拉格朗日定理证明与辅助函数的应用  

The Proving of Lagrange Theorem and the Application of Auxiliary Function

作　　者：林忠[1] 

机构地区：[1]西昌学院,四川西昌615000

出　　处：《天津职业院校联合学报》2006年第5期131-134,共4页Journal of Tianjin Vocational Institutes

摘　　要：微分中值定理的证明和应用,大量采用了辅助函数。通过分析各种教科书对拉格朗日定理证明中引用辅助函数的和典型题目的研究,试图找出构造辅助函数的内在规律。The proving and application of the differential mean value theorem adopt a number of auxiliary functions. By means of analyzing a variety of references to auxiliary functions when prove Lagrange theorem and researching on typical questions, this paper intends to find the internal rules of constructing auxiliary functions,

关 键 词：罗尔定理 拉格朗日定理 柯西定理 不等式证明 辅助函数 

分 类 号：O211.63[理学—概率论与数理统计]