{"id":3182,"date":"2023-11-28T19:30:32","date_gmt":"2023-11-28T18:30:32","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3182"},"modified":"2026-04-27T12:46:51","modified_gmt":"2026-04-27T10:46:51","slug":"question-d-aire","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=3182","title":{"rendered":"Question d&rsquo;aire"},"content":{"rendered":"\n<h2>\n\t\t\t\u00c9nonc\u00e9 du probl\u00e8me\t<\/h2>\n\tO\u00f9 placer le point M sur [BA) pour que le triangle MBC ait la m\u00eame aire que le quadrilat\u00e8re\u00a0ABCD?<br \/>\nProposer une construction et la justifier.\n\t\t\t\t<img decoding=\"async\" src=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/DREAM_NR_QUESTIONDAIRES_IllustrationEnonce.png\" alt=\"DREAM_NR_QUESTIONDAIRES_IllustrationEnonc\u00e9\" itemprop=\"image\" height=\"201\" width=\"209\" title=\"DREAM_NR_QUESTIONDAIRES_IllustrationEnonc\u00e9\" onerror=\"this.style.display='none'\" loading=\"lazy\" \/>\n\t\t\t<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=79\" target=\"_self\">\n\t\t\t\t\t\tRetour Panier \u00e0 probl\u00e8mes\n\t\t\t\t\t<\/a>\n\t<h3>Comp\u00e9tences transversales<\/h3>\n\u2666 Fournir un cadre pour d\u00e9velopper les capacit\u00e9s \u00e0 exp\u00e9rimenter et \u00e0 mettre en \u0153uvre des d\u00e9marches d&rsquo;investigation.<br \/>\n\u2666 Contribuer \u00e0 l&rsquo;apprentissage du raisonnement d\u00e9ductif.\n\t<h3>Connaissances math\u00e9matiques<\/h3>\n\u2666 Faire travailler les \u00e9l\u00e8ves sur le calcul d&rsquo;aire d&rsquo;un quadrilat\u00e8re quelconque.<br \/>\n\u2666 Trouver un lieu g\u00e9om\u00e9trique.<br \/>\n\u2666 Comparer des aires.<br \/>\n\u2666 Entretenir les acquis des classes ant\u00e9rieures sur les calculs d&rsquo;aire.<br \/>\n\u2666 Manipuler, faire des d\u00e9compositions en liaison avec la pratique du calcul litt\u00e9ral.\n\t\t\t<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/12\/DREAM_NarrationRecherche_QuestionAire.pdf\" target=\"_blank\" rel=\"noopener\">\n\t\t\t\t\t\t\tT\u00e9l\u00e9charcher le document complet\n\t\t\t<\/a>\n\n","protected":false},"excerpt":{"rendered":"<p>O\u00f9 placer le point M sur [BA) pour que le triangle MBC ait la m\u00eame aire que le quadrilat\u00e8re ABCD\u202f?<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107],"tags":[],"niveau":[113,114],"type_situation":[116],"theme_maths":[120,121],"probleme_associe":[],"type-expe":[],"class_list":{"0":"post-3182","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-situation-probleme","7":"niveau-cycle-4","8":"niveau-lycee","9":"type_situation-situation-probleme","10":"theme_maths-espace-et-geometrie","11":"theme_maths-grandeurs-et-mesures","12":"czr-hentry"},"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"St\u00e9phanie CROQUELOIS","author_link":"https:\/\/math.univ-lyon1.fr\/dream\/?author=3"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?cat=107\" rel=\"category\">Situation Probl\u00e8me<\/a>","rttpg_excerpt":"O\u00f9 placer le point M sur [BA) pour que le triangle MBC ait la m\u00eame aire que le quadrilat\u00e8re ABCD\u202f?","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3182"}],"version-history":[{"count":6,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3182\/revisions"}],"predecessor-version":[{"id":3823,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3182\/revisions\/3823"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3182"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3182"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3182"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=3182"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=3182"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=3182"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=3182"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=3182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}