Research On The Most (extreme) Value Problems In High School Mathematics Competitions

The research of the maximum and minimum(extreme)value in high school mathematics,mainly based on the high school mathematics curriculum,however,the research based on the math competition research is relatively less.Since the 21st century,with the continuous development of the mathematics,the maximum and minimum(extreme)value has become one of the more common topic in all kinds of math contest.Therefore,it is necessary for us to research the maximum and minimum(extreme)value in mathematics competition.In this paper,we studied the maximum and minimum(extreme)value problems combining with the contest questions about it at home and abroad.On the basis of the existing relevant research results,this article mainly uses the methods of literature analysis.Firstly,defining the maximum and minimum(extreme)value problems in mathematics competition.At the same time,According to statisticsassembling and sorting the maximum and minimum(extreme)value problems at home and abroad,further illustrates the status and roles of the maximum and minimum(extreme)value problems in mathematics competition.Then,studying the maximum and minimum(extreme)value problems in mathematics competition from two aspects of the problem solving method and mathematical thinking method.By studying the solution method of the maximum and minimum(extreme)value problems in mathematics competition,the author expand and adapt some of the topics.However,,due to the high mathematics competition as well as their own level,the author can only expand less.Finally,trying to research the maximum and minimum(extreme)value problems in mathematics competition from the perspective of teaching,mainly discussed the maximum and minimum(extreme)value problems of teaching strategy.On the basis of this teaching strategy,designed a teaching case:minimum value problem on a class of absolute value function.