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不等式作为工具性知识,渗透在数学的各个分支中,与数、式、方程、函数、导数等知识有密切的联系。在不等式中,均值不等式、柯西不等式、琴生不等式都是著名的不等式,占有重要的位置,有着广泛的应用,尤其是其等号成立的条件具有潜在的功能,对于一些代数式、函数的最大(小)值的求解有举足轻重的地位,起着四两拨千斤的作用。一、不等式的取等条件均值不等式是几个正数和与积转化的依据,不但可以直接解决和与积的不等问题,而且运用不等号成立的条件进行恰当配凑,可创造性地使用均值不等式,解决很多貌
Inequality, as instrumental knowledge, permeates all branches of mathematics and is closely related to knowledge such as numbers, equations, equations, derivatives and derivatives. In inequality, mean inequality, Cauchy inequality and piano inequality are notable inequalities, occupying important positions and having a wide range of applications. In particular, the conditions for equating their identities have potential functions. For some algebraic formulas, the maximum of the function (Small) value of the solution has a decisive position, plays a defensive role. First, the inequality and other conditions Mean inequality is the basis of several positive number and product of the conversion, not only can solve the unequal and product problems, and the use of inequality conditions for the appropriate allocation together, you can creatively use the mean inequality , To solve a lot of appearance