{"id":52,"date":"2024-09-21T06:50:00","date_gmt":"2024-09-21T04:50:00","guid":{"rendered":"http:\/\/maths-chambon.fr\/?p=52"},"modified":"2026-01-14T14:08:47","modified_gmt":"2026-01-14T12:08:47","slug":"programme-de-colles-mis-a-jour","status":"publish","type":"post","link":"https:\/\/maths-chambon.fr\/?p=52","title":{"rendered":"Des math\u00e9matiques CULTURELLES :"},"content":{"rendered":"

Lecture<\/span> :\u00a0 \u00a0<\/span>1) <\/span><\/strong>Hist. Alg\u00e8bre<\/strong><\/span><\/a>\u00a0 (cliquer, 4 p.)\u00a0 \u00a0 <\/span><\/span><\/span><\/span><\/span>2)<\/span><\/strong>\u00a0Nombre d’or_NDR<\/strong><\/span><\/a><\/p>\n

3)<\/span><\/strong> Math\u00e9matiques_art_travail<\/span><\/strong><\/a>\u00a0 \u00a0 \u00a0 4) Alg\u00e8bre, Analyse, G\u00e9om\u00e9trie CIM<\/a><\/span><\/span><\/strong><\/p>\n

5)<\/span> Par Lucien S. Les entiers friables<\/a><\/span><\/strong>\u00a0 \u00a0 6) Carr\u00e9_Magique Albrecht DURER<\/a><\/span><\/strong><\/span><\/p>\n

————————————————————————————————————————<\/span><\/p>\n

Un exercice<\/span> :\u00a0<\/span><\/strong>Choisir un 1er nombre u_1; un 2\u00e8me: u_2;\u00a0 puis ajouter les 2 pr\u00e9c\u00e9dents: <\/strong>u_3=u_1+u_2; u_4=u_2+u_3,\u2026 Ajouter les 10 premiers nombres et trouver chaque fois: 11 fois le 7\u00e8me ! <\/strong>Est-ce toujours vrai ? Preuve ?
<\/strong><\/span><\/p>\n

Remarques:<\/span><\/span><\/strong> 1. <\/strong>Avec u_1=u_2=1, c\u2019est la c\u00e9l\u00e8bre \u201csuite de Fibonacci<\/span><\/a>\u201d…<\/strong><\/span><\/p>\n

2.<\/strong> Le rapport de deux termes cons\u00e9cutifs de cette suite tend vers le\u00a0 \u201cNombre d\u2019Or<\/span><\/a>\u201d : (1+5^(1\/2) )\/2=1,618… <\/strong> essentiel en peinture, sculpture, architecture\u2026 <\/span><\/p>\n

3.<\/strong> Voir Le Parth\u00e9non<\/strong><\/span><\/a> (cliquer)<\/span>; ensuite un rectangle d’or<\/strong> :<\/span> (a\/b=b\/(a-b) car rectangles semblables donc a\/b=x=1\/(x-1) d’o\u00f9 x= 1,618…<\/span><\/strong> et puis encore de L\u00e9onard de Vinci<\/strong> : …<\/span> \u00ab\u00a0L’Annonciation\u00a0\u00bb<\/strong><\/span>\u00a0…<\/span> (par ex.)<\/span> ..<\/span>.<\/span>\"\"<\/a><\/span>\u00a0 \u00a0\"L\u2019Annonciation<\/a><\/p>\n

———————————————————————————————————————–<\/span><\/p>\n

Des compl\u00e9ments<\/span>. Art et G\u00e9om\u00e9trie :<\/span><\/span>\u00a0<\/strong>Naissance de la perspective<\/strong><\/span><\/a><\/p>\n

et aussi (Terminale Litt\u00e9raire !)<\/span>\u00a0La perspective \u00e0 point de fuite<\/span><\/a><\/span><\/strong> \u00a0<\/p>\n\n\n

