{"id":6462,"date":"2011-02-01T02:11:13","date_gmt":"2011-02-01T02:11:13","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6462"},"modified":"2022-01-18T00:52:08","modified_gmt":"2022-01-18T00:52:08","slug":"equacoes-de-tres-rectas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6462","title":{"rendered":"Equa\u00e7\u00f5es de tr\u00eas retas"},"content":{"rendered":"<p><ul id='GTTabs_ul_6462' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6462' class='GTTabs_curr'><a  id=\"6462_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6462' ><a  id=\"6462_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_6462'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Determina as equa\u00e7\u00f5es das retas representadas no referencial cartesiano:<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6463\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6463\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\" data-orig-size=\"368,442\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Tr\u00eas rectas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\" class=\"aligncenter size-medium wp-image-6463\" title=\"Tr\u00eas rectas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-249x300.jpg\" alt=\"\" width=\"249\" height=\"300\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-249x300.jpg 249w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-124x150.jpg 124w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg 368w\" sizes=\"auto, (max-width: 249px) 100vw, 249px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6462' onClick='GTTabs_show(1,6462)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6462'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6463\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6463\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\" data-orig-size=\"368,442\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Tr\u00eas rectas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg\" class=\"alignright size-medium wp-image-6463\" title=\"Tr\u00eas rectas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-249x300.jpg\" alt=\"\" width=\"249\" height=\"300\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-249x300.jpg 249w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2-124x150.jpg 124w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8-pag71-2.jpg 368w\" sizes=\"auto, (max-width: 249px) 100vw, 249px\" \/><\/a>Na representa\u00e7\u00e3o gr\u00e1fica, constatamos:<\/p>\n<ul>\n<li>As tr\u00eas retas passam na origem do referencial, pelo que representam fun\u00e7\u00f5es de proporcionalidade direta;<\/li>\n<li>O ponto de coordenadas $(1,1)$ pertence \u00e0 reta f;<\/li>\n<li>O ponto de coordenadas $(-1,1)$ pertence \u00e0 reta g;<\/li>\n<li>O ponto de coordenadas $(-1,4)$ pertence \u00e0 reta h.<\/li>\n<\/ul>\n<p>As constantes de proporcionalidade s\u00e3o:<\/p>\n<ul>\n<li>${{k}_{f}}=\\frac{1}{1}=1$<\/li>\n<li>${{k}_{g}}=\\frac{-1}{1}=-1$<\/li>\n<li>${{k}_{h}}=\\frac{4}{-1}=-4$<\/li>\n<\/ul>\n<p>Logo, as equa\u00e7\u00f5es s\u00e3o:<\/p>\n<ul>\n<li>reta f: $y=x$<\/li>\n<li>reta g: $y=-x$<\/li>\n<li>reta h: $y=-4x$<\/li>\n<\/ul>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6462' onClick='GTTabs_show(0,6462)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Determina as equa\u00e7\u00f5es das retas representadas no referencial cartesiano: Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20566,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,127],"tags":[128],"series":[],"class_list":["post-6462","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-funcoes","tag-funcoes-2"],"views":1671,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/02\/8V1Pag071-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6462","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=6462"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6462\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20566"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6462"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6462"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6462"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6462"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}