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直角三角形的全等比一般三角形的全等多一种“HL”的判定方法.在学习过程中,学生很难理解为什么直角三角形判定全等的时候只要一条斜边和一条直角边对应相等就行了呢?下面给出几种合理的解释.证明一如图1,已知Rt△ACD与Rt△ABD的一组直角边和一组斜边对应相等,即AB=AC,AD=AD.将这两个三角形两直角边AD重合拼接成一个等腰△ABC,由等腰三角形性质可知当
The equivalence of right-angled triangles is more than that of general triangles. In the process of learning, it is difficult for students to understand why right-angled triangles are equal when judging that one hypotenuse and one right-angled side are equal As shown in Figure 1, it is known that a set of right-angled edges of RtΔACD and RtΔABD and a set of hypotenuses correspond equally, that is, AB = AC, AD = AD. The two triangles at both sides of the right angle A coincidental mosaic into an isosceles △ ABC, from the isotropic triangle properties that