{"id":23884,"date":"2022-12-26T23:47:56","date_gmt":"2022-12-26T23:47:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23884"},"modified":"2023-01-10T21:04:39","modified_gmt":"2023-01-10T21:04:39","slug":"um-hexagono-regular-4","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23884","title":{"rendered":"Um hex\u00e1gono regular"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23884' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23884' class='GTTabs_curr'><a  id=\"23884_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23884' ><a  id=\"23884_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_23884'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A figura representa um hex\u00e1gono regular dividido em seis tri\u00e2ngulos geometricamente iguais.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23886\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23886\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" data-orig-size=\"289,250\" 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_Pag093-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" class=\"aligncenter wp-image-23886\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" alt=\"\" width=\"280\" height=\"242\" \/><\/a><\/p>\n<p>Usando letras da figura, determina:<\/p>\n<ol>\n<li>\\(\\overrightarrow {BC} + \\overrightarrow {BO} \\)<\/li>\n<li>\\(\\overrightarrow {OD} + \\overrightarrow {BC} \\)<\/li>\n<li>\\(\\overrightarrow {AB} + \\overrightarrow {CF} \\)<\/li>\n<li>\\(\\overrightarrow {DE} + \\overrightarrow {FO} \\)<\/li>\n<li>\\(B + \\overrightarrow {OE} \\)<\/li>\n<li>\\({T_{\\overrightarrow {EF} }}\\left( O \\right)\\)<\/li>\n<li>\\(\\left( {{T_{\\overrightarrow {AF} }} \\circ {T_{\\overrightarrow {FO} }}} \\right)\\left( A \\right)\\)<\/li>\n<li>\\(E + \\overrightarrow {AB} \\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23884' onClick='GTTabs_show(1,23884)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23884'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A figura representa um hex\u00e1gono regular dividido em seis tri\u00e2ngulos geometricamente iguais.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23886\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23886\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" data-orig-size=\"289,250\" 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_Pag093-4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" class=\"aligncenter wp-image-23886\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4.png\" alt=\"\" width=\"280\" height=\"242\" \/><\/a><\/p>\n<p>Usando letras da figura, determina-se:<\/p>\n<ol>\n<li>\\(\\overrightarrow {BC} + \\overrightarrow {BO} = \\overrightarrow {BD} \\)<\/li>\n<li>\\(\\overrightarrow {OD} + \\overrightarrow {BC} = \\overrightarrow {AD} \\)<\/li>\n<li>\\(\\overrightarrow {AB} + \\overrightarrow {CF} = \\overrightarrow {CO} \\)<\/li>\n<li>\\(\\overrightarrow {DE} + \\overrightarrow {FO} = \\overrightarrow 0 \\)<\/li>\n<li>\\(B + \\overrightarrow {OE} = O\\)<\/li>\n<li>\\({T_{\\overrightarrow {EF} }}\\left( O \\right) = A\\)<\/li>\n<li>\\(\\left( {{T_{\\overrightarrow {AF} }} \\circ {T_{\\overrightarrow {FO} }}} \\right)\\left( A \\right) = \\left( {{T_{\\overrightarrow {AF} }}} \\right)\\left( {{T_{\\overrightarrow {FO} }}\\left( A \\right)} \\right) = \\left( {{T_{\\overrightarrow {AF} }}} \\right)\\left( B \\right) = O\\)<\/li>\n<li>\\(E + \\overrightarrow {AB} = D\\)<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23884' onClick='GTTabs_show(0,23884)'>&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. Usando letras da figura, determina: \\(\\overrightarrow {BC} + \\overrightarrow {BO} \\) \\(\\overrightarrow {OD} + \\overrightarrow {BC} \\) \\(\\overrightarrow {AB}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23887,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,685],"tags":[424,67,381,688],"series":[],"class_list":["post-23884","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-translacao","tag-vetores"],"views":288,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag093-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23884","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=23884"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23884\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23887"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23884"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23884"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23884"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23884"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}