{"id":6559,"date":"2023-03-17T15:22:35","date_gmt":"2023-03-17T14:22:35","guid":{"rendered":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/?p=6559"},"modified":"2023-03-17T15:27:13","modified_gmt":"2023-03-17T14:27:13","slug":"les-sujets-et-corriges-des-olympiades-de-mathematiques-2023","status":"publish","type":"post","link":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/les-sujets-et-corriges-des-olympiades-de-mathematiques-2023\/","title":{"rendered":"Les sujets et corrig\u00e9s des olympiades de math\u00e9matiques 2023"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00a0\u00bb1&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<p><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-6021 alignleft\" src=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-212x300.jpg\" alt=\"\" width=\"139\" height=\"197\" srcset=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-212x300.jpg 212w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-724x1024.jpg 724w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-106x150.jpg 106w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-768x1086.jpg 768w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-1086x1536.jpg 1086w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-1448x2048.jpg 1448w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-1080x1527.jpg 1080w, https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/12\/Olympiades2023_MATHS-scaled.jpg 1811w\" sizes=\"(max-width: 139px) 100vw, 139px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: 14pt;\">Vous trouverez ci-dessous les <strong>sujets<\/strong> et les <strong>corrig\u00e9s<\/strong> des <strong>Olympiades acad\u00e9miques de math\u00e9matiques<\/strong> qui se sont d\u00e9roul\u00e9es le <strong>le <\/strong><strong>Mercredi 15 mars 2023<\/strong>.<\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #000080;\">Description de l&rsquo;\u00e9preuve<\/span><\/h2>\n<p>&nbsp;<\/p>\n<p>L\u2019\u00e9preuve se d\u00e9roule en <strong>deux parties de deux heures chacune<\/strong>, s\u00e9par\u00e9es par un interm\u00e8de de dix minutes.<\/p>\n<p>Les Olympiades de Math\u00e9matiques portent sur les programmes des classes de coll\u00e8ge, de seconde g\u00e9n\u00e9rale et technologique, et de premi\u00e8re (programme de math\u00e9matiques de la voie technologique ou enseignement de sp\u00e9cialit\u00e9 math\u00e9matiques de la voie g\u00e9n\u00e9rale).<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul style=\"list-style-type: square;\">\n<li><strong>La premi\u00e8re partie de l&rsquo;\u00e9preuve est consacr\u00e9e aux exercices choisis par le jury national.<\/strong> <br \/>Chaque candidat doit r\u00e9soudre individuellement deux exercices. Le premier est commun \u00e0 tous les candidats&nbsp;: il s\u2019appuie sur le programme de coll\u00e8ge et de seconde g\u00e9n\u00e9rale et technologique. Le second exercice est sp\u00e9cifique du choix de l\u2019orientation de l\u2019\u00e9l\u00e8ve, un exercice pour les \u00e9l\u00e8ves ayant choisi l\u2019enseignement de sp\u00e9cialit\u00e9 \u00ab&nbsp;math\u00e9matiques&nbsp;\u00bb dans la voie g\u00e9n\u00e9rale, un exercice pour les \u00e9l\u00e8ves de la voie technologique. Les \u00e9l\u00e8ves de la voie g\u00e9n\u00e9rale n\u2019ayant pas choisi l\u2019enseignement de sp\u00e9cialit\u00e9 \u00ab&nbsp;math\u00e9matiques&nbsp;\u00bb pourront concourir sur les sujets des \u00e9l\u00e8ves de la voie technologique.<\/li>\n<li><strong>La seconde partie de l\u2019\u00e9preuve est organis\u00e9e selon les modalit\u00e9s choisies par la cellule acad\u00e9mique<\/strong>. <br \/>La r\u00e9solution des exercices acad\u00e9miques peut \u00eatre individuelle, ou par \u00e9quipe compos\u00e9e de deux ou trois candidats, mixte dans la mesure du possible. Les sujets tiendront compte du type de passation de l\u2019\u00e9preuve. Chaque \u00e9quipe ne rend qu\u2019une seule copie. Pour chaque modalit\u00e9 de passation (individuelle ou par \u00e9quipe), il sera propos\u00e9 un sujet compos\u00e9 de deux exercices destin\u00e9s aux \u00e9l\u00e8ves de la voie g\u00e9n\u00e9rale ayant choisi l&rsquo;enseignement de sp\u00e9cialit\u00e9 \u00ab\u00a0math\u00e9matiques\u00a0\u00bb et un sujet compos\u00e9 de deux exercices&nbsp;destin\u00e9s aux \u00e9l\u00e8ves de la voie technologique et aux \u00e9l\u00e8ves de la voie g\u00e9n\u00e9rale n&rsquo;ayant pas choisi l&rsquo;enseignement de sp\u00e9cialit\u00e9 \u00ab\u00a0math\u00e9matiques\u00a0\u00bb.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_text _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #000080;\">Sujets et corrig\u00e9s<\/span><\/h2>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][et_pb_text _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb]<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 34.5095%;\">&nbsp;<\/td>\n<td style=\"width: 17.5926%;\">\n<p style=\"text-align: center;\"><strong>Partie 1<br \/><\/strong><strong>nationale<\/strong><\/p>\n<\/td>\n<td style=\"width: 24.5996%; text-align: center;\"><strong>Partie 2<\/strong><br \/><strong>acad\u00e9mique &#8211; individuel<\/strong><\/td>\n<td style=\"width: 23.2983%; text-align: center;\"><strong>Partie 2<\/strong><br \/><strong>acad\u00e9mique &#8211; en \u00e9quipe<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 34.5095%; text-align: center;\"><strong>Voie g\u00e9n\u00e9rale avec enseignement de sp\u00e9cialit\u00e9 \u00ab\u00a0maths\u00a0\u00bb<\/strong><\/td>\n<td style=\"width: 17.5926%; text-align: center;\">\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/SUJET-NATIONAL-METROPOLE-2023.