作者harry901 (33798)
看板tutor
标题Re: [解题] 国一数学
时间Mon Nov 6 01:07:19 2006
※ 引述《thppht (.......)》之铭言：
: 2 2 2 2
: _______ + ______ + ______ +______ =??
: 1x3 3x5 5x7 7x9
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本
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本题
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本题要
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本题要用
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本题要用到
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1
本题要用到
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1
本题要用到 --
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1
本题要用到 ----
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1
本题要用到 ------
n
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1
本题要用到 ------
n(
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1
本题要用到 ------
n(n
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1
本题要用到 ------
n(n+
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1
本题要用到 ------
n(n+2
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1
本题要用到 ------ =
n(n+2)
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1 1
本题要用到 ------ = --- (
n(n+2) 2
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1 1 1
本题要用到 ------ = --- ( --- -
n(n+2) 2 n
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1 1 1 1
本题要用到 ------ = --- ( --- - --- )
n(n+2) 2 n n+2
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2
---
1
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1
--- ( --
1 1*
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1
--- ( ---
1 1*3
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1
--- ( --- + --
1 1*3 3*
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1
--- ( --- + ---
1 1*3 3*5
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1
--- ( --- + --- + --
1 1*3 3*5 5*
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1
--- ( --- + --- + ---
1 1*3 3*5 5*7
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1
--- ( --- + --- + --- + --
1 1*3 3*5 5*7 7*
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1
--- ( --- + --- + --- + --- )
1 1*3 3*5 5*7 7*9
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2
--- ( --- + --- + --- + --- ) = ---
1 1*3 3*5 5*7 7*9 1
^L0.5
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1
--- ( --- + --- + --- + --- ) = ---[---
1 1*3 3*5 5*7 7*9 1 2
^L0.5
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1
--- ( --- + --- + --- + --- ) = ---[---( ---
1 1*3 3*5 5*7 7*9 1 2 1
^L0.5
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - ---
1 1*3 3*5 5*7 7*9 1 2 1 3
^L0.5
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + ---
1 1*3 3*5 5*7 7*9 1 2 1 3 3
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- +
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ...
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... -
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
= ( 1
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
= ( 1 -
^L0.3
1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
1
= ( 1 - ---
9
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
1
= ( 1 - --- ) =
9
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1 1 1 1
本题要用到 ------ = --- ( --- - --- ) 公式
n(n+2) 2 n n+2
因此本题提出2之後可得
2 1 1 1 1 2 1 1 1 1 1 1
--- ( --- + --- + --- + --- ) = ---[---( --- - --- + --- - --- + ... - ---)]
1 1*3 3*5 5*7 7*9 1 2 1 3 3 5 9
1
= ( 1 - --- ) = 8/9
9
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