{"id":1903,"date":"2023-11-22T21:00:12","date_gmt":"2023-11-22T20:00:12","guid":{"rendered":"http:\/\/localhost:8080\/maxblog\/?p=1903"},"modified":"2023-11-22T23:41:26","modified_gmt":"2023-11-22T22:41:26","slug":"resoudre-des-problemes-de-geometrie","status":"publish","type":"post","link":"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/","title":{"rendered":"R\u00e9soudre des probl\u00e8mes de g\u00e9om\u00e9trie"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1903\" class=\"elementor elementor-1903\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7d71a4a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7d71a4a\" 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-389cd7d\" data-id=\"389cd7d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a8169f1 elementor-widget elementor-widget-spacer\" data-id=\"a8169f1\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\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<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7643655 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7643655\" 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-f297427\" data-id=\"f297427\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-361d80f elementor-widget elementor-widget-heading\" data-id=\"361d80f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-xl\">R\u00e9soudre des probl\u00e8mes de g\u00e9om\u00e9trie<\/div>\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<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c2bda19 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c2bda19\" 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-d178bc4\" data-id=\"d178bc4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\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-de06178 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"de06178\" 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-cc24190\" data-id=\"cc24190\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\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-b7c611b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b7c611b\" 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-9a7e2c2\" data-id=\"9a7e2c2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fffe349 nc-justify-text elementor-widget elementor-widget-text-editor\" data-id=\"fffe349\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#Introduction\" >Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#Cours\" >Cours<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#1_Projete_orthogonal_dun_point_sur_une_droite\" >1. Projet\u00e9 orthogonal d\u2019un point sur une droite<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#Methodes\" >M\u00e9thodes<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#1_Resoudre_des_problemes_de_geometrie_plane_sur_des_figures_simples_ou_complexes\" >1. R\u00e9soudre des probl\u00e8mes de g\u00e9om\u00e9trie plane sur des figures simples ou\ncomplexes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#2_Calculer_des_longueurs_des_angles_des_aires_et_des_volumes\" >2. Calculer des longueurs, des angles, des aires et des volumes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.maxdecours.com\/maxblog\/resoudre-des-problemes-de-geometrie\/#3_Problemes_doptimisation\" >3. Probl\u00e8mes d\u2019optimisation<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"Introduction\"><\/span>Introduction<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">La r\u00e9solution de probl\u00e8mes de g\u00e9om\u00e9trie requiert une\ncompr\u00e9hension des principes fondamentaux, mais aussi de la pratique pour\nreconna\u00eetre et appliquer les bonnes m\u00e9thodes.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h1><span class=\"ez-toc-section\" id=\"Cours\"><\/span>Cours<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h2><span class=\"ez-toc-section\" id=\"1_Projete_orthogonal_dun_point_sur_une_droite\"><\/span>1. Projet\u00e9 orthogonal d\u2019un point sur une droite<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\"><b>D\u00e9finition<\/b> : Le projet\u00e9 orthogonal d\u2019un point <span class=\"katex-eq\" data-katex-display=\"false\">\nA <\/span> sur une droite <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span> est le point <span class=\"katex-eq\" data-katex-display=\"false\"> H <\/span>\nde <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span> tel que <span class=\"katex-eq\" data-katex-display=\"false\"> AH <\/span> soit perpendiculaire \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\">\n(d) <\/span>.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\"><b>Propri\u00e9t\u00e9<\/b> : Si <span class=\"katex-eq\" data-katex-display=\"false\"> H <\/span> est le projet\u00e9\northogonal de <span class=\"katex-eq\" data-katex-display=\"false\"> A <\/span> sur <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span>, alors <span class=\"katex-eq\" data-katex-display=\"false\"> AH <\/span>\nest la plus petite distance de <span class=\"katex-eq\" data-katex-display=\"false\"> A <\/span> \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span>.