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arsene996655
Not too shy to talk



µù¥U¤é: 2005-10-13
µoªí¼Æ: 27


 ¤NÃøªºÃD¥Ø

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ºâ¥X1^2+2^2+3^2+5^2+8^2+13^2+21^2+34^2+55^2+89^2+144^2=??

 2005-10-23 15:22­Ó¤H¸ê®Æ¶Ç°e Email µ¹ arsene996655«ô³Xºô¯¸yim
arsene996655
Not too shy to talk



µù¥U¤é: 2005-10-13
µoªí¼Æ: 27


 Re: ¤NÃøªºÃD¥Ø

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¸É¥R»¡©ú:¤]¤£¯à­¼¶}¥ô¦ó¥¿¾ã¼Æªº¥­¤è

 2005-10-23 15:23­Ó¤H¸ê®Æ¶Ç°e Email µ¹ arsene996655«ô³Xºô¯¸yim
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 Re: ¤NÃøªºÃD¥Ø

£z¸Õ¸Õ¬Ý¦Û¤v±Æ¦C¨C­Ó³sÄò2¦¸¤èªº¼Æ¦r £z·|±o¨ì³W«ßªº §Ú°ê¤@®É¾Ç·|n x n=nªº¤G¦¸¤è®É´N¸Õ¹L¤F ·í®ÉÁÙ¥H¬°¬O¤°»ò­«¤jµo²{­ù~
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 2005-10-23 18:56
ej0cl6
Home away from home



µù¥U¤é: 2005-03-03
µoªí¼Æ: 281
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 Re: ¤NÃøªºÃD¥Ø

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¡@¤j®a¥i¥H°ÑÆ[¬Ý¬Ý©O

 2005-10-23 18:59­Ó¤H¸ê®Æ«ô³Xºô¯¸
ahaha333
Quite a regular



µù¥U¤é: 2003-05-18
µoªí¼Æ: 53


 Re: ¤NÃøªºÃD¥Ø

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 2005-10-23 19:20­Ó¤H¸ê®Æ
dhfurjk
Not too shy to talk



µù¥U¤é: 2005-09-03
µoªí¼Æ: 23


 Re: ¤NÃøªºÃD¥Ø

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 2005-10-24 21:39­Ó¤H¸ê®Æ¶Ç°e Email µ¹ dhfurjk«ô³Xºô¯¸
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 Re: ¤NÃøªºÃD¥Ø

¶O¦¡¼Æ¦C1,1,2,3,5,...=a1,a2,a3,a4,a5,....

(a1)^2+(a2)^2=1+1=2=1*2=(a2)*(a3)

(a1)^2+(a2)^2+(a3)^2=(a2)*(a3)+(a3)^2=(a3)*(a2+a3)=(a3)*(a4)
.....
§Q¥Î¼Æ¾ÇÂk¯Çªk«Ü®e©ö¥i¥HÃÒ©ú
(a1)^2+(a2)^2+....+(an)^2=(an)*[a(n+1)]

1^2+2^2+3^2+5^2+8^2+13^2+21^2+34^2+55^2+89^2+144^2
=144*(89+144)=144*233=33552

 2005-10-25 17:50
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 Re: ¤NÃøªºÃD¥Ø

¸Ñ±o¯uº}«G¡A¨ØªA

¤£ª¾¬O§_ÁÙ¦³¨ä¥Lªºº}«G¸Ñªk?
¤âÄoªº«Ü !

 2005-10-25 22:03
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 Re: ¤NÃøªºÃD¥Ø

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arsene996655 ¼g¹D:
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À³¸Ó·|¦³§ó¦h¸Ñªk§a¡H¡H

 2006-01-30 13:15
cuteconnie0703
Just popping in



µù¥U¤é: 2006-01-15
µoªí¼Æ: 7


 Re: ¦pªG¥i¥H­¼¶}¨ä¥L¼Æªº¥­¤è

¦pªG¥i¥H­¼¶}¨ä¥L¼Æªº¥­¤èªº¸Ü¡A¬O¤£¬O¥i¥H¥Î­¼¤è¤½¦¡¨Ó¸Ñ¸Ñ¬Ý¡H
(a+b)^2=a^2+b^2+2ab
a^2+b^2=(a+b)^2-2ab
¦U¶µªº¥­¤è=¦U¶µÁ`©Mªº§¹¥þ¥­¤è-2­¿ªº¦U¶µ¬Û­¼
1^2+2^2+3^2+5^2+8^2+13^2+21^2+34^2+55^2+89^2+144^2=(1+2+3+5+8+13+21+34+55+89+144)^2-2(1*2+1*3+1*5+1*8+.....+1*144+2*3+2*5+2*8+...........+89*144)=(1+2+3+5+8+13+21+34+55+89+144)^2-2[1*(375-1)+2*(375-1-2)+3*(375-1-2-3)+5*(375-1-2-3-5)................+89(375-231)]
¤£¹L¥úºâ¥X¨Ó´N²Ö¦º¤H¤F
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¯u¦³¨º­Ó®É¶¡ªº¸Ü¨ì¤£¦p¥h«ö­pºâ¾÷§â¦U¶µ¥­¤è­¼¶}¦A¥[°_¨Ó§a¡I
ÁÙ¬O¡u144*(89+144)¡vªº¨º­Óºâªk¤ñ¸ûº}«Gªº»¡
(¤£¹L­n¬O¨S¾Ç¹Lªº¸Ü¥i¯à«ÜÃø·Q¨ì§a)

 2006-01-30 14:33­Ó¤H¸ê®Æ
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