{"id":530,"date":"2018-05-19T20:58:26","date_gmt":"2018-05-19T20:58:26","guid":{"rendered":"https:\/\/blogs.ua.es\/dimates\/?p=530"},"modified":"2018-09-15T06:59:59","modified_gmt":"2018-09-15T06:59:59","slug":"de-esfera-a-cubo","status":"publish","type":"post","link":"https:\/\/blogs.ua.es\/dimates\/2018\/05\/19\/de-esfera-a-cubo\/","title":{"rendered":"De esfera a cubo"},"content":{"rendered":"<pre>Problema 4 de la Fase Local (s\u00e1bado) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018)\r\nSe dirige a una edad de: 16-17 a\u00f1os<\/pre>\n<p>Probar que:<\/p>\n<p>1) La suma de la distancias desde un punto de la superficie de la esfera inscrita en un cubo en el espacio tridimensional real a todas las caras del mismo no depende del punto elegido.<\/p>\n<p>2) Misma cuesti\u00f3n anterior para la suma de los cuadrados de las distancias.<\/p>\n<p>3) Misma cuesti\u00f3n que las anteriores para la suma de los cubos de las distancias.<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/43.deesferaacubo.png\" alt=\"\" width=\"300\" height=\"300\" class=\"aligncenter size-full wp-image-531\" srcset=\"https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/43.deesferaacubo.png 300w, https:\/\/blogs.ua.es\/dimates\/files\/2018\/05\/43.deesferaacubo-150x150.png 150w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Soluci\u00f3n: <a href=\"https:\/\/blogs.ua.es\/dimates\/2018\/05\/26\/solucion-a-de-esfera-a-cubo\/\" rel=\"noopener\" target=\"_blank\">Aqu\u00ed<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problema 4 de la Fase Local (s\u00e1bado) de la Olimpiada Matem\u00e1tica Espa\u00f1ola (2018) Se dirige a una edad de: 16-17 a\u00f1os Probar que: 1) La suma de la distancias desde un punto de la superficie de la esfera inscrita en un cubo en el espacio tridimensional real a todas las caras del mismo no depende [&hellip;]<\/p>\n","protected":false},"author":4267,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1738,2849],"tags":[],"class_list":["post-530","post","type-post","status-publish","format-standard","hentry","category-olimpiadas","category-problemas"],"_links":{"self":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/530","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=530"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/530\/revisions"}],"predecessor-version":[{"id":748,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/posts\/530\/revisions\/748"}],"wp:attachment":[{"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/media?parent=530"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/categories?post=530"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ua.es\/dimates\/wp-json\/wp\/v2\/tags?post=530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}