“任意、存在型”问题是与全称命题、特称命题有关的一类特殊命题,此类问题因其抽象而使同学们常感困惑,面对试题束手无策.基于此,本文给出求解此类问题的通性通法,有利于迅速转化问题,提高解题技能.1任意x_1∈D_1,存在x_2∈D_2,使得f(x_1)=g(x_2)处理此类问题,需要等价转化为函数f(x)的值域包含于函数g(x)的值域,巧妙求解. The problem of “arbitrary and existential” is a special class of propositions related to the full name proposition and the special proposition. Because of its abstraction, this type of problem has caused the students to be perplexed and puzzled. In the face of this, the problem is solved. The general method of this type of problem is conducive to the rapid conversion of problems, and the problem-solving skills are enhanced.1 Any x_1∈D_1, x2∈D_2 exists, making f(x_1)=g(x_2) to deal with this kind of problem and it needs equivalent transformation. The range of the function f(x) is contained in the value range of the function g(x), and it is solved cleverly.