关于二次曲线一般理论教学的思考

Some Thinking of Teaching on the General Theory of Quadratic Curve

二次曲线一般理论是解析几何的一个重要内容,在教学过程中,由于课时的原因,往往需要压缩该部分的教学内容。文章讨论了在教学过程中如何压缩二次曲线一般理论的教学内容。在课时不足的情况下,我们提出了删除二次曲线切线及主直径内容的构想,并且,为了保证内容的连贯性和系统性,给出了如何利用移轴、转轴和配方的方法对教材中的简化方程定理进行证明。

The general theory of quadratic curve is an important content of analytic geometry.In the teaching process,due to the lack of class hours,it is often necessary to compress the teaching content of this part.In this paper,we mainly introduce how to compress the content of courses in the teaching process of general theory of quadratic curve.In the case of insufficient class hours,we put forward the idea of deleting the tangent of quadratic curve and the content of main diameter.In order to ensure the continuity and systematicness of the content,we present how to prove the simplified equation theorem by means of moving axis and rotating axis and the completing square.