不等式证明是中学数学的难点之一,不仅要熟悉各类著名不等式,如均值不等式、柯西不等式、琴生不等式、权方和不等式等,而且要针对具体情况灵活运用这些著名不等式.对于分母中含有根号的分式不等式,难度较大.本文针对这种不等式,利用赫尔德不等式给出一般的证明方法,并且根据不等号的方向分为两类,第一类相对简单,通过简单的模仿练习就 Inequalities prove to be one of the difficulties in high school mathematics. Not only must I be familiar with various well-known inequalities, such as mean inequality, Cauchy inequality, piano inequality, weights and inequalities, etc., but also flexibly utilize these well-known inequalities for specific situations. In this paper, a general proof method is given by using the Herder inequality, and according to the direction of the inequality, it is divided into two categories. The first category is relatively simple and can be easily simulated by simple imitation Practice it