¥Þ¥µ¥ë
¤½¤í¤½¤íÀµ²ò¼Ô¤â½Ð¤½¤í¤Ã¤ÆÍ褿¤è¤¦¤Ç...¾¯¤·°Â¿´¤·¤Ä¤Ä¤¢¤ê¤Þ¤¹¡£

¤³¤ì¡¢É÷Ϥ¤ËÆþ¤Ã¤Æ¤¤¤ë¤È¤­¤Ë¡Ö¤Õ¤È¡×»×¤¤É⤫¤ó¤À´°Á´¤Ë¥ª¥ê¥¸¥Ê¥ë¤ÊÌäÂê¤Ç¤¹¡£¡Ö¤É¤³¤òµá¤á¤ëÌäÂê¤Ë¤¹¤ë¤«¡×¤Ç¾¯¡¹Çº¤ß¤Þ¤·¤¿¤¬¡¢´ðËÜŪ¤Ê¥¢¥¤¥Ç¥¢¤ÏÉ÷Ϥ¤Ç½ÐÍè¤Þ¤·¤¿¡£(^^;

¤È¤ê¤¢¤¨¤º¡¢¥ß¥¹¤¬¤Ê¤±¤ì¤ÐÎɤ¤¤Î¤Ç¤¹¤¬...¡£
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 0:31:51¡¡¡¡ ¡¡¡¡36125
£Í£ò.¥À¥ó¥Ç¥£
¾ò·ï¤è¤ê¡¢£Ä£Ñ//£Á£Ã//£Ó£Â¡¤£Ò£Á//£Ä£Â//£Ã£Ð¡¡¤¬¤¤¤¨
£Ä£Â¤È£Á£Ã¤Î¸òÅÀ¤ò£Ç¤È¤¹¤ë¤È
£Á£Ç¡§£Ç£Ã£Ð£Ä¡§£Ä£Ã¡á¡á£Á£Â¡§£Â£Ð¡á1¡§1
£Ä£Ç¡§£Ç£Â¡á1¡§2¡¢¢¢£Á£Â£Ç£Ò¤¬Ê¿¹Ô»ÍÊÕ·Á¤Ë¤Ê¤ë¤³¤È¤ò»È¤Ã¤Æ
£Ò£È¡§£È£Â¡á2¡§3
¢¤£Ò£Ô£Ä¡á¢¤£Ò£Â£Ã¡¦(1/2)¡¦(2/5)¡á(1/5¡Ë¢¤£Ò£Â£Ã¡á(1/5¡Ë¢¢£Á£Â£Ã£Ä
¤Èµá¤á¤Þ¤·¤¿¡£
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 1:08:34¡¡¡¡ ¡¡¡¡36126
¦Æ
»÷¤¿¤è¤¦¤Ê²òË¡¤Ç¤¹¤¬¡Ä
¢¤APQ¡áS¤È¤ª¤¯¤È¢¤ABC¡Ü¢¤ACQ¡á¢¢ABCD¡áS/2
¾ò·ï¤è¤êSB//AC//DQ¤ÇQC¡§CB¡á1:2¤Ê¤Î¤ÇDA¡§AS¡á1:2
¤³¤ì¤è¤ê¢¤DAC¡áS/6 ¢¤ASC¡áS/3
¾ò·ï¤è¤êAR//BD//PC¤ÇPB¡§BA¡á1:1¤Ê¤Î¤ÇCD¡§DR¡á1:1
¢¤ART¢æ¢¤DBT¤Ç¢¤RDB¡á¢¤DCB¡áS/4 ¢¤RDA¡á¢¤DAC¡áS/6
¤Ê¤Î¤ÇÁê»÷Èæ¤Ï2:3¡¡¤è¤Ã¤ÆAT¡§TD¡á2:3
¢¤RTD¡á¢¤RDA*3/5¡áS/6*3/5¡áS/10¡á1/5*S/2¡á1/5*¢¢ABCD¡¡
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 1:48:46¡¡¡¡ ¡¡¡¡36127
abc
Ʊ¤¸¤è¤¦¤Ê²òË¡¤Ç¤¹¡£
¡¡
»Í³Ñ·ÁABCD=¢¤BCR=¢¤DAP¤è¤ê¡¡DB¡·RA¡·CP¡Ä­¡¡¡¡èRD:DC=AB:BP=1:1¡Ä­¢
¤Þ¤¿¡¢¢¤ACQ:¢¤ABC=1:2¡¡¤Ç¢¤ACQ=¢¤DAC(¢è»Í³Ñ·ÁABCD=¢¤ABQ)
¤è¤êBD¤ÈAC¤Î¸òÅÀ¤òE¤È¤¹¤ë¤È
DE:EB=1:2¡Ä­£
­¡¡¢­¢¡¢­£¤è¤êDT:AT=BD:RA=3:2¡Ä­¤
­¢¡¢­¤¤è¤ê¢¤RDT=¢¤DAC*3/5=(»Í³Ñ·ÁABCD*1/3)*3/5(¢è­£¤è¤ê)
=»Í³Ñ·ÁABCD*1/5¡Ä(Åú)

ÌÌÇò¤¤ÌäÂê¤Ç¤·¤¿¡£¡Ê¤Ê¤ª¡¢»Í³Ñ·ÁABCD=¢¤CDS¤Î¾ò·ï¤ÏɬÍפʤ¤¤Î¤Ç¤Ï¡Ä)
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 11:45:06¡¡¡¡ ¡¡¡¡36128
¥Þ¥µ¥ë
#36128 ¡Êabc ¤µ¤ó¡Ë
> ¡Ê¤Ê¤ª¡¢»Í³Ñ·ÁABCD=¢¤CDS¤Î¾ò·ï¤ÏɬÍפʤ¤¤Î¤Ç¤Ï¡Ä)

¤Ï¤¤¡¢¤½¤ÎÄ̤ê¤Ç¤·¤¿¡£¼Â¤ÏÅö½é¡¢¡Ö»Í³Ñ·ÁPQRS¤ÎÌÌÀѤòµá¤á¤è¡×¤È¤¤¤¦ÌäÂêÀßÄê¤Ë¤·¤Æ¤¤¤¿¤Î¤Ç¤¹¤¬¡¢¤·¤«¤·¤½¤ì¤À¤ÈÊ¿¹ÔÀþ¤ò·Ðͳ¤»¤º¤Ë²ò¤±¤ë¤³¤È¤ËľÁ°¤Ëµ¤ÉÕ¤­¤Þ¤·¤Æ¡¢º£²ó¤ÎÀßÌä¤ËÊѹ¹¤·¤¿¤È¤¤¤¦·Ð°Þ¤¬¤¢¤ê¤Þ¤·¤Æ..¡£¤½¤Î̾»Ä¤È¤·¤Æ»Ä¤Ã¤Æ¤·¤Þ¤¤¤Þ¤·¤¿¡£m(__)m
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 11:04:13¡¡¡¡ ¡¡¡¡36129
uchinyan
¤Ï¤¤¡¤¤³¤ó¤Ë¤Á¤Ï¡£¤µ¤Æ¡¤º£²ó¤ÎÌäÂê¤Ï¡¥¡¥¡¥
¤Ê¤«¤Ê¤«ÌÌÇò¤¤ÌäÂê¤À¤È»×¤¤¤Þ¤·¤¿¡£°ì±þ¡¤¤³¤ó¤Ê´¶¤¸¤Ç¡£

