The Research Of The Combination Of The Most Value Problem In Mathematical Competition

In the Mathematical Competition at home and abroad,the most value problem has always been one of the most common type of questions.With the vigorous development of various mathe-matical competitions,the content of mathematical competition is basically stable in the four aspects of algebra,geometry,combination and number theory.However,the most value problem is closely related to these four aspects,especially the combination of the most value problem,which has been on the high frequency for years.The combination of the most value problem is quite extensive,the knowledge involved is very comprehensive,and the solution is very flexible and changeable.This article through the analysis of the mathematical Competition problems of nearly a decade at home and abroad.sums up the competition knowledge of the most common problems,sorts out and sums up the common types of the combination of the most value problems in the mathematical competition.and illustrates them with relevant typical examples and promotion propositions.The innovation of this paper is the proposition given in chapter 4,which mainly involves the seven types of the most value problems:the matrix,square table staining or filling,plane point line set,subdivision,collection and operation.By deepening the deformation of the original proposition,16 new conclusions are obtained.Through the method of literature analysis.this paper studies the most common combinatorial problem types in mathematical competition and obtains six new types of propositions.Because the most value problem connects the various fields of competition mathematics,the study of the most value problem is of great significance to the research of mathematics competition,which is conducive to the further development of the mathematical competition.