新论与二次曲面有交线圆的平面的存在性

New Theory on the Existence of Plane Which Intersects with Quadric Surfaces in a Circle

利用平面与球面的任何交线均为圆这一特点,本文研究了与椭球面、双曲面、抛物面交线为圆的平面的存在性问题,提出了不同于旋转变换法和二次型方法的新的更简捷的证明方法.

Using the characteristic that plane intersects with sphere in a circle,this article studied the existence of plane which intersects with ellipsoid,hyperboloid,parabolic surfaces in a circle.Especially,we introduce an easier method to prove this existence result.