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

Lecture :\u00a0 \u00a01) Hist. Alg\u00e8bre\u00a0 (cliquer, 4 p.)\u00a0 \u00a0 2)\u00a0Nombre d’or_NDR 3) Math\u00e9matiques_art_travail\u00a0 \u00a0 \u00a0 4) Alg\u00e8bre, Analyse, G\u00e9om\u00e9trie CIM 5) Par Lucien S. Les entiers friables\u00a0 \u00a0 6) Carr\u00e9_Magique Albrecht DURER ———————————————————————————————————————— Un exercice :\u00a0Choisir un 1er nombre u_1; un 2\u00e8me: u_2;\u00a0 puis ajouter les 2 pr\u00e9c\u00e9dents: u_3=u_1+u_2; u_4=u_2+u_3,\u2026 Ajouter les 10 premiers nombres […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,3],"tags":[],"class_list":["post-52","post","type-post","status-publish","format-standard","hentry","category-non-classe","category-tipe"],"yoast_head":"\nDes math\u00e9matiques CULTURELLES : - Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/maths-chambon.fr\/?p=52\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Des math\u00e9matiques CULTURELLES : - Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon\" \/>\n<meta property=\"og:description\" content=\"Lecture :\u00a0 \u00a01) Hist. Alg\u00e8bre\u00a0 (cliquer, 4 p.)\u00a0 \u00a0 2)\u00a0Nombre d’or_NDR 3) Math\u00e9matiques_art_travail\u00a0 \u00a0 \u00a0 4) Alg\u00e8bre, Analyse, G\u00e9om\u00e9trie CIM 5) Par Lucien S. Les entiers friables\u00a0 \u00a0 6) Carr\u00e9_Magique Albrecht DURER ———————————————————————————————————————— Un exercice :\u00a0Choisir un 1er nombre u_1; un 2\u00e8me: u_2;\u00a0 puis ajouter les 2 pr\u00e9c\u00e9dents: u_3=u_1+u_2; u_4=u_2+u_3,\u2026 Ajouter les 10 premiers nombres […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/maths-chambon.fr\/?p=52\" \/>\n<meta property=\"og:site_name\" content=\"Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon\" \/>\n<meta property=\"article:published_time\" content=\"2024-09-21T04:50:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-01-14T12:08:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/maths-chambon.fr\/wp-content\/uploads\/2024\/09\/Rectangle-dor.png\" \/>\n\t<meta property=\"og:image:width\" content=\"272\" \/>\n\t<meta property=\"og:image:height\" content=\"185\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/maths-chambon.fr\/?p=52\",\"url\":\"https:\/\/maths-chambon.fr\/?p=52\",\"name\":\"Des math\u00e9matiques CULTURELLES : - Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon\",\"isPartOf\":{\"@id\":\"https:\/\/maths-chambon.fr\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/maths-chambon.fr\/?p=52#primaryimage\"},\"image\":{\"@id\":\"https:\/\/maths-chambon.fr\/?p=52#primaryimage\"},\"thumbnailUrl\":\"http:\/\/maths-chambon.fr\/wp-content\/uploads\/2024\/09\/Rectangle-dor-150x150.png\",\"datePublished\":\"2024-09-21T04:50:00+00:00\",\"dateModified\":\"2026-01-14T12:08:47+00:00\",\"author\":{\"@id\":\"https:\/\/maths-chambon.fr\/#\/schema\/person\/2a92a16ef8a14b983f402a3ffae216bb\"},\"breadcrumb\":{\"@id\":\"https:\/\/maths-chambon.fr\/?p=52#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/maths-chambon.fr\/?p=52\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/maths-chambon.fr\/?p=52#primaryimage\",\"url\":\"https:\/\/maths-chambon.fr\/wp-content\/uploads\/2024\/09\/Rectangle-dor.png\",\"contentUrl\":\"https:\/\/maths-chambon.fr\/wp-content\/uploads\/2024\/09\/Rectangle-dor.png\",\"width\":272,\"height\":185},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/maths-chambon.fr\/?p=52#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/maths-chambon.fr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Des math\u00e9matiques CULTURELLES :\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/maths-chambon.fr\/#website\",\"url\":\"https:\/\/maths-chambon.fr\/\",\"name\":\"Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon\",\"description\":\"WebBlog et plateforme d'information\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/maths-chambon.fr\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/maths-chambon.fr\/#\/schema\/person\/2a92a16ef8a14b983f402a3ffae216bb\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/maths-chambon.fr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/7b0e64ef615ac850fbc738bf0fcc890d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/7b0e64ef615ac850fbc738bf0fcc890d?s=96&d=mm&r=g\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/\"],\"url\":\"https:\/\/maths-chambon.fr\/?author=1\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Des math\u00e9matiques CULTURELLES : - Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/maths-chambon.fr\/?p=52","og_locale":"fr_FR","og_type":"article","og_title":"Des math\u00e9matiques CULTURELLES : - Maths-pr\u00e9pas, L1-L3; Histoire locale (43) Henri Chambon","og_description":"Lecture :\u00a0 \u00a01) Hist. 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