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/CORRIGE-METROPOLE-2023.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<td style=\"width: 24.5996%; text-align: center;\">\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023IndSpe_Sujet.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023IndSpe_Correction.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<td style=\"width: 23.2983%; text-align: center;\">\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023EqSpe_Sujet.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023EqSpe_Correction.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 34.5095%; text-align: center;\"><strong><br \/>Voie technologique<br \/><\/strong><br \/><strong>Voie g\u00e9n\u00e9rale sans enseignement de sp\u00e9cialit\u00e9 \u00ab\u00a0maths\u00a0\u00bb<br \/><\/strong><\/td>\n<td style=\"width: 17.5926%; text-align: center;\">\n<p><strong><br \/><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/SUJET-NATIONAL-METROPOLE-2023.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/CORRIGE-METROPOLE-2023.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<td style=\"width: 24.5996%; text-align: center;\">\n<p><strong><br \/><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023IndVT_Sujet.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023IndVT_Correction.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<td style=\"width: 23.2983%; text-align: center;\">\n<p><strong><br \/><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023EqVT_Correction.pdf\" target=\"_blank\" rel=\"noopener\">Sujet<\/a><\/strong><\/p>\n<p><strong><a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2023\/03\/OM2023EqVT_Correction.pdf\" target=\"_blank\" rel=\"noopener\">Correction<\/a><\/strong><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=\u00a0\u00bb1_3,1_3,1_3&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_column type=\u00a0\u00bb1_3&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_image src=\u00a0\u00bbhttps:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2020\/04\/logo-minist\u00e8re.png\u00a0\u00bb title_text=\u00a0\u00bblogo minist\u00e8re\u00a0\u00bb _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][\/et_pb_image][\/et_pb_column][et_pb_column type=\u00a0\u00bb1_3&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_image src=\u00a0\u00bbhttps:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/06\/index2.png\u00a0\u00bb title_text=\u00a0\u00bbindex2&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][\/et_pb_image][\/et_pb_column][et_pb_column type=\u00a0\u00bb1_3&Prime; _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][et_pb_image src=\u00a0\u00bbhttps:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-content\/uploads\/sites\/30\/2022\/10\/acad.png\u00a0\u00bb title_text=\u00a0\u00bbacad\u00a0\u00bb _builder_version=\u00a0\u00bb4.10.7&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb][\/et_pb_image][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; Vous trouverez ci-dessous les sujets et les corrig\u00e9s des Olympiades acad\u00e9miques de math\u00e9matiques qui se sont d\u00e9roul\u00e9es le le Mercredi 15 mars 2023.Description de l&rsquo;\u00e9preuve &nbsp; L\u2019\u00e9preuve se d\u00e9roule en deux parties de deux heures chacune, s\u00e9par\u00e9es par un interm\u00e8de de dix minutes. Les Olympiades de Math\u00e9matiques portent sur les programmes des classes [&hellip;]<\/p>\n","protected":false},"author":202,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","ngg_post_thumbnail":0,"footnotes":""},"categories":[1,157],"tags":[],"class_list":["post-6559","post","type-post","status-publish","format-standard","hentry","category-non-classe","category-olympiades","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"admin","author_link":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/author\/opilorget\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/category\/non-classe\/\" rel=\"category tag\">Non class\u00e9<\/a> <a href=\"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/category\/culture-mathematique\/rallyes-et-concours\/olympiades\/\" rel=\"category tag\">Olympiades<\/a>","rttpg_excerpt":"&nbsp; &nbsp; Vous trouverez ci-dessous les sujets et les corrig\u00e9s des Olympiades acad\u00e9miques de math\u00e9matiques qui se sont d\u00e9roul\u00e9es le le Mercredi 15 mars 2023.Description de l'\u00e9preuve &nbsp; L\u2019\u00e9preuve se d\u00e9roule en deux parties de deux heures chacune, s\u00e9par\u00e9es par un interm\u00e8de de dix minutes. Les Olympiades de Math\u00e9matiques portent sur les programmes des classes\u2026","post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/6559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/users\/202"}],"replies":[{"embeddable":true,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/comments?post=6559"}],"version-history":[{"count":22,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/6559\/revisions"}],"predecessor-version":[{"id":6588,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/6559\/revisions\/6588"}],"wp:attachment":[{"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/media?parent=6559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/categories?post=6559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.pedagogie.ac-nice.fr\/mathematiques\/wp-json\/wp\/v2\/tags?post=6559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}