利用摸球模型巧解初等数学题

A CLEVER SOLUTION TO THE ELEMENTARG MATHEMATICAL PROBLEMS BY USING TOUCHING-BALL MODEL

摸球问题是古典概率中一类重要而常见的问题,本文从解排列组合应用题,证代数恒等式.求和、证不等式四个方面介绍如何构造摸球模型,利用概率方法巧解初等数学题.

Touching-ball problem is one of the important and frequently seen pro- blems in class in classical probability.The essay tries to introduce how to form and select touching-ball model and resolve cleverly the elementary mathematical problems with probability method from the four aspects in s- olving permutations applied probelems;proving algebraic identiy;summati- on;and proving inequality.