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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
畢氏定理的解釋
Jun 9th 2013, 03:10

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從1開始,規律是~
1+3+5+7+9+......
1+3=2平方
1+3+5=3平方
1+3+5+7=4平方
1+3+5+7+9=5平方
...
另一個角度看~
5平方-4平方=9(3平方)
4平方-3平方=7
3平方-2平方=5
...
所以(3.4.5)(5.12.13)(7.24.25)(9.40.41)
都符合畢氏定理

也可以用因式分解的公式來試算
a平方-b平方=(a+b)(a-b)

這幾個也是(c.b.a)
(6.8.10)(8.15.17)(10.24.26)(12.35.37)

 

參考資料 ,,,

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