{"id":14530,"date":"2018-04-15T10:51:55","date_gmt":"2018-04-15T09:51:55","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14530"},"modified":"2022-01-07T22:27:38","modified_gmt":"2022-01-07T22:27:38","slug":"clube-desportivo-os-medalhados","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14530","title":{"rendered":"Clube desportivo <em>Os Medalhados<\/em>"},"content":{"rendered":"<p><ul id='GTTabs_ul_14530' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14530' class='GTTabs_curr'><a  id=\"14530_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14530' ><a  id=\"14530_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_14530'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>No jardim do clube desportivo <em>Os Medalhados<\/em>, existem duas balizas como a representada na Figura1.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14533\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14533\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" data-orig-size=\"1000,370\" 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=\"Baliza\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" class=\"aligncenter wp-image-14533\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" alt=\"\" width=\"800\" height=\"296\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png 1000w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7-300x111.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7-768x284.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/a><\/p>\n<p>A Figura 2 representa um esquema da baliza da Figura 1. Os tri\u00e2ngulos [<em>ABC<\/em>] e [<em>DEF<\/em>] s\u00e3o ret\u00e2ngulos em <em>A<\/em> e em <em>D<\/em>, respetivamente. [<em>BEC<\/em>] \u00e9 um ret\u00e2ngulo.<br \/>\nA figura 2 n\u00e3o est\u00e1 desenhada \u00e0 escala.<\/p>\n<ol>\n<li>Qual \u00e9 a posi\u00e7\u00e3o relativa entre o poste da baliza representada na Figura 2 pelo segmento [<em>AC<\/em>] e o plano que cont\u00e9m a parte lateral representada na Figura 2 pelo tri\u00e2ngulo [<em>DEF<\/em>]?<br \/>\n[A] Concorrente n\u00e3o perpendicular<br \/>\n[B] Paralela<br \/>\n[C] Perpendicular<br \/>\n[D] Contida no plano<\/li>\n<li>Sabe-se que: \\(\\overline {AB} = 120\\) cm; \\(\\overline {BE} = 180\\) cm; \\(\\overline {AC} = 160\\) cm.<br \/>\nDetermina a \u00e1rea do ret\u00e2ngulo [<em>BEFC<\/em>] do esquema da baliza representada na Figura 2.<br \/>\nApresenta os c\u00e1lculos que efetuares e, na tua resposta, escreve a unidade de medida.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14530' onClick='GTTabs_show(1,14530)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14530'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14533\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14533\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" data-orig-size=\"1000,370\" 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=\"Baliza\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" class=\"aligncenter wp-image-14533\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png\" alt=\"\" width=\"800\" height=\"296\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7.png 1000w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7-300x111.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7-768x284.png 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/a><\/p>\n<ol>\n<li>\n<p>A posi\u00e7\u00e3o relativa entre o poste da baliza representada na Figura 2 pelo segmento [<em>AC<\/em>] e o plano que cont\u00e9m a parte lateral representada na Figura 2 pelo tri\u00e2ngulo [<em>DEF<\/em>] \u00e9 a posi\u00e7\u00e3o paralela.<span style=\"display: inline !important; float: none; background-color: transparent; color: #333333; font-family: Arial,sans-serif; font-size: 16px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; line-height: 22.4px; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px; word-wrap: break-word;\"><br \/>\n<\/span>Assim, a alternativa correta \u00e9 a [B].<\/p>\n<\/li>\n<li>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo [ABC], vem:\u00a0\\(\\overline {BC} = \\sqrt {{{\\overline {AB} }^2} + {{\\overline {AC} }^2}} = \\sqrt {{{120}^2} + {{160}^2}} = 200\\) cm.<br \/>\nLogo, a \u00e1rea do ret\u00e2ngulo [<em>BEFC<\/em>] do esquema da baliza representada na Figura 2 \u00e9 36000 cm<sup>2<\/sup>:<br \/>\n\\[{A_{\\left[ {BEFC} \\right]}} = \\overline {BE} \\times \\overline {BC} = 180 \\times 200 = 36000\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14530' onClick='GTTabs_show(0,14530)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado No jardim do clube desportivo Os Medalhados, existem duas balizas como a representada na Figura1. A Figura 2 representa um esquema da baliza da Figura 1. Os tri\u00e2ngulos [ABC] e [DEF]&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14534,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,303],"tags":[426,108,118],"series":[],"class_list":["post-14530","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-equacoes-do-2-o-grau","tag-9-o-ano","tag-area","tag-teorema-de-pitagoras"],"views":2666,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag93-7a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14530","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=14530"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14530\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14534"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14530"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14530"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14530"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}