The Teaching Research Of Cauchy Inequality In Mathematical Competitions

Cauchy inequality is an important content of high school algebra,which is the teaching content in senior high school and mathematical competitions.Cauchy inequality is tested almost every year in mathematical competitions in’China.The problems involved are not very complicated,but students need to have.strong mathematical thinking ability and comprehensive application ability.In recent years,there has been a trend of cooling down in mathematics competitions.How to exert its original function is a problem worth studying.This paper takes the teaching research of Cauchy inequality in mathematical competitions as an example to further explore its educational value.This paper studies the teaching of Cauchy inequality in mathematics competition,through the analysis of the specific teaching process,we obtain the corresponding teaching methods.This is a meaningful research question with wide application value.we mainly adopt the method of literature reference and case analysis to study the teaching of Cauchy inequality in mathematical competition.Through the research and analysis of the teaching process of Cauchy inequality introduction,problem analysis and proof,we can improve students’ ability to solve such problems,and then improve students’thinking ability and mathematical literacy.We can further extend this method to the general teaching process of mathematical contest,and improve the teaching effect of mathematical contest and the educational value of personnel training.