利用微分中值定理解题中辅助函数的构造  

Construction of Auxiliary Functions To Solving Problems by Using Differential Theorem of Mean

作　　者：李国成[1] 

机构地区：[1]杭州科技职业技术学院,浙江杭州310012

出　　处：《江西教育学院学报》2009年第6期5-7,共3页Journal of Jiangxi Institute of Education

摘　　要：文章介绍了常用的微分中值定理:罗尔定理、拉格朗日中值定理、柯西中值定理,论述了利用这三种定理在解题过程中辅助函数构造的常用方法:原函数法、常数K值法、利用函数增量构造辅助函数。This paper introduces the commonly used differential intermediate value theorem： Rolle theorem, Lagrange mean-value theorem, Cauchy Mean-Value Theorem, and discusses the use of this theorem in the problem solving process of three kinds of auxiliary functions constructed common methods： the original function method , constant-K-value method, using the function Incremental Construction of auxiliary functions.

关 键 词：微分中值定理 辅助函数 原函数法 常数K值法 

分 类 号：O172.1[理学—数学]