高中数学新教材在简易逻辑中引入了两个量词,分别是特称量词和存在量词,与之相关的“任意性”与“存在性”问题开始浮出水面.作为新增内容,在关于绝对值不等式和导数内容中的求参量取值范围问题中屡见不鲜,逐渐成为高考备考的热点问题.而对于此类问题,如果不能够清晰的认识到任意与存在的区别,就必然会造成解题出错.本文就这部分内容进行总结探究,针对题目的变化进行合理分析,使得解题思路清晰、明快.一、任意性问题例1若不等式|x+1|+|x-m|<6的解 The new high school mathematics textbook introduces two quantifiers in the simple logic, which are the special quantifier and existential quantifier, and the problems of “Arbitrariness ” and “Existence ” related to it begin to emerge. Content in the absolute value inequality and derivative content of the parameter range of values ​​is not uncommon and gradually become a hot issue for the college entrance examination pro forma .For such problems, if you can not clearly recognize the difference between any and the existence, it is inevitable Will lead to a problem-solving error.This paper summarizes the contents of this part to explore a reasonable analysis of changes in the subject, making the problem-solving ideas clear and bright.An arbitrary problem Example 1 If the inequality | x + 1 | + | xm | < 6 solution