由于不等式、方程、函数是交织在一起的有机整体,同时在任意与存在之间构建不等式问题又与高等数学联系紧密,所以不等式问题的解决往往体现着多种数学思想方法的应用,是考查学生综合应用能力、思维灵活性和创新性的有效载体,因此这类问题一直是高考命题的热点和重点,而在任意与存在之间构建相等与不等关系,更让学生感到无所适从,本文从一道高考题出发,通过适当变式,探求关系式的建立。 Because inequalities, equations, and functions are intertwined organic wholes, while the problem of constructing inequalities between arbitrariness and existence is closely related to higher mathematics, the solution of inequality problems often embodies the application of a variety of mathematical ideas and methods. An effective carrier for comprehensive application ability, flexibility of thinking, and innovation, so this kind of problem has always been the hot spot and focus of the college entrance examination proposition, and building equal and inequitable relationships between arbitrary and existing makes students feel at a loss. Starting from the college entrance examination question, we will explore the establishment of a relational formula through appropriate variants.