tag:blogger.com,1999:blog-28714623475573309972012-01-30T15:45:49.819-08:00Banco de problemas de preparación pre-universitaria. Lima - Perú aritmética , álgebra, geometría , trigonometría, razonamiento matemático.JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.comBlogger111100tag:blogger.com,1999:blog-2871462347557330997.post-8875376480134523852010-12-05T17:58:00.000-08:002010-12-07T20:15:33.233-08:00Demostrar que no existe ninguna pareja de números enteros que verifiquen simultaneamente, las igualdades:<div><img src="http://2.bp.blogspot.com/_E1VSFOoD9x0/TPxFvxsQ7gI/AAAAAAAAAmE/sAwzd2nnvmU/s320/ecua1.gif" style="float:left; margin:0 10px 10px 0;cursor:pointer; cursor:hand;width: 223px; height: 27px;" border="0" alt="" id="BLOGGER_PHOTO_ID_5547385528108772866" /></div><div style="text-align: center;"><br /></div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-887537648013452385?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com0tag:blogger.com,1999:blog-2871462347557330997.post-57137184488660236522008-08-20T21:36:00.000-07:002008-08-20T23:34:27.593-07:00<div style="text-align: justify;">Divertido vídeo del grupo músico humorístico argentino <a href="http://www.lesluthiers.org/">Les Luthiers</a> , la canción de por si ya es bastante divertida, pero el video colgado en <a href="http://www.youtube.com/">youtube</a> le da un valor agregado de humor y didáctica, aunque no hay que creerse que con este video se vaya a aprender mucho de matemática, pero demuestra que el humor, la música y la matemática no tienen porque estar reñidos. Lastima que hay un error matemáticamente hablando.<br /></div><br /><object width="425" height="344"><param name="movie" value="http://www.youtube.com/v/czzj2C4wdxY&amp;hl=en&amp;fs=1"><param name="allowFullScreen" value="true"><embed src="http://www.youtube.com/v/czzj2C4wdxY&amp;hl=en&amp;fs=1" type="application/x-shockwave-flash" allowfullscreen="true" width="425" height="344"></embed></object><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-5713718448866023652?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com1tag:blogger.com,1999:blog-2871462347557330997.post-33656038977567269482008-08-20T21:30:00.000-07:002010-10-23T22:33:51.191-07:00<div style="text-align: justify;">En una escuela de traductores el 85% de los intérpretes hablan inglés, el 75% francés, y el 60% alemán.<br /><ul><li>¿Cuál es el porcentaje mínimo de intérpretes que hablan los tres idiomas?</li><li>¿Cuál es el porcentaje máximo de intérpretes que hablan los tres idiomas?</li><li>¿Cuál es el porcentaje máximo de intérpretes que no hablan ninguno de esos tres idiomas?</li><li>¿Cuál es el porcentaje máximo de intérpretes que hablan sólo uno de los tres idiomas?</li></ul></div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-3365603897756726948?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com2tag:blogger.com,1999:blog-2871462347557330997.post-70340118725100814212008-08-19T01:05:00.001-07:002010-10-23T22:08:30.285-07:00Demostrar que:<br /><img src="http://www.forkosh.dreamhost.com/mimetex.cgi?1%5E2+2%5E2+3%5E2+...+n%5E2=%5Cfrac%7Bn%28n+1%29%282n+1%29%7D%7B6%7D" align="middle" border="0" /><br /><br /><a href="http://jorgeperu.googlepages.com/sumadeloscuadradosdelosprimerosn%C3%BAmerosna">Demostración</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-7034011872510081421?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com0tag:blogger.com,1999:blog-2871462347557330997.post-29609331551365863402008-08-10T21:25:00.000-07:002008-08-10T21:48:52.935-07:00Determinar todos los números primos de la forma:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJ_EUcYy4iI/AAAAAAAAATs/SEgWaK-FfkU/s1600-h/ec10.gif"><img style="cursor: pointer;" src="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJ_EUcYy4iI/AAAAAAAAATs/SEgWaK-FfkU/s320/ec10.gif" alt="" id="BLOGGER_PHOTO_ID_5233117147524424226" border="0" /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-2960933155136586340?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com5tag:blogger.com,1999:blog-2871462347557330997.post-7285162392467701292008-08-10T20:54:00.000-07:002010-10-24T13:06:40.805-07:00Sobre una recta se toman los puntos consecutivos A, B, C y D<br />De manera que:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJ-6ZXw2oCI/AAAAAAAAATU/hRM91sCcDJ8/s1600-h/ec8.png"><img style="cursor: pointer;" src="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJ-6ZXw2oCI/AAAAAAAAATU/hRM91sCcDJ8/s320/ec8.png" alt="" id="BLOGGER_PHOTO_ID_5233106237066223650" border="0" /></a><br />Si además se sabe que:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ-8EbFDIsI/AAAAAAAAATk/jNyvfe3J6LU/s1600-h/ec9.