AC ¤È BD ¤Î¸òÅÀ¤ò O ¤È¤·¤Þ¤¹¡£
¢¢ABCD = ¢¤DAP ¤è¤ê DB//CP ¤Ç¡¤AO¡§OC = AB¡§BP = 1¡§1 ¤Ç¤¹¡£
¢¢ABCD = ¢¤ABQ ¤è¤ê AC//DQ ¤Ç¡¤BO¡§OD = BC¡§CQ = 2¡§1 ¤Ç¤¹¡£
¢¢ABCD = ¢¤BCR ¤è¤ê DB//RA ¤Ç¡¤CD¡§DR = CO¡§OA = 1¡§1¡¤DO¡§RA = 1¡§2 ¤Ç¤¹¡£
¤½¤³¤Ç¡¤RA¡§BD = RA¡§(BO + OD) = 2¡§(2 + 1) = 2¡§3 ¤Ç¤¹¡£
¤Þ¤¿¡¤DB//RA ¤è¤ê ¢¤TRA ¢æ ¢¤TBD ¤Ê¤Î¤Ç¡¤AT¡§TD = RA¡§BD = 2¡§3 ¤Ç¤¹¡£
¤½¤³¤Ç¡¤
¢¤RDT = ¢¤BCR - ¢¢TBCD = ¢¢ABCD - ¢¢TBCD = ¢¤TAB = ¢¤DAB * 2/5 = ¢¢ABCD * 1/2 * 2/5 = ¢¢ABCD * 1/5
¤Ë¤Ê¤ê¤Þ¤¹¡£
¥Í¥³¤Î½»¤à²È¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 12:08:59¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36130
¥¹¥â¡¼¥¯¥Þ¥ó
¤ä¤Ã¤È...^^;
´ª°ã¤¤¤·¤Æ¤¿...
9t^2-4t^2=5
¤«¤é...4t^2-t^2=3
3-2=1
1*((1+3)/(1+3+1))=4/5
4/5 : 4 = 1 : 5
¥Ð¥«¤Ç¤·¤¿...Orz...
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 12:43:14¡¡¡¡ ¡¡¡¡36131
uchinyan
·Ç¼¨ÈĤòÆɤߤޤ·¤¿¡£
ÌÌÀѤ¬Åù¤·¤¤¾ò·ï¤«¤é¡¤
¡¡AC//QD(//SB)¡¤BD//PC//RA ¤ò»È¤¦¤³¤È¤È¡¤AT¡§TD = 2¡§3 ¤ò¼¨¤¹¤³¤È¡¤
¤Ï³§¤µ¤óƱ¤¸¤è¤¦¤Ç¤¹¡£
¤½¤Î´Ö¤Ï¡¥¡¥¡¥

#36126
AC ¤È BD ¤Î¸òÅÀ¤ò G ¤È¤·¤Æ AG¡§GC = 1¡§1¡¤DG¡§GB = 1¡§2 ¤òƳ¤­¡¤¢¢ABGR ¤¬Ê¿¹Ô»ÍÊÕ·Á¤Ë¤Ê¤ë¤³¤È¤ò»È¤¦²òË¡¡£

#36126
¢¤APQ ¤ò´ð¤Ë¤·¤¿ÌÌÀÑÈæ¤òÃæ¿´¤Ë¹Í¤¨¤ë²òË¡¡£

#36128(¿ʬ)¡¤#36130
AC ¤È BD ¤Î¸òÅÀ¤ò O ¤È¤·¤Æ AO¡§OC = 1¡§1¡¤DO¡§OB = 1¡§2 ¤òƳ¤­¡¤¢¤TRA ¢æ ¢¤TBD ¤ò»È¤¦²òË¡¡£

#36131
¿ô³Ø¤Ë¤è¤ë²òË¡¡©¡¤¤Î¤è¤¦¤Ç¤¹¤¬¡¤¾ÜºÙ¤ÏÉÔÌÀ¡£

º£»×¤Ã¤¿¤Î¤Ç¤¹¤¬¡¤¾¯¤·²ó¤ê¤¯¤É¤¤¤Ç¤¹¤¬¡¤O ¤Ï ¢¤CRB ¤Î½Å¿´¤Ê¤Î¤Ç¡¤RB ¤È AC ¤Î¸òÅÀ¤ò E ¤È¤·¤¿¤È¤­¤Ë AE¡§EC = 1¡§3 ¤Ç¡¤
¤³¤ì¤«¤é¡¤¥á¥Í¥é¥¦¥¹¤«²¿¤«¤Ç AT¡§TD = 2¡§3 ¤ò½Ð¤¹¡¤¤Ê¤ó¤Æ²òË¡¤â¤¢¤ê¤Þ¤¹¤Í¡£
¥Í¥³¤Î½»¤à²È¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 13:03:02¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36132
¥¹¥â¡¼¥¯¥Þ¥ó
#36131
CR¤Î±äĹ¤È¡¢PA¤Î±äŤǤǤ­¤ë»°³Ñ¤Ç¹Í¤¨¤Þ¤·¤¿¡£
RA//DB//CP
¢¢DBPC=5
¢¢RABD=3
DT:TA=4:1
¢¤DRA=1
¢¤DRT=1*(4/5)
¢¢DABC=4

¤«¤é¤À¤·¤Þ¤·¤¿...^^;v
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 14:03:17¡¡¡¡ ¡¡¡¡36133
¶â¤¬¤¢¤ì¤Ð¤¤¤¤
693²ó¤è¤ê¡¢
3/(6+9)¤Ç¤¹¤Í¡£(¾Ð¡Ë
¥¬¥ÞÀ±±ÀÂè58ÈÖÏÇÀ±¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 18:03:50¡¡¡¡ HomePage:Youtube¤Ç¤¹¤¬¡°¡°¡¨¡¡¡¡36134
wowka
1:4¤ÎÈæΨ¤Ç²ò¤È¤·¤Æ¤¤¤¿¤Î¤Ç¤¹¤¬¡¢°ã¤¦¤è¤¦¤Ç¤·¤¿¡°¡°¡¨
¡¡¡¡ 4·î22Æü¡ÊÌÚ¡Ë 19:59:33¡¡¡¡ MAIL:takatu@iris.ocn.ne.jp ¡¡¡¡36135
fumio
¤¤¤ä¡¼¡¢¤ª¤â¤·¤í¤«¤Ã¤¿¤Ç¤¹¡£ÅùÀÑÊÑ·Á¤òÍøÍѤ·¤Þ¤·¤¿¡£
¥´¥ó¤È¤â¤µ¤ó¤¹¤´¤¤¡ª
¤Ç¤Ï¤Þ¤¿¤Í¡£
¡¡¡¡ 4·î23Æü¡Ê¶â¡Ë 5:59:31¡¡¡¡ ¡¡¡¡36136
fumio
º£Ç¯¤ÎÂçºå¥ª¥Õ¥ß¤Ï»»¥Á¥ã¥ìÌäÂê¡ÖÂè700²óµ­Ç°¡×¤â·ó¤Í¤Æ¤¤¤Þ¤¹¤Í¡£
³Ú¤·¤ß¤Ë¤·¤Æ¤¤¤Þ¤¹¡£
¡¡¡¡ 4·î23Æü¡Ê¶â¡Ë 6:06:20¡¡¡¡ ¡¡¡¡36137
¥Þ¥µ¥ë
#36137
¤¨¡©¤½¤¦¤Ê¤ó¤Ç¤¹¤«¡©¼¡²ó¤ªµÙ¤ß¤Ë¤·¤ÆÎɤ«¤Ã¤¿¤Î¤«...¤Ê¡©¡Ê³Îǧ¤·¤Æ¤Ê¤¤

¤¢¡¢°ì±þ¤â¤¦°ìÅÙ¥¢¥Ê¥¦¥ó¥¹¡£6/20¡ÊÆü¡Ë¤ËÂçºå¤Ç¥ª¥Õ¥ß¤ò¼Â»ÜͽÄê¤Ç¤¹¡¼¡£Í¼Êý¥¹¥¿¡¼¥È¤Ë¤Ê¤ê¤Þ¤¹¡£¤â¤¦¹Ô¤­¤Î¹Ò¶õ·ô¤Ï¼è¤ê¤Þ¤·¤¿¡£
¡¡¡¡ 4·î23Æü¡Ê¶â¡Ë 11:31:08¡¡¡¡ ¡¡¡¡36138
hide
¤»¤Ã¤«¤¯¥ê¥¢¥ë¥¿¥¤¥à¤Ç»²²Ã¤·¤¿¤Î¤Ë

