恒成立问题是高中数学的一类重要题型,很多函数问题都需转化为恒成立的问题才可解决。该类问题有较高的综合性和灵活性,往往通过一道综合试题即可全面考查学生灵活运用数学知识、数学思想方法的能力,考查学生数学思维的深刻性和敏捷性。 Constantly established problem is an important class of high school mathematics questions, many of the function problems need to be transformed into a constant problem can be solved. This kind of problem has a higher comprehensiveness and flexibility. Through a comprehensive examination, students can comprehensively examine the students ’abilities of using mathematical knowledge and mathematical thinking methods comprehensively to examine the profoundness and agility of students’ mathematical thinking.