{"id":3200,"date":"2024-02-24T12:59:46","date_gmt":"2024-02-24T12:59:46","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3200"},"modified":"2024-03-03T17:16:22","modified_gmt":"2024-03-03T17:16:22","slug":"cometa-sobre-trapecio","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2024\/02\/24\/cometa-sobre-trapecio\/","title":{"rendered":"Cometa sobre trapecio"},"content":{"rendered":"<pre>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes)\r\nSe dirige a una edad de: 16-17 a\u00f1os <\/pre>\n<p>Sea ABCD un trapecio de bases AB y CD tal que AD = DC = CB = 5 y AB = 10.<\/p>\n<p>Sea O el punto de intersecci\u00f3n de las diagonales AC y BD.<\/p>\n<p>La recta perpendicular a AC trazada por O corta a la prolongaci\u00f3n del lado AD en E, y a la base AB en F.<\/p>\n<p>Calcular el \u00e1rea del cuadril\u00e1tero AECF.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2024\/02\/338.cometa.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-3201\" \/><\/p>\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2024\/03\/03\/solucion-a-cometa-sobre-trapecio\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2024 (viernes) Se dirige a una edad de: 16-17 a\u00f1os Sea ABCD un trapecio de bases AB y CD tal que AD = DC = CB = 5 y AB = 10. Sea O el punto de intersecci\u00f3n de las diagonales AC y [&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-3200","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\/3200","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=3200"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3200\/revisions"}],"predecessor-version":[{"id":3213,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3200\/revisions\/3213"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3200"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}