引进辅助函数的一个方法介绍

A Introduction of a Method to Introduce an Aided Function

以应用罗尔(Rolle)定理解题时引进辅助函数的问题为例,介绍一个从微分方程的通解中获得构造辅助函数的方法,这有助于开阔学生的思路,发展学生的数学创造性思维能力。

This paper, with aided function introduced in solving problems by using Rolle Theorem as an example, presents a method of constructing an aided function from a general solution of a differential equation problem. It is helpful to open students' thought and to develop their ability of creative thinking in mathematics.