{"id":220952,"date":"2024-06-26T20:56:04","date_gmt":"2024-06-26T23:56:04","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?page_id=220952"},"modified":"2024-06-26T20:56:04","modified_gmt":"2024-06-26T23:56:04","slug":"a-problema-para-ajudar-na-escola-um-calculo-estranho","status":"publish","type":"page","link":"https:\/\/clubes.obmep.org.br\/blog\/a-problema-para-ajudar-na-escola-um-calculo-estranho\/","title":{"rendered":"(A) Problema para ajudar na escola: Um c\u00e1lculo estranho"},"content":{"rendered":"<p class=\"ti3\"  style=\"text-align:center;\">Clique no bot\u00e3o abaixo para visualizar o problema.<\/p>\n<div style=\"text-align:center;margin-top:10px;\">\n<input class=\"bo1 c1 cb13\" style=\"width:150px;\" value=\"Problema\" title=\"Clique aqui\" type=\"button\" onclick=    \"if(this.parentNode.getElementsByTagName('div')[0].style.display != ''){this.parentNode.getElementsByTagName('div')[0].style.display = '';this.value = 'Ocultar';} else{this.parentNode.getElementsByTagName('div')[0].style.display = 'none'; this.value = 'Problema';}\" \/>  <\/p>\n<div style=\"display: none;\">\n<p style=\"margin:10px\">\n<div class=\"g1n\" style=\"line-height:25px; margin-bottom:40px;\">\n<p class=\"tit\" style=\"line-height:20px;margin:10px\">Problema<br \/>\n<span style=\"font-size:12px;color:#FF8C00;\"> (A partir do 7\u00ba ano do E. F.- <span style=\"font-weight: normal;\"> N\u00edvel de dificuldade: Muito Dif\u00edcil<\/span>)<\/span><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 20px;border: 0 none\"\/>\nSe<\/p>\n<p style=\"margin:20px;\">\n<ul><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/06\/prob494.png\" style=\"border: none; \"alt=\"\" width=\"198\" height=\"125\" class=\"alignnone size-full wp-image-156956\" \/>,<\/ul>\n<p style=\"margin:10px;\">\n<p>calcule<\/p>\n<ul><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/06\/prob494_1.png\" style=\"border: none;\" alt=\"\" width=\"90\" height=\"89\" class=\"alignnone size-full wp-image-156955\" \/>.<\/ul>\n<p style=\"margin:10px;\">\n<p style=\"font-size: 12px;text-align:right;line-height:10px;\">Adaptado de <strong> Matem\u00e1tica1.com<\/strong>.<\/p>\n<\/div>\n<p style=\"margin:40px\">\n<div class=\"g1n\" style=\"line-height:30px;\">\n<p class=\"tit\" style=\"line-height:30px;margin:10px\">Solu\u00e7\u00e3o <\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 1px; margin-bottom: 20px;border: 0 none\"\/>\nSubstituindo<br \/>\n<span style=\"padding-left:40px\"><\/span> <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_2.png\" alt=\"\" width=\"58\" height=\"56\" class=\"alignnone size-full wp-image-170487\" \/><br \/>\nem<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_3.png\" alt=\"\" width=\"181\" height=\"55\" class=\"alignnone size-full wp-image-170490\" \/>,<br \/>\nsegue que:<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_5.png\" alt=\"\" width=\"251\" height=\"77\" class=\"alignnone size-full wp-image-170499\" \/>.<br \/>\nMas, por hip\u00f3tese, sabemos que<br \/>\n<span style=\"padding-left:40px\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_14.png\" alt=\"\" width=\"204\" height=\"71\" class=\"alignnone size-full wp-image-170516\" \/><\/span><br \/>\nlogo:<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_15.png\" alt=\"\" width=\"248\" height=\"174\" class=\"alignnone size-full wp-image-170517\" \/><br \/>\nSubstituindo [tex]a=5[\/tex] na \u00faltima igualdade obtida, segue que:<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_10.png\" alt=\"\" width=\"195\" height=\"104\" class=\"alignnone size-full wp-image-170508\" \/><br \/>\ne, portanto, de<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_13.png\" alt=\"\" width=\"190\" height=\"54\" class=\"alignnone size-full wp-image-170512\" \/><br \/>\nconclu\u00edmos que:<br \/>\n<span style=\"padding-left:40px\"><\/span><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/prob494_12.png\" alt=\"\" width=\"253\" height=\"271\" class=\"alignnone size-full wp-image-170510\" \/><\/p>\n<hr style=\"height:1px; width:100%;background-color:#800000; margin-top: 10px; margin-bottom: 15px;border: 0 none\"\/>\n<p class=\"g2\" style=\"line-height:20px;\">Solu\u00e7\u00e3o elaborada pelos <strong>Moderadores do Blog<\/strong>.<\/p>\n<\/div>\n<p style=\"margin:20px\">\n<table style=\" height:auto; margin-left: auto; margin-right: auto;width:640px;\">\n<tr>\n<td class=\"bf\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1001 alignright\" style=\"border: 0px;\" alt=\"\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"80\" height=\"115\" \/><\/td>\n<td class=\"bf\">\n<p class=\"fala\" style=\"width:520px;background-color: #FFF5EE; padding:10px; font-family: calibri; font-size: 13px;color: #1C1C1C; line-height: 20px; \"> Se for conveniente, voc\u00ea pode obter um arquivo PDF desta p\u00e1gina, com o problema e a solu\u00e7\u00e3o, clicando no bot\u00e3o abaixo.<br \/>\nVoc\u00ea pode abrir o arquivo diretamente no seu navegador (<em>Chrome<\/em>, <em>Edge<\/em>, <em>Firefox<\/em>, <em>Safari<\/em>, entre outros), mas tamb\u00e9m pode utilizar o software gratuito <em><strong>Adobe Acrobat Reader<\/strong><\/em>.<br \/>\nCaso o dispositivo que voc\u00ea est\u00e1 utilizando n\u00e3o tenha o <strong><em>Acrobat Reader<\/em><\/strong> instalado, \u00e9 s\u00f3 clicar <a href=\"http:\/\/get.adobe.com\/br\/reader\/\" rel=\"noopener\" target=\"_blank\"><strong>AQUI<\/strong><\/a> para fazer o download adequado ao seu dispositivo.<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<div style=\" float:right;  width: 100px;\">\n<p style=\"text-align: center; border-style: dotted; border-color :#FFFAFA; border-width :thin; width:90px;  height:40px;  padding: 5px; background-color: #800000;\">\n<a href=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2020\/11\/Um-c\u00e1lculo-estranho_cc.pdf\" title=\" Arquivo PDF\" download=\"Clubes_ Um c\u00e1lculo estranho.pdf\"><span style=\"color: #FFFAFA; font-family: georgia; font-size: 16px;\"><strong>Arquivo <\/strong><\/span><\/a>\n <\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Clique no bot\u00e3o abaixo para visualizar o problema. Problema (A partir do 7\u00ba ano do E. F.- N\u00edvel de dificuldade: Muito Dif\u00edcil) Se , calcule . Adaptado de Matem\u00e1tica1.com. Solu\u00e7\u00e3o Substituindo em , segue que: . Mas, por hip\u00f3tese, sabemos que logo: Substituindo [tex]a=5[\/tex] na \u00faltima igualdade obtida, segue que: e, portanto, de conclu\u00edmos que: &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/a-problema-para-ajudar-na-escola-um-calculo-estranho\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-onecolumn.php","meta":{"footnotes":""},"class_list":["post-220952","page","type-page","status-publish","hentry","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220952","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=220952"}],"version-history":[{"count":1,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220952\/revisions"}],"predecessor-version":[{"id":220953,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/pages\/220952\/revisions\/220953"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=220952"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}