任意与存在在逻辑上是互为否定的两个量词。近几年全国各地的高考题以它们立意命题,已成为考查高中数学知识的热点。尤其在函数与导数及不等式中频频出现,由于这类问题灵活多变,思辨性强,大多数学生望而生畏、束手无策。本文通过对几道具有代表性、示范性的高考题进行改编并深入探究,通过一题多解、一题多变,总结出解决这类问题的思路与方法。 Arbitrary and Existence There are two quantifiers that logically negate each other. In recent years, college entrance examination questions all over the country have been proposing their conception, which has become a hot spot for examining high school mathematics knowledge. Especially in the function and derivative and inequality appear frequently, because of such issues flexible, strong speculation, most students daunting, helpless. In this paper, we will adapt and explore several representative and exemplary college entrance examination questions, and through a multi-solution of questions and a changeable questions, summed up the ideas and methods to solve such problems.