由于高考强化以能力立意为主,一些形式新颖、内容深刻的创新试题不断出现,这其中就有三次函数探索问题.关于三次函数,尽管多数可以用导数解决,但这并不一定是最好的方法.出于侧重考察某些知识与方法以及数学思想等方面的考虑,我们还应研究便于求解这些问题的常用思维策略.1“直 As the college entrance examination is strengthened mainly in terms of competence, some innovative test questions with new forms and profound contents continue to emerge. Among them, there are three function exploration problems. With respect to cubic functions, although most of them can be solved with derivatives, this is not necessarily the best. Methods. In order to focus on the consideration of certain knowledge and methods and mathematical thinking, we should also study common thinking strategies that are convenient for solving these problems.