Research On The Solution Of Algebra Problem In The Mathematics Competition

Olympic Mathematics is an independent subject of mathematics,it has both background of higher mathematics knowledge and characteristic of elementary mathematics thoughtway.It can train students' thinking ability,using some interesting math problems.The development of modern mathematics competition has been a rather long history from1894.It's educational value appear gradually,and is agreed by more and more people.China attach much significance to mathematics competition.China hold National High School Mathematics League and Chinese Mathematical Olympiad(CMO),also acquire great achievement in International Mathematical Olympiad(IMO).In order to guide the mathematics competition contestants to success,this research completes statistical analysis of Olympic math examination questions in the last ten years,and find out that the algebra problems take a big percentage.This paper that consults some mathematics competition experts' work,also contact the mathematics competition teaching experience of myself,research on proposition and solution of the algebra problems.It discusses the propositional trend of the Olympic algebra problems now and separately analyses the specific questions' solution of the key branches.(functional equation,number sequence,inequality)In the last part of the paper,I give my opinion and suggestion of mathematics competition teaching.