这是一篇创新课堂教学案例,是《点到直线的距离》公式推导的课堂教学实录。老师通过创设问题情境,充分激发学生学习的热情,学生能够通过自主探究,创造性地给出8种推导方法,这节课虽然用去了一个多小时,但没有间断学生的积极思维,一气呵成。8种方法,从三个不同方面去思考、探究,一是运用解析几何方法;二是运向量方法;三是运用不等式方法。运用设而不求的解题策略,构思精妙,充分运用已学过的知识去解决问题。 This is an innovative classroom teaching case, which is a class teaching record derived from the “point-to-line distance” formula. Through creating problem situations and fully arousing students’ enthusiasm, the students can give creative explanations of 8 ways of deducing through self-exploration. This lesson takes more than an hour without breaking the positive thinking of the students. Eight kinds of methods, from three different aspects to think and explore, one is the use of analytic geometry; the second is the vector method; the third is the use of inequality methods. Use the problem-solving strategy set without seeking, sophisticated design, make full use of the knowledge has been learned to solve the problem.