高中数学新课程标准要求,将研究性学习渗透到课堂教学之中,这就要求教师在教学中按知识的发生、发展及形成过程,把教材内容设计成问题,进而在教学过程中创设一种类似科学研究的情境,让学生在教师指导下通过主动地探索、发现和亲身体验,并获得问题的最终解决.这正是数学实验设计 The requirements of the new mathematics curriculum for high schools require the penetration of research-based learning into classroom teaching. This requires that teachers use the occurrence, development and formation process of knowledge in teaching to design the content of teaching materials as problems, and then create a kind of teaching process. Similar scientific research situations allow students to actively explore, discover and experience themselves under the guidance of teachers, and obtain a final solution to the problem. This is exactly the design of mathematical experiments.