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{"id":23910,"date":"2022-12-28T02:05:27","date_gmt":"2022-12-28T02:05:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23910"},"modified":"2023-01-10T21:06:40","modified_gmt":"2023-01-10T21:06:40","slug":"motivos-de-decoracao-de-um-tapete","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23910","title":{"rendered":"Motivos de decora\u00e7\u00e3o de um tapete"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23910' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23910' class='GTTabs_curr'><a  id=\"23910_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23910' ><a  id=\"23910_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_23910'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A figura abaixo representa motivos de decora\u00e7\u00e3o de um tapete.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23911\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23911\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2.png\" data-orig-size=\"372,212\" 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_Pag095-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2.png\" class=\"aligncenter wp-image-23911 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2.png\" alt=\"\" width=\"372\" height=\"212\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2.png 372w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2-300x171.png 300w\" sizes=\"auto, (max-width: 372px) 100vw, 372px\" \/><\/a><\/p>\n<p>Sabendo que \\(\\vec u = \\overrightarrow {AB} \\) e \\(\\vec v = \\overrightarrow {BC} \\), determina a imagem de:<\/p>\n<ol>\n<li>\\(A\\) por \\({T_{\\vec v}}\\)<\/li>\n<li>\\(B\\) por \\({T_{ &#8211; \\vec u}}\\)<\/li>\n<li>\\(D\\) pela transla\u00e7\u00e3o compostas das transla\u00e7\u00f5es \\({T_{\\vec u}}\\) e \\({T_{ &#8211; \\vec v}}\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23910' onClick='GTTabs_show(1,23910)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23910'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A figura abaixo representa motivos de decora\u00e7\u00e3o de um tapete.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23914\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23914\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores.png\" data-orig-size=\"969,541\" 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_Pag095-2_vetores\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores.png\" class=\"aligncenter wp-image-23914\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores-300x167.png\" alt=\"\" width=\"480\" height=\"268\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores-300x167.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores-768x429.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_vetores.png 969w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/a><\/p>\n<p>Sabendo que \\(\\vec u = \\overrightarrow {AB} \\) e \\(\\vec v = \\overrightarrow {BC} \\), determina-se seguidamente a imagem de:<\/p>\n<ol>\n<li>\\(A\\) por \\({T_{\\vec v}}\\)<br \/><span style=\"color: #0000ff;\">\\({T_{\\vec v}}\\left( A \\right) = D\\)<\/span><\/li>\n<li>\\(B\\) por \\({T_{ &#8211; \\vec u}}\\)<br \/><span style=\"color: #0000ff;\">\\({T_{ &#8211; \\vec u}}\\left( B \\right) = A\\)<\/span><\/li>\n<li>\\(D\\) pela transla\u00e7\u00e3o compostas das transla\u00e7\u00f5es \\({T_{\\vec u}}\\) e \\({T_{ &#8211; \\vec v}}\\)<br \/><span style=\"color: #0000ff;\">\\(\\left( {{T_{\\vec u}} \\circ {T_{ &#8211; \\vec v}}} \\right)\\left( D \\right) = {T_{\\vec u}}\\left( {{T_{ &#8211; \\vec v}}\\left( D \\right)} \\right) = {T_{\\vec u}}\\left( A \\right) = B\\)<\/span><\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23910' onClick='GTTabs_show(0,23910)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A figura abaixo representa motivos de decora\u00e7\u00e3o de um tapete. Sabendo que \\(\\vec u = \\overrightarrow {AB} \\) e \\(\\vec v = \\overrightarrow {BC} \\), determina a imagem de: \\(A\\) por&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23913,"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-23910","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":248,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag095-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23910","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=23910"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23910\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23913"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23910"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}