{"id":8510,"date":"2023-09-28T23:42:00","date_gmt":"2023-09-28T22:42:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-math-adaptatif-transformation-plan-niveau-facile\/"},"modified":"2023-08-21T14:54:35","modified_gmt":"2023-08-21T13:54:35","slug":"exercice-math-adaptatif-transformation-plan-niveau-facile","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-math-adaptatif-transformation-plan-niveau-facile\/","title":{"rendered":"Exercice Math Adaptatif Transformation Plan Niveau Facile"},"content":{"rendered":"<p><img decoding=\"async\" draggable=false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4cd.svg\"> Points importants du cours : Transformations du plan <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4cd.svg\"><\/p>\n<p>En math\u00e9matiquesune transformation du plan est une op\u00e9ration qui modifie la position des points dans un plan. Il existe plusieurs types de transformations: <\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"1\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/31-20e3.svg\"> La translation : Elle d\u00e9place chaque point d&rsquo;une m\u00eame distance et dans la m\u00eame direction.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"2\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/32-20e3.svg\"> La rotation : Elle fait \u00ab tourner \u00bb chaque point autour d&rsquo;un point fixe appel\u00e9 \u00ab\u00a0centre de rotation\u00a0\u00bb.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"3\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/33-20e3.svg\"> La sym\u00e9trie axiale (ou r\u00e9flexion) : \u00c0 chaque point correspond un autre point situ\u00e9 de l&rsquo;autre c\u00f4t\u00e9 d\u2019une ligne appel\u00e9e \u00ab\u00a0axe de sym\u00e9trie\u00a0\u00bb.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"4\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/34-20e3.svg\"> L&rsquo;homoth\u00e9tie: Chaque segment reliant un point au centre d\u2019homoth\u00e9tie est multipli\u00e9 par le coefficient d&rsquo;homoth\u00e9tie.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f3b2.svg\"> Exercice jeu \u00e9ducatif &#8211; Transformations du plan <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f3b2.svg\"><\/p>\n<p>Consigne: Voici quatre figures plac\u00e9es sur un quadrillage. \u00c0 quelle transformation correspondent-elles? Pour chacune des transformationsdonne \u00e9galement l\u2019\u00e9l\u00e9ment caract\u00e9ristique si possible (direction et distance pour translationcentre et angle pour rotationaxe pour sym\u00e9triecentre et coefficient pour homoth\u00e9tie).<\/p>\n<p>Figure 1: <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4a0.svg\"> &#8211;&gt; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f539.svg\"><br \/>Figure 2: <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u23fa\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/23fa.svg\"> &#8211;&gt; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2b55\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2b55.svg\"><br \/>Figure 3: <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u25fc\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/25fc.svg\"> &#8211;&gt; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u25fe\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/25fe.svg\"> <br \/>Figure 4: \u25b2 &#8211;&gt; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f53d.svg\"><\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2728\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2728.svg\"> Corrections :<\/p>\n<p> Figure 1: Translation vers la droite de deux unit\u00e9s.<br \/> Figure 2: Rotation \u00e0 partir du milieu de figure \u00e0 environ90\u00b0.<br \/> Figure 3: Syma\u00e8trie axiale selon l\u2019axe vertical passant par le milieu.<br \/> Figure 4&nbsp;:L&rsquo;homothetie avec une reduction cohoefficient -1 .<\/p>\n<p>Ceci est adapt\u00e9e aux \u00e9l\u00e8ves car il encourage non seulement leur compr\u00e9hension mais d\u00e9veloppe aussi leur capacit\u00e9 \u00e0 identifier visuellement les diff\u00e9rents types de transformations g\u00e9om\u00e9triques. Cela rend le sujet plus captivant!<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[52,7,5,4,318,1],"tags":[],"class_list":["post-8510","post","type-post","status-publish","format-standard","hentry","category-4eme","category-mathematiques","category-niveaux","category-matieres","category-pas-dadaptation-particuliere","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8510","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8510"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8510\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8510"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}