Vous disposez d’un cube de 10 cm d’ar\u00eate et vous d\u00e9signez par A un de ses sommets. \u2666 Mod\u00e9liser une situation. \u2666 Utiliser le th\u00e9or\u00e8me de Pythagore pour le calcul de distances dans le cube. Avec un cube de 10\u202fcm d\u2019ar\u00eate et un sommet A, quels points du cube se trouvent exactement \u00e0 15\u202fcm de A\u202f? Comment les d\u00e9terminer\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],"probleme_associe":[],"type-expe":[],"class_list":{"0":"post-3191","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":"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":"Avec un cube de 10\u202fcm d\u2019ar\u00eate et un sommet A, quels points du cube se trouvent exactement \u00e0 15\u202fcm de A\u202f? Comment les d\u00e9terminer\u202f?","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3191","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=3191"}],"version-history":[{"count":6,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3191\/revisions"}],"predecessor-version":[{"id":3794,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3191\/revisions\/3794"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3191"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3191"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3191"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=3191"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=3191"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=3191"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=3191"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=3191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
D\u00e9terminez tous les points du cube situ\u00e9s\u00a0\u00e0 15 cm de A. Retour Panier \u00e0 probl\u00e8mes <\/a><\/p>\r\nComp\u00e9tences transversales<\/h3>\r\n
\u2666 Interroger diff\u00e9rentes repr\u00e9sentations d’objets de l’espace.
\u2666 Faire des essais et les relier \u00e0 des concepts g\u00e9om\u00e9triques<\/p>\r\nConnaissances math\u00e9matiques<\/h3>\r\n
\u2666 Passer d’une repr\u00e9sentation du cube \u00e0 une autre,
\u2666 Rep\u00e9rer des qualit\u00e9s et des inconv\u00e9nients de chaque repr\u00e9sentation.
\u2666 Raisonner par l’absurde pour montrer que certaines faces ne contiennent aucun point \u00e0 15 cm du sommet. T\u00e9l\u00e9charcher le document complet <\/a><\/p>\r\n","protected":false},"excerpt":{"rendered":"