{"id":2763,"date":"2023-02-18T17:02:37","date_gmt":"2023-02-18T17:02:37","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2763"},"modified":"2023-02-25T06:50:46","modified_gmt":"2023-02-25T06:50:46","slug":"un-paralelogramo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/02\/18\/un-paralelogramo\/","title":{"rendered":"Un paralelogramo"},"content":{"rendered":"<pre>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (viernes ma\u00f1ana)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Consideramos un paralelogramo ABCD.<\/p>\n<p>Una circunferencia \u0393 que pasa por el punto A corta a los lados AB y AD en los puntos E y F, respectivamente, y a la diagonal AC en el punto G.<\/p>\n<p>La prolongaci\u00f3n de la recta FG corta al lado BC en H, y la prolongaci\u00f3n de EG corta al lado CD en I.<\/p>\n<p>Demuestra que la recta HI es paralela a EF.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/02\/285.paralelogramo.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2764\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/02\/285.paralelogramo.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/02\/285.paralelogramo-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/02\/25\/solucion-a-un-paralelogramo\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (viernes ma\u00f1ana) Se dirige a una edad de: 16-17 a\u00f1os Consideramos un paralelogramo ABCD. Una circunferencia \u0393 que pasa por el punto A corta a los lados AB y AD en los puntos E y F, respectivamente, y a la diagonal AC [&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-2763","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\/2763","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=2763"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2763\/revisions"}],"predecessor-version":[{"id":2770,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2763\/revisions\/2770"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2763"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2763"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2763"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}