Analysis On The Classification Of Scientific Questions In The Inequality Of College Entrance Examination In Recent Ten Years

Inequality plays an important role in high school mathematics.Firstly,it is an important part of the mathematics basic theories.Secondly,it is an important mathematics model to measure the quantitative relationships.Thirdly,it is the basis for continuing to study the mathematics and different courses.Finally,it is the link between the knowledge of high school mathematics.In the past,the study of the college entrance examination inequality questions more focused on the specific year and the provinces of college entrance examination inequality questions in the test key points.Because the content is fragmented and incomplete,so this paper in 2007-2016 across the country college entrance examination inequality science math questions for the research object to classify,summarize and summarize.This paper mainly analyzes the knowledge points,the form of questions and the methods of problem solving of each type of test questions.And try to make some suggestions for the review of the contents of the college entrance examination inequality.This paper is divided into five parts:The first part elaborates the role,status and research status of inequality in high school mathematics,and puts forward the research questions,purpose,meaning,content and methods.The second part introduces the nine basic properties of inequality and five important inequalities: Basic inequality,Cauchy inequality,Absolute triangular inequality,Sorting inequality and Bernoulli inequality.The third part analyzes the content of high school inequality according to the standard of high school mathematics curriculum(experiment),and analyzes the proportion of test questions in each question and the proportion of the test questions in the total inequality test questions.The fourth part is based on the analysis of a large number of college entrance examination questions and test points,divided the college entrance examination inequality into four parts: the nature judgment and the application,solving inequality,proving inequality and applying inequality.Applying inequality include the linear programmingproblems,constant problems,the minimum or maximum problems and the range of values,then summarize the purpose of examinations and programming solution for each type of problems,which is also the core content of this paper.The fifth part propose some suggestions for reviewing the college entrance examination based on the forms of the inequality of the previous study and the methods of solving the problem of various types of problems,including the combination of the mathematics ideas and the grasp of the problem-solving method.