利用代数方法证明不等式是证明不等式最基本的方法,也是最常用的方法,大家比较熟悉,但对于某些不等式,巧妙构造几何图形(体)证明则显得直观、明了、简捷,往往能起到事半功倍的效果,举例说明.例1已知a、b、c都是正数,求证: Algebraic methods to prove that inequality is the most basic method to prove inequalities, but also the most commonly used method, we are more familiar with, but for some inequalities, cleverly constructed geometry (body) proved to be intuitive, clear, simple and can often play a multiplier Of the effect, for example.Example 1 known a, b, c are positive, verify: