在不等式的证明中,有些不等式,如果从正面直接求证有时会很麻烦,甚至一筹莫展,但是如果转换思维角度,从不等式的结构和特点入手,巧妙构造与之相关的数学模型,将问题转化,常可得到简捷、清晰的解法,让人有耳目一新的感觉.另外,构造法是一种富有创造性的解题方法,它很好地体现了数学中发现、类比、化归的思想,也渗透着猜想、试验、探索 In the proof of inequality, some inequalities can sometimes be troublesome or even helpless if they are directly verified from the front. However, if we change the thinking angle and start with the structure and characteristics of inequalities, we construct the mathematical model related to it inevitably and transform the problems In addition, the construction method is a creative method of solving problems, which is a good reflection of mathematics found, analogy, return to the idea, but also permeated with the conjecture Test, explore