{"id":13517,"date":"2025-12-01T07:31:23","date_gmt":"2025-12-01T06:31:23","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesflosicalcat\/?p=13517"},"modified":"2026-01-14T12:29:01","modified_gmt":"2026-01-14T11:29:01","slug":"https-agora-xtec-cat-iesflosicalcat-reptes-matematics","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesflosicalcat\/general\/https-agora-xtec-cat-iesflosicalcat-reptes-matematics\/","title":{"rendered":"Repte de mes de desembre"},"content":{"rendered":"<p><span style=\"font-size: large;\">Aquest desembre arriben els REPTES mensuals del departament de matem\u00e0tiques: Ser\u00e0s capa\u00e7 de resoldre&#8217;l?<\/span><\/p>\n<p><strong>A l\u2019institut ha comen\u00e7at a circular una hist\u00f2ria estranya sobre una porta \u201cintel\u00b7ligent\u201d que nom\u00e9s s\u2019obre si\u00a0 dius la resposta correcta. Diuen que un professor de matem\u00e0tiques l\u2019ha instal\u00b7lada per posar a prova els estudiants m\u00e9s espavilats.<\/strong><\/p>\n<p><strong>La porta funciona aix\u00ed:<br \/>\nQuan un estudiant pica, des de dins es diu un nombre, i l&#8217;estudiant ha de respondre un altre nombre.<br \/>\nSi la resposta \u00e9s correcta, la porta s\u2019obre. Si no, es queda tancada. S\u2019han observat aquests tres casos reals:<\/strong><\/p>\n<p><strong>Una estudiant pica.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Un altre estudiant pica.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Un \u00faltim estudiant pica.<\/strong><\/p>\n<p><strong>\u2014 Des de dins: \u00ab8\u00bb\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2014 Des de dins: \u00ab6\u00bb\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2014 Des de dins: \u00ab4\u00bb<\/strong><\/p>\n<p><strong>\u2014 Ella respon: \u00ab4\u00bb\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2014 Ell respon: \u00ab3\u00bb\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2014 Ell respon: \u00ab2\u00bb<\/strong><\/p>\n<p><strong>\u2726 La porta s\u2019obre.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2726 La porta s\u2019obre.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2726 La porta NO s\u2019obre.<\/strong><\/p>\n<ul>\n<li aria-level=\"1\"><b>Quina \u00e9s la regla que segueix la porta intel\u00b7ligent?\u00a0<\/b><\/li>\n<li aria-level=\"1\"><b>Posa tres exemples m\u00e9s on la porta s\u2019obriria.<\/b><\/li>\n<\/ul>\n<div><span style=\"font-size: large;\"><strong>Instruccions:<\/strong> deixa el full amb la resposta clarament explicada a la b\u00fastia que trobar\u00e0s a la planta baixa de l&#8217;institut amb el teu nom, el curs i grup i la data. A final de curs haur\u00e0 premis als millors per cada cicle de l&#8217;ESO!<\/span><\/div>\n<div><span style=\"font-size: large;\"><b>T&#8217;hi atreveixes?<\/b><\/span><\/div>\n<p><span style=\"font-size: large;\"><b><\/b>\u00a0\u00a0<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aquest desembre arriben els REPTES mensuals del departament de matem\u00e0tiques: Ser\u00e0s capa\u00e7 de resoldre&#8217;l? A l\u2019institut ha comen\u00e7at a circular una hist\u00f2ria estranya sobre una porta \u201cintel\u00b7ligent\u201d que nom\u00e9s s\u2019obre si\u00a0 dius la resposta correcta. Diuen que un professor de matem\u00e0tiques l\u2019ha instal\u00b7lada per posar a prova els estudiants m\u00e9s espavilats. La porta funciona aix\u00ed: [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":13524,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[3,4,5,6,7,1,29,335,339],"tags":[],"class_list":["post-13517","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-eso","category-eso-1","category-eso-2","category-eso-3","category-eso-4","category-general","category-portada","category-reptes-matematics","category-reptes-matematics-2"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/13517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/comments?post=13517"}],"version-history":[{"count":3,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/13517\/revisions"}],"predecessor-version":[{"id":13582,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/posts\/13517\/revisions\/13582"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/media\/13524"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/media?parent=13517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/categories?post=13517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesflosicalcat\/wp-json\/wp\/v2\/tags?post=13517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}