三角形中位线定理不仅大家耳熟能祥,并且对于它的证明也了如指掌.但是,你是否对证明做进一步的思考呢? 为了下文说明方便,我们先简单回顾一下三角形中位线定理的证明:如图1,过点C作CF∥AB,交DE的延长线于F,得平行四边形BCFD,再证△ADE≌△CFE,从而得结论.这个证明实际上是采用了“割补法”,把一个三角形 The triangle median line theorem is not only familiar to everyone, but it is also well known for its proof. However, do you think further about the proof? For the convenience of the following description, we first briefly review the proof of the triangle’s median line theorem: In Fig. 1, the point C is made to be CF∥AB, and the extension line of DE is given to F, the parallelogram BCFD is obtained, and then △ADE≌ΔCFE is reconfirmed. Thus, the conclusion is obtained. This proof actually uses the “shampling method”. a triangle