{"id":3518,"date":"2025-02-15T08:14:49","date_gmt":"2025-02-15T08:14:49","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=3518"},"modified":"2025-02-22T18:08:46","modified_gmt":"2025-02-22T18:08:46","slug":"coincidencia-en-un-cuadrilatero","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2025\/02\/15\/coincidencia-en-un-cuadrilatero\/","title":{"rendered":"Coincidencia en un cuadril\u00e1tero"},"content":{"rendered":"<pre>\nProblema 5 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 cuadril\u00e1tero convexo de forma que AB\u2229CD = F y AD\u2229BC = E.<\/p>\n\n\n\n<p>Demuestra que los circunc\u00edrculos de los tri\u00e1ngulos BFC, AFD, DCE y ABE tienen un punto en com\u00fan.<\/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\/374.Cuadrilatero.png\" alt=\"\" class=\"wp-image-3519\" \/><\/figure>\n\n\n\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2025\/02\/22\/solucion-a-coincidencia-en-un-cuadrilatero\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 5 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 cuadril\u00e1tero convexo de forma que AB\u2229CD = F y AD\u2229BC = E. Demuestra que los circunc\u00edrculos de los tri\u00e1ngulos BFC, AFD, DCE y ABE tienen un punto en [&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-3518","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\/3518","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=3518"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3518\/revisions"}],"predecessor-version":[{"id":3526,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/3518\/revisions\/3526"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=3518"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=3518"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=3518"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}