均值不等式即槡ab≤a+b2(a>0,b>0,a,b∈R)是必修五第三章内容,是学生必须掌握的一个重点知识,应用广泛,如果把课本的定理和练习的几个式了组合在一起就成为了2ab a+b≤槡ab≤a+b2≤a2+b2槡2≤a2+b2a+b(a>0,b>0,a,b∈R),但最后一个不等式即a2+b2槡2≤a2+b2a+b(a>0,b>0,a,b The mean inequality 槡 ab≤a + b2 (a> 0, b> 0, a, b∈R) is a compulsory fifth chapter content, is a key knowledge students must master, widely used, if the textbook theorem and The combination of several exercises becomes 2ab a + b ≤ 槡 ab ≤ a + b2 ≤ a2 + b2 槡 2 ≤ a2 + b2a + b (a> 0, b> 0, a, b∈R) , But the last inequality a2 + b2 槡 2 ≤ a2 + b2a + b (a> 0, b> 0, a, b