º£¹¹Ç§¾Ú¤ÇÀµ²ò¤·¤Æ¤â¤Ê¤¡¡Ä
¡¡¡¡ 4·î23Æü¡Ê¶â¡Ë 13:14:52¡¡¡¡ ¡¡¡¡36139
R.K.
ÅùÀÑÊÑ·Á¤Ã¤ÆÁÇÀ²¤é¤·¤¤¤Ç¤¹¤Í¡£
Åú¤¨¤ò½Ð¤·¤¿½Ö´Ö´¶Æ°¤·¤Þ¤·¤¿¡£
¡¡¡¡ 4·î25Æü¡ÊÆü¡Ë 11:16:00¡¡¡¡ ¡¡¡¡36140
hide
¼ÁÌä¤Ç¤¹

Ìä
k¤ò3°Ê¾å¤Î´ñ¿ô¤È¤¹¤ë¤È¤­
5^k-1¤Þ¤¿¤Ï2*5^k-1¤¬Ê¿Êý¿ô¤È¤Ê¤ë¤è¤¦¤Êk¤Ï¸ºß¤¹¤ë¤«¡©

1½µ´Ö¤Û¤É¹Í¤¨¤¿¤Î¤Ç¤¹¤¬Åú¤¨¤¬½Ð¤Þ¤»¤ó¡£
¤â¤·¤«¤·¤¿¤é¡¢½Ð¤Ê¤¤¤«¤â¤·¤ì¤Þ¤»¤ó¡Ä

¤Á¤Ê¤ß¤Ë¤³¤ÎÌäÂê¤Ï¤³¤³¤«¤éÇÉÀ¸¤·¤¿¤â¤Î¤Ç¤¹¡£

Ìä
1/7=0.14¡¡ 56¡¡224¡¡896
¡¡¡¡¡¡¡¡¡¡28¡¡112¡¡448
¡¡¡¡¡¡0.142857142857¡Ä
¤È¤¤¤¦¤è¤¦¤Ë1/a¤¬½é¹àa*b/10^(n+c),¹àÈæb/10^c¤Î̵¸Â¹àÈæµé¿ô¤ÎϤȤ·¤Æɽ¤»¤ë¤è¤¦¤Êa¤òÁ´¤Æµá¤á¤è¡£
(a,b,c,n¤Ï¼«Á³¿ô)1/7¤Ïb=2,c=2,n=0¤Î¾ì¹ç¡£

1/2(b=2,c=1,n=0),1/3(b=1,c=1,n=0)¤¬¾ò·ï¤òËþ¤¿¤¹¤Î¤Ïʬ¤«¤Ã¤¿¤Î¤Ç¤¹¤¬¡Ä

¤¦¤Þ¤¯¤ä¤ì¤ÐËÁƬ¤ÎÌäÂê¤ò¹Í¤¨¤Ê¤¯¤Æ¤â²ò¤±¤ë¤Î¤«¤Ê¡©

¡¡¡¡ 5·î2Æü¡ÊÆü¡Ë 14:27:54¡¡¡¡ ¡¡¡¡36141
uchinyan
#36141
¾¯¤·¹Í¤¨¤Æ¤ß¤¿¤Î¤Ç¤¹¤¬¡¤¤Ê¤«¤Ê¤«Æñ¤·¤¤¤è¤¦¤Ç¤¹¡¥¡¥¡¥
¤¿¤À¡¤¼¡¤Î¤è¤¦¤Ê¤Ä¤Þ¤é¤Ê¤¤²ò¤Î·ÏÎ󤬤¢¤ê¤Þ¤¹¡£²¿¤«¾ò·ï¤òÉÕ¤±¤Ê¤¤¤È¡¤a ¤Ï¤¤¤¯¤é¤Ç¤â¤¢¤ê¤Þ¤¹¤Í¡£

1/1 = (1 * 5)/10^(0 + 1) * (1 + 5/10^1 + (5/10^1)^2 + ...)
1/10 = (10 * 5)/10^(2 + 1) * (1 + 5/10^1 + (5/10^1)^2 + ...)
...
1/2 = (2 * 2)/10^(0 + 1) * (1 + 2/10^1 + (2/10^1)^2 + ...)
1/20 = (20 * 2)/10^(2 + 1) * (1 + 2/10^1 + (2/10^1)^2 + ...)
...
1/3 = (3 * 1)/10^(0 + 1) * (1 + 1/10^1 + (1/10^1)^2 + ...)
1/30 = (30 * 1)/10^(2 + 1) * (1 + 1/10^1 + (1/10^1)^2 + ...)
...
1/7 = (7 * 2)/10^(0 + 2) * (1 + 2/10^2 + (2/10^2)^2 + ...)
1/70 = (70 * 2)/10^(2 + 2) * (1 + 2/10^2 + (2/10^2)^2 + ...)
...

¤³¤ì°Ê³°¤Ë¤â¡¤¼¡¤Î¤è¤¦¤Ê²ò¤â¤¢¤ë¤è¤¦¤Ç¤¹¡£

1/5 = (5 * 8)/10^(2 + 1) * (1 + 8/10^1 + (8/10^1)^2 + ...)
1/55 = (55 * 32)/10^(2 + 3) * (1 + 32/10^3 + (32/10^3)^2 + ...)

Àè¤Û¤É¤ÈƱ¤¸¤è¤¦¤Ê·ÏÎó¤â¤â¤Á¤í¤ó²ò¤Ë¤Ê¤ê¤Þ¤¹¡£

¾¤Ë¤¢¤ë¤«¤É¤¦¤«¤Ï¡¤¤è¤¯Ê¬¤«¤ê¤Þ¤»¤ó (^^;
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î3Æü¡Ê·î¡Ë 18:01:38¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36142
¥¹¥â¡¼¥¯¥Þ¥ó
#36142
uchinyan¤µ¤ó¤Ø ^^
¤ï¤¿¤·¤â¹Í¤¨¤Æ¤ë¤ó¤Ç¤¹¤¬...
µ®Å¤ÎÄ󼨤µ¤ì¤¿²ò¤Î·ÏÎó¤Ï¤¤¤«¤è¤¦¤ÊÊýË¡¤Ç¸«¤Ä¤±¤é¤ì¤¿¤Î¤Ç¤·¤ç¤¦¤«...¢ö
¤è¤í¤·¤±¤ì¤Ð...Êý¿Ë¤Î¤´³«ÄĤò¤¤¤¿¤À¤±¤ì¤Ð¤¢¤ê¤¬¤¿¤¤¤Î¤Ç¤¹¤¬...~m(_ _)m~v
¡¡¡¡ 5·î3Æü¡Ê·î¡Ë 23:44:23¡¡¡¡ ¡¡¡¡36143
hide
#36142
uchinyan¤µ¤ó¤Ø
¤½¤¦¤Ç¤¹¤Í¡£²¿¤«¾ò·ï¤¬Â­¤ê¤Ê¤¤µ¤¤¬¤·¤Þ¤¹¡Ä
³Ø¹»¤Çͧ¿Í¤Ëʹ¤¤¤¿ÌäÂê¤Ê¤Î¤ÇGWÌÀ¤±¤Æ¤«¤é¤Ç¤Ê¤¤¤È³Îǧ¤Ç¤­¤Þ¤»¤ó¤¬
¤È¤ê¤¢¤¨¤º¤ÏÌäÂê¤Ï¤³¤Î¤Þ¤Þ¤Ç¹Í¤¨¤Þ¤¹¡£
¤½¤ì¤È¡Ön¤Ï¼«Á³¿ô¡×¤Ç¤Ï¤Ê¤¯¡¢¡Ö£°¤Þ¤¿¤Ï¼«Á³¿ô¡×¤Ç¤·¤¿¡£

