{"id":24120,"date":"2023-01-02T00:32:35","date_gmt":"2023-01-02T00:32:35","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24120"},"modified":"2023-01-17T23:34:52","modified_gmt":"2023-01-17T23:34:52","slug":"um-hexagono-regular-5","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24120","title":{"rendered":"Um hex\u00e1gono regular"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24120' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24120' class='GTTabs_curr'><a  id=\"24120_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24120' ><a  id=\"24120_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_24120'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24122\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24122\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" data-orig-size=\"269,244\" 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_Pag107-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" class=\"alignright wp-image-24122\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" alt=\"\" width=\"240\" height=\"218\" \/><\/a>A figura representa um hex\u00e1gono regular dividido em seis tri\u00e2ngulos geometricamente iguais.<\/p>\n<ol>\n<li>Indica:<br \/>a) os segmentos de reta orientados equipolentes a [O, F].<br \/>b) um segmento de reta orientado com a mesma dire\u00e7\u00e3o de [F, A], mas com sentido oposto e o dobro do comprimento.<\/li>\n<li>Usando letras da figura, determina:<br \/>a) \\(O + \\overrightarrow {CD} \\)<br \/>b) \\(D + \\overrightarrow {EF} \\)<br \/>c) \\(\\overrightarrow {AO} + \\overrightarrow {BC} \\)<br \/>d) \\(\\overrightarrow {FE} + \\overrightarrow {FO} \\)<br \/>e) \\(\\overrightarrow {OD} + \\overrightarrow {FE} \\)<br \/>f) \\(\\overrightarrow {FA} + \\overrightarrow {BE} \\)<br \/>g) \\(\\overrightarrow {DE} + \\overrightarrow {AB} \\)<br \/>h) \\(\\overrightarrow {AF} + \\overrightarrow {AC} + \\overrightarrow {OB} \\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24120' onClick='GTTabs_show(1,24120)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24120'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24122\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24122\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" data-orig-size=\"269,244\" 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_Pag107-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" class=\"alignright wp-image-24122\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4.png\" alt=\"\" width=\"240\" height=\"218\" \/><\/a>A figura representa um hex\u00e1gono regular dividido em seis tri\u00e2ngulos geometricamente iguais.<\/p>\n<ol>\n<li><br \/>a) Os segmentos de reta orientados equipolentes a [O, F] s\u00e3o: [B, A], [C, O] e [D,\u00a0E].<br \/>b) Um segmento de reta orientado com a mesma dire\u00e7\u00e3o de [F, A], mas com sentido oposto e o dobro do comprimento \u00e9 [B,\u00a0E].<\/li>\n<li>Usando letras da figura, temos:<br \/>a) \\(O + \\overrightarrow {CD} = E\\)<br \/>b) \\(D + \\overrightarrow {EF} = O\\)<br \/>c) \\(\\overrightarrow {AO} + \\overrightarrow {BC} = \\overrightarrow {AD} \\)<br \/>d) \\(\\overrightarrow {FE} + \\overrightarrow {FO} = \\overrightarrow {FD} \\)<br \/>e) \\(\\overrightarrow {OD} + \\overrightarrow {FE} = \\overrightarrow {AD} \\)<br \/>f) \\(\\overrightarrow {FA} + \\overrightarrow {BE} = \\overrightarrow {BO} \\)<br \/>g) \\(\\overrightarrow {DE} + \\overrightarrow {AB} = \\overrightarrow 0 \\)<br \/>h) \\(\\overrightarrow {AF} + \\overrightarrow {AC} + \\overrightarrow {OB} = \\left( {\\overrightarrow {AF} + \\overrightarrow {OB} } \\right) + \\overrightarrow {AC} = \\overrightarrow 0 + \\overrightarrow {AC} = \\overrightarrow {AC} \\)<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24120' onClick='GTTabs_show(0,24120)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A figura representa um hex\u00e1gono regular dividido em seis tri\u00e2ngulos geometricamente iguais. Indica:a) os segmentos de reta orientados equipolentes a [O, F].b) um segmento de reta orientado com a mesma dire\u00e7\u00e3o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24123,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,688],"series":[],"class_list":["post-24120","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-vetores"],"views":166,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/01\/8_Pag107-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24120","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=24120"}],"version-history":[{"count":1,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24120\/revisions"}],"predecessor-version":[{"id":24130,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24120\/revisions\/24130"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24123"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24120"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24120"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24120"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24120"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}