<style type="text/css">a[data-mtli~="mtli_filesize993,68kB"]:after {content:" (993,68 kB)"}</style>{"id":2596,"date":"2022-04-07T20:50:00","date_gmt":"2022-04-07T19:50:00","guid":{"rendered":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/?p=2596"},"modified":"2022-12-06T20:58:03","modified_gmt":"2022-12-06T19:58:03","slug":"sujet-de-la-session-2022-olympiades-de-mathematiques-de-quatrieme-concours-rene-merkhoffer-2022","status":"publish","type":"post","link":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/sujet-de-la-session-2022-olympiades-de-mathematiques-de-quatrieme-concours-rene-merkhoffer-2022\/","title":{"rendered":"Sujet de la session 2022 &#8211; Olympiades de Math\u00e9matiques de Quatri\u00e8me (concours Ren\u00e9 Merkhoffer) &#8211; 2022"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\"><strong>Pr\u00e9sentation rapide du sujet de la session 2022<\/strong><\/h4>\n\n\n\n<p>L\u2019\u00e9preuve de la session 2002 des Olympiades de Math\u00e9matiques de Quatri\u00e8me (concours Ren\u00e9 Merkhoffer) a eu lieu le 29 mars 2022.<br>Les \u00e9l\u00e8ves ont planch\u00e9 sur un sujet compos\u00e9 de 4 exercices vari\u00e9s&nbsp;:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>un exercice de recherche au tour du poids d\u2019un nombre&nbsp;;<\/li>\n\n\n\n<li>un exercice de raisonnement et de calcul d\u2019aires de figures planes faisant partie d\u2019une construction d\u2019un carr\u00e9 inscrit dans un cercle inscrit dans un carr\u00e9&nbsp;;<\/li>\n\n\n\n<li>un exercice sur les triplets pythagoriciens<\/li>\n\n\n\n<li>un exercice de calcul d\u2019angles<\/li>\n<\/ul>\n\n\n\n<p>Le sujet est t\u00e9l\u00e9chargeable ci-dessous.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/crm_om4e_2022_sujet_nancy-metz.pdf\" class=\"mtli_attachment mtli_pdf\" data-mtli=\"mtli_filesize993,68kB\" target=\"_blank\" rel=\"noreferrer noopener\">Olympiades inter-acad\u00e9miques de math\u00e9matiques (Quatri\u00e8me) &#8211; Sujet2022<\/a><\/li>\n<\/ul>\n\n\n\n<p>Merci \u00e0 nos partenaires pour leur soutien<\/p>\n\n\n\n<div class=\"wp-block-group is-nowrap is-layout-flex wp-container-core-group-is-layout-ad2f72ca wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"167\" height=\"34\" src=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/logo_casio-160pix-da6a7.png\" alt=\"\" class=\"wp-image-2578\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.numworks.com\/fr\/\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"161\" height=\"29\" src=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/logo_numworks_160pix-f836a.png\" alt=\"\" class=\"wp-image-2583\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.creditmutuel.fr\/fr\/particuliers\/enseignants.html\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"185\" height=\"61\" src=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/logocm54-df90e.png\" alt=\"\" class=\"wp-image-2582\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.ac-nancy-metz.fr\/\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"151\" height=\"84\" src=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/logo_ac_nm_160pix-1f600.jpg\" alt=\"\" class=\"wp-image-2581\"\/><\/a><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/education.ti.com\/fr\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"165\" height=\"35\" src=\"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-content\/uploads\/logo_ti_160pix-7bc9f.png\" alt=\"\" class=\"wp-image-2584\"\/><\/a><\/figure>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Pr\u00e9sentation rapide du sujet de la session 2022 L\u2019\u00e9preuve de la session 2002 des Olympiades de Math\u00e9matiques de Quatri\u00e8me (concours Ren\u00e9 Merkhoffer) a eu lieu le&#8230;<\/p>\n","protected":false},"author":9,"featured_media":1966,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[124,144],"tags":[],"class_list":["post-2596","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-concours","category-olympiades"],"_links":{"self":[{"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/2596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/comments?post=2596"}],"version-history":[{"count":1,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/2596\/revisions"}],"predecessor-version":[{"id":2598,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/posts\/2596\/revisions\/2598"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/media\/1966"}],"wp:attachment":[{"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/media?parent=2596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/categories?post=2596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.ac-nancy-metz.fr\/mathematiques\/wp-json\/wp\/v2\/tags?post=2596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}