著名且富有实用价值的勾股定理(直角三角形中,斜边的平方等于二直角边的平方和)在高中平几課本中,就三角形的三边間的度量关系已作了全面的討論。然而,勾股定理若以面积的概念来理解(用直角三角形的三边为边作三个正方形,則斜边上正方形的面积等于直角边上二正方形的面积之和),还可作进一步推广,从而发揮它更大的作用。 The well-known and practical value of the Pythagorean theorem (in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the right-angled sides) has been discussed extensively in the textbooks for the high school level, with respect to the relationship between the three sides of the triangle. However, if the Pythagorean theorem is understood by the concept of area (three sides of a right-angled triangle are the sides, then the area of ​​the square on the hypotenuse is equal to the sum of the areas of the two squares on the right-angled side), it can be further promoted. To play its greater role.