{"id":3160,"date":"2023-11-28T18:23:11","date_gmt":"2023-11-28T17:23:11","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3160"},"modified":"2026-04-27T12:47:40","modified_gmt":"2026-04-27T10:47:40","slug":"les-flocons-de-koch","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=3160","title":{"rendered":"Les flocons de Koch"},"content":{"rendered":"\n

\n\t\t\t\u00c9nonc\u00e9 du probl\u00e8me\t<\/h2>\n\t

Premier temps<\/h3>\n

Proposer une construction de ces figures (les c\u00f4t\u00e9s des polygones sont de m\u00eame longueur).<\/p>\n

Deuxi\u00e8me temps<\/h3>\nQuelle est la longueur de chacune des lignes si la premi\u00e8re longueur est donn\u00e9e ?
\nEt \u00e0 la g\u00e9n\u00e9ration 4 ? \u00c0 la g\u00e9n\u00e9ration 10 ?\u00a0\u00c0 la g\u00e9n\u00e9ration 103 ? \u00c0 la g\u00e9n\u00e9ration n ?\n\t\t\t\t\"FloconsImageEnonc\u00e9\"\n\t\t\t\n\t\t\t\t\t\tRetour Panier \u00e0 probl\u00e8mes\n\t\t\t\t\t<\/a>\n\t

Comp\u00e9tences transversales<\/h3>\n\u2666 D\u00e9couvrir la beaut\u00e9 d’objets math\u00e9matiques.
\n\u2666 Mod\u00e9liser des ph\u00e9nom\u00e8nes naturels (chou-fleur, littoral, nuage. . .).
\n\u2666 Faire un lien avec des math\u00e9matiques contemporaines (g\u00e9om\u00e9trie fractale).\n\t

Connaissances math\u00e9matiques<\/h3>\n\u2666 D\u00e9crire et construire une figure.
\n\u2666 Travailler sur l’organisation d’un calcul.
\n\u2666 Utiliser un op\u00e9rateur fractionnaire.
\n\u2666 Travailler avec les r\u00e8gles de calcul sur les puissances.
\n\u2666 Construire une formule g\u00e9n\u00e9rale.
\n\u2666 Faire le lien avec des situations de r\u00e9duction ou d’agrandissement.\n\t\t\t\n\t\t\t\t\t\t\tT\u00e9l\u00e9charcher le document complet\n\t\t\t<\/a>\n\n","protected":false},"excerpt":{"rendered":"

Construire des figures aux c\u00f4t\u00e9s \u00e9gaux. D\u00e9terminer la longueur des lignes selon la premi\u00e8re longueur, puis pour les g\u00e9n\u00e9rations 4, 10, 103, et en g\u00e9n\u00e9ral pour la g\u00e9n\u00e9ration n.<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107],"tags":[],"niveau":[113,114],"type_situation":[116],"theme_maths":[120,121,118,119],"probleme_associe":[],"type-expe":[],"class_list":{"0":"post-3160","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":"theme_maths-nombres-et-calculs","13":"theme_maths-ogd-fonctions","14":"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":"Situation Probl\u00e8me<\/a>","rttpg_excerpt":"Construire des figures aux c\u00f4t\u00e9s \u00e9gaux. D\u00e9terminer la longueur des lignes selon la premi\u00e8re longueur, puis pour les g\u00e9n\u00e9rations 4, 10, 103, et en g\u00e9n\u00e9ral pour la g\u00e9n\u00e9ration n.","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3160","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=3160"}],"version-history":[{"count":5,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3160\/revisions"}],"predecessor-version":[{"id":3820,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3160\/revisions\/3820"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3160"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=3160"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=3160"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=3160"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=3160"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=3160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}