不等式a+b≥2ab(a、b∈R+)(当且仅当a=b时等号成立)a+b2≥ab(a、b∈R+)(当且仅当a=b是等号成立),其中a+b2、ab分别是a与b的算术平均数、几何平均数,故简称其为“均值”不等式或“均值”定理.另外均值不等式可推广为三个(或多个)变元的形式,即:a+b+c≥33abc(a、b、c∈R+)(当且仅 Inequality a+b≥2ab(a, b∈R+) (If and only if a=b the equal sign holds) a+b2≥ab(a, b∈R+) (if and only if a=b is the equal sign ), where a + b2, ab are the arithmetic mean and geometric mean of a and b respectively, so they are referred to as the “mean” inequality or the “mean” theorem. In addition, the mean inequality can be generalized to three (or more) changes. The form of the element, namely: a+b+c≥33abc (a, b, c∈R+) (if and only