{"id":6211,"date":"2021-07-11T05:00:30","date_gmt":"2021-07-11T04:00:30","guid":{"rendered":"https:\/\/humm.loverde.fr\/?p=6211"},"modified":"2023-04-11T14:06:59","modified_gmt":"2023-04-11T13:06:59","slug":"la-preuve-par-9","status":"publish","type":"post","link":"https:\/\/humm.loverde.fr\/?p=6211","title":{"rendered":"La preuve par 9"},"content":{"rendered":"

11\/07
\nD\u00e9roulement du tour, sans justification math\u00e9matique.
\nJe suis tomb\u00e9 sur ce tour de carte math\u00e9matique pas tout \u00e0 fait par hasard. J’ai toujours aim\u00e9 les maths m\u00eame si je suis devenu prof de physique. Les tours de carte math\u00e9matiques sont plut\u00f4t rares.<\/p>\n

Au d\u00e9part je n’avais rien compris donc je me suis senti oblig\u00e9 de r\u00e9\u00e9crire apr\u00e8s avoir fini par trouver le bon d\u00e9roulement. Pour une meilleure compr\u00e9hension je me suis plac\u00e9 du point de vue du manipulateur.
\nLa d\u00e9monstration n’est pas l’objet de cet article mais vous pouvez toujours m’\u00e9crire si vous \u00eates int\u00e9ress\u00e9 ou aller sur le site source.<\/p>\n

Vous \u00eates le manipulateur. Pr\u00e9voir un crayon et une feuille de papier.<\/p>\n

Faire \u00e9crire<\/strong> \u00e0 un spectateur un nombre de 4 chiffres.<\/p>\n

Op\u00e9rations<\/strong> :
\n\u2022 Lui demander de faire la somme des 4 chiffres.
\n\u2022 Puis de soustraire cette somme du nombre choisit au d\u00e9part.<\/p>\n

Demander<\/strong> au spectateur de choisir pour repr\u00e9senter le r\u00e9sultat, des cartes de diff\u00e9rentes couleur sans les montrer au manipulateur. S’il y a un Z\u00e9ro le repr\u00e9senter par un 10.<\/p>\n

Demander<\/strong> au spectateur d’enlever une carte et de montrer les 3 restantes dans un ordre quelconque.<\/p>\n

Vous allez deviner<\/strong>, vous le manipulateur, la carte enlev\u00e9e. Comment ?<\/p>\n

Vous faites la somme des trois chiffres restants et cherchez le plus petit chiffre qu’il faut ajouter pour obtenir un multiple de 9, c’est la carte enlev\u00e9e.
\nVous n’avez rien compris ?<\/p>\n

Voici un exemple<\/strong> :
\nChoix du nombre initial : 1597
\nLa somme : 22
\nR\u00e9sultat de la soustraction : 1575
\nRepr\u00e9sent\u00e9 par un as de ♠, un 5 de ♣, un 7 de ♥ et un 5 de ♦ :<\/p>\n

As♠-5♣-7♥-5♦<\/p>\n

Supposons que la carte enlev\u00e9e soit le 5♣, sur le tapis il reste donc :
\nAs♠-7♥-5♦
\nComment trouver la carte enlev\u00e9e ?
\nIl faut faire la somme des 3 chiffres pr\u00e9sent\u00e9s : 13
\nLe plus proche multiple de 9 est 18.
\nIl faut ajouter combien \u00e0 13 pour obtenir 18 ? 5.
\nDonc la carte enlev\u00e9e est un 5 !<\/p>\n

Source : https:\/\/www.apprendremagie.com\/5-tours-de-magie-utilisant-les-maths<\/a>\/<\/p>\n

Christian
\nbit.ly\/3e3jm4Y<\/a><\/p>\n

\"\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

11\/07 D\u00e9roulement du tour, sans justification math\u00e9matique. Je suis tomb\u00e9 sur ce tour de carte math\u00e9matique pas tout \u00e0 fait … <\/p>\n","protected":false},"author":1,"featured_media":6214,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[1422,1222],"tags":[1229,1257,189],"class_list":["post-6211","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-insolite","category-jeux","tag-carte","tag-preuve-par-9","tag-tour"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9whbF-1Cb","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":5827,"url":"https:\/\/humm.loverde.fr\/?p=5827","url_meta":{"origin":6211,"position":0},"title":"Trouver la carte","author":"cloverde","date":"27 f\u00e9vrier 2021","format":false,"excerpt":"L'objectif est de faire m\u00e9moriser une carte sans la toucher ni la sortir du paquet et de la retrouver. Donc il n'y a aucune astuce de manipulation possible. Je me souviens de ce tour que je faisait quand j'\u00e9tais plus jeune, beaucoup plus jeune, j'\u00e9tais me semble-t-il encore au lyc\u00e9e\u2026","rel":"","context":"Dans "insolite"","block_context":{"text":"insolite","link":"https:\/\/humm.loverde.fr\/?cat=1422"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/humm.loverde.fr\/wp-content\/uploads\/2021\/01\/IMG_2021-1-28_9-9-9_253.jpg?fit=1200%2C554&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/humm.loverde.fr\/wp-content\/uploads\/2021\/01\/IMG_2021-1-28_9-9-9_253.jpg?fit=1200%2C554&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/humm.loverde.fr\/wp-content\/uploads\/2021\/01\/IMG_2021-1-28_9-9-9_253.jpg?fit=1200%2C554&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/humm.loverde.fr\/wp-content\/uploads\/2021\/01\/IMG_2021-1-28_9-9-9_253.jpg?fit=1200%2C554&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/humm.loverde.fr\/wp-content\/uploads\/2021\/01\/IMG_2021-1-28_9-9-9_253.jpg?fit=1200%2C554&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":5949,"url":"https:\/\/humm.loverde.fr\/?p=5949","url_meta":{"origin":6211,"position":1},"title":"Le 13 porte chance","author":"cloverde","date":"13 f\u00e9vrier 2021","format":false,"excerpt":"Un petit tour de carte r\u00e9alisable \u00e0 distance. 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