¤Á¤Ê¤ß¤Ë¡¢¼«Ê¬¤¬1½µ´Ö¶á¤¯¹Í¤¨¤¿·ë²Ì

̵¸Â¹àÈæµé¿ô¤ÎϤ«¤é
(10^n)/a=ca/(10^b-c)¤È¤Ê¤ê¤³¤ì¤ò
a^2/10^n=(10^b)/c-1¤ÈÊÑ·Á¤¹¤ë¡£¡Ä¡ù
º¸ÊÕ¤òÌóʬ¤¹¤ë¤Èm^2¤«10*m^2¤«1¤È¤Ê¤ë¡£¡Êm¤Ï¼«Á³¿ô¡Ë
­¡10*m^2¤Î¾ì¹ç
±¦ÊÕ¤¬10¤ÎÇÜ¿ô¤Ë¤Ê¤ë¤Ë¤Ï¡Ê±¦Êաˡᣰ¤È¤Ê¤é¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£
¤·¤«¤·¤³¤Î¤È¤­m=0¤È¤Ê¤ë¤Î¤ÇÉÔŬ¡£
­¢1¤Ê¤ë¾ì¹ç
c=10^b/2¤È¤¹¤ë¤³¤È¤Ç¡¢Åù¼°¤òËþ¤¿¤»¤ë¡£
¡ù¤ËÂåÆþ¤·a^2=10^n¤È¤Ê¤ë¡£
a=10^p(p¤ÏǤ°Õ¤ÎÈóÉéÀ°¿ô¡Ë
­£m^2¤Î¾ì¹ç
m^2=(10^b)/c-1
4¤Ç¤Î¾ê;¤«¤é±¦ÊÕ¤Ï2¤Î°ø¿ô¤ò2¤Ä°Ê¾å»ý¤¿¤Ê¤¤¡£
¤è¤Ã¤Æ¡¢±¦ÊÕ¤Ï5^k-1¤Þ¤¿¤Ï2*5^k-1¤ÈÊÑ·Á¤Ç¤­¤ë¡Êk¤Ï¼«Á³¿ô¡Ë
m^2=5^k-1¤Þ¤¿¤Ï2*5^k-1¡Ä¢¨
(1)k¤¬¶ö¿ô¤Î¤È¤­
Á°¼Ô¤Ï5^k¤¬Ê¿Êý¿ô¤È¤Ê¤ë¤Î¤Ç5^k-1¤ÏÊ¿Êý¿ô¤È¤Ê¤é¤Ê¤¤¡£
¸å¼Ô¤Ïk=1¤Ä¤Þ¤êa=7*10^p¤Î¤ß¤Ç¤¢¤ë¤³¤È¤¬¾ÚÌÀ¤Ç¤­¤ë¡£¡Ê¾ÚÌÀ¤Ï²¼¤ÎÊý¡Ë
(2)k=1¤Î¤È¤­
³Æ¡¹¢¨¤ËÂåÆþ¤·Á°¼Ô¤Ïa=2*10^p¡¢¸å¼Ô¤Ïa=3*10^p¤È¤Ê¤ë¡£
(3)k¤¬3°Ê¾å¤Î´ñ¿ô¤Î¤È¤­
???

¡Ê¾ÚÌÀ¡Ë¡Ê¤¢¤ó¤Þ¤ê¤­¤ì¤¤¤¸¤ã¤Ê¤¤¤±¤É¡Ä¡Ë
5^k=2r+1¤È¤ª¤¯¡£
2(2r+1)^2-m^2=1¤È¤Ê¤ê4¤Ç¤Î¾ê;¤«¤ém¤Ï´ñ¿ô¤Èʬ¤«¤ë¡£
m=2s+1¤òÂåÆþ¤·À°Íý¤¹¤ë¤È
2r(r+1)=s(s+1)
¤È¤Ê¤êr=2,s=3¤È¤Ê¤ê¡¢¤³¤ì¤é¤Ïk=1,m=7¤ÈÂбþ¤¹¤ë¡£
¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 1:53:02¡¡¡¡ ¡¡¡¡36144
uchinyan
#36144¡¡hide¤µ¤ó
¡ä¤½¤¦¤Ç¤¹¤Í¡£²¿¤«¾ò·ï¤¬Â­¤ê¤Ê¤¤µ¤¤¬¤·¤Þ¤¹¡Ä
¤¨¤È¡¤a ¤ËÂФ·¤Æ 10 ¤Î¤Ù¤­¾è¤ÎÉÔÄêÀ­¤òǧ¤á¤ë¤Ê¤é¤Ð¡¤º£¤Î¤Þ¤Þ¤ÇÌäÂê¤Ê¤¤¤Ç¤¹¤Í¡£
¡ä¤È¤ê¤¢¤¨¤º¤ÏÌäÂê¤Ï¤³¤Î¤Þ¤Þ¤Ç¹Í¤¨¤Þ¤¹¡£
¤Ï¤¤¡¤¤½¤ì¤Ç¤¤¤¤¤È»×¤¤¤Þ¤¹¡£
¤Ê¤ª¡¤¼¡¤Î²ò¡¤¤È¤½¤Î 10 ¤Î¤Ù¤­¾è¤Î·ÏÎ󡤤⸫¤Ä¤±¤Þ¤·¤¿¡£
1/75 = (75 * 64)/10^(4 + 2) * (1 + 64/10^2 + (64/10^2)^2 + ...)

¡ä¤Á¤Ê¤ß¤Ë¡¢¼«Ê¬¤¬1½µ´Ö¶á¤¯¹Í¤¨¤¿·ë²Ì
Æɤó¤Ç¤ß¤¿¤Î¤Ç¤¹¤¬¡¤¤è¤¯Ê¬¤«¤é¤Ê¤¤ÅÀ¤¬¤¢¤ë¤Î¤Ç¶µ¤¨¤Æ¤¯¤À¤µ¤¤¡£

