{"id":3484,"date":"2025-01-25T16:49:17","date_gmt":"2025-01-25T16:49:17","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3484"},"modified":"2025-01-25T19:01:17","modified_gmt":"2025-01-25T19:01:17","slug":"una-parte-de-un-paralelogramo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/01\/25\/una-parte-de-un-paralelogramo\/","title":{"rendered":"Una parte de un paralelogramo"},"content":{"rendered":"<pre>\nProblema 1 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>Sea ABCD un paralelogramo y sea M un punto en la diagonal BD que cumple M D = 2BM .<\/p>\n\n\n\n<p>Las rectas AM y BC se cortan en un punto N .<\/p>\n\n\n\n<p>\u00bfCu\u00e1l es el cociente entre el \u00e1rea del tri\u00e1ngulo M N D y el \u00e1rea del paralelogramo ABCD?<\/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\/01\/370.paralelogramo.png\" alt=\"\" class=\"wp-image-3485\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/01\/25\/solucion-a-una-parte-de-un-paralelogramo\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 1 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 Sea ABCD un paralelogramo y sea M un punto en la diagonal BD que cumple M D = 2BM . Las rectas AM y BC se cortan en un punto N [&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-3484","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\/3484","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=3484"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3484\/revisions"}],"predecessor-version":[{"id":3492,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3484\/revisions\/3492"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}