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

作　　者：李观荣 LI Guanrong(School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang,Guangdong 524048,China)

机构地区：[1]岭南师范学院数学与统计学院,广东湛江524048

出　　处：《西昌学院学报（自然科学版）》2021年第3期119-122,共4页Journal of Xichang University(Natural Science Edition)

基　　金：广东省高等教育教学改革项目(粤教高函〔2018〕1号)。

摘　　要：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.

关 键 词：解析几何 柱面 锥面 教学处理 

分 类 号：O182.2-4[理学—数学]