{"id":4019,"date":"2019-03-29T16:09:36","date_gmt":"2019-03-29T12:09:36","guid":{"rendered":"http:\/\/college-bernica.ac-reunion.fr\/?p=4019"},"modified":"2019-04-01T11:39:49","modified_gmt":"2019-04-01T07:39:49","slug":"solutions-des-enigmes-du-vendredi","status":"publish","type":"post","link":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/solutions-des-enigmes-du-vendredi\/","title":{"rendered":"Solutions des \u00e9nigmes du vendredi:"},"content":{"rendered":"

Enigme du vendredi : niveau 6<\/b>\u00e8me<\/b><\/sup>\/5<\/b>\u00e8me<\/b><\/sup><\/p>\n

La pes\u00e9e<\/b><\/span><\/span><\/p>\n

Le principe est de faire 3 groupes de boules identiques \u00e0 chaque fois\u00a0: on en place 2 sur les 2 plateaux et on compare.<\/span><\/span><\/p>\n

1<\/span><\/span>\u00e8re<\/span><\/span><\/sup> pes\u00e9e\u00a0:<\/span><\/span><\/p>\n

132 = 3 \u00d7 54\u00a0; 3 groupes de 54 boules<\/span><\/span><\/p>\n

On place 2 groupes sur chacun des 2 plateaux, on d\u00e9termine dans quel groupe de 54 se trouve la boule la plus lourde.<\/span><\/span><\/p>\n

Si la balance est en \u00e9quilibre, c\u2019est dans le groupe non plac\u00e9e sur la balance, sinon c\u2019est dans le plateau le plus lourd.<\/span><\/span><\/p>\n

2<\/span><\/span>\u00e8me<\/span><\/span><\/sup> pes\u00e9e\u00a0:<\/span><\/span><\/p>\n

54 = 3 \u00d7 18\u00a0; 3 groupes de 18 boules<\/span><\/span><\/p>\n

De m\u00eame on d\u00e9termine dans quel groupe de 18 boules se trouve la boule la plus lourde.<\/span><\/span><\/p>\n

3<\/span><\/span>\u00e8me<\/span><\/span><\/sup> pes\u00e9e\u00a0:<\/span><\/span><\/p>\n

18 = 3 \u00d7 6<\/span><\/span><\/p>\n

De m\u00eame, on d\u00e9termine dans quel groupe de 6 boules se trouve la boule la plus lourde.<\/span><\/span><\/p>\n

4<\/span><\/span>\u00e8me<\/span><\/span><\/sup> pes\u00e9e\u00a0:<\/span><\/span><\/p>\n

6 = 3 \u00d7 2<\/span><\/span><\/p>\n

De m\u00eame, on d\u00e9termine dans quel groupe de 2 boules se trouve la boule la plus lourde.<\/span><\/span><\/p>\n

5<\/span><\/span>\u00e8me<\/span><\/span><\/sup> pes\u00e9e\u00a0:<\/span><\/span><\/p>\n

On place une boule dans chaque plateau et on trouve la boule la plus lourde\u00a0!<\/span><\/span><\/p>\n

Au total, il a fallu 5 pes\u00e9es.<\/span><\/span><\/p>\n

L\u2019ampoule<\/b><\/span><\/span><\/p>\n

On appuie sur le 1<\/span><\/span>er<\/span><\/span><\/sup> interrupteur assez longtemps. <\/span><\/span><\/p>\n

On \u00e9teint puis on appuie sur le 2<\/span><\/span>\u00e8me<\/span><\/span><\/sup> interrupteur.<\/span><\/span><\/p>\n

On entre dans la pi\u00e8ce.<\/span><\/span><\/p>\n

<\/a> Soit l\u2019ampoule est allum\u00e9e et c\u2019est donc le 2<\/span><\/span>\u00e8me<\/span><\/span><\/sup> interrupteur\u00a0.<\/span><\/span><\/p>\n

Soit l\u2019ampoule est \u00e9teinte mais chaude, ce qui signifie que c\u2019est le 1<\/span><\/span>er<\/span><\/span><\/sup> interrupteur qui allume l\u2019ampoule.<\/span><\/span><\/p>\n

Soit l\u2019ampoule est \u00e9teinte et froide, ce qui signifie que c\u2019est le 3<\/span><\/span>\u00e8me<\/span><\/span><\/sup> interrupteur qui allume l\u2019ampoule.<\/span><\/span><\/p>\n

 <\/p>\n

Enigme du vendredi : niveau 4<\/b>\u00e8me<\/b><\/sup>\/3<\/b>\u00e8me<\/b><\/sup><\/p>\n

La longueur des c\u00f4t\u00e9s de cette pi\u00e8ce carr\u00e9e est \u00e0 peu pr\u00e8s 10,24 m. La valeur exacte et 6 + \"\"72 .<\/p>\n","protected":false},"excerpt":{"rendered":"

Enigme du vendredi : niveau 6\u00e8me\/5\u00e8me La pes\u00e9e Le principe est de faire 3 groupes de boules identiques \u00e0 chaque fois\u00a0: on en place 2 sur les 2 plateaux et on compare. 1\u00e8re pes\u00e9e\u00a0: 132 = 3 \u00d7 54\u00a0; 3 groupes de 54 boules On place 2 groupes sur chacun…<\/p>\n

Poursuivre la lecture<\/span><\/i><\/a> <\/p>\n","protected":false},"author":3566,"featured_media":4022,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[],"class_list":["post-4019","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths"],"_links":{"self":[{"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/posts\/4019","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/users\/3566"}],"replies":[{"embeddable":true,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/comments?post=4019"}],"version-history":[{"count":2,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/posts\/4019\/revisions"}],"predecessor-version":[{"id":4024,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/posts\/4019\/revisions\/4024"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/media\/4022"}],"wp:attachment":[{"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/media?parent=4019"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/categories?post=4019"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/etab.ac-reunion.fr\/clg-le-bernica\/wp-json\/wp\/v2\/tags?post=4019"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}