma do objeto desenhado. Uma forma mais simples de raciocínio para utilização das projeções ortogonais em planos perpendiculares entre si é obter as vistas (projeções resultantes) fazendo-se o rebatimento direto da peça que está sendo desenhada.</span></span></p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif"></span></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgSvVMed289W11UxOTIyS-Emetr6hkFeLS8TCNtTZ-WvW_ue0m7ObSctuojFslkkzo62YR0OldDqp54GdKRNEv0Feri8KsTPwQlEaBZxrHS6ot2Yp19ghcUK7dVJ7elzk1SL22kECISFl43DOca_fu18Mz4krW2d4fZozEyO1KGlozfEn-npdSM54Gy" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="192" data-original-width="400" height="207" src="https://blogger.googleusercontent.com/img/a/AVvXsEgSvVMed289W11UxOTIyS-Emetr6hkFeLS8TCNtTZ-WvW_ue0m7ObSctuojFslkkzo62YR0OldDqp54GdKRNEv0Feri8KsTPwQlEaBZxrHS6ot2Yp19ghcUK7dVJ7elzk1SL22kECISFl43DOca_fu18Mz4krW2d4fZozEyO1KGlozfEn-npdSM54Gy=w432-h207" width="432" /></a></div><br /><span face="Arial, Tahoma, Helvetica, FreeSans, sans-serif" style="color: #444444; font-size: 13px; text-align: justify; white-space: pre-wrap;"><span face="arial, helvetica, sans-serif">Observações:</span></span><br style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px;" /><p></p><ul style="color: #444444; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; font-size: 13px; line-height: 1.4; list-style-image: initial; list-style-position: initial; margin: 0.5em 0px; padding: 0px 2.5em;"><li style="border: none; margin: 0px 0px 0.25em; padding: 0.25em 0px;"><span face="arial, helvetica, sans-serif"><span style="white-space: pre-wrap;">Normalmente a vista frontal é a vista principal da peça;</span></span></li><li style="border: none; margin: 0px 0px 0.25em; padding: 0.25em 0px;"><span face="arial, helvetica, sans-serif"><span style="white-space: pre-wrap;">A distância entre as vistas deve ser igual e proporcional ao tamanho do desenho;<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/BrcBzSYeLrE" width="320" youtube-src-id="BrcBzSYeLrE"></iframe></div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/FJEyyw3T9Vo" width="320" youtube-src-id="FJEyyw3T9Vo"></iframe></div><br /><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;">Exercícios:</div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;">1) Fazer a projeção ortogonal de um dado em um papel 3D:</div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2jSnzGzj4YLpCdHl5OR_UIRajzGjhRJaJC5tpAi3awHc2__tCOsAiRqm_Z9v5PgGfj4onqdKo4I3DSs6eaSloYX0iZCjPTDhsKTpxEqtX419staMk40Oq7zkfjU_xTMO9b7hWXNnMjFvY/s1600/proje%25C3%25A7%25C3%25A3o_v7.png" style="color: #0aaa05; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" height="305" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2jSnzGzj4YLpCdHl5OR_UIRajzGjhRJaJC5tpAi3awHc2__tCOsAiRqm_Z9v5PgGfj4onqdKo4I3DSs6eaSloYX0iZCjPTDhsKTpxEqtX419staMk40Oq7zkfjU_xTMO9b7hWXNnMjFvY/s400/proje%25C3%25A7%25C3%25A3o_v7.png" style="background: rgba(0, 0, 0, 0); border-radius: 0px; border: 1px solid transparent; box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; padding: 8px; position: relative;" width="400" /></a></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;">2) Fazer as projeções ortogonais dos desenhos abaixo:</div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEgo8kv5rLdJ8ddGbMz3i7N8wJke_Faq_S231BiD8tbK5O10xrTx2i2EbtZcc9ad0mjNUzVvzmyHaC4-87ZAoP4N-H41eLnJV6oXH51khoIbksGcdKq3xE9OwXFAKTSicppDrFkMbRP95u/s1600/proje%25C3%25A7%25C3%25A3o_v4.png" style="color: #0aaa05; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjEgo8kv5rLdJ8ddGbMz3i7N8wJke_Faq_S231BiD8tbK5O10xrTx2i2EbtZcc9ad0mjNUzVvzmyHaC4-87ZAoP4N-H41eLnJV6oXH51khoIbksGcdKq3xE9OwXFAKTSicppDrFkMbRP95u/s400/proje%25C3%25A7%25C3%25A3o_v4.png" style="background: rgba(0, 0, 0, 0); border-radius: 0px; border: 1px solid transparent; box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; padding: 8px; position: