{"id":3368,"date":"2023-12-01T17:15:16","date_gmt":"2023-12-01T16:15:16","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/dream\/?page_id=3368"},"modified":"2026-04-27T12:46:08","modified_gmt":"2026-04-27T10:46:08","slug":"la-riviere-2","status":"publish","type":"post","link":"https:\/\/math.univ-lyon1.fr\/dream\/?p=3368","title":{"rendered":"La rivi\u00e8re"},"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 La rivi\u00e8re<\/p>\r\n<h1>L&rsquo;\u00e9nonc\u00e9 de la situation<\/h1>\r\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/clarolineconnect.univ-lyon1.fr\/file\/resource\/media\/3928629\" alt=\"enoncelari.PNG\" width=\"248\" height=\"223\" \/><\/p>\r\n<p><iframe loading=\"lazy\" title=\"Le Probl\u00e8me de La Rivi\u00e8re\" src=\"https:\/\/tube-sciences-technologies.apps.education.fr\/videos\/embed\/bc8e9524-b35a-479b-a7df-f0a631a35b6e\" width=\"560\" height=\"315\" frameborder=\"0\" sandbox=\"allow-same-origin allow-scripts allow-popups allow-forms\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\r\n<h1>Les math\u00e9matiques en jeu<\/h1>\r\n<ul>\r\n<li>Distance d&rsquo;un point \u00e0 une droite<\/li>\r\n<li>Construire le sym\u00e9trique d&rsquo;un point par rapport \u00e0 une droite<\/li>\r\n<li>Distance sur une ligne bris\u00e9e<\/li>\r\n<li>In\u00e9galit\u00e9 triangulaire<\/li>\r\n<li>Configuration de Thal\u00e8s<\/li>\r\n<li>Relation entre position du point M et distance<\/li>\r\n<li>Existence du minimum<\/li>\r\n<li>Raisonnement, heuristiques, exp\u00e9rimentation<\/li>\r\n<\/ul>\r\n<h4>Analyse math\u00e9matique<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/LaRiviere_Analyse_Maths.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\/03\/LaRiviere_Analyse_didactique.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\/03\/LaRiviere_Mise_en_oeuvre.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n<h4>Pour aller plus loin<\/h4>\r\n<p><a href=\"https:\/\/math.univ-lyon1.fr\/dream\/wp-content\/uploads\/2022\/03\/LaRiviere_Pour_Aller_Plus_Loin.pdf\" target=\"_blank\" rel=\"noopener\"> T\u00e9l\u00e9charger le document <\/a><\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>Trouver le point M pour que le trajet de A \u00e0 B en passant par la rivi\u00e8re soit le plus petit possible<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[],"niveau":[113,114],"type_situation":[115],"theme_maths":[120],"probleme_associe":[128],"type-expe":[],"class_list":{"0":"post-3368","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-sdrp","7":"niveau-cycle-4","8":"niveau-lycee","9":"type_situation-sdrp","10":"theme_maths-espace-et-geometrie","11":"probleme_associe-la-riviere","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=106\" rel=\"category\">SDRP<\/a>","rttpg_excerpt":"Trouver le point M pour que le trajet de A \u00e0 B en passant par la rivi\u00e8re soit le plus petit possible","_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3368","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=3368"}],"version-history":[{"count":11,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3368\/revisions"}],"predecessor-version":[{"id":3774,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=\/wp\/v2\/posts\/3368\/revisions\/3774"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3368"},{"taxonomy":"niveau","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fniveau&post=3368"},{"taxonomy":"type_situation","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype_situation&post=3368"},{"taxonomy":"theme_maths","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftheme_maths&post=3368"},{"taxonomy":"probleme_associe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Fprobleme_associe&post=3368"},{"taxonomy":"type-expe","embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/dream\/index.php?rest_route=%2Fwp%2Fv2%2Ftype-expe&post=3368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}