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所谓勾股定理,就是在直角三角形中,两直角边的平方和等于斜边的平方.如果两直角边分别为a、b,斜边为c,则有a2+b2=c2.勾股定理是一个非常重要的几何定理,长期以来,人们对它进行了深入地研究,发现了许多种证明方法.下面我们借助“面积法”探讨“勾股图形”.一、勾股正方形如图1所示,在△ABC中,∠BCA=90°,则以勾、股、弦为边的三个正方形的面积满足a2+b2=c2的关系,我们称具有这种关系的三
The so-called Pythagorean theorem is that in a right-angled triangle, the square sum of the two right-angled edges is equal to the square of the hypotenuse. If the two right-angled edges are a, b and the hypotenuse is c, then a2 + b2 = c2. Pythagorean theorem A very important geometric theorem, for a long time, people conducted an in-depth study of it and found that many kinds of proof methods. We use the “area method” to explore “Pythagorean graphics.” First, the Pythagorean square As shown in Fig. 1, in ABC, when ∠BCA = 90 °, the area of three squares with hooks, strands and chords as sides satisfy the relation of a2 + b2 = c2, and we call the three