relative;" width="175" /></a></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;">3) Complete à mão livre as projeções dos desenhos abaixo: </div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIIgM3Pikx4YufDfPcgKC74mikc5EgvhBbTkViXdu8i4hG2TQMkmyq-ph6MBET0zv53_p6wfjCN-MqZZuyXwJ9PHh7LJXFxBCrtLYEO7Pj6Taw_zWYAE-WxZafgkOO6aQ-lHDvOPG9wgMt/s1600/proje%25C3%25A7%25C3%25A3o_v5.png" style="color: #0aaa05; margin-left: 1em; margin-right: 1em; text-decoration-line: none;"><img border="0" height="355" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIIgM3Pikx4YufDfPcgKC74mikc5EgvhBbTkViXdu8i4hG2TQMkmyq-ph6MBET0zv53_p6wfjCN-MqZZuyXwJ9PHh7LJXFxBCrtLYEO7Pj6Taw_zWYAE-WxZafgkOO6aQ-lHDvOPG9wgMt/s400/proje%25C3%25A7%25C3%25A3o_v5.png" style="background: rgba(0, 0, 0, 0); border-radius: 0px; border: 1px solid transparent; box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; padding: 8px; position: relative;" width="400" /></a></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;">4) Complete as projeções:</div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; white-space: normal;"><br /></div><div class="separator" style="clear: both; font-family: Arial, Tahoma, Helvetica, FreeSans, sans-serif; text-align: center; white-space: normal;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbI0W8daYF-Dz9oWRkX6W93TS_DQiVStm2D889F3-5OmynR9Fl_7Vzpr9HL4brLS7HdPAaYwR1H1HYohnBT5FnJ7Lqc9li1Ztyp0drWFp3oIE6R5_YCz1WCiYShtDTJycP21MJgmVzFVVH/s1600/proje%25C3%25A7%25C3%25A3o_v6.png" style="color: lime; margin-left: 1em; margin-right: 1em;"><img border="0" height="351" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbI0W8daYF-Dz9oWRkX6W93TS_DQiVStm2D889F3-5OmynR9Fl_7Vzpr9HL4brLS7HdPAaYwR1H1HYohnBT5FnJ7Lqc9li1Ztyp0drWFp3oIE6R5_YCz1WCiYShtDTJycP21MJgmVzFVVH/s400/proje%25C3%25A7%25C3%25A3o_v6.png" style="background: rgba(0, 0, 0, 0); border-radius: 0px; border: 1px solid transparent; box-shadow: rgba(0, 0, 0, 0.2) 0px 0px 0px; padding: 8px; position: relative;" width="400" /></a></div></span></span></li></ul><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;">5) Com blocos de montar tipo Lego vc deverá fazer uma construção de sua escolha para posteriormente reproduzir todas as suas projeções.</p><p style="border: 0px; list-style: none; margin: 0px; outline: none; padding: 0px 0px 1em;"><br /></p></div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-18940134874701325822022-01-30T17:59:00.002-03:002022-01-30T17:59:38.702-03:00Geometria no dia a dia <p> </p><p><span style="font-family: arial; font-size: medium;"><span style="background-color: white; color: #333333; text-indent: 56px;">A geometria é um ramo da matemática que estuda formas, tamanho e posição relativa de figuras e suas propriedades no espaço. É uma das áreas mais antigas de estudos da matemática e surgiu da necessidade dos povos de medir terras, construir moradias, templos, monumentos, etc. (Oliva, 1981).</span><span style="background-color: white; color: #333333; text-indent: 56px;">A geometria que o seu significado e “geo” terra, “metria” medir logo vemos que geometria significa medir terra. </span></span></p><p><span style="font-family: arial; font-size: medium;"><span style="background-color: white; color: #333333; text-indent: 56px;"></span></span></p><div class="separator" style="clear: both; text-align: center;"><span style="font-family: arial; font-size: medium;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiAGbncx50fY1mREbD_dI-uZLLrcslIOaU13NV_n58nLBQmiJ4-cFL-kO3WnxjTrE-vdaNRJi5pIJ0zC_F7tRCj8g-6EtnbIVwNQRDW7KJfwKhax2V3RlCGrOshCapW3KfT1wlGwrjKWBcpLL4VIVvjgWP3UEVdC1V0oiJbf1afSzBpF1VLJpqZztw4" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="528" data-original-width="964" height="213" src="https://blogger.googleusercontent.com/img/a/AVvXsEiAGbncx50fY1mREbD_dI-uZLLrcslIOaU13NV_n58nLBQmiJ4-cFL-kO3WnxjTrE-vdaNRJi5pIJ0zC_F7tRCj8g-6EtnbIVwNQRDW7KJfwKhax2V3RlCGrOshCapW3KfT1wlGwrjKWBcpLL4VIVvjgWP3UEVdC1V0oiJbf1afSzBpF1VLJpqZztw4=w390-h213" width="390" /></a></span></div><span style="font-family: arial; font-size: medium;"><br /><br /></span><p></p><div style="background-color: white; box-sizing: border-box;"><span style="font-family: arial; font-size: medium;">Outro povo que entendia bem do assunto era o egípcio. Prova disso são as construções das pirâmides, que existem até hoje.</span></div><div style="text-indent: 56px;"><div style="background-color: white; box-sizing: border-box; text-indent: 0px;"><span style="font-family: arial; font-size: medium;"> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgJ0Y9tnHgDCx7OS5Kr52F59Hmo5T8SErnVKJPJ-kB97dACEnzwuUMBjOwlyB8ACSobl8gVo5AnkI13495oypgsh3ks56e7D5Mbm26p678E13xPV5Q7i0qie9C6ieJy0HfrK8QYEQIdJvkEFvlSwUX0BpSadJT6c9bktC2GIBnbxO7E9_O46iZUXRbT" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="630" data-original-width="1200" height="212" src="https://blogger.googleusercontent.com/img/a/AVvXsEgJ0Y9tnHgDCx7OS5Kr52F59Hmo5T8SErnVKJPJ-kB97dACEnzwuUMBjOwlyB8ACSobl8gVo5AnkI13495oypgsh3ks56e7D5Mbm26p678E13xPV5Q7i0qie9C6ieJy0HfrK8QYEQIdJvkEFvlSwUX0BpSadJT6c9bktC2GIBnbxO7E9_O46iZUXRbT=w403-h212" width="403" /></a></div><br /></span></div></div><h3 style="background-color: white; box-sizing: border-box; color: #02879a; font-family: "Source Sans Pro", sans-serif; font-size: 24px; font-weight: 400; line-height: 1.1; margin-bottom: 30px; margin-top: 55px;">Geometria no nosso dia a dia</h3><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">Como falamos no início deste artigo, as<span style="box-sizing: border-box; font-weight: 700;"> formas geométricas</span> estão por todas as partes. Placas de trânsito, casas e prédios são alguns dos exemplos em que a geometria está presente. Outro exemplo muito conhecido é a nossa bandeira nacional. Nela, é possível reconhecer várias formas como o retângulo, o losango e o círculo - todas essas são figuras que fazem parte da geometria.</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;"> </div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">Figuras simétricas e assimétricas são maneiras divertidas de mostrar às crianças a<span style="box-sizing: border-box; font-weight: 700;"> geometria no nosso dia a dia</span>. Estimule-as a identificar e recortar imagens em cartazes e revistas. Em seguida, peça para que elas colem essas imagens nos cadernos e mostrem a posição do eixo (horizontal, vertical ou diagonal). Outros objetos em que vemos<span style="box-sizing: border-box; font-weight: 700;"> formas geométricas</span> são as caixas e embalagens de diversos tamanhos e formas.</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;"> </div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">Quando a criança consegue entender a<span style="box-sizing: border-box; font-weight: 700;"> teoria na prática</span>, o aprendizado fica mais fácil. Isso porque o assunto começa a fazer mais sentido, deixando de ser algo apenas obrigatório.</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;"> </div><h3 style="background-color: white; box-sizing: border-box; color: #02879a; font-family: "Source Sans Pro", sans-serif; font-size: 24px; font-weight: 400; line-height: 1.1; margin-bottom: 30px; margin-top: 55px;">Aprender deve ser envolvente</h3><p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="352" src="https://www.youtube.com/embed/_7yXoZnSTBM" width="423" youtube-src-id="_7yXoZnSTBM"></iframe></div><span style="background-color: #f9f9f9; color: #030303; font-family: Roboto, Arial, sans-serif; font-size: 14px; white-space: pre-wrap;">O vídeo retrata a importância da Geometria no cotidiano, mostra que as formas geométricas estão presentes em vários contextos do dia a dia, inclusive na natureza. <div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/XuJpwCFL1xA" width="320" youtube-src-id="XuJpwCFL1xA"></iframe></div></span><p></p><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">Algumas propostas de atividades práticas são:</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">• Passear próximo à instituição de ensino e identificar as diferentes formas de construção e terrenos;</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">• Ter aulas no pátio para encontrar exemplos dentro da escola;</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">• Recortar e colar imagens de livros, revistas e cartazes.</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;"> </div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;">É importante que os pais optem por colégios que ensinam de forma diferenciada e envolvente.</div><div style="background-color: white; box-sizing: border-box; color: #8c8c8c; font-family: "Work Sans", sans-serif; font-size: 18px;"> </div>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-47776222313827878682022-01-30T17:29:00.000-03:002022-01-30T17:29:05.969-03:00Ilusão de ótica: Em nossas vidas, há muita coisa que aparenta ter uma forma, mas é aquela velha história de julgar o livro pela capa, sabem?<p></p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="353" src="https://www.youtube.com/embed/bBK7Re4N_aQ" width="425" youtube-src-id="bBK7Re4N_aQ"></iframe></div><br /><span style="font-family: arial;"> <span style="background-color: #f9f9f9; color: #030303; white-space: pre-wrap;">Você gosta de ilusões óticas? Como elas são criadas? Aqueles que fazem isso usam combinações de cores, luzes ou padrões específicos que podem realmente enganar o cérebro. Então prepare-se para testar sua percepção visual com este desafio divertido!</span></span><p></p><p><span style="background-color: white; color: #464646; text-align: justify;"><span style="font-family: arial;">Interessante como há brechas em nossa forma de perceber o mundo; uma delas é causada pela ilusão de ótica. Isso acontece quando estamos diante de certas imagens específicas e nosso cérebro interpreta erroneamente as informações que a visão lhe envia sobre elas, fazendo-nos ver coisas ou alterações que não existem.</span></span></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-55512776514082366882022-01-30T16:54:00.001-03:002022-01-30T16:54:10.899-03:00Exercícios de sondagem Adição<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhbkmib-hrBZwupQJ-f8KdQJjgbPRGsPs6QvrpFlrD47a06uj5Tg9gWS9ZhP7WEArkYtcXIxRIZ9AKJeChSRWM0FLIyOPh8JzkHayDAg4PEtiG1ivreygQvLkksorapJfni_oFGBxawLgr5YJviFWKEdXm7DRFt-Yk5raZJeMMi4K7SPrtHBoZXfxnO=s1001" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1001" data-original-width="768" height="520" src="https://blogger.googleusercontent.com/img/a/AVvXsEhbkmib-hrBZwupQJ-f8KdQJjgbPRGsPs6QvrpFlrD47a06uj5Tg9gWS9ZhP7WEArkYtcXIxRIZ9AKJeChSRWM0FLIyOPh8JzkHayDAg4PEtiG1ivreygQvLkksorapJfni_oFGBxawLgr5YJviFWKEdXm7DRFt-Yk5raZJeMMi4K7SPrtHBoZXfxnO=w400-h520" width="400" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><p></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-3505148601198810242022-01-30T16:23:00.002-03:002022-01-30T16:23:32.443-03:00Memes matemáticos - Dinâmica <p> Utilizar memes na discussão da importância da matemática em nossas vidas.</p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgF6pCxiAVl3SrdwvMEoEc5Ul9xQL5Xl-P3dwdO-E591Ja4Iq_nEK8_Jn864F_ch1RYzGoOHux5K3M4FeUSzoL-e_Uv0Tbh_9ngsegh3J1jcAnroCjMZEkNB4wkqzisMlzP0bOkRd9QGJ-G9aHBWSA248_yaYLnQ6TbD7bxosRjF5jpY3YY2VN1E_gP=s586" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="586" data-original-width="500" height="377" src="https://blogger.googleusercontent.com/img/a/AVvXsEgF6pCxiAVl3SrdwvMEoEc5Ul9xQL5Xl-P3dwdO-E591Ja4Iq_nEK8_Jn864F_ch1RYzGoOHux5K3M4FeUSzoL-e_Uv0Tbh_9ngsegh3J1jcAnroCjMZEkNB4wkqzisMlzP0bOkRd9QGJ-G9aHBWSA248_yaYLnQ6TbD7bxosRjF5jpY3YY2VN1E_gP=w349-h377" width="349" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhjC5XLw6RvfDN5RibXdycvcHRsmQEnFgWvFTIYduW0q7mbugmnxzUM0fy815GuGVRE5lFlMT21-PuxNtqiuXEQKj6E85R339ptFDi_gtdn7KX3w7QjiNggWfvQKvgeJTA6Mt_pFdbng8e5opD2vR0kva4NhVaBfJTq-M-skKbuOHNJbooZizIVRV5t=s792" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="792" data-original-width="736" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhjC5XLw6RvfDN5RibXdycvcHRsmQEnFgWvFTIYduW0q7mbugmnxzUM0fy815GuGVRE5lFlMT21-PuxNtqiuXEQKj6E85R339ptFDi_gtdn7KX3w7QjiNggWfvQKvgeJTA6Mt_pFdbng8e5opD2vR0kva4NhVaBfJTq-M-skKbuOHNJbooZizIVRV5t=s320" width="297" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhdF0ES9tV5UQOgKz8qIfRNgwKpIj6JQGYMmnnXbwtmpJ7oOWQryYiewAQ1IvV91EmM5ebuInPmAuSn37xJDKinOh72U6Inq4Cn0mFhtkKXap2H4JEKrVoNWg6sLDLYGNMh-BuiXNeuVA-fdef2Ld-LaHjT7E1x5cczrMK1XgncYuKdqOAAiPz0jnGX=s1013" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1013" data-original-width="720" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhdF0ES9tV5UQOgKz8qIfRNgwKpIj6JQGYMmnnXbwtmpJ7oOWQryYiewAQ1IvV91EmM5ebuInPmAuSn37xJDKinOh72U6Inq4Cn0mFhtkKXap2H4JEKrVoNWg6sLDLYGNMh-BuiXNeuVA-fdef2Ld-LaHjT7E1x5cczrMK1XgncYuKdqOAAiPz0jnGX=s320" width="227" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div></div><p></p><p class="par_texto" style="font-family: arial; font-size: 17px; letter-spacing: -0.01em; line-height: 1.45em; margin: 25px 0px; outline: none; padding: 0px;"><em style="margin: 0px; padding: 0px;">“Ana, Beatriz, Cláudia, Daniela e Érica foram visitar a vovó Margarida. Beatriz chegou antes de Ana e depois de Daniela. Já Cláudia, Daniela e Érica chegaram uma em seguida da outra, nessa ordem. Quem foi a primeira a chegar?”</em></p><div class="separator" style="clear: both; text-align: center;"><p class="par_texto" style="font-family: arial; font-size: 17px; letter-spacing: -0.01em; line-height: 1.45em; margin: 25px 0px; outline: none; padding: 0px; text-align: start;">A questão acima foi considerada a mais polêmica da primeira fase da Olimpíada Brasileira de Matemática das Escolas Públicas (OBMEP), que começou nesta terça-feira (21).</p><p class="par_texto" style="font-family: arial; font-size: 17px; letter-spacing: -0.01em; line-height: 1.45em; margin: 25px 0px; outline: none; padding: 0px; text-align: start;">Estudantes ficaram confusos e a questão acabou virando meme. </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgsaL43nwDNC2MNWmSUkOavowHknA-3-djnQS2nMD2zsltOli9nabMQjkdZ_h6Z8FD_NPI6Y5f130moSD26JXKJRLIfqMwFZJPLuuDeHXKvUUZw7dL-yTxGiPeHlDW-XbX2f8eppI0c0KjgOy8hb9OK9kB_by1wc5HkG3eAwWgoWTWw22e95L6eDwm7=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgsaL43nwDNC2MNWmSUkOavowHknA-3-djnQS2nMD2zsltOli9nabMQjkdZ_h6Z8FD_NPI6Y5f130moSD26JXKJRLIfqMwFZJPLuuDeHXKvUUZw7dL-yTxGiPeHlDW-XbX2f8eppI0c0KjgOy8hb9OK9kB_by1wc5HkG3eAwWgoWTWw22e95L6eDwm7=s320" width="320" /></a></div><br /><p></p><p class="par_texto" style="font-family: arial; font-size: 17px; letter-spacing: -0.01em; line-height: 1.45em; margin: 25px 0px; outline: none; padding: 0px; text-align: start;">Outros memes podem ser utilizados !!!!!!</p><p class="par_texto" style="font-family: arial; font-size: 17px; letter-spacing: -0.01em; line-height: 1.45em; margin: 25px 0px; outline: none; padding: 0px; text-align: start;"><br /><br /></p><br /></div><p><br /><br /><br /><br /><br /></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0tag:blogger.com,1999:blog-1199892125383951590.post-23517598892427973182022-01-30T15:36:00.005-03:002022-01-30T15:36:40.059-03:00Redação musicada - dinâmica<p> A proposta dessa dinâmica é pedir aos alunos que façam uma redação de acordo com os sentimentos percebidos diante de determinadas músicas que o professor irá tocar.</p><p>Ao final os alunos entregaram a produção realizada.</p><p>Sugestões de músicas:</p><p>Canon em rè maior</p><p>Noturno em Mi bemol</p><p>Instrumentais dos Filmes Titatic e Coração Valente de James Honer etc...</p><p><br /></p>doutormatematicohttp://www.blogger.com/profile/09530252239343013588noreply@blogger.com0