等价转化是一种重要而有效的解题策略,也是把未能解决的问题转化成在已有知识范围内能够解决的问题的一种数学思想方法,通过不断地转化,可以使复杂、不规范、不熟悉的问题变为简单、规范、熟悉的问题.本文结合实例,略谈等价转化数学思想在解答双变量存在性或任意性问题时 Equivalent transformation is an important and effective strategy for solving problems, and it is also a mathematical thinking method that turns unsolved problems into problems that can be solved within existing knowledge. Through continuous transformation, it can make complex and The problems of specification and unfamiliarity become simple, normative, and familiar issues. This article combines examples to briefly discuss the idea of ​​equivalent transformation mathematics in solving the problem of the existence or arbitrariness of two variables.