Teaching Exploration And Application Of Mean Value Inequality

Inequality the main inequality of the number of studies is a very important part of mathematical knowledge,but also an important tool to learn mathematics and other disciplines and master modem science and technology.The mean inequality is an important part of the content of inequality,The teaching content of the teaching material also plays a very important role in the mathematics teaching of middle school.It has a large application range in mathematics,and from elementary mathematics to advanced mathematics,if we can use it and apply it flexibly Different disciplines,we can put some of the more difficult problems become simple,and in the college entrance examination and many of the subject,often also use the mean inequality to solve,not only as a student,the need to understand the mean The essence of inequality and some important learning techniques and methods.As teachers,we should fully understand the essence of the mean inequality and the various teaching methods in mathematics teaching.Therefore,we study the teaching of the mean inequality in middle school mathematics The application is very necessary and also very valuable.This paper mainly through the questionnaire survey and field interviews and other methods to further understand the high school students for the mean inequality of the understanding,proof of the method,the use of skills and do the mean inequality problems often make mistakes.And the high school of several very good math teacher interviews,combined with their own math knowledge and master some typical cases,made the results of the analysis,on this basis,also designed some teaching cases and analysis of this,To truly into the mean inequality of teaching inquiry,through the analysis of teaching cases,more comprehensive penetration and focus on the study of mathematical thinking,cultivate students’ observation,strengthen the curiosity,so that they dare to question,but also the use of one of the classroom More questions,so that their mathematical thinking ability and creativity to play a greater out.