{"id":24989,"date":"2023-04-13T12:02:53","date_gmt":"2023-04-13T11:02:53","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24989"},"modified":"2023-04-13T12:39:44","modified_gmt":"2023-04-13T11:39:44","slug":"determina-uma-equacao-da-reta-r","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24989","title":{"rendered":"Determina uma equa\u00e7\u00e3o da reta <i>r<\/i>"},"content":{"rendered":"<p><ul id='GTTabs_ul_24989' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24989' class='GTTabs_curr'><a  id=\"24989_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24989' ><a  id=\"24989_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_24989'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>No referencial cartesiano da figura, est\u00e1 representada uma reta <em>r<\/em>, n\u00e3o vertical, que passa na origem do referencial e no ponto \\(P\\left( {2,1;\\;2,31} \\right)\\).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24990\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24990\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" data-orig-size=\"257,238\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag164-T2-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" class=\"aligncenter wp-image-24990\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" alt=\"\" width=\"240\" height=\"222\" \/><\/a><\/p>\n<p>Determina uma equa\u00e7\u00e3o da reta <em>r<\/em>, utilizando o Teorema de Tales.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24989' onClick='GTTabs_show(1,24989)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24989'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>No referencial cartesiano da figura, est\u00e1 representada uma reta <em>r<\/em>, n\u00e3o vertical, que passa na origem do referencial e no ponto \\(P\\left( {2,1;\\;2,31} \\right)\\).<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24990\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24990\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" data-orig-size=\"257,238\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag164-T2-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" class=\"aligncenter wp-image-24990\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1.png\" alt=\"\" width=\"240\" height=\"222\" \/><\/a><\/p>\n<blockquote>\n<p>Determina uma equa\u00e7\u00e3o da reta <em>r<\/em>, utilizando o Teorema de Tales.<\/p>\n<\/blockquote>\n<p><br \/>Pelo Teorema de Tales, vem:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{\\frac{{2,31}}{a} = \\frac{{2,1}}{1}}&amp; \\Leftrightarrow &amp;{a = \\frac{{2,31 \\times 1}}{{2,1}}}\\\\{}&amp; \\Leftrightarrow &amp;{a = 1,1}\\end{array}\\]<\/p>\n<p>Como se trata de uma reta n\u00e3o vertical que passa na origem do referencial, <em>r<\/em> \u00e9 o gr\u00e1fico de uma fun\u00e7\u00e3o linear, da forma \\(f(x) = ax\\).<\/p>\n<p>Logo, \\(y = 1,1x\\) \u00e9 a equa\u00e7\u00e3o da reta <em>r<\/em>.<\/p>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24989' onClick='GTTabs_show(0,24989)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado No referencial cartesiano da figura, est\u00e1 representada uma reta r, n\u00e3o vertical, que passa na origem do referencial e no ponto \\(P\\left( {2,1;\\;2,31} \\right)\\). Determina uma equa\u00e7\u00e3o da reta r, utilizando&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24991,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,710,344],"series":[],"class_list":["post-24989","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-funcao-linear","tag-grafico"],"views":118,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag164-T2-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24989","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=24989"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24989\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24991"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24989"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}