{"id":3438,"date":"2023-12-01T20:05:38","date_gmt":"2023-12-01T19:05:38","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3438"},"modified":"2026-04-27T12:44:20","modified_gmt":"2026-04-27T10:44:20","slug":"les-regions-du-disque","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=3438","title":{"rendered":"Les r\u00e9gions du disque"},"content":{"rendered":"\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/\">Accueil<\/a> \u00bb <a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3328\">Ressources p\u00e9dagogiques<\/a> \u00bb <a href=\"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=77\">Des exemples de SDRP<\/a> \u00bb Les r\u00e9gions du disque<\/p>\r\n<h1>L&rsquo;\u00e9nonc\u00e9 de la situation<\/h1>\r\n<p>Combien y a-t-il au maximum de r\u00e9gions d\u00e9termin\u00e9es dans un disque par toutes les cordes joignant des points deux \u00e0 deux ?<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/clarolineconnect.univ-lyon1.fr\/file\/resource\/media\/1905999\" alt=\"intro - Copie.jpg\" width=\"149\" height=\"147\" \/><\/p>\r\n<p>Vid\u00e9o en construction<\/p>\r\n<h1>Les math\u00e9matiques en jeu<\/h1>\r\n<p>Dans ce probl\u00e8me de combinatoire la notion de combinaison de p parmi n joue un r\u00f4le important dans la r\u00e9solution du probl\u00e8me et appara\u00eet assez naturellement pour compter les cordes dans un premier temps, puis pour d\u00e9terminer le nombre de r\u00e9gions.<\/p>\r\n<h4>Analyse math\u00e9matique<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/04\/RegionsDisque_Analyse_Maths_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Analyse didactique<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/04\/RegionsDisque_Analyse_didactique_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Exemples de mise en \u0153uvre<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/04\/RegionsDisque_Mise_en_oeuvre_DREAM.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>Combien y a-t-il au maximum de r\u00e9gions d\u00e9termin\u00e9es dans un disque par toutes les cordes joignant des points deux \u00e0 deux ?<\/p>\n","protected":false},"author":3,"featured_media":2483,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[],"niveau":[112,113,114],"type_situation":[115],"theme_maths":[120,118,119],"probleme_associe":[125],"type-expe":[],"class_list":{"0":"post-3438","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-sdrp","8":"niveau-cycle_3","9":"niveau-cycle-4","10":"niveau-lycee","11":"type_situation-sdrp","12":"theme_maths-espace-et-geometrie","13":"theme_maths-nombres-et-calculs","14":"theme_maths-ogd-fonctions","15":"probleme_associe-regions-du-disque","16":"czr-hentry"},"rttpg_featured_image_url":{"full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"landscape":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"portraits":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"thumbnail":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-150x150.png",150,150,true],"medium":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-300x148.png",300,148,true],"large":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"1536x1536":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"2048x2048":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-grid-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-grid":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-270x210.png",270,210,true],"slider-full":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-427x200.png",427,200,true],"slider":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-427x200.png",427,200,true],"tc-sq-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-ws-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-ws-small-thumb":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton.png",427,210,false],"tc-slider-small":["https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2023\/02\/RegionsDisqueBouton-427x94.png",427,94,true]},"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=106\" rel=\"category\">SDRP<\/a>","rttpg_excerpt":"Combien y a-t-il au maximum de r\u00e9gions d\u00e9termin\u00e9es dans un disque par toutes les cordes joignant des points deux \u00e0 deux 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