{"id":23865,"date":"2022-12-26T14:13:52","date_gmt":"2022-12-26T14:13:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23865"},"modified":"2023-01-09T22:28:26","modified_gmt":"2023-01-09T22:28:26","slug":"composicao-de-translacoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23865","title":{"rendered":"Composi\u00e7\u00e3o de transla\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23865' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23865' class='GTTabs_curr'><a  id=\"23865_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23865' ><a  id=\"23865_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_23865'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Observa a figura.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23868\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23868\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7.png\" data-orig-size=\"889,563\" 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_Pag089-T7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7.png\" class=\"aligncenter wp-image-23868\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7.png\" alt=\"\" width=\"720\" height=\"456\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7.png 889w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7-300x190.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7-768x486.png 768w\" sizes=\"auto, (max-width: 720px) 100vw, 720px\" \/><\/a><\/p>\n<ol>\n<li>Usando as quadr\u00edculas do teu caderno ou um programa de geometria din\u00e2mica, como, por exemplo, o <a href=\"https:\/\/www.geogebra.org\/?lang=pt-PT\" target=\"_blank\" rel=\"noopener\">GeoGebra<\/a>, reproduz a figura F1.<\/li>\n<li>Desenha a figura F2, imagem da figura F1, pela transla\u00e7\u00e3o de vetor \\({\\vec u}\\).<\/li>\n<li>Representa a figura F3, imagem da figura F2, pela transla\u00e7\u00e3o de vetor \\({\\vec v}\\).<\/li>\n<li>H\u00e1 uma transla\u00e7\u00e3o que transforma diretamente a figura F1 na figura F3.<br \/>Representa o vetor \\({\\vec w}\\) dessa transla\u00e7\u00e3o.<\/li>\n<li>Determina a figura F4, imagem da figura F1, pela transla\u00e7\u00e3o de vetor \\({\\vec t}\\), e o transformado F5, da figura F4, pela transla\u00e7\u00e3o de vetor \\({\\vec r}\\).<br \/>Como poderias ter obtido a figura F5 diretamente a partir da figura F1?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23865' onClick='GTTabs_show(1,23865)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23865'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Usando as quadr\u00edculas do teu caderno ou um programa de geometria din\u00e2mica, como, por exemplo, o <a href=\"https:\/\/www.geogebra.org\/?lang=pt-PT\" target=\"_blank\" rel=\"noopener\">GeoGebra<\/a>, reproduz a figura F1.<\/li>\n<li>Desenha a figura F2, imagem da figura F1, pela transla\u00e7\u00e3o de vetor \\({\\vec u}\\).<\/li>\n<li>Representa a figura F3, imagem da figura F2, pela transla\u00e7\u00e3o de vetor \\({\\vec v}\\).<\/li>\n<li>H\u00e1 uma transla\u00e7\u00e3o que transforma diretamente a figura F1 na figura F3.<br \/>Representa o vetor \\({\\vec w}\\) dessa transla\u00e7\u00e3o.<\/li>\n<li>Determina a figura F4, imagem da figura F1, pela transla\u00e7\u00e3o de vetor \\({\\vec t}\\), e o transformado F5, da figura F4, pela transla\u00e7\u00e3o de vetor \\({\\vec r}\\).<br \/>Como poderias ter obtido a figura F5 diretamente a partir da figura F1?<\/li>\n<\/ol>\n<p><br \/><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": 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\",\r\n};\r\n\/\/ is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator DA=Data Analysis, FI=Function Inspector, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23865' onClick='GTTabs_show(0,23865)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Observa a figura. Usando as quadr\u00edculas do teu caderno ou um programa de geometria din\u00e2mica, como, por exemplo, o GeoGebra, reproduz a figura F1. Desenha a figura F2, imagem da figura&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23869,"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-23865","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":448,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag089-T7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23865","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=23865"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23865\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23869"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23865"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}