一种函数模型的构建方法

A Method for Constructing Function Model and Its Application

针对微分中值定理应用中构造辅助函数难的问题,应用微分方程的思想,提出了一种辅助函数模型的构建方法。首先把问题化归成微分方程,然后通过求解微分方程,构造相应的辅助函数。该方法不仅在理论分析上可行,而且在实际应用中很奏效。

In light of the fact that it is difficult to construct the auxiliary function in the application of differential mean value theorem,a method of constructing functional model by the thought of differential equation is presented in this paper.By this method,the problem is turned into the differential equation,and then the corresponding auxiliary function is built by solving the differential equation.This method is not only effective in theoretical analysis but also in practical application.