{"id":24164,"date":"2023-01-03T22:22:49","date_gmt":"2023-01-03T22:22:49","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24164"},"modified":"2023-01-17T23:38:10","modified_gmt":"2023-01-17T23:38:10","slug":"o-mostrador-de-um-relogio","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24164","title":{"rendered":"O mostrador de um rel\u00f3gio"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24164' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24164' class='GTTabs_curr'><a  id=\"24164_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24164' ><a  id=\"24164_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_24164'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24165\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24165\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" data-orig-size=\"222,202\" 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_Pag109-10\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" class=\"alignright wp-image-24165 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" alt=\"\" width=\"222\" height=\"202\" \/>Observa o seguinte mostrador de rel\u00f3gio.<\/p>\n<ol>\n<li>A imagem do ponto 7 na rota\u00e7\u00e3o de centro O e amplitude 120\u00b0, no sentido negativo, \u00e9:<br \/>[A] 11\u00a0 \u00a0 \u00a0[B] 2\u00a0 \u00a0 \u00a0[C] 3\u00a0 \u00a0 \u00a0[D] 10<\/li>\n<li>O original que tem por imagem 6 na rota\u00e7\u00e3o de centro O e amplitude 150\u00b0, no sentido positivo, \u00e9:<br \/>[A] 12\u00a0 \u00a0 \u00a0[B] 11\u00a0 \u00a0 \u00a0[C] 1\u00a0 \u00a0 \u00a0[D] 12<\/li>\n<li>A amplitude da rota\u00e7\u00e3o de centro O que transforma o ponto 11 no ponto 7 \u00e9:<br \/>[A] 240\u00b0, no sentido negativo<br \/>[B] 60\u00b0, no sentido positivo<br \/>[C] 120\u00b0, no sentido negativo<br \/>[D] 240\u00b0, no sentido positivo<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24164' onClick='GTTabs_show(1,24164)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24164'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24165\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24165\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" data-orig-size=\"222,202\" 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_Pag109-10\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" class=\"alignright wp-image-24165 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10.png\" alt=\"\" width=\"222\" height=\"202\" \/>Comecemos por determinar a amplitude do \u00e2ngulo de v\u00e9rtice O e com lados contendo dois pontos consecutivos do mostrador (por exemplo, os pontos 12 e 1): \\(\\alpha = \\frac{{360^\\circ }}{{12}} = 30^\\circ \\).<\/p>\n<ol>\n<li>A imagem do ponto 7 na rota\u00e7\u00e3o de centro O e amplitude 120\u00b0, no sentido negativo, \u00e9: [A] 11. (Note que \\(120^\\circ = 4 \\times 30^\\circ \\)).<\/li>\n<li>O original que tem por imagem 6 na rota\u00e7\u00e3o de centro O e amplitude 150\u00b0, no sentido positivo, \u00e9: [B] 11.\u00a0(Note que \\(150^\\circ = 5 \\times 30^\\circ \\)).<\/li>\n<li>A amplitude da rota\u00e7\u00e3o de centro O que transforma o ponto 11 no ponto 7 \u00e9:<br \/>[A] 240\u00b0, no sentido negativo. (Note que \\(240^\\circ = 8 \\times 30^\\circ \\)).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24164' onClick='GTTabs_show(0,24164)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Observa o seguinte mostrador de rel\u00f3gio. A imagem do ponto 7 na rota\u00e7\u00e3o de centro O e amplitude 120\u00b0, no sentido negativo, \u00e9:[A] 11\u00a0 \u00a0 \u00a0[B] 2\u00a0 \u00a0 \u00a0[C] 3\u00a0 \u00a0&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24166,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,382],"series":[],"class_list":["post-24164","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-isometrias","tag-8-o-ano","tag-geometria","tag-rotacao"],"views":119,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag109-10_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24164","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=24164"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24164\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24166"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24164"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}