tag:blogger.com,1999:blog-444408592833092365.post7515493137023689424..comments2023-06-29T04:02:58.043-06:00Comments on México rumbo a la IMO: Maratón fáciles 1David (sirio11)http://www.blogger.com/profile/13765612869477578855noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-444408592833092365.post-12474368349672291242016-04-22T17:02:56.703-05:002016-04-22T17:02:56.703-05:00Sugerencia Problema 1: https://www.dropbox.com/s/i...Sugerencia Problema 1: https://www.dropbox.com/s/icawakfoimhjmss/Sugerencia%20F1.pdf?dl=0Olga Medrano MdelChttps://www.blogger.com/profile/01421286285286117638noreply@blogger.comtag:blogger.com,1999:blog-444408592833092365.post-59337771373075427122016-04-06T22:07:09.428-05:002016-04-06T22:07:09.428-05:00Me equivoque de maratón y de cuenta jeje... el pro...Me equivoque de maratón y de cuenta jeje... el problema 1 aun no existe :)<br />Olga Medrano MdelChttps://www.blogger.com/profile/01421286285286117638noreply@blogger.comtag:blogger.com,1999:blog-444408592833092365.post-58476521981144310462016-04-02T19:22:39.947-06:002016-04-02T19:22:39.947-06:00Solución problema 0:
https://www.dropbox.com/s/vf6...Solución problema 0:<br />https://www.dropbox.com/s/vf6b5gf7rwd5zuk/Solucion%20D0.pdf?dl=0<br />Problema 1: <br />Let $ x_1$, $ x_2$, $ \ldots$, $ x_n$ be real numbers satisfying the conditions:<br />\[ \left\{\begin{array}{cccc} |x_1 + x_2 + \cdots + x_n | & = & 1 & \ \\ |x_i| & \leq & \displaystyle \frac {n + 1}{2} & \ \textrm{ for }i = 1, 2, \ldots , n. \end{array} \right. \]<br /> Show that there exists a permutation $ y_1$, $ y_2$, $ \ldots$, $ y_n$ of $ x_1$, $ x_2$, $ \ldots$, $ x_n$ such that<br />\[ | y_1 + 2 y_2 + \cdots + n y_n | \leq \frac {n + 1}{2}. \]<br />Anonymoushttps://www.blogger.com/profile/03935500005643002515noreply@blogger.comtag:blogger.com,1999:blog-444408592833092365.post-35778861696108071622016-03-28T17:19:51.528-06:002016-03-28T17:19:51.528-06:00Solucion problema 0:
https://www.dropbox.com/s/9nb...Solucion problema 0:<br />https://www.dropbox.com/s/9nbeqma7e787saz/IMG_20160328_132307.jpg?dl=0<br />Problema 1:<br />Si $k, l, m$ son enteros positivos tales que $\frac{1}{k}+\frac{1}{l}+\frac{1}{m}<1$, encuentra el máximo valor posible de $\frac{1}{k}+\frac{1}{l}+\frac{1}{m}$.Olga Medrano MdelChttps://www.blogger.com/profile/01421286285286117638noreply@blogger.com