¡ä̵¸Â¹àÈæµé¿ô¤ÎϤ«¤é
¡ä(10^n)/a=ca/(10^b-c)¤È¤Ê¤ê¤³¤ì¤ò
¤¨¡¼¤È¡¤b ¤È c ¤¬ÌäÂêʸ¤ÈÈ¿ÂФÀ¤È»×¤¤¤Þ¤¹¤¬¡¤¤Þ¤¡¤½¤ì¤Ï¤¤¤¤¤È¤·¤Æ¡£
¡äa^2/10^n=(10^b)/c-1¤ÈÊÑ·Á¤¹¤ë¡£¡Ä¡ù
¡äº¸ÊÕ¤òÌóʬ¤¹¤ë¤Èm^2¤«10*m^2¤«1¤È¤Ê¤ë¡£¡Êm¤Ï¼«Á³¿ô¡Ë
¤³¤³¤Ïʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£a^2/10^n ¤òÀ°¿ô¤È²¾Äꤷ¤Æ¤¤¤ë¤è¤¦¤Ë»×¤¤¤Þ¤¹¤¬¡¤¤½¤ì¤Ï¤É¤¦¤·¤Æ¤Ç¤¹¤«¡©
¿ʬ¤³¤¦¤¹¤ë¤È¡¤1/5¡¤1/55¡¤1/75 ¤Ï½Ð¤ÆÍè¤Ê¤¤¤È»×¤¤¤Þ¤¹¡£
¡ä­¡10*m^2¤Î¾ì¹ç
¡ä±¦ÊÕ¤¬10¤ÎÇÜ¿ô¤Ë¤Ê¤ë¤Ë¤Ï¡Ê±¦Êաˡᣰ¤È¤Ê¤é¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£
¡ä¤·¤«¤·¤³¤Î¤È¤­m=0¤È¤Ê¤ë¤Î¤ÇÉÔŬ¡£
¤³¤ì¤ÏOK¡£
¡ä­¢1¤Ê¤ë¾ì¹ç
¡äc=10^b/2¤È¤¹¤ë¤³¤È¤Ç¡¢Åù¼°¤òËþ¤¿¤»¤ë¡£
¡ä¡ù¤ËÂåÆþ¤·a^2=10^n¤È¤Ê¤ë¡£
¡äa=10^p(p¤ÏǤ°Õ¤ÎÈóÉéÀ°¿ô¡Ë
¤³¤ì¤âOK.
¡ä­£m^2¤Î¾ì¹ç
¡äm^2=(10^b)/c-1
¡ä4¤Ç¤Î¾ê;¤«¤é±¦ÊÕ¤Ï2¤Î°ø¿ô¤ò2¤Ä°Ê¾å»ý¤¿¤Ê¤¤¡£
¡ä¤è¤Ã¤Æ¡¢±¦ÊÕ¤Ï5^k-1¤Þ¤¿¤Ï2*5^k-1¤ÈÊÑ·Á¤Ç¤­¤ë¡Êk¤Ï¼«Á³¿ô¡Ë
¡Ö±¦ÊÕ¡×->¡Ö(10^b)/c¡×¤Î´Ö°ã¤¤¡£
¡äm^2=5^k-1¤Þ¤¿¤Ï2*5^k-1¡Ä¢¨
¤³¤ì¤ÏOK¡£
¡ä(1)k¤¬¶ö¿ô¤Î¤È¤­
¡äÁ°¼Ô¤Ï5^k¤¬Ê¿Êý¿ô¤È¤Ê¤ë¤Î¤Ç5^k-1¤ÏÊ¿Êý¿ô¤È¤Ê¤é¤Ê¤¤¡£
¤³¤ì¤âOK¡£
¡ä¸å¼Ô¤Ïk=1¤Ä¤Þ¤êa=7*10^p¤Î¤ß¤Ç¤¢¤ë¤³¤È¤¬¾ÚÌÀ¤Ç¤­¤ë¡£¡Ê¾ÚÌÀ¤Ï²¼¤ÎÊý¡Ë
¤³¤ì¤Ï¸å¤Ç¡£
¡ä(2)k=1¤Î¤È¤­
¡ä³Æ¡¹¢¨¤ËÂåÆþ¤·Á°¼Ô¤Ïa=2*10^p¡¢¸å¼Ô¤Ïa=3*10^p¤È¤Ê¤ë¡£
¤³¤ì¤âOK¡£
¡ä(3)k¤¬3°Ê¾å¤Î´ñ¿ô¤Î¤È¤­
¡ä???
¤³¤³¤Ï»ä¤â¤Þ¤Àʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£²ò¤Ï¤Ê¤µ¤½¤¦¤Ç¤¹¤¬¡¥¡¥¡¥
¡ä¡Ê¾ÚÌÀ¡Ë¡Ê¤¢¤ó¤Þ¤ê¤­¤ì¤¤¤¸¤ã¤Ê¤¤¤±¤É¡Ä¡Ë
¡ä5^k=2r+1¤È¤ª¤¯¡£
¡ä2(2r+1)^2-m^2=1¤È¤Ê¤ê4¤Ç¤Î¾ê;¤«¤ém¤Ï´ñ¿ô¤Èʬ¤«¤ë¡£
¤³¤ì¤âOK¡£
¡äm=2s+1¤òÂåÆþ¤·À°Íý¤¹¤ë¤È
¡ä2r(r+1)=s(s+1)
¡ä¤È¤Ê¤êr=2,s=3¤È¤Ê¤ê¡¢¤³¤ì¤é¤Ïk=1,m=7¤ÈÂбþ¤¹¤ë¡£
¿ʬÀµ¤·¤½¤¦¤À¤È¤Ï»×¤¤¤Þ¤¹¤¬¡¤¤³¤³¤âʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£
¾¯¤Ê¤¯¤È¤â¡Ör=2,s=3¡×°Ê³°¤Ë²ò¤¬¤Ê¤¤¤³¤È¤ò¤Á¤ã¤ó¤È¼¨¤µ¤Ê¤¤¤È¾ÚÌÀ¤È¤Ï¤¤¤¨¤Þ¤»¤ó¡£
¤â¤¦¾¯¤·¾ÜºÙ¤Ë¤ª´ê¤¤Ãפ·¤Þ¤¹¡£
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 13:21:32¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36145
uchinyan
#36143¡¡¥¹¥â¡¼¥¯¥Þ¥ó¤µ¤ó
hide¤µ¤ó¤Î#36144¤È´ðËÜŪ¤Ë¤ÏƱ¤¸¤Ç¤¹¡£²ò¤±¤Æ¤¤¤Þ¤»¤ó¤¬¡¤°ì±þ½ñ¤¤¤Æ¤ª¤­¤Þ¤¹¤Í¡£

ÅùÈæ¿ôÎó¤ÎϤè¤ê
1/a = ab/10^(n+c) * (1 + b/10^c + (b/10^c)^2 + ...) = ab/10^(n+c) * 1/(1 - b/10^c) = ab/(10^n * (10^c - b))
a^2 * b = 10^n * (10^c - b)
a^2 = 10^(n+c)/b - 10^n
a^2¡¤10^n ¤Ï¤È¤â¤Ë¼«Á³¿ô¤Ê¤Î¤Ç 10^(n+c)/b ¤â¼«Á³¿ô¤Ç¡¤m¡¤k ¤ò 0 °Ê¾å¤ÎÀ°¿ô¤È¤·¤Æ¡¤
a^2 = 2^m * 5^k - 10^n
b = 2^(n+c-m) * 5^(n+c-k)
¤È¤ª¤±¤Þ¤¹¡£¼Â¤Ï¡¤ºÇ½é¤Î¼°¤Ç·è¤Þ¤ë a¡¤n¡¤m¡¤k ¤ËÂФ·¤Æ b ¤ò·è¤á¤ëºÝ¤Ë c ¤Ë¤Ï¼«Í³ÅÙ¤¬¤¢¤ë¤Î¤Ç¤¹¤¬¡¤
b ¤¬ºÇ¾®¤ÎÀ°¿ô¤Ë¤Ê¤ë¤è¤¦¤Ë c ¤òÁª¤Ö¤³¤È¤Ë¤·¤Þ¤¹¡£
¤³¤³¤Ç¡¤¤Þ¤º n = 0 ¤Î¾ì¹ç¤ò¹Í¤¨¤Æ¤ß¤Þ¤·¤¿¡£
¤½¤ì¤Ï¡¤n = 0 ¤Î¾ì¹ç¤Î²ò
a^2 = 2^m * 5^k - 1
¤¬¸«¤Ä¤«¤ì¤Ð¡¤p ¤ò 0 °Ê¾å¤ÎÀ°¿ô¤È¤·¤Æ¡¤
(a * 10^p)^2 = 2^(m+2p) * 5^(k+2p) - 10^(2p)
n = 2p ¤Î¾ì¹ç¤Î²ò¤â¸«¤Ä¤«¤ë¤«¤é¤Ç¤¹¡£
¤¿¤À¡¤ÏäϤ½¤¦Ã±½ã¤Ç¤Ï¤Ê¤¯¡¤n ¤¬Àµ¤ÎÀ°¿ô¤Î¤³¤ì°Ê³°¤Î²ò¤â¤¢¤ê¤Þ¤¹¡£¤½¤ì¤Ï¡¤
b = 2^(n+c-m) * 5^(n+c-k)
¤Î m ¤ä k ¤¬ n ¤ä c ñÆȤè¤ê¤âÂ礭¤¯ n+c °Ê²¼¤Î¾ì¹ç¤Ç¤¹¡£
¤½¤ì¤¬¡¤a = 5, 55, 75 ¤Î¾ì¹ç¤Ç¡¤¤³¤ì¤é¤Ï»î¹Ôºø¸í¤Ç¸«¤Ä¤±¤Þ¤·¤¿¡£¤Þ¤À¤¢¤ë¤«¤â¤·¤ì¤Þ¤»¤ó¡£
°ìÊý¡¤n = 0 ¤Î¾ì¹ç¤Ç¤¹¤¬¡¤
a^2 = 2^m * 5^k - 1
b = 2^(c-m) * 5^(c-k)
¤³¤Î¾ì¹ç¤Ï c = max(m,k) ¤È¤¹¤ì¤Ð¤¤¤¤¤Ç¤¹¤Í¡£
¤³¤³¤Ç¡¤a^2 + 1 ¤Ï 4 ¤Ç³ä¤Ã¤Æ 1 Ëô¤Ï 2 ;¤ë¿ô¤Ê¤Î¤Ç m = 0 Ëô¤Ï 1 ¤Ç¤¹¡£¤½¤³¤Ç¡¤
(1) a^2 = 5^k - 1 ¤Î¾ì¹ç
m = 0, k = 0, a = 0¡¡ÉÔ²Ä
m = 0, k = 1, a = 2, c = 1, b = 2
¤Ï¡¤¤¹¤°¤Ëʬ¤«¤ê¤Þ¤¹¡£
¤Þ¤¿¡¤k ¤¬ 2 °Ê¾å¤Î¶ö¿ô¤Î¾ì¹ç¤Ë²ò¤¬¤Ê¤¤¤Î¤âÌÀ¤é¤«¤Ç¤·¤ç¤¦¡£
ÌäÂê¤Ï¤½¤ì°Ê³°¤Ç¡¤²ò¤Ï¤Ê¤µ¤½¤¦¤Ç¤¹¤¬¡¤Ê¬¤«¤Ã¤Æ¤¤¤Þ¤»¤ó¡£
(2) a^2 = 2 * 5^k - 1 ¤Î¾ì¹ç
m = 1, k = 0, a = 1, c = 1, b = 5
m = 1, k = 1, a = 3, c = 1, b = 1
m = 1, k = 2, a = 7, c = 2, b = 2
¤Ï¡¤¤¹¤°¤Ëʬ¤«¤ê¤Þ¤¹¡£ÌäÂê¤Ï¡¤¤½¤ì°Ê³°¤Ç¤¹¡£
¤¿¤À¡¤hide¤µ¤ó¤ÎºÇ¸åÉôʬ¤Î¾ÚÌÀ¤¬¾ÜºÙ¤Ë¼¨¤µ¤ì¤ì¤Ð¡¤k ¤¬¶ö¿ô¤Î¾ì¹ç¤Ï²ò·è¤µ¤ì¤Þ¤¹¤Í¡£