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\"><b>M\u00e9thode de construction<\/b> : Pour construire le projet\u00e9\northogonal de <span class=\"katex-eq\" data-katex-display=\"false\"> A <\/span> sur <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span> :<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">1. Tracez une droite passant par <span class=\"katex-eq\" data-katex-display=\"false\"> A <\/span> et\nperpendiculaire \u00e0 <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span>.<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">2. Le point d&rsquo;intersection de cette droite avec <span class=\"katex-eq\" data-katex-display=\"false\"> (d) <\/span>\nest <span class=\"katex-eq\" data-katex-display=\"false\"> H <\/span>, le projet\u00e9 orthogonal de <span class=\"katex-eq\" data-katex-display=\"false\"> A <\/span>.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h1><span class=\"ez-toc-section\" id=\"Methodes\"><\/span>M\u00e9thodes<span class=\"ez-toc-section-end\"><\/span><\/h1>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h2><span class=\"ez-toc-section\" id=\"1_Resoudre_des_problemes_de_geometrie_plane_sur_des_figures_simples_ou_complexes\"><\/span>1. R\u00e9soudre des probl\u00e8mes de g\u00e9om\u00e9trie plane sur des figures simples ou\ncomplexes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">a. <b>Triangles<\/b> :<\/p>\n\n<p class=\"MsoNormal\">&#8211; Utilisez le th\u00e9or\u00e8me de Pythagore pour les triangles\nrectangles.<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">&#8211; Utilisez le th\u00e9or\u00e8me de Thal\u00e8s.<\/p>\n\n<p class=\"MsoNormal\"><br>\n&#8211; Pour les aires : <span class=\"katex-eq\" data-katex-display=\"false\"> A = \\frac{1}{2} \\times base \\times hauteur <\/span><\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">b. <b>Quadrilat\u00e8res<\/b> :<\/p>\n\n<p class=\"MsoNormal\">&#8211; Divisez-les en triangles pour calculer des aires.<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">&#8211; Utilisez les propri\u00e9t\u00e9s des parall\u00e9logrammes, rectangles,\ncarr\u00e9s et trap\u00e8zes pour d\u00e9duire des angles ou des c\u00f4t\u00e9s.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">c. <b>Cercles<\/b> :<\/p>\n\n<p class=\"MsoNormal\">&#8211; Utilisez la propri\u00e9t\u00e9 des angles inscrits&nbsp;:<\/p>\n\n<p class=\"MsoNormal\"><br>\nL&rsquo;angle inscrit dans un cercle est \u00e9gal \u00e0 la moiti\u00e9 de l&rsquo;angle au centre\ncorrespondant au m\u00eame arc.<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">&#8211; Aire : <span class=\"katex-eq\" data-katex-display=\"false\"> A = \\pi r^2 <\/span><\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h2><span class=\"ez-toc-section\" id=\"2_Calculer_des_longueurs_des_angles_des_aires_et_des_volumes\"><\/span>2. Calculer des longueurs, des angles, des aires et des volumes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">a. <b>Longueurs<\/b> : <\/p>\n\n<p class=\"MsoNormal\">&#8211; Utilisez le th\u00e9or\u00e8me de Pythagore pour les triangles\nrectangles.<\/p>\n\n<p class=\"MsoNormal\"><br>\n&#8211; Pour les cercles, le diam\u00e8tre est <span class=\"katex-eq\" data-katex-display=\"false\"> 2r <\/span> et la circonf\u00e9rence est\n<span class=\"katex-eq\" data-katex-display=\"false\"> 2\\pi r <\/span>.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">b. <b>Angles<\/b> :<\/p>\n\n<p class=\"MsoNormal\">&#8211; Pour des triangles : La somme des angles est 180\u00b0.<\/p>\n\n<p class=\"MsoNormal\"><br>\n&#8211; Pour des quadrilat\u00e8res : La somme est 360\u00b0.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">c. <b>Aires<\/b> :<\/p>\n\n<p class=\"MsoNormal\">&#8211; Triangles : <span class=\"katex-eq\" data-katex-display=\"false\"> A = \\frac{1}{2} \\times base \\times\nhauteur <\/span><br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">&#8211; Cercle : <span class=\"katex-eq\" data-katex-display=\"false\"> A = \\pi r^2 <\/span><\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">d. <b>Volumes<\/b> :<\/p>\n\n<p class=\"MsoNormal\">Pour les solides courants apprenez et utilisez leurs\nformules respectives&nbsp;:<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>Parall\u00e9l\u00e9pip\u00e8de rectangle (ou pav\u00e9 droit)<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = l \\times L \\times h <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> l <\/span>\nest la longueur, <span class=\"katex-eq\" data-katex-display=\"false\"> L <\/span> est la largeur, et <span class=\"katex-eq\" data-katex-display=\"false\"> h <\/span> est\nla hauteur.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>Cube<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = c^3 <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> c <\/span> est la\nlongueur du c\u00f4t\u00e9 du cube.