{"id":2790,"date":"2023-03-12T20:38:07","date_gmt":"2023-03-12T20:38:07","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=2790"},"modified":"2023-03-18T07:06:46","modified_gmt":"2023-03-18T07:06:46","slug":"dividiendo-un-rectangulo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2023\/03\/12\/dividiendo-un-rectangulo\/","title":{"rendered":"Dividiendo un rect\u00e1ngulo"},"content":{"rendered":"<pre>Problema 7 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (s\u00e1bado)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Sea n &gt;= 2 un entero positivo.<\/p>\n<p>Dividimos un rect\u00e1ngulo de n\u00b7(n + 1) en piezas rectangulares: dos de 1\u00b71, dos de 1\u00b72, y as\u00ed sucesivamente hasta dos de 1\u00b7n, con la propiedad de que para cada k &gt;= 2, una pieza 1\u00b7k tiene los lados largos horizontales y la otra verticales.<\/p>\n<p>Demostrar que, con estas condiciones, las dos piezas 1\u00b71 comparten un lado.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/03\/288.rectangulo.png\" alt=\"\" width=\"300\" height=\"300\" class=\"alignnone size-full wp-image-2791\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2023\/03\/288.rectangulo.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2023\/03\/288.rectangulo-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2023\/03\/18\/solucion-a-dividiendo-un-rectangulo\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 7 de la Fase Local de la Olimpiada Espa\u00f1ola de Matem\u00e1ticas 2023 (s\u00e1bado) Se dirige a una edad de: 16-17 a\u00f1os Sea n &gt;= 2 un entero positivo. Dividimos un rect\u00e1ngulo de n\u00b7(n + 1) en piezas rectangulares: dos de 1\u00b71, dos de 1\u00b72, y as\u00ed sucesivamente hasta dos de 1\u00b7n, con la propiedad [&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-2790","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\/2790","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=2790"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2790\/revisions"}],"predecessor-version":[{"id":2796,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/2790\/revisions\/2796"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=2790"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=2790"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=2790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}