统一框架下的柱面和锥面教学

On Teaching the Analytic Geometry of Cylinder and Cone in the Unified Frame

在直纹曲面的框架下统一了柱面、锥面方程的求法,统一了柱面、锥面判别定理的证明方法,统一了二次柱面、锥面的判别形式,从而把柱面和锥面放在统一的框架下进行教学。

In the frame of ruled curve surface,we unified the method of obtaining the equations of cylinder and cone,unified the proof method of the discrimination theorem of cylinder and cone,and unified the discrimination forms of the quadratic cylinder and the quadratic cone.Thus the analytic geometry of cylinder and cone can be taught in a unified framework.