{"id":14135,"date":"2018-03-12T02:51:27","date_gmt":"2018-03-12T02:51:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14135"},"modified":"2022-01-11T10:47:53","modified_gmt":"2022-01-11T10:47:53","slug":"considera-num-referencial-cartesiano-os-pontos-a-b-e-c","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14135","title":{"rendered":"Considera, num referencial cartesiano, os pontos A, B e C"},"content":{"rendered":"<p><ul id='GTTabs_ul_14135' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14135' class='GTTabs_curr'><a  id=\"14135_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14135' ><a  id=\"14135_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_14135'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera, num referencial cartesiano, os pontos <em>A<\/em>(2,1), <em>B<\/em>(-1,1) e <em>C<\/em>(-1,-3).<\/p>\n<ol>\n<li>Representa os pontos <em>A<\/em>, <em>B<\/em> e <em>C<\/em>, num referencial cartesiano ortogonal e monom\u00e9trico.<\/li>\n<li>Calcula o seno do \u00e2ngulo <em>BAC<\/em>.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14135' onClick='GTTabs_show(1,14135)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14135'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14137\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14137\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7.png\" data-orig-size=\"756,908\" 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=\"Tri\u00e2ngulo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7.png\" class=\"alignright wp-image-14137\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7-250x300.png\" alt=\"\" width=\"400\" height=\"480\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7-250x300.png 250w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag056-7.png 756w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a>Os pontos est\u00e3o representados no referencial ao lado.<br \/>\n\u00ad<\/li>\n<li>Tendo em considera\u00e7\u00e3o as medidas dos comprimentos dos lados do tri\u00e2ngulo ret\u00e2ngulo [<em>ABC<\/em>], vem:<br \/>\n\\[{\\mathop{\\rm sen}\\nolimits} B\\widehat AC = \\frac{{\\overline {BC} }}{{\\overline {AC} }} = \\frac{4}{5}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14135' onClick='GTTabs_show(0,14135)'>&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(2,1), B(-1,1) e C(-1,-3). Representa os pontos A, B e C, num referencial cartesiano ortogonal e monom\u00e9trico. Calcula o seno do \u00e2ngulo BAC. Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,493,490],"series":[],"class_list":["post-14135","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-trigonometria-9--ano","tag-9-o-ano","tag-razao-trigonometrica","tag-seno"],"views":2573,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14135","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=14135"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14135\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14083"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14135"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}