{"id":8576,"date":"2023-09-12T11:52:00","date_gmt":"2023-09-12T10:52:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-mathematiques-fonction-affine-niveau-seconde\/"},"modified":"2023-08-21T14:54:26","modified_gmt":"2023-08-21T13:54:26","slug":"exercice-mathematiques-fonction-affine-niveau-seconde","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-mathematiques-fonction-affine-niveau-seconde\/","title":{"rendered":"Exercice Math\u00e9matiques Fonction Affine Niveau Seconde"},"content":{"rendered":"<p>Points importants du cours <img decoding=\"async\" draggable=false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4da.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \u200d \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f468-200d-1f3eb.svg\">:<br \/>&#8211; Une fonction affine est une fonction de la forme f(x) = ax   b o\u00f9 a et b sont des nombres r\u00e9els. <br \/>&#8211; L&rsquo;objectif est d&rsquo;apprendre \u00e0 d\u00e9terminer les coefficients a et b\u00e0 partir d&rsquo;un tableau de valeur ou en r\u00e9solvant un probl\u00e8me.<\/p>\n<p>Consignes pour l&rsquo;exercice <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u23f3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/23f3.svg\">:<br \/>1) Lisez attentivement le probl\u00e8me.<br \/>2) Utilisez vos connaissances sur les fonctions affines pour r\u00e9soudre le probl\u00e8me.<br \/>3) \u00c9changez avec un pair pour comparer vos r\u00e9ponses.<\/p>\n<p>Exercice : Probl\u00e8me de fonction affine <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f9ee.svg\">:<\/p>\n<p>Voici une entreprise qui vend des t-shirts. Cette entreprise fixe son tarif selon le mod\u00e8le suivant : Pour l&rsquo;achat d&rsquo;un t-shirton doit payer 15 euros plus 10 euros par t-shirt suppl\u00e9mentaire <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f455.svg\">. <\/p>\n<p>1 &#8211; Exprimez cette situation sous la forme d&rsquo;une fonction affine.<br \/>2 &#8211; Combien co\u00fbtent 5 t-shirts ?<\/p>\n<p>R\u00e9ponses :<\/p>\n<p>1 &#8211; La situation peut \u00eatre exprim\u00e9e par la fonction f(x)=10x 15. <br \/>   Icix repr\u00e9sente le nombre de t-shirts suppl\u00e9mentaires achet\u00e9s.<\/p>\n<p>2 &#8211; Pour calculer le prix de 5 t-shirtsremplacez x par 4 dans la fonction (car nous consid\u00e9rons que l&rsquo;achat du premier tee-shirt comme \u00ab\u00a0suppl\u00e9mentaire\u00a0\u00bb).<br \/>Ainsif(4)=10\u00d7(4) 15=55 euros <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f4b6.svg\">.<\/p>\n<p>Selon moi cet exercice est particuli\u00e8rement accessible aux \u00e9l\u00e8ves car il utilise une situation concr\u00e8te du quotidien pour introduire le sujet des fonctions affines <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f60a.svg\">. De plusil invite ainsi les \u00e9l\u00e8ves \u00e0 travailler en groupe favorisant ainsi la collaboration entre pairs <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f607.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"\u2705\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/2705.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \u200d \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f469-200d-1f393.svg\"><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \u200d \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f468-200d-1f393.svg\">.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Points importants du cours<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[54,7,5,4,318,1],"tags":[],"class_list":["post-8576","post","type-post","status-publish","format-standard","hentry","category-2nde","category-mathematiques","category-niveaux","category-matieres","category-pas-dadaptation-particuliere","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8576","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8576"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8576\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}