射影观点下的圆锥曲线

The Conical Section Under the View of Projection

本文从射影观点出发讨论圆锥曲线的线束分解和此射影线束构成的轨迹,并提出求圆锥曲线与直线交点的一种方法。此内容可以作为射影几何教学中理论联系实际的典型例题。

This essay discusses the pencils of lines resolution and the trajectory of what the projective pencils of lines composes, and tries to find a method for the point intersection between conic section and straight line. This can be considered as a typical example of integrating theory with practice in the projection geometry teaching.