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初二《几何》教材中规定:能够成为直角三角形三条边长的三个正整数,称为勾股数(或勾股弦数).换句话说,若正整数a、b、c具有关系a2+b2=c2,我们就称(a,b,c)为一组勾股数.在勾股数组(a,b,c)的三个数中,已知其中二个求剩余的一个,利用勾股定理可很快求出(知二求一);若只知三数中的一个,求出另两个则较为困难(知一求二).知一求二的方法很多,本文利用乘法公式介绍一种简单而又易于操作的方法,供学习与参考.
The “Geometry” textbook of the second two years stipulates that three positive integers that can be the lengths of the three sides of a right-angled triangle are called the number of hooks (or the number of plied strings). In other words, if the positive integers a, b, and c have relationship a2 +b2=c2, we call (a,b,c) a set of numbers of clefts. Of the three numbers in the Pythagoma array (a,b,c), two of them are known to be the remaining ones. The Pythagorean theorem can be quickly found (know one of the two); if only one of the three numbers is known, it is more difficult to find the other two (know one and find two). There are many ways to know one and count two, and this article uses multiplication. The formula introduces a simple and easy to use method for learning and reference.