在近年的数学高考题及高考模拟题中经常出现恒成立问题。这样的题目一般综合性强,考查函数、数列、不等式及导数等多方面的知识,同时考查学生分析问题、解决问题、综合运用知识的能力,因此备受命题者青睐。本文试将此类题的求解策略作一总结。 In recent years, mathematics college entrance examination and college entrance examination simulation questions often appear in the establishment of the problem. This topic is generally comprehensive, test function, sequence, inequality and derivatives and other aspects of knowledge, while students examine the problem, problem solving, the ability to comprehensively use knowledge, so much favored by the proponents. This paper tries to solve the problem of such questions to make a summary.