High School Students Solution Difficult Point Of Inequality

Inequality is one of the theoretical basis of the high school mathematicalknowledge, it is intuitive portrayed real-life ranging, reflecting the size of the relationsof things in the quantity, the number of studies on the relationship between means andtools, but also for further study of mathematical knowledgenecessary foundation.High school stage to learn the inequality of knowledge, the upgrading of theinequality of knowledge of the junior high school, and later to accept the inequality ofknowledge in higher mathematics to teach the necessary preparations. Therefore, theinequality of knowledge continue to learn in high school is very objectively necessary,and investigated as a college entrance examination is fully in line with practicalrequirements.Inequality is very close contact with other knowledge, the "instrumental"function. Such as collection and discussion of the equation, monotonicity, the domainof the function definition, the triangular series, three-dimensional geometry, analyticgeometry, maximum, minimum, and so many problems, and ultimately can beattributed to the inequality solving or proof. In addition, with the deepening of theCollege Entrance Examination study, we investigated in recent years, the CollegeEntrance Examination, found that "inequality" has gradually become a new hotcontent. And as early as1990, the State Board of Education exam center of any ofsub-the DPRK Mr. would have said:"In view of inequality widely used in real life, aswell as in middle school mathematics important position and in the highermathematics an important role in the future college entrance mathematics will focuson examine the knowledge of the inequality."This shows that inequality learn in highschool mathematics learning the importance and necessity.High school math, the study of inequality of knowledge Proof of Inequality,Inequality, Inequality comprehensive application of the three categories dominated. Inthe reality of learning and teaching process, we found that many students in theinequality of learning difficulties. Mainly is to prove the inequality and inequality,especially the difficulties which exist. The reason is that inequality problems fixedidea at all different problems require different mathematical ideas, even if the sameinequality title also contains several kinds of mathematical thinking, the diversity oftheir problem solving methods and skills of high school students haspowerfulmathematical logical thinking ability and problem solving flexibility, as well asskilled knowledge transfer capabilities. This paper focuses on high schoolmathematics "inequality of learning difficulties as the main task of survey and testingof high school students to the common inequality: general inequalities, absolute valueinequality, parameter inequality, sequence inequality, triangle inequality, etc.comparative analysis. Summarizes the learning difficulties of high school inequality,as well as to analyze the impact of pupils with learning difficulties factors.