均值不等式是求函数最值的一个重要工具,同时也是高考常考的一个重要知识点。下面谈谈运用均值不等式求解一些函数的最值问题的方法和技巧。一、几个重要的均值不等式①a~2+b~2≥2abab≤~(a~2+b~2)/2(a,b∈R)当且仅当a=b时,“=”号成立; The mean inequality is an important tool to find the most value of the function, and it is also an important knowledge point that the college entrance examination often tests. Now talk about methods and techniques for solving the most value problems of some functions using mean inequality. First, several important mean inequalities ①a ~ 2 + b ~ 2≥2abab≤ ~ (a ~ 2 + b ~ 2) / 2 (a, b∈R) If and only if a = b, = "Was established;