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,
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
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
Rolle theorem
Lagrange theorem
Cauchy theorem
inequality proving
auxiliary function
