{"id":4173,"date":"2024-11-07T13:08:02","date_gmt":"2024-11-07T12:08:02","guid":{"rendered":"https:\/\/agora.xtec.cat\/iesllavaneres\/?p=4173"},"modified":"2024-11-07T13:08:02","modified_gmt":"2024-11-07T12:08:02","slug":"repte-matematic-del-mes-de-novembre","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesllavaneres\/eso-1\/repte-matematic-del-mes-de-novembre\/","title":{"rendered":"Repte matem\u00e0tic del mes de novembre"},"content":{"rendered":"<p>Tal com hem anunciat en l&#8217;article anterior i segons la &#8220;<a href=\"https:\/\/www.rsme.es\/\">Real Sociedad Espa\u00f1ola de Matem\u00e1ticas<\/a>&#8220;&#8230;<\/p>\n<p><span style=\"color: #3465a4;\"><b>PROBLEMA DEL MES DE NOVEMBRE<\/b><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><b>INFANTIL, 1r i 2n d\u2019ESO<\/b><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Infantil (1\u00ba\/2\u00ba ESO) I-050.<\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Nunca tres por un mismo apunto. En el plano hay un conjunto de rectas tales que dos cualesquiera se cortan pero tres cualesquiera no pasan por un mismo punto. El n\u00famero total de puntos intersecci\u00f3n es 153. \u00bfCu\u00e1ntas rectas tiene este conjunto?<\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Juan Manuel Conde Calero (Universidad de Alicante) <\/span><\/span><\/p>\n<p><span style=\"color: #5983b0;\"><b>CADET, 3nr i 4t d\u2019ESO<\/b><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Cadete (3\u00ba\/4\u00ba ESO) C-050.<\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Sempiterno pitag\u00f3rico. En un tri\u00e1ngulo ABC , D es el punto medio del lado AB y G su baricentro. Halla las longitudes de sus lados sabiendo que AD = , 3 4 AG = y 5 DG= .<\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Antonio Ledesma L\u00f3pez (Club Matem\u00e1tico. Requena) <\/span><\/span><\/p>\n<p><span style=\"color: #5983b0;\"><b>JUVENIL, 1r i 2n de BAT<\/b><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Jv-050. Jugando con la escuadra y el cartab\u00f3n.<\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">Tenemos una escuadra y un cartab\u00f3n de modo que, como muestra la figura de la iz<a href=\"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-content\/uploads\/usu2229\/2024\/11\/escaire_i_cartabo-min.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4174 alignright\" src=\"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-content\/uploads\/usu2229\/2024\/11\/escaire_i_cartabo-min.jpg\" alt=\"\" width=\"276\" height=\"190\" \/><\/a>quierda, la hipotenusa de la escuadra y el cateto mayor del cartab\u00f3n miden lo mismo que la anchura de una hoja de papel. Si colocamos la escuadra y el cartab\u00f3n unidos por el lado com\u00fan como en la figura de la derecha, \u00bfcu\u00e1nto mide el \u00e1ngulo que forma la parte inferior del cartab\u00f3n con la base del folio? J\u00fanior Jn-050. Pol\u00edgonos rotatorios. <\/span><\/span><\/p>\n<p><span style=\"color: #3465a4;\"><span style=\"color: #000000;\">\u00cdker Ingelmo Z\u00e1rate (IES Jos\u00e9 Saramago. Arganda del Rey) <\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tal com hem anunciat en l&#8217;article anterior i segons la &#8220;Real Sociedad Espa\u00f1ola de Matem\u00e1ticas&#8220;&#8230; PROBLEMA DEL MES DE NOVEMBRE INFANTIL, 1r i 2n d\u2019ESO Infantil (1\u00ba\/2\u00ba ESO) I-050. Nunca tres por un mismo apunto. En el plano hay un conjunto de rectas tales que dos cualesquiera se cortan pero tres cualesquiera no pasan por [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"closed","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":"","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":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","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":[8,4,5,6,7,29],"tags":[189,117,116],"class_list":["post-4173","post","type-post","status-publish","format-standard","hentry","category-batxillerat","category-eso-1","category-eso-2","category-eso-3","category-eso-4","category-portada","tag-activitats","tag-batxillerat","tag-eso"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/posts\/4173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/comments?post=4173"}],"version-history":[{"count":1,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/posts\/4173\/revisions"}],"predecessor-version":[{"id":4175,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/posts\/4173\/revisions\/4175"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/media?parent=4173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/categories?post=4173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesllavaneres\/wp-json\/wp\/v2\/tags?post=4173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}