若正整数a、b、c满足a2 +b2 =c2 ,我们就称(a,b,c)为一组勾股数 .关于求勾股数组的方法甚多 ,但都比较繁琐 ,且不易掌握 .本文独辟蹊径 ,介绍一种简单而又新颖的方法———应用乘法公式求勾股数组 .1　应用平方差公式的转化变换求勾股数由公式 (a+b) (a -b) =a2 -b2 得 :a2 =b2 If the positive integers a, b, and c satisfy a2 + b2 = c2, we say that (a, b, c) is a set of number of crotches. There are many ways to obtain an array of ticks, but they are more complicated and difficult to grasp. This article is a unique way to introduce a simple and novel method --- use a multiplication formula to find the Pythagorean array. 1 use the squared difference formula transformation transformation to obtain the number of hooks by the formula (a + b) (a - b) = a2 -b2 gets: a2 = b2