在高中数学必修五上介绍了基本不等式,虽然只用了一节内容,但是作为高中介绍的唯一一个不等式可想而知基本不等式在高中的地位还是很重要的.基本不等式为槡ab≤a+b2(a≥0,b≥0),其变形有a+b≥2槡ab(a≥0,b≥0)、ab≤a+b()22(a≥0,b≥0)或ab≤a2+b22.设a1、a2、…、an为正实数,则有a1a2…a槡n≤a1+a2+…+an n,这就是著名的平均值不等式.使用基本不等式三个条件为:一正、二定、三相等.如果 The basic inequality introduced in high school mathematics compulsory five is only one section, but the only inequality introduced as a high school can be imagined that the basic inequality in high school is still very important basic inequality 槡 ab ≤ a + b2 (a≥0, b≥0), the deformations are a + b≥2 槡ab (a≥0, b≥0), ab≤a + b () 22 ≤ a2 + b22. If a1, a2, ..., an are positive real numbers, then a1a2 ... a 槡 n≤a1 + a2 + ... + an n is the famous mean inequality. The three conditions for using basic inequalities are Positive, two definite, three equal