¤È¤¤¤¦¤ï¤±¤Ç¡¤¸½»þÅÀ¤Ç»ä¤¬Ê¬¤«¤é¤Ê¤¤¤Î¤Ï¡¤
¡¦a^2 = 5^k - 1¡¤k ¤Ï 3 °Ê¾å¤Î´ñ¿ô
¡¦a^2 = 2 * 5^k - 1¡¤k ¤Ï 3 °Ê¾å¤ÎÀ°¿ô
¡¦n ¤¬ 1 °Ê¾å¤Î n = 0 ¤«¤é¤ÏƳ¤±¤Ê¤¤²ò
¤Ë¤Ê¤ê¤Þ¤¹¡£
¤Ê¤ª¡¤ºÇ½é¤ÎÆó¤Ä¤Ï¡¤¥Ú¥ëÊýÄø¼°
http://ja.wikipedia.org/wiki/%E3%83%9A%E3%83%AB%E6%96%B9%E7%A8%8B%E5%BC%8F
¤È¤¤¤¦Í­Ì¾¤ÊÊýÄø¼°¤Î·Á¤ò¤·¤Æ¤¤¤ë¤Î¤Ç¡¤¤½¤Á¤é¤«¤é¤Î¥¢¥×¥í¡¼¥Á¤Ç¤Ç¤­¤½¤¦¤Êµ¤¤â¤¹¤ë¤Î¤Ç¤¹¤¬¡¥¡¥¡¥
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 13:27:33¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36146
¥¹¥â¡¼¥¯¥Þ¥ó
#36146
uchinyan¤µ¤ó¤Ø ^^
¾ÜºÙ¤Ê²òÀ⤢¤ê¤¬¤È¤¦¤´¤¶¤¤¤Þ¤·¤¿ m(_ _)m¡Áv
Íý²ò¤ËÅؤ᤿¤¤¤È»×¤¤¤Þ¤¹...^^;v

5^k-1=n^2 ...¸ºß¤¹¤ë¤«¤É¤¦¤«¤ò¹Í¤¨¤Æ¤ß¤Þ¤·¤¿...¤¤¤Ä¤â¤Ê¤¬¤é¥¢¥Ð¥¦¥È¤Ç¤¹¤¬...^^;

5^k-1=n^2 ¤¬¤¢¤ë¤È¤¹¤ë¤È...
5-1=2^2 ¤Ê¤Î¤Ç...

5^k-5=n^2-4=(n+2)(n-2)
5(5^(k-1)-1)=5*(5^((k-1)/2)-1)(5^((k-1)/2)+1)
n+2=5m
n-2=m+2
4=4m-2
m=3/2...¤ÈÀ°¿ô¤Ë¤Ê¤é¤Ê¤¤...¤Î¤ÇÌ·½â
¤Ç¤Ï¤À¤á¤«¤Ê¤¡...^^;?
¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 13:51:45¡¡¡¡ ¡¡¡¡36147
¥¹¥â¡¼¥¯¥Þ¥ó
#36147
±³¤Ç¤·¤¿...^^; Orz...
n+2=5m
n-2=m+4

m=2
n=8
5^k-1=8^2
5^k=65 ¤òËþ¤¿¤¹¤â¤Î¤Ï¤Ê¤¤...
¤Ë¤Ê¤ê¤½¤¦...?

