“异面直线所成角”是高中数学中的经典内容,熟悉教材的同行们都知道教材中对此内容的笔墨非常精炼.笔者在接到开设此内容公开课的任务时就开始思考:首先透过教材简短内容看到其背后隐含的深层意境,对教材进行深入的解读;其次通过解读教材思考如何让学生深刻理解“异面直线所成角”概念定义的来龙去脉及其合理性;再次思考如何让学生在求解 “The angle formed by different lines ” is the classic content of high school mathematics, colleagues familiar with the teaching materials are aware of the content of the textbook is very refined .In the course of receiving the open task of this content to start thinking : First of all, through the brief content of the textbook, we can see the deep meaning implied in the textbook and deeply interpret the textbook; Secondly, through the interpretation of the textbook material, how to make the students understand the ins and outs of the definition of the concept of " Rationality; think again about how to get students to solve