{"id":4422,"date":"2025-02-01T14:14:45","date_gmt":"2025-02-01T13:14:45","guid":{"rendered":"https:\/\/www.gastonternes.eu\/?page_id=4422"},"modified":"2025-07-09T15:55:03","modified_gmt":"2025-07-09T13:55:03","slug":"mpr-solutions-ch-8","status":"publish","type":"page","link":"https:\/\/www.gastonternes.eu\/lu\/mpr-solutions-ch-8\/","title":{"rendered":"Maths: Plaisir et r\u00e9ussite &#8211; Solutions &#8211; Chapitre 8"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"4422\" class=\"elementor elementor-4422\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-760a9ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"760a9ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2765530\" data-id=\"2765530\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9dc4010 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9dc4010\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-28171c2\" data-id=\"28171c2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3a54fd1 elementor-widget elementor-widget-html\" data-id=\"3a54fd1\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t   <!DOCTYPE html>\n<html lang=\"en\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n    <style>\n   .header {\n    display: flex;\n            justify-content: center;\n            align-items: center;\n            padding: 5px 20px;\n            background-color: #22223b;\n            color: white;\n}\n\n .nav-links {\n            list-style: none;\n            display: flex;\n        }\n\n        .nav-links li {\n            margin: 0 15px;\n        }\n\n        .nav-links a {\n            text-decoration: none;\n            color: white;\n            font-size: 18px;\n        }\n\n       \n\n        \/* Anpassung f\u00fcr kleinere Bildschirme *\/\n        @media screen and (max-width: 768px) {\n            .nav-links {\n                display: none;\n                flex-direction: 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.header nav ul li {\n        margin: 10px 0;\n    }\n}\n\n@media (max-width: 480px) {\n    .header nav ul li a {\n        font-size: 16px;\n        padding: 10px 15px;\n    }\n}\n\n  <\/style>\n<\/head>\n\n<body>\n  \n  <div class=\"header\">\n      \n       <nav>\n            <ul>\n               <li><a href=\"https:\/\/www.gastonternes.eu\/lu\/mpr-accueil\/\" target=\"_blank\">Accueil<\/a><\/li>\n                \n                  <li><a href=\"https:\/\/www.gastonternes.eu\/lu\/mpr-auteurs\/\" target=\"_blank\">Auteurs<\/a><\/li>\n                \n                <li><a href=\"mailto:maths.plaisir.reussite@gmail.com\">Contact<\/a><\/li>\n            <\/ul>\n        <\/nav>\n    <\/div>\n    \n    \n    <\/body>\n<\/html>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-603245f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"603245f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-754fa1f\" data-id=\"754fa1f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c727cde elementor-widget elementor-widget-image\" data-id=\"c727cde\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.5.4 - 23-01-2022 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.gastonternes.eu\/wp-content\/uploads\/2024\/07\/Bildschirmfoto-2024-07-03-um-16.36.00.png\" title=\"Bildschirmfoto 2024-07-03 um 16.36.00\" alt=\"Bildschirmfoto 2024-07-03 um 16.36.00\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-39d3ebf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"39d3ebf\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-da8574c\" data-id=\"da8574c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6fac3fe elementor-widget elementor-widget-html\" data-id=\"6fac3fe\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n    <meta charset=\"UTF-8\">\n    <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n    <title>Text Layout Example<\/title>\n    <style>\n        body {\n            font-family: 'Arial', sans-serif;\n            background-color: #f4f4f9;\n            color: #333;\n            margin: 0;\n            padding: 20px;\n        }\n        .container {\n            max-width: 1000px;\n            margin: 0 auto;\n            padding-top: 50px\n            padding: 20px;\n            background-color: #fff;\n            border-radius: 8px;\n            box-shadow: 0 4px 8px rgba(0, 0, 0, 0.1);\n        }\n        h1, h2, h3 {\n           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none;\n            border-radius: 5px;\n        }\n        .button:hover {\n            background-color: #003366;\n        }\n         .fraction {\n            display: inline-block;\n            text-align: center;\n            vertical-align: middle;\n        }\n        .fraction .numerator,\n        .fraction .denominator {\n            display: block;\n        }\n        .fraction .numerator {\n            border-bottom: 1px solid #000;\n        }\n        .fraction .denominator {\n            margin-top: -0.2em;\n        }\n     \n\n@media (max-width: 768px) {\n    .header nav ul {\n        flex-direction: column;\n        align-items: center;\n    }\n\n    .header nav ul li {\n        margin: 10px 0;\n    }\n}\n\n@media (max-width: 480px) {\n    .header nav ul li a {\n        font-size: 16px;\n        padding: 10px 15px;\n    }\n}\n      \n      table, th, td {\n  border: 1px solid;\n  margin-left: p;\n  margin-right: px;\n}\n        \n    <\/style>\n<\/head>\n<body>\n   \n    \n    <div class=\"container\">\n        \n       \n        \n          <p id=\"Chapitre8\"><h1>Chapitre 8<\/h1><\/p> \n        <p>Vous trouvez ci-dessous toutes les solutions des activit\u00e9s, \u00e9nigmes ou jeux du chapitre 8.<\/p>\n        \n        <p id=\"p273\"><h2>Page 275: Diagramme de Venn sur les formes 3D<\/h2>\n        <p>Tableau r\u00e9capitulatif : \n        <table>\n  <tr>\n    <th><\/th>\n    <th>F1<\/th>\n    <th>F2<\/th>\n    <th>F3<\/th>\n    <th>F4<\/th>\n    <th>F5<\/th>\n    <th>F6<\/th>\n    <th>F7<\/th>\n    <th>F8<\/th>\n    <th>F9<\/th>\n  <\/tr>\n  <tr>\n    <td>Nombre de faces<\/td>\n    <td>6<\/td>\n    <td>6<\/td>\n    <td>1<\/td>\n    <td>3<\/td>\n    <td>5<\/td>\n    <td>30<\/td>\n    <td>4<\/td>\n    <td>8<\/td>\n    <td>16<\/td>\n  <\/tr>\n  <tr>\n    <td>Nombre d'ar\u00eates<\/td>\n    <td>12<\/td>\n    <td>12<\/td>\n    <td>0<\/td>\n    <td>2<\/td>\n    <td>9<\/td>\n    <td>84<\/td>\n    <td>6<\/td>\n    <td>18<\/td>\n    <td>42<\/td>\n  <\/tr>\n<\/table>\n            <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.gastonternes.eu\/wp-content\/uploads\/2025\/02\/p273-Venn.png\" alt=\"Description of Image\" width=\"450\" height=\"100\"><\/p>\n            <\/p>\n        \n        <p id=\"p275\"><h2>Page 277: Les bo\u00eetes au quotidien<\/h2>\n        <p><ul>\n            <li>Volume de la bo\u00eete : 873,8 cm<sup>3<\/sup><\/li>\n            <li>Volume (3 cm) : 1 066,5 cm<sup>3<\/sup> ; Volume (4 cm) : 1 128,4 cm<sup>3<\/sup> ; Volume (5 cm) : 1 083,5 cm<sup>3<\/sup> <\/li>\n            <li>Hauteur qui donne le plus grand volume : 4 cm<\/li>\n        <\/ul><\/p>\n        \n       \n        <p id=\"p278\"><h2>Page 280-281: Activit\u00e9 - Relation d'Euler<\/h2>\n       <ul><li>a. <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.gastonternes.eu\/wp-content\/uploads\/2024\/11\/CORRECTION-TABLEAU.png\" alt=\"Description of Image\" width=\"450\" height=\"100\"><\/li>\n       <li>b.  On a la formule : A = S + F - 2.<br>\nLe tableau sugg\u00e8re que le nombre d'ar\u00eates d'un poly\u00e8dre convexe est \u00e9gal \u00e0 la somme du nombre de sommets et de faces moins deux. Nous parlons de la relation d'Euler, nomm\u00e9e selon le math\u00e9maticien suisse Leonhard Euler (1707-1783) qui l'a introduite. Elle est vraie pour tout poly\u00e8dre convexe ainsi que pour quelques poly\u00e8dres non convexes \u00ab sans trou \u00bb.\n<\/li>\n      \n       <\/ul>\n       \n        <p id=\"p279\"><h2>Page 281: Tour \u00e0 Playa Blanca<\/h2>\n        <p>  <p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.gastonternes.eu\/wp-content\/uploads\/2025\/01\/p279.png\" alt=\"Description of Image\" width=\"450\" height=\"100\"><\/p>\n       \n         <p id=\"p290\"><h2>Page 292: T\u00e9tracubes<\/h2>\n        <p>Il existe huit t\u00e9tracubes diff\u00e9rents : <p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.gastonternes.eu\/wp-content\/uploads\/2025\/02\/ex-en-ligne-tetracubes-solution.png\" alt=\"Description of Image\" width=\"450\" height=\"100\"><\/p>\n        \n        <div class=\"highlight\">\n            <p><\/p>\n        <\/div>\n        \n         \n        \n       \n    <\/div>\n<\/body>\n<\/html>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Accueil Auteurs Contact Text Layout Example Chapitre 8 Vous trouvez ci-dessous toutes les solutions des activit\u00e9s, \u00e9nigmes ou jeux du chapitre 8. Page 275: Diagramme de Venn sur les formes 3D Tableau r\u00e9capitulatif : F1 F2 F3 F4 F5 F6 F7 F8 F9 Nombre de faces 6 6 1 3&#8230;<\/p>","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_canvas","meta":{"footnotes":""},"class_list":["post-4422","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/pages\/4422","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/comments?post=4422"}],"version-history":[{"count":19,"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/pages\/4422\/revisions"}],"predecessor-version":[{"id":5502,"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/pages\/4422\/revisions\/5502"}],"wp:attachment":[{"href":"https:\/\/www.gastonternes.eu\/lu\/wp-json\/wp\/v2\/media?parent=4422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}