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ-8EbFDIsI/AAAAAAAAATk/jNyvfe3J6LU/s320/ec9.png" alt="" id="BLOGGER_PHOTO_ID_5233108076202238658" border="0" /></a><br />Calcular: AC<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-728516239246770129?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com1tag:blogger.com,1999:blog-2871462347557330997.post-62024403856571750272008-08-10T14:19:00.000-07:002008-08-10T21:17:37.042-07:00Si:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ9coDgsrjI/AAAAAAAAAS8/J7IYxzL5mYg/s1600-h/ec1.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ9coDgsrjI/AAAAAAAAAS8/J7IYxzL5mYg/s320/ec1.png" alt="" id="BLOGGER_PHOTO_ID_5233003135234780722" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ-yLLwwFTI/AAAAAAAAATM/22wedJF3pK0/s1600-h/ec7.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ-yLLwwFTI/AAAAAAAAATM/22wedJF3pK0/s320/ec7.png" alt="" id="BLOGGER_PHOTO_ID_5233097197233378610" border="0" /></a><br />Entonces:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ9cza8PPgI/AAAAAAAAATE/Q9K2ZfhiJfY/s1600-h/ec2.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJ9cza8PPgI/AAAAAAAAATE/Q9K2ZfhiJfY/s320/ec2.png" alt="" id="BLOGGER_PHOTO_ID_5233003330502868482" border="0" /></a><br /><a href="http://jorgeperu.googlepages.com/solucionedelaecuacioncuadratica">Demostración</a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-6202440385657175027?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com3tag:blogger.com,1999:blog-2871462347557330997.post-714354219099203612008-08-05T20:31:00.001-07:002010-10-23T23:23:41.894-07:00Siendo S, C y R las medidas en grados sexagesimales, grados centesimales y radianes de un mismo ángulo. Hallar R, sabiendo que:<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJkbr_5bfmI/AAAAAAAAAR0/DWAvHu8Nfas/s1600-h/5.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJkbr_5bfmI/AAAAAAAAAR0/DWAvHu8Nfas/s320/5.png" alt="" id="BLOGGER_PHOTO_ID_5231242884868177506" border="0" /></a><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJkgBoj_U2I/AAAAAAAAASM/QnNX6ZmANlg/s1600-h/pis1.png"><br /></a><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-71435421909920361?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com1tag:blogger.com,1999:blog-2871462347557330997.post-86641408371364121572008-08-05T20:26:00.000-07:002008-08-10T19:17:41.154-07:00Si en la figura mostrada:<br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://3.bp.blogspot.com/_E1VSFOoD9x0/SJkaXBjLzLI/AAAAAAAAARs/8kWvaCSPNN0/s1600-h/4.jpg"><img style="cursor: pointer;" src="http://3.bp.blogspot.com/_E1VSFOoD9x0/SJkaXBjLzLI/AAAAAAAAARs/8kWvaCSPNN0/s320/4.jpg" alt="" id="BLOGGER_PHOTO_ID_5231241425022864562" border="0" /></a><br /><br />OA/2 = OB/3<br /><br />Calcular n<br /><br />a) 24/5 b) 23/6 c) 12/7 d) 24/7 e) 27/5<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-8664140837136412157?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com0tag:blogger.com,1999:blog-2871462347557330997.post-53714636069786208262008-08-05T01:02:00.000-07:002008-12-09T16:23:47.120-08:00De la figura calcular:<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJgLHZVy2nI/AAAAAAAAAQ4/vyAjzPaFL-o/s1600-h/3.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJgLHZVy2nI/AAAAAAAAAQ4/vyAjzPaFL-o/s320/3.png" alt="" id="BLOGGER_PHOTO_ID_5230943188880120434" border="0" /></a><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJgKiepOiZI/AAAAAAAAAQw/WSSTXF-c5NM/s1600-h/2.png"><img style="cursor: pointer;" src="http://2.bp.blogspot.com/_E1VSFOoD9x0/SJgKiepOiZI/AAAAAAAAAQw/WSSTXF-c5NM/s320/2.png" alt="" id="BLOGGER_PHOTO_ID_5230942554648643986" border="0" /></a><br />a) 1 b) 2 c) 0,5 d) 0,3 e) 0,25<div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-5371463606978620826?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com0tag:blogger.com,1999:blog-2871462347557330997.post-36108470011061102772008-08-05T00:07:00.000-07:002008-12-09T16:23:47.281-08:00Si "S" y "C" son los números de grados sexagesimales y centesimales de un mismo ángulo, además:<br /><br /><a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJgMxlusGJI/AAAAAAAAARQ/z2W6N3YiyRE/s1600-h/1.png"><img style="cursor: pointer;" src="http://1.bp.blogspot.com/_E1VSFOoD9x0/SJgMxlusGJI/AAAAAAAAARQ/z2W6N3YiyRE/s320/1.png" alt="" id="BLOGGER_PHOTO_ID_5230945013271894162" border="0" /></a><br />Calcular: C-S<br /><br /><div style="text-align: justify;">a) 20 b) 22 c) 23 d) 24 e) 26</div><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/2871462347557330997-3610847001106110277?l=problemasdemate.blogspot.com' alt='' /></div>JoRgEhttp://www.blogger.com/profile/06738368209160338507noreply@blogger.com0