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由勾股定理的关系式:a2+b2=c2,可得到两个重要变式:a2+b2=(a+b)2-2ab=c2(1)a2+b2=(a-b)2+2ab=c2(2)这两个变式在解题中有着极其广泛的应用,今分类举例说明如下:
By the Pythagorean theorem of the relation: a2+b2=c2, two important variants can be obtained: a2+b2=(a+b)2-2ab=c2(1)a2+b2=(ab)2+2ab= The two variants of c2(2) have extremely wide application in problem solving. This classification is illustrated as follows: