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把$x_1x_2+x_2x_3+\cdot+x_{n-1}x_n$化为标准型

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其妙 Posted at 2014-6-25 15:54:45 |Read mode
作变换把$x_1x_2+x_2x_3+\cdot+x_{n-1}x_n$化为标准型
(即化为若干平方之和或者之差,例如$y_1^2-y_2^2+y_3^2-y_4^2+\cdots+$之类的)
妙不可言,不明其妙,不着一字,各释其妙!

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kuing Posted at 2014-6-25 16:42:25
$4xy=(x+y)^2-(x-y)^2$ 不就行了

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 Author| 其妙 Posted at 2014-6-25 19:40:54
回复 2# kuing

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