The Application And Investigation Of The Relevant Knowledge Of The Differential Mean Value Theorem In High School Mathematics

In recent years,the mathematical proposition of college entrance examination gradually tends to test the ability of learning mathematics of senior high school students.With the high school mathematics knowledge as the carrier and the advanced mathematics knowledge as the background,the test questions are more and more favored by the mathematicians in the college entrance examination.Among them,the relevant knowledge of differential mean value theorem as the background are the most common.Differential mean value theorem has certain theoretical value for high school mathematics teachers to solve derivative problems and interpret knowledge principles.How to use the relevant knowledge of differential mean value theorem to guide high school mathematics teaching has been widely concerned by mathematics educators.This paper is divided into four parts.The first chapter is introduction,which mainly introduces the background,purpose,significance and status of this study.The second chapter is the theoretical basis of the study.It mainly introduces differential mean value theorem and its applications,and the interrelationship between the theorems,including the relevant important concepts,theorems,formulas and conclusions.The third chapter is the main part of this paper,mainly taking the mathematics test questions of college entrance examination and the same type of questions as the breakthrough point,sums up the knowledge points related to differential mean value theorem in the specific topics,and classifies and analyses the selected typical questions according to the knowledge points,reflecting that the relevant knowledge of differential mean value theorem has a guiding role in solving high school mathematics problems.The fourth chapter is the part of practical investigation.Through teachers' questionnaire survey and interview and question-and-answer,this paper explores the current situation of differential mean value theorem related knowledge in high school mathematics teaching,and carries out statistical analysis of the questionnaire.Based on the survey results,four suggestions are put forward from the perspective of teachers,students and normal students,in order to provide reference for high school mathematics teachers to make better use of higher mathematics knowledge to carry out teaching.