构造辅助函数证明微分中值定理及应用(共15页).doc

构造辅助函数证明微分中值定理及应用摘要：构造辅助函数是证明中值命题的一种重要途径。本文给出了几种辅助函数的构造方法：微分方程法，常数K值法，几何直观法，原函数法，行列式法；并且举出具体例子加以说明。关键字：辅助函数，微分方程， 微分中值定理 Constructing auxiliary function to prove differential median theorem and its copplicationsAbstract: Constructing auxiliary function is the important method to prove median theorem. This paper gives several ways of constructing auxiliary function:Differential equation, Constant K, Geometry law, P