{"id":3763,"date":"2018-05-26T16:39:34","date_gmt":"2018-05-26T15:39:34","guid":{"rendered":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/?p=3763"},"modified":"2018-05-29T09:44:35","modified_gmt":"2018-05-29T08:44:35","slug":"le-paradoxe-de-la-grenouille","status":"publish","type":"post","link":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/le-paradoxe-de-la-grenouille\/","title":{"rendered":"Le paradoxe de la grenouille"},"content":{"rendered":"<h2><strong>R\u00e9sum\u00e9<\/strong><\/h2>\n<p>Il s\u2019agit de simuler un saut de grenouille rectiligne de longueur al\u00e9atoire puis de calculer la longueur totale parcourue. On demande ensuite la longueur moyenne parcourue en deux sauts puis on d\u00e9termine une condition d\u2019arr\u00eat avec le nombre de sauts n\u00e9cessaires pour atteindre la mare.<\/p>\n<p>La d\u00e9termination du nombre de sauts moyens n\u00e9cessaires pour atteindre la mare met en \u00e9vidence un r\u00e9sultat qui n\u2019est pas attendu !!!<\/p>\n<h2><strong>Th\u00e8mes math\u00e9matiques mis en jeu<\/strong><\/h2>\n<p>Probabilit\u00e9s<\/p>\n<p>Simulation du hasard<\/p>\n<p>Calcul de moyenne<\/p>\n<h2><strong>Notions d\u2019algorithmique\/programmation mises en jeu<\/strong><\/h2>\n<p>Simulation du hasard<\/p>\n<p>Test conditionnel<\/p>\n<p>Boucle born\u00e9e<\/p>\n<p>Boucle non born\u00e9e<\/p>\n<p>Notion de fonction<\/p>\n<h2><strong>Fichiers<\/strong><\/h2>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2018\/05\/Le-paradoxe-de-la-grenouille.pdf\">Le paradoxe de la grenouille Fiche \u00e9l\u00e8ve en PDF<\/a><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2018\/05\/Le-paradoxe-de-la-grenouille.docx\">Le paradoxe de la grenouille Fiche \u00e9l\u00e8ve en WORD<\/a><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2018\/05\/Le-paradoxe-de-la-grenouille-El\u00e9ments-de-conduite-de-s\u00e9ance-et-de-correction.pdf\">Le paradoxe de la grenouille Elements de conduite de la s\u00e9ance et de correction<\/a><\/p>\n<p><a href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-content\/uploads\/sites\/3\/2018\/05\/Le-paradoxe-de-la-grenouille-Fichiers-PYTHON.zip\">Fichiers PYTHON<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R\u00e9sum\u00e9 Il s\u2019agit de simuler un saut de grenouille rectiligne de longueur al\u00e9atoire puis de calculer la longueur totale parcourue. On demande ensuite la longueur moyenne parcourue en deux sauts puis on d\u00e9termine une condition d\u2019arr\u00eat avec le nombre de sauts n\u00e9cessaires pour atteindre la mare. La d\u00e9termination du nombre de sauts moyens n\u00e9cessaires pour &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/le-paradoxe-de-la-grenouille\/\">Lire la suite<\/a><\/p>\n","protected":false},"author":38,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3763","post","type-post","status-publish","format-standard","hentry","category-non-classe","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/3763","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/users\/38"}],"replies":[{"embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/comments?post=3763"}],"version-history":[{"count":4,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/3763\/revisions"}],"predecessor-version":[{"id":3876,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/posts\/3763\/revisions\/3876"}],"wp:attachment":[{"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/media?parent=3763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/categories?post=3763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ent2d.ac-bordeaux.fr\/disciplines\/mathematiques\/wp-json\/wp\/v2\/tags?post=3763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}