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观察下列各式3的平方加4的平方等于5的平方8的平方加6的平方等于10的平方

2025-03-16 16:07:05

推荐回答（1个）

回答1：

(1*3)²+(2*2)²=(2²+1)²
(2*4)²+(2*3)²=(3²+1)²
(3*5)²+(2*4)²=(4²+1)²

....
[(n-1)(n+1)]²+(2n)²=(n²+1)²
即
(n²-1)²+(2n)²=(n²+1)²

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