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>Cylindre<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = \\pi r^2 h <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> r <\/span> est le\nrayon de la base circulaire et <span class=\"katex-eq\" data-katex-display=\"false\"> h <\/span> est la hauteur.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>C\u00f4ne<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = \\frac{1}{3} \\pi r^2 h <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> r <\/span>\nest le rayon de la base circulaire et <span class=\"katex-eq\" data-katex-display=\"false\"> h <\/span> est la hauteur.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>Sph\u00e8re<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = \\frac{4}{3} \\pi r^3 <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> r <\/span>\nest le rayon de la sph\u00e8re.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">&#8211; <b>Pyramide<\/b> :<\/p>\n\n<p class=\"MsoNormal\"><span class=\"katex-eq\" data-katex-display=\"false\"> V = \\frac{1}{3} B h <\/span> o\u00f9 <span class=\"katex-eq\" data-katex-display=\"false\"> B <\/span>\nest l&rsquo;aire de la base et <span class=\"katex-eq\" data-katex-display=\"false\"> h <\/span> est la hauteur perpendiculaire \u00e0 la\nbase.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<h2><span class=\"ez-toc-section\" id=\"3_Problemes_doptimisation\"><\/span>3. Probl\u00e8mes d\u2019optimisation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\">L&rsquo;optimisation consiste \u00e0 trouver les valeurs qui maximisent\nou minimisent une certaine quantit\u00e9, en utilisant des techniques alg\u00e9briques et\ngraphiques simples.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\"><b>Exemple<\/b> : Trouver les dimensions d&rsquo;une bo\u00eete\nrectangulaire avec un volume maximal pour une surface ext\u00e9rieure donn\u00e9e.<\/p>\n\n<p class=\"MsoNormal\">&nbsp;<\/p>\n\n<p class=\"MsoNormal\"><b>M\u00e9thode<\/b> :<\/p>\n\n<p class=\"MsoNormal\">1. \u00c9tablissez une \u00e9quation pour ce que vous essayez\nd&rsquo;optimiser (par exemple, le volume de la bo\u00eete <span class=\"katex-eq\" data-katex-display=\"false\">V = l \\times L \\times h<\/span>)\net une \u00e9quation pour les contraintes (par exemple, la surface ext\u00e9rieure <span class=\"katex-eq\" data-katex-display=\"false\">S\n= 2lh + 2Lh + 2lL<\/span>).<br style=\"mso-special-character:line-break\">\n<br style=\"mso-special-character:line-break\">\n<\/p>\n\n<p class=\"MsoNormal\">2. Exprimez une des variables en termes des autres \u00e0 partir\nde l&rsquo;\u00e9quation des contraintes (par exemple, exprimez la hauteur <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span>\nen termes de la longueur <span class=\"katex-eq\" data-katex-display=\"false\">l<\/span> et de la largeur <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span>).<\/p>\n\n<p class=\"MsoNormal\"><br>\n3. Substituez cette expression dans votre \u00e9quation initiale pour obtenir une\n\u00e9quation avec moins d&rsquo;inconnues.<\/p>\n\n<p class=\"MsoNormal\"><br>\n4. 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data-id=\"789777a\" 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-dd93843\" data-id=\"dd93843\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\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-b1d0d5c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b1d0d5c\" 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-7e963bc\" data-id=\"7e963bc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\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-40909d1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"40909d1\" 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-3a01f62\" data-id=\"3a01f62\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>R\u00e9soudre des probl\u00e8mes de g\u00e9om\u00e9trie Introduction &nbsp; La r\u00e9solution de probl\u00e8mes de g\u00e9om\u00e9trie requiert une compr\u00e9hension des principes fondamentaux, mais aussi de la pratique pour reconna\u00eetre et appliquer les bonnes m\u00e9thodes. &nbsp; Cours &nbsp; 1. Projet\u00e9 orthogonal d\u2019un point sur une droite &nbsp; D\u00e9finition : Le projet\u00e9 orthogonal d\u2019un point sur une droite est le [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_canvas","format":"standard","meta":{"footnotes":""},"categories":[25,26,5],"tags":[],"_links":{"self":[{"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/posts\/1903"}],"collection":[{"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/comments?post=1903"}],"version-history":[{"count":19,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/posts\/1903\/revisions"}],"predecessor-version":[{"id":2003,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/posts\/1903\/revisions\/2003"}],"wp:attachment":[{"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/media?parent=1903"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/categories?post=1903"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.maxdecours.com\/maxblog\/wp-json\/wp\/v2\/tags?post=1903"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}