在近年中考中,出现了一类探求点运动路径长的试题.与往常不同的是,这个点(文中称派生点)是通过别的点(文中称元点)运动而发生了位置改变.由于题中一般只告知元点的运动路径,而派生点的运动路径并不知晓,这给问题的求解带来了一定难度.笔者对这类问题作了初步探讨,得出这类问题求解需经过如下的三个步骤: In the middle school entrance examination in recent years, there appeared a series of questions to search for the long movement path of the point.Unlike usual, this point (referred to in the article as a derivative point) was changed through the movement of other points The problem usually only tells the motion path of the yuan point, but the movement path of the derivative point is not known, which brings a certain degree of difficulty to the problem solving.The author makes a preliminary discussion on such problems and concludes that such problems need to be solved The following three steps: