{"id":1294,"date":"2019-08-25T19:12:57","date_gmt":"2019-08-25T19:12:57","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=1294"},"modified":"2019-09-07T06:59:33","modified_gmt":"2019-09-07T06:59:33","slug":"el-menor-de-los-maximos","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2019\/08\/25\/el-menor-de-los-maximos\/","title":{"rendered":"El menor de los m\u00e1ximos"},"content":{"rendered":"<pre>Problema 5 de la Fase Nacional de la de la LV OME 2019\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Se consideran todos los pares de n\u00fameros reales (x, y) tales que 0 \u2264 x \u2264 y \u2264 1.<\/p>\n<p>Sea M(x, y) el m\u00e1ximo valor del conjunto de tres n\u00fameros reales A = {xy, xy \u2013 x \u2013 y + 1, x + y \u2013 2xy}.<\/p>\n<p>Hallar el m\u00ednimo valor que puede tomar M(x, y) para todos estos pares (x, y).<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/108.Elmenordelosmaximos.png\" alt=\"\" width=\"350\" height=\"350\" class=\"aligncenter size-full wp-image-1295\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/108.Elmenordelosmaximos.png 350w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/108.Elmenordelosmaximos-150x150.png 150w, https:\/\/blogs.ua.es\/dimates\/files\/2019\/08\/108.Elmenordelosmaximos-300x300.png 300w\" sizes=\"auto, (max-width: 350px) 100vw, 350px\" \/><br \/>\nSoluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2019\/08\/31\/solucion-al-menor-de-los-maximos\/\">Aqu\u00ed<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 5 de la Fase Nacional de la de la LV OME 2019 Se dirige a una edad de: 16-17 a\u00f1os Se consideran todos los pares de n\u00fameros reales (x, y) tales que 0 \u2264 x \u2264 y \u2264 1. Sea M(x, y) el m\u00e1ximo valor del conjunto de tres n\u00fameros reales A = {xy, [&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-1294","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\/1294","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=1294"}],"version-history":[{"count":4,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1294\/revisions"}],"predecessor-version":[{"id":1315,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/1294\/revisions\/1315"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=1294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=1294"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=1294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}