不等式的应用是高中数学的重难点,用均值不等式求最值时,要注意检验最值存在的充要条件,特别地,如果多次运用均值不等式求最值,则要考虑多次“≥”(或者“≤”)中取“=”成立的诸条件是否相同。本文就几类典型的错误,予以剖析,以飨读者。一、应用均值不等式的各部分不可能相等,或不满足 The application of inequality is a heavy and difficult point in high school mathematics. When using the mean inequality to find the most value, we should pay attention to the sufficient and necessary conditions for testing the existence of the most value. In particular, if we use the mean inequality multiple times to find the most value, we must consider multiple times. “(Or ” ≤ “) to take” = "to establish the conditions are the same. This article analyzes several typical mistakes to readers. First, the parts of the applied mean inequality can not be equal or not satisfied