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众所周知 ,用均值不等式求最值 ,必须符合“一正、二定、三相等”这三个必要条件 ,因此 ,当其中的一些条件不满足时 ,应考虑通过恰当的恒等变形 ,使这些条件得以满足 ,以下分三个方面来说明 :1 化正如果含字母的项中有负值时 ,通过添负号、配常数等将它们化为正项 .例 1 当 x
As we all know, the use of the mean inequality to find the maximum value must meet the three necessary conditions of “one positive, two fixed, three phases, etc.” Therefore, when some of the conditions are not satisfied, these conditions must be considered through appropriate constant deformation. Satisfied, the following three aspects to illustrate: 1 Huazheng is positive if there is a negative value in the letter items, by adding a negative sign, matching constants, etc. to turn them into positive terms. Example 1 When x