°ø¿ôʬ²ò¤Î¤¢¤¿¤ê¤¬...°Â°×¤¹¤®¤ë¤«¤Ê¤¡...^^;?
¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 13:59:54¡¡¡¡ ¡¡¡¡36148
uchinyan
#36147¡¤#36148
¡ä5^k-5=n^2-4=(n+2)(n-2)
¡ä5(5^(k-1)-1)=5*(5^((k-1)/2)-1)(5^((k-1)/2)+1)
¤³¤³¤Ç¡¤m = 5^((k-1)/2) - 1 ¤È¤ª¤¤¤Æ¤¤¤ë¤Î¤Ç¤·¤ç¤¦¤«¡©
¤½¤¦¤Ê¤é¤Ð¡¤
¡än+2=5m
¡än-2=m+2
¤Î²ÄǽÀ­¤â¤¢¤ê¤Þ¤¹¤¬¡¤°ìÈÌ¤Ë¤Ï m ¤ÏÁÇ¿ô¤Ç¤Ï¤Ê¤¤¤Î¤Ç m ¤òÁÇ°ø¿ôʬ²ò¤·¤¿ÍÍ¡¹¤Î²ÄǽÀ­¤¬¤¢¤ê¡¤¤³¤ì¤À¤±¤Ç¤ÏÁ´¤¯ÉÔ½½Ê¬¤Ç¤¹¡£
¤Ê¤ª¡¤
¡än+2=5m
¡än-2=m+4
¤³¤ì¤Ï¤à¤·¤í¤ª¤«¤·¤¤¤Î¤Ç¤Ï¡©
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 15:24:53¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36149
¥¹¥â¡¼¥¯¥Þ¥ó
#36149
uchinyan¤µ¤ó¤Ø ^^
¤Þ¤Ã¤¿¤¯½ÐíÌܤˤʤäƤ·¤Þ¤Ã¤Æ¤Þ¤·¤¿...^^;;; Orz...
n+2 ¤È n-2 ¤Ïº¹¤¬ 4 ¤Ê¤Î¤Ç...
¤·¤«¤â...5, (5^(k-1)/2)¡Þ1 ¤Ï¸ß¤¤¤ËÁǤʤΤÇ...
n+2 or n-2 ¤¬ 5 ¤òÁÇ°ø¿ô¤È¤·¤Æ»ý¤Á...
¤½¤ì¤é¤Îº¹¤Ï...ºÇÄã¤Ç¤â 5>4 ¤Îº¹¤¬À¸¤Þ¤ì¤ë¤Î¤Ç...Ì·½â¤¹¤ë...
¤È¸À¤¨¤Ê¤¤¤«¤Ê¤¡...^^;?
¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 15:59:16¡¡¡¡ ¡¡¡¡36150
uchinyan
#36150
¡än+2 ¤È n-2 ¤Ïº¹¤¬ 4 ¤Ê¤Î¤Ç...
¤³¤ì¤ÏOK¡£
¡ä¤·¤«¤â...5, (5^(k-1)/2)¡Þ1 ¤Ï¸ß¤¤¤ËÁǤʤΤÇ...
5 ¤È 5^((k-1)/2) + 1¡¤5 ¤È 5^((k-1)/2) - 1¡¤¤Ï¡¤¤½¤ì¤¾¤ì¸ß¤ËÁǤǤ¹¤Í¡£
¡än+2 or n-2 ¤¬ 5 ¤òÁÇ°ø¿ô¤È¤·¤Æ»ý¤Á...
¤³¤ì¤âOK¡£5 ¤Î°ø¿ô¤Ï¤É¤Á¤é¤«°ìÊý¤·¤«¤â¤Æ¤Þ¤»¤ó¤Í¡£¤·¤«¤·¡¤
¡ä¤½¤ì¤é¤Îº¹¤Ï...ºÇÄã¤Ç¤â 5>4 ¤Îº¹¤¬À¸¤Þ¤ì¤ë¤Î¤Ç...Ì·½â¤¹¤ë...
¤³¤ì¤Ï¡¤Î¾Êý¤È¤â 5 ¤ÎÇÜ¿ô¤Ê¤é¤Ð¤¤¤¨¤Þ¤¹¤¬¡¤¤½¤¦¤Ç¤Ï¤Ê¤¤¤Î¤Ç¡¤°ìÈ̤ˤϡ¤º£¤Þ¤Ç¤Î²¾Äê¤À¤±¤Ç¤Ï̵Íý¤Êµ¤¤¬¤·¤Þ¤¹¡£
¾¤Î¾ò·ï¤ò¤¦¤Þ¤¯»È¤¨¤Ð¤¤¤¨¤ë¤Î¤«¤âÃΤì¤Þ¤»¤ó¤¬¡¥¡¥¡¥
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 18:03:53¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36151
¥¹¥â¡¼¥¯¥Þ¥ó
#36151
uchinyan¤µ¤ó¤Ø ^^
¤ª¤Ã¤·¤ã¤ë°ÕÌ£¤¬Íý²ò¤Ç¤­¤Þ¤·¤¿...Orz
¤¿¤·¤«¤Ë...¤½¤¦¤Ç¤¹¤Í...^^;

5,m,m-2
ºÇ¾®¤Î¾ì¹ç...5,3,1
¤¿¤·¤«¤Ë...5*1-3=2
¤½¤ì°Ê¾å¤Ï...¶ö¿ô{(6,4)°Ê¾å¤Î)¤Ë¤Ê¤ë¤Î¤Ç...
5*(2m)-2g=4
¤Ë¤Ê¤ë(¤¢¤ë¤È¤¹¤ë¤È...¤³¤Î·Á¤·¤«¤Ê¤¤)¤È¤¹¤ë¤È...
g=5m-2
5*2m*2*(5m-2) =(n+2)(n-2) ¤Ê¤Î¤Ç...
10m ¤È 2(5m-2) ¤¬Ëþ¤¿¤·¤Æ¤ë!!...Åö¤¿¤êÁ°¤«¤Ê...^^;?...¤ï¤±¤ï¤«¤é¤Ê¤¤¤³¤È¤ËÖȤäƤ뤫¤Ê¤¡...

¤³¤Î¤È¤­¡Ä
10m*(10m-4)=5^k-5
4m(5m-1)=5^(k-1)-1
20m^2-4m+1=5^(k-1)

m=5g-1
20(5g-1)^2-4(5g-1)+1=4(5g-1)^2-4g+1=5-4g
g=5h
m=25h-1
20(25h-1)^2-4(25h-1)+1=20(25^2*h^2-50h+1)-4*25h+5
=25(20*25h^2-44h+1)
=5^(k-1)

20*25*h^2-44h+1=5^(k-3)
h=5a-1
20*25(5a-1)^2-44(5a-1)+1=100(5a-1)^2-44a+9
a=5b-4
100(5(5b-4)-1)^2-44(5b-4)+9=20(25b-21)^2-44b+37
b=5c+3
¡¦¡¦¡¦
k-1 ¤ÏÍ­¸Â¤Ç...¤¤¤º¤ì¤Ï0¤Ë¤Ê¤ë...
¤³¤Î·×»»¤Ï̵¸Â¤Ë³¤¯(¤³¤ì¤¬¤¤¤¨¤ì¤Ð¤¤¤¤¤ó¤Ç¤·¤ç¤¦¤Í ^^;)¤Î¤Ç...¤¢¤êÆÀ¤Ê¤¤¤Ã¤Æ¤Ê´¶¤¸¤Ë¤Ê¤ë¤Î¤«¤Ê...?

¹ß»²/Çò´ú...Orz...^^;v
¡¡¡¡ 5·î4Æü¡Ê²Ð¡Ë 19:52:11¡¡¡¡ ¡¡¡¡36152
hide
#36145
uchinyan¤µ¤ó¤Ø

¡ä¡ä2r(r+1)=s(s+1)
¡ä¡ä¤È¤Ê¤êr=2,s=3¤È¤Ê¤ê¡¢¤³¤ì¤é¤Ïk=1,m=7¤ÈÂбþ¤¹¤ë¡£
¡ä¿ʬÀµ¤·¤½¤¦¤À¤È¤Ï»×¤¤¤Þ¤¹¤¬¡¤¤³¤³¤âʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£
¡ä¾¯¤Ê¤¯¤È¤â¡Ör=2,s=3¡×°Ê³°¤Ë²ò¤¬¤Ê¤¤¤³¤È¤ò¤Á¤ã¤ó¤È¼¨¤µ¤Ê¤¤¤È¾ÚÌÀ¤È¤Ï¤¤¤¨¤Þ¤»¤ó¡£
¡ä¤â¤¦¾¯¤·¾ÜºÙ¤Ë¤ª´ê¤¤Ãפ·¤Þ¤¹¡£

¤¨¡¼¤Ã¤È¡¢¤³¤ì¤Ç¤Ï¾ÚÌÀ¤Ë¤Ê¤Ã¤Æ¤¤¤Ê¤¤¤«¤â¤·¤ì¤Þ¤»¤ó¤¬¡¢¤³¤Î¤è¤¦¤Ë¹Í¤¨¤Þ¤·¤¿¡£
Ϣ³¤¹¤ë2¿ô¤ÎÀѤÏ
2,6,12,20,30¡Ä
¤È¤Ê¤ê¡Ê6,12)¤ÎÁȰʹߤÀ¤Èº¹¤¬2Çܰʾå¤Ë¤Ê¤é¤Ê¤¤¡£
¤è¤Ã¤Æ¾ò·ï¤òËþ¤¿¤¹¤Î¤Ï¤³¤ì¤Î¤ß¤Ç¤¢¤ë¤È¸À¤¨¤ë¡£
¤³¤ì¤Ç¤¤¤¤¤Î¤«¤Ê¤¡¡£¤Á¤ç¤Ã¤ÈÉ԰¡£

