A Study On Inequality Problem From The Perspective Of College Entrance Examination

Inequality relation is the most basic quantitative relation in mathematics.From the history of different equations,it can be found that inequality is full of charming charm as a tool to study mathematical problems.Inequality is an important part of high school mathematics knowledge structure,and it is also an important examination point in college entrance examination.This paper takes the inequality problem in high school mathematics as the research object,and discusses the solving method of the inequality problem.The content of examination of mathematics in college entrance examination reflects the direction of education reform and the requirement of talent cultivation,which has a certain guiding effect on education and teaching.This paper takes the mathematics curriculum standard(experiment),textbooks,the outline of the national college entrance examination mathematics exam in 2017-2019 and the examination questions of the national college entrance examination as the research objects to carry out a specific research.It mainly discusses two issues: Firstly,the embodiment of the instrumental value of inequality in high school mathematics;Secondly,the thesis characteristics and solving methods of inequality questions in recent three years are classified and summarized.According to the research results and the teaching practice,this paper puts forward some concrete teaching suggestions.This paper is divided into six parts: The first part introduces the background,purpose and significance of this research,analyzes the inequality and the current research situation of solving inequality problems,and explains the research method of this research.The second part introduces the theoretical basis of this study,respectively: knowledge classification theory,SOLO classification theory,constructivist theory and mathematics education measurement theory.In the third part,the basic content of inequality knowledge is introduced,and the content of inequality is classified and analyzed.The fourth part analyzes and discusses the instrumental characteristics of inequality from two aspects of core literacy and inequality textbook.In the fifth part,the thesis features and problem solving features of the inequality in the college entrance examination are studied.Firstly,the test site of the inequality knowledge,the form and rules of the questions,the embodiment of the core quality and the comprehensive difficulty are statistically analyzed,and then the solutions of the inequality questions in the college entrance examination are classified.In the sixth part,the conclusion of this study is summarized,and combined with the conclusion of the study,some suggestions are put forward for the teaching of solving inequality problems: Attach importance to teaching materials and consolidate the foundation;Pay attention to the knowledge background,enhance the knowledge application consciousness;Attach importance to the ability of solving problems and develop the core quality of mathematics;Pay attention to the thought of mathematics,enhance the ability of solving mathematical problems;Pay attention to the systematicness of knowledge,exert the application of knowledge.