探究性学习对教师的教学观念提出了新的挑战,根据学生的认知结构及知识本身的系统性来设计研究性问题是一个数学教师深入钻研教材,建立自己教学特色的关键,本文以一个数学命题为背景的探究课的实践为例,谈谈如何以学生为主体,在教师的引导下,实现学生的自主性和目标性相结合的探究性活动. Exploratory learning poses new challenges to teachers’ teaching concepts. Designing research questions based on students’ cognitive structure and the systemic nature of knowledge is a key for math teachers to study materials and establish their own teaching characteristics. This paper uses a mathematics. Taking the proposition as an example of the practice of the inquiry class in the background, we talk about how to take the students as the main body, and under the guidance of the teacher, to realize the exploration activities combining the students’ autonomy and the goal.