不等式的证明是中学数学的一个重点,也是一个难点。证明不等式的方法很多,其中构造函数来证明不等式是一种非常重要的方法,通过不等式两边的代数式的特点与函数的联系,构造适当的函数,再利用函数的性质达到证明不等式的目的。构造相应的函数不是一目了然的,是一个难点,本文结合实例谈谈函数的几种构造策略。 Inequalities prove a high school mathematics is also a difficult point. There are many ways to prove the inequality. The constructor to prove the inequality is a very important method. Through the connection between the algebraic features of both sides of the inequality and the function, we construct the appropriate function, and then use the properties of the function to prove the inequality. Construction of the corresponding function is not clear at a glance, is a difficult point, this article combined with examples to talk about the function of several construction strategies.