特殊旋转二次曲面的性质

The Special Nature of the Rotational Conicoid

圆柱、圆锥、旋转椭球面、旋转双曲线、旋转抛物面都是特殊旋转二次曲面。旋转二次曲面是空间一条曲线绕着定直线旋转一周所生成的曲面,通过对特殊旋转二次曲面性质的研究,可以建立空间曲面与平面曲线之间的关系,更好地理解二次曲面的形成过程。

Cylinder,cone,rotating ellipsoid,rotating hyperbolic,rotating paraboloid are special rotational conicoid. Rotational quadric surface is a curve around a fixed linear space to revolve the generated surface. Based on the research of the special nature of the rotational conicoid,we can establish the relationship between the space curved surface and plane curve,And we can better understand the formation process of quadric surface.