微分中值点存在性命题证明技巧分析

Analysis Technique of the Existence of Mid-Value in the Differential

本文通过对微分中值定理的特征分析,总结了关于微分中值点存在性命题证明的常见题型以及相应的典型技巧,归纳了常见辅助函数的构造。最后,结合积分,给出了辅助函数构造的一般方法。

Through analyzing the characteristic of value in the differential theorem, this paper discussed the technique for proving some equation of mid-value of the differential, concluded construction of normal auxiliary function, and presented the usual method to construct the auxiliary function.