¡ä¡äa^2/10^n=(10^b)/c-1¤ÈÊÑ·Á¤¹¤ë¡£¡Ä¡ù
¡ä¡äº¸ÊÕ¤òÌóʬ¤¹¤ë¤Èm^2¤«10*m^2¤«1¤È¤Ê¤ë¡£¡Êm¤Ï¼«Á³¿ô¡Ë
¡ä¤³¤³¤Ïʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£a^2/10^n ¤òÀ°¿ô¤È²¾Äꤷ¤Æ¤¤¤ë¤è¤¦¤Ë»×¤¤¤Þ¤¹¤¬¡¤¤½¤ì¤Ï¤É¤¦¤·¤Æ¤Ç¤¹¤«¡©
¡ä¿ʬ¤³¤¦¤¹¤ë¤È¡¤1/5¡¤1/55¡¤1/75 ¤Ï½Ð¤ÆÍè¤Ê¤¤¤È»×¤¤¤Þ¤¹¡£

¤ï¡¢¤ä¤Ã¤Æ¤·¤Þ¤Ã¤¿¡Ä
¤¹¤Ã¤«¤ê´ª°ã¤¤¤·¤Æ¤¿¡Ä
Æ»Íý¤Ç1/5¤òËþ¤¿¤¹¿ô¤¬Ìµ¤¤¤ï¤±¤À¡Ä

¤¢¤Î¼°¤ÇÀ°¿ô¤¸¤ã¤Ê¤¤¾ì¹ç¤ò¹Í¤¨¤ë¤è¤ê¤Ïuchinyan¤µ¤ó¤Î
a^2 = 2^m * 5^k - 10^n
b = 2^(n+c-m) * 5^(n+c-k)
¤³¤Î¼°¤Ç¹Í¤¨¤¿¤Û¤¦¤¬Îɤµ¤½¤¦¡£
¡¡¡¡ 5·î5Æü¡Ê¿å¡Ë 10:34:14¡¡¡¡ ¡¡¡¡36153
uchinyan
#36153
¡ä¡ä¡ä2r(r+1)=s(s+1)
¡ä¡ä¡ä¤È¤Ê¤êr=2,s=3¤È¤Ê¤ê¡¢¤³¤ì¤é¤Ïk=1,m=7¤ÈÂбþ¤¹¤ë¡£
¡ä¡ä¿ʬÀµ¤·¤½¤¦¤À¤È¤Ï»×¤¤¤Þ¤¹¤¬¡¤¤³¤³¤âʬ¤«¤é¤Ê¤¤¤Ç¤¹¡£
¡ä¡ä¾¯¤Ê¤¯¤È¤â¡Ör=2,s=3¡×°Ê³°¤Ë²ò¤¬¤Ê¤¤¤³¤È¤ò¤Á¤ã¤ó¤È¼¨¤µ¤Ê¤¤¤È¾ÚÌÀ¤È¤Ï¤¤¤¨¤Þ¤»¤ó¡£
¡ä¡ä¤â¤¦¾¯¤·¾ÜºÙ¤Ë¤ª´ê¤¤Ãפ·¤Þ¤¹¡£
¡ä
¡ä¤¨¡¼¤Ã¤È¡¢¤³¤ì¤Ç¤Ï¾ÚÌÀ¤Ë¤Ê¤Ã¤Æ¤¤¤Ê¤¤¤«¤â¤·¤ì¤Þ¤»¤ó¤¬¡¢¤³¤Î¤è¤¦¤Ë¹Í¤¨¤Þ¤·¤¿¡£
¡äϢ³¤¹¤ë2¿ô¤ÎÀѤÏ
¡ä2,6,12,20,30¡Ä
¡ä¤È¤Ê¤ê¡Ê6,12)¤ÎÁȰʹߤÀ¤Èº¹¤¬2Çܰʾå¤Ë¤Ê¤é¤Ê¤¤¡£
¤¦¡¼¤ó¡¤r, s ¤ÏÎÙ¤ê¹ç¤¦¼«Á³¿ô¡¤¤È¤«¤¬¤¤¤¨¤ë¤Î¤Ç¤·¤ç¤¦¤«¡©
¤½¤¦¤·¤¿¤³¤È¤¬¤¤¤¨¤ì¤ÐÀµ¤·¤¤¤Ç¤¹¤¬¡¤¾¯¤Ê¤¯¤È¤â´Êñ¤Ë¤Ï¡¤¤¤¤¨¤½¤¦¤Ë¤Ê¤¤µ¤¤¬¤·¤Þ¤¹¡£
¤¤¤¨¤Ê¤¤¤È¤¹¤ë¤È¡¤r = 14, s = 20 ¤Ê¤É¤Î²ò¤¬¤¢¤ê¤Þ¤¹¡£(¼Â¤Ï̵¿ô¤Ë¤¢¤ê¤Þ¤¹¡£)
2 * 14 * (14 + 1) = 420 = 20 * (20 + 1)
¤â¤Á¤í¤ó¡¤5^k = 2 * 14 + 1 = 29 ¤òËþ¤¿¤¹ k ¤Ï¸ºß¤·¤Ê¤¤¤Î¤Ç¡¤¤³¤ì¤Ï¸µ¤Î¼°¤Î²ò¤Ë¤Ï¤Ê¤Ã¤Æ¤¤¤Þ¤»¤ó¡£
¤¤¤º¤ì¤Ë¤»¤è¡¤¾ÚÌÀ¤È¤·¤Æ¤ÏÉÔ½½Ê¬¤Êµ¤¤¬¤¹¤ë¤Î¤Ç¡¤ºÆ¹Í¤Ê¤µ¤Ã¤¿Êý¤¬¤¤¤¤¤è¤¦¤Ë»×¤¤¤Þ¤¹¡£

»ä¤ÎÊý¤â¹Ô¤­µÍ¤Ã¤Æ¤·¤Þ¤Ã¤¿¤Î¤Ç¡¤¼è¤ê´º¤¨¤º¡¤¥×¥í¥°¥é¥à¤òÁȤó¤ÇÄ´¤Ù¤Æ¤ß¤Þ¤·¤¿¡£
¤½¤Î´¶¤¸¤Ç¤Ï¡¤¾¯¤Ê¤¯¤È¤â n = 0 ¤Ç¤Ï¡¤Â¾¤Ë²ò¤Ï¤Ê¤µ¤½¤¦¡¤¤¢¤Ã¤¿¤È¤·¤Æ¤â¤«¤Ê¤êÂ礭¤Ê a ¤Ë¤Ê¤ê¤½¤¦¡¤¤Ç¤¹¡£
n >= 1 ¤Î¾ì¹ç¤â¡¤º£¤Î¤È¤³¤í¡¤º£¤Þ¤Ç°Ê³°¤Î²ò¤Ï¸«¤Ä¤«¤Ã¤Æ¤¤¤Þ¤»¤ó¡£

¾¯¤Ê¤¯¤È¤â¡¤n = 0 ¤Î¾ì¹ç¤Ï¡¤²¿¤«¾ÚÌÀ¤Ç¤­¤Ê¤¤¤Î¤«¤Ê¤¡¡¥¡¥¡¥
¥Í¥³¤Î½»¤à²È¡¡¡¡ 5·î5Æü¡Ê¿å¡Ë 13:25:05¡¡¡¡ MAIL:uchi@sco.bekkoame.ne.jp ¡¡¡¡36154
hide
ÌÀ¤é¤«¤Ë¥ß¥¹¤Ã¤Æ¤¤¤¿¤Î¤Ç¤³¤Ã¤½¤ê¾Ã¤·¤Æ¤ª¤³¤¦¤È»×¤Ã¤¿¤Î¤Ë¡¢¤â¤¦¸«¤é¤ì¤Æ¤¿¡Ê¾Ð

ÃѤº¤«¤·¤¤¡Ä
¡¡¡¡ 5·î5Æü¡Ê¿å¡Ë 13:29:40¡¡¡¡ ¡¡¡¡36155