三个连续正整数,其中较小的两数的平方和等于第三个数的平方,则这三个数为多少?
人气：244 ℃ 时间：2019-11-04 20:29:07
解答
设三个数是a-1,a,a+1
则(a-1)²+a²=(a+1)²
a²-2a+1+a²=a²+2a+1
a²-4a=a(a-4)=0
正整数则a=4
所以是3、4、5
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