微分中值定理在中学中的应用

AbstractDifferential mean value theorem is a general term of a series of mean value theorems.Itis a powerful tool for studying functions and can help us to analyze and study the propertiesof functions and their derivative functions.This paper briefly introduces the contents anddevelopment history of three differential mean value theorems,and analyzes theirinterrelations.Through collecting and answering the questions in the middle schoolmathematics papers in recent years,and connecting the teaching content of middle schoolmathematics.The application of some differential mean value theorems in middle schoolmathematics is given,and the application skills in the solution are analyzed and studied.Bymastering the specific knowledge,skills and methods,we can cultivate their thinking abilityand innovative consciousness,and find the connection point between the content of middleschool textbooks and high mathematics.Better analysis of the profound problemsencountered,in solving the problem to provide a broader thinking.Keywords:differential mean value theorem;middle school mathematics;function;application;