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散、类比、化归的思想,也渗透着猜想、试验、探索、归纳、概括、特殊化等重要的数学方法.在证明不等式时,若能对不等式结构形式加以细心观察,巧妙联想、类比,构造合适的辅助元素往往可以漂亮 Constructivism is a creative method of solving problems, which well embodies the idea of ​​divergence, analogy and regression in mathematics, and infiltrates the important mathematical methods of conjecture, experiment, exploration, induction, generalization and specialization. When proving inequality, if we can observe the structure of inequality carefully, the subtle association, analogy and construction of suitable auxiliary elements can often be beautiful