Introduces the application and popularization of the mean value inequality is one of the important inequality. Through comprehensive summary, example enumeration method and deductive derivation of the mean value inequality are summarized and generalized. Demonstration and gives a geometric interpretation; combined with concrete examples, various forms of the mean value inequality were analyzed and summarized; at the same time, extended form of mean inequality is discussed. Such as the basic form of the mean value inequality three positive, mean inequality and flexible deformation, and with examples of them are discussed. The mean value inequality in solving the most value should pay attention to problems and should pay attention to the problem in the proof of inequality skills, problem, and flexible and variable type of inequality in Mathematical Olympiad applications. The mean value inequality not only in solving the most value problem, prove the inequality in a wide range of applications, but also shows the mean value inequality in flexible variant of proving inequality also has the very good application value.
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追答只有这样了
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