对探索性问题的研究一直是数学中的一个热点,它对于知识的交融及方法的灵活运用都有着较高要求,而高考命题的一个最大的特点就是着重于在知识网络的交汇处命题,从而体现高考命题的综合性、灵活性。所以对学生来讲它既是一个重点.也是一个难点.对于这方面的教学,笔者认为着眼点不能仅仅局限于多讲或多练几个题目、总结几种方法,而应充分调动学生求知与探索的欲望,激发他们的 Research on exploratory problems has always been a hot topic in mathematics. It has high requirements for the integration of knowledge and the flexible use of methods. One of the biggest features of the college entrance examination proposition is to focus on the proposition at the intersection of knowledge networks. Embodies the comprehensiveness and flexibility of the college entrance examination proposition. So for the students, it is not only a key point but also a difficult point. For the teaching in this area, the author thinks that the focus can not be limited to more than one or more exercises and several methods, but should fully mobilize students’ knowledge and exploration. The desire to inspire them