恒成立问题一直以来都是数学中的一个重点,难点。这类问题一般设计独特,涉及到函数、不等式、方程、导数、数列等知识,渗透着函数与方程、等价转换、分类讨论、换元等思想方法,成为历年高考的一个热点。考生对于这类问题感到难以寻求问意解决的切入点和突破口,因为这类问题没有一个固定的思想方法去处理,各类考试以及高考中都屡见不鲜。高一高二的同学在学习时大多数没有引起足够的重视,到了高三时往往是一点即破。自已感到很纳闷,为什么总是想不到?实际上只要在平时的学习中多理解一点,多悟一点,在解答问题时,若能够深入地挖掘这些恒成立的条件,将问题转化成恒成立问题,则可达到事半功倍的效果。如何更好地简单,准确,快速解决这类问题并更好地认识把握,笔者经过高中教学的实际经验,通过举例总结这类问题的一些常规处理方法,供读者们参考指正。 Constantly established problem has always been a key in mathematics, the difficulty. Such issues are generally unique design, involving functions, inequalities, equations, derivatives, series and other knowledge, infiltration of functions and equations, equivalence conversion, classification, discussion and exchange of ideas and other thinking methods, has become a hot spot over the years college entrance examination. Candidates find it hard to find such breakthroughs and breakthroughs because they do not have a fixed way of thinking and are often found in all kinds of exams and college entrance exams. Most of the students in high school and high school did not pay enough attention when they were studying. In fact, as long as they usually understand more in ordinary times and understand more when answering questions, if they can thoroughly tap these conditions for the permanent establishment and turn the issue into a matter of permanent establishment, You can achieve a multiplier effect. How to better solve these problems simply and accurately, and get a better understanding of it, the author through the practical experience of high school teaching, by way of example to summarize some of the conventional treatment of such issues for readers reference correction.