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勾股定理反映了直角三角形三边之间的关系,由于勾股定理的特殊性,它往往与正方形的面积有着密切的关系.如勾股定理的证明,许多方法都采用了正方形的面积方法来解决.下面举例例说明巧用勾股定理妙求正方形的面积.
The Pythagorean theorem reflects the relationship between the three sides of a right-angled triangle. Due to the peculiarities of the Pythagorean theorem, it is often closely related to the area of the square. As proved by the Pythagorean theorem, many methods use the square area method. Solve. The following example illustrates the clever use of the Pythagorean theorem to find the area of the square.