{"id":3500,"date":"2025-02-02T08:21:32","date_gmt":"2025-02-02T08:21:32","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3500"},"modified":"2025-02-15T07:15:58","modified_gmt":"2025-02-15T07:15:58","slug":"triangulo-dividido","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/02\/02\/triangulo-dividido\/","title":{"rendered":"Tri\u00e1ngulo dividido"},"content":{"rendered":"<pre>\nProblema 3 del viernes de la Fase Local de la LXI Olimpiada Espa\u00f1ola de Matem\u00e1ticas (2025)\nSe dirige a una edad de: 16-17 a\u00f1os\n<\/pre>\n\n\n<p>Dividimos cada lado de un tri\u00e1ngulo equil\u00e1tero en n partes iguales, uniendo cada punto de los que hemos usado en la divisi\u00f3n con el v\u00e9rtice opuesto al lado donde est\u00e1.<\/p>\n\n\n\n<p>Determina el n\u00famero de puntos de intersecci\u00f3n interiores al tri\u00e1ngulo determinados por estos segmentos en los siguientes casos.<\/p>\n\n\n\n<p>(a) n es un n\u00famero primo impar.<\/p>\n\n\n\n<p>(b) n = 2p\u00b2 , donde p es un n\u00famero primo impar.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2025\/02\/372.Trangulo.png\" alt=\"\" class=\"wp-image-3503\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/02\/10\/solucion-a-triangulo-dividido\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 3 del viernes de la Fase Local de la LXI Olimpiada Espa\u00f1ola de Matem\u00e1ticas (2025) Se dirige a una edad de: 16-17 a\u00f1os Dividimos cada lado de un tri\u00e1ngulo equil\u00e1tero en n partes iguales, uniendo cada punto de los que hemos usado en la divisi\u00f3n con el v\u00e9rtice opuesto al lado donde est\u00e1. Determina [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2242029,2849],"tags":[],"class_list":["post-3500","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-ome","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3500","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/users\/4267"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/comments?post=3500"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3500\/revisions"}],"predecessor-version":[{"id":3516,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3500\/revisions\/3516"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3500"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}