一类共焦圆锥曲线族与曲线坐标方程

A Confocal Family of Conics and Curvinear Coordinate Method

讨论了共焦圆锥曲线族 x2 / ( s-1 ) +y2 / ( s-3 ) =1 (其中 s为参数 )的各种性质 ,并利用曲线坐标变换计算了该族圆锥曲线所成平面区域的面积。

It study a family of confocal conics of the form x 2/(s-1)+y 2/(s-3)=1. We use curvilinear coordinate to calculate the area of the region bounded by an ellipse and a hyperbola passing through a common point and the coordinate axis.