{"id":25173,"date":"2023-04-18T10:41:28","date_gmt":"2023-04-18T09:41:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25173"},"modified":"2023-04-29T19:19:23","modified_gmt":"2023-04-29T18:19:23","slug":"considera-os-pontos-a-b-e-c","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25173","title":{"rendered":"Considera os pontos A, B e C"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25173' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25173' class='GTTabs_curr'><a  id=\"25173_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25173' ><a  id=\"25173_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_25173'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera, num referencial cartesiano, os pontos \\(A\\left( {a,2} \\right)\\), \\(B\\left( {3,a} \\right)\\) e \\(C\\left( {7,5} \\right)\\), sendo <em>a<\/em> um n\u00famero real.<\/p>\n<ol>\n<li>Sabendo que a reta AB \u00e9 vertical, qual \u00e9 o valor de a?<\/li>\n<li>Haver\u00e1 algum valor de <em>a<\/em> para o qual a reta BC seja vertical?<\/li>\n<li>Supondo que a reta AC \u00e9 vertical, indica uma equa\u00e7\u00e3o para essa reta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25173' onClick='GTTabs_show(1,25173)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25173'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Considera, num referencial cartesiano, os pontos \\(A\\left( {a,2} \\right)\\), \\(B\\left( {3,a} \\right)\\) e \\(C\\left( {7,5} \\right)\\), sendo <em>a<\/em> um n\u00famero real.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<ol>\n<li>Se a reta AB \u00e9 vertical, ent\u00e3o os pontos A e B possuem igual abcissa. Logo, \\(a = 3\\).<br \/><br \/><\/li>\n<li>N\u00e3o haver\u00e1 qualquer valor de <em>a<\/em> para o qual a reta BC seja vertical, pois os pontos B e C possuem abcissas diferentes.<br \/><br \/><\/li>\n<li>Se a reta AC \u00e9 vertical, ent\u00e3o \\(a = 7\\) e uma equa\u00e7\u00e3o para essa reta \u00e9 \\(x = 7\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25173' onClick='GTTabs_show(0,25173)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera, num referencial cartesiano, os pontos \\(A\\left( {a,2} \\right)\\), \\(B\\left( {3,a} \\right)\\) e \\(C\\left( {7,5} \\right)\\), sendo a um n\u00famero real. Sabendo que a reta AB \u00e9 vertical, qual \u00e9 o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19189,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,344,712],"series":[],"class_list":["post-25173","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-grafico","tag-retas-paralelas-aos-eixos-coordenados"],"views":102,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25173"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25173\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25173"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}