用指数型辅助函数证明中值等式的技巧

Application of Index Auxiliary Function in Demonstration of Median Equality

通过构造适当的指数型辅助函数证明中值等式,是高等数学教学中对学生进行应用数学思想方法解决问题技巧训练的一个不可缺失的环节,文中结合具体的实例给出几种适于构造指数型辅助函数的中值问题的证法。

Constructing the proper index auxiliary function to demonstrate the median equality is an in- dispensable link in the training of solving problems with mathematics thinking methods in higher mathe- matics teaching. Combining with some examples, the paper proposes several median demonstrating meth- ods suitable for constructing index auxiliary function.