The Research On Examination Questions Of Conic Curve In High School Mathematics Joint Competition From 2014-2019

In recent years,the high school mathematics joint competition has attracted more and more attention.As the classic type of the combination of numbers and shapes,the Conic curve contains rich mathematical ideas,which will inevitably become a key examination point in high school mathematics joint competition.On the basis of previous research,the examination questions of joint competition from 2014 to 2019(which is including preliminaries in each provinces and cities and National Finals)have been analyzed by this paper.The content of this paper can be divided into three parts:In first section,the research background and issues have been introduced to elaborate the research purpose and significance.The Polya’s problem-solving theory has been introduced and its four steps have been discussed in detail by showing them in the form of tables.The overview of the mathematics competition has been summarized to introduce the development history of International Mathematics Olympic competition and Chinese mathematics competition.The second section is the core of this paper,which was starting to analyzed the Conic curve from three aspects.First of all,the horizontal and vertical statistical analysis was carried out on the examination questions of Conic curve in high school mathematics joint competition.The examination questions of Fujian province were selected as research example,the competition questions in the past six years have been analyzed from the six perspectives of score,proposition form,question setting method,knowledge point,thought method and difficulty level.Secondly,the research object is the method of classified problem solving,on the basis of Polya’s problem-solving theory,the problem-solving thinking process of Conic curve in high school mathematics joint competition was displayed.The collected questions were sorted out and they were divided into four typical problems: trajectory equation problem,fixed value and fixed point problem,maximum and range of values problems,existential problem to analyze.And each kind of question type gives the corresponding examination questions to carry on the detailed solution analysis;Lastly,the preparation of test questions has been analyzed to put forward three methods of preparing competition test questions and compile the corresponding examination questions to show the process of compilation.The summarization has made in the end to point out the shortcomings of the research and make prospect for further research.