{"id":2427,"date":"2022-04-16T07:48:29","date_gmt":"2022-04-16T07:48:29","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2427"},"modified":"2022-04-23T19:54:11","modified_gmt":"2022-04-23T19:54:11","slug":"un-punto-en-el-cuadrilatero","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2022\/04\/16\/un-punto-en-el-cuadrilatero\/","title":{"rendered":"Un punto en el cuadril\u00e1tero"},"content":{"rendered":"<pre>Problema 2 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea ABCD un cuadril\u00e1tero convexo, y sea P un punto en su interior.<\/p>\n<p>Si se cumple que \u00e1rea(PAB)\u00b7\u00e1rea(PCD) = \u00e1rea(PBC)\u00b7\u00e1rea(PDA), demostrar que el punto P se encuentra en el segmento AC o en el segmento BD.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2022\/04\/243.cuadriatero.gif\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2428\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2022\/04\/23\/solucion-a-un-punto-en-el-cuadrilatero\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 2 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2022 (viernes tarde) Se dirige a una edad de: 16-17 a\u00f1os Sea ABCD un cuadril\u00e1tero convexo, y sea P un punto en su interior. Si se cumple que \u00e1rea(PAB)\u00b7\u00e1rea(PCD) = \u00e1rea(PBC)\u00b7\u00e1rea(PDA), demostrar que el punto P se encuentra en el segmento AC o [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2242021,1738,2849],"tags":[],"class_list":["post-2427","post","type-post","status-publish","format-standard","hentry","category-olimpiada-matematica-espanola","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2427","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=2427"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2427\/revisions"}],"predecessor-version":[{"id":2437,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2427\/revisions\/2437"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}