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“任意”与“存在”这两个量词在近几年高考卷和模拟卷中经常出现,恒成立问题与存在性问题常常在函数题中作为压轴题,是高考的热点问题.它们与函数问题的融合,增加了函数问题的难度,使题目富有变化和新意,解决这类问题的关键是揭开量词背后的含义,还原函数问题的本来面目.本文通过典型题目分类解析.认识恒成立问题和存在性问题的本质.
The two quantifiers of “arbitrary” and “existing” often appear in college entrance examination papers and simulation papers in recent years. The problems and existing problems of permanent establishment are often taken as the finale questions in the function questions and are the hot topics of the college entrance examination. The fusion between them and the function problems increases the difficulty of the function problems so that the topics are full of changes and new ideas. The key to solve these problems is to uncover the meaning behind the measure words and to restore the original features of the problem of the function.This paper classifies and analyzes the typical problems Constantly established and existential nature of the problem.