比较大小问题是高中数学中常见的题型,也是高考中常考常新的一类问题.这类问题通常以不等式的基本性质为主要依据,以基本不等式、函数的图像和性质为主要工具,通常采用比较法、单调性法、中间值法等来解答,综合性较强,往往以某种函数为背景,涉及不等式、函数等多方面的数学知识及数学思想方法,具有涉及面广、立意新、角度新、解法灵活多样等特点,能够从多方面考查学生分析问题与解决问题的能力. The size of the problem is a common problem in high school mathematics, but also a common new problem in the college entrance examination often such problems are mainly based on the basic nature of inequality, the basic inequalities, the function of the image and nature as the main tool, usually It adopts the comparative method, the monotonous method and the intermediate value method to solve the problem. It has a strong comprehensiveness and often involves some kind of function as background. It involves mathematical knowledge and mathematical thinking and other methods in many aspects such as inequality and function. , New perspectives, flexible solutions and other characteristics, from many aspects to examine students’ ability to analyze and solve problems.