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众所周知,过抛物线顶点和焦点弦端点的两条直线分别与抛物线的准线交于两点,则以这两点为直径端点的圆过抛物线的焦点.那么,对于一般的圆锥曲线,是否也有同样的性质呢?笔者经过演算,得到了肯定的答案.性质过圆锥曲线E的一个焦点F的任一直线(不与焦点所在坐标轴重合)交E于不同两点,和另一焦点F’相对应的顶点与这两点的连线分别和F相对应的准线交于另两点,则以准线上这两点为直径端
As we all know, the parabola vertex and the end point of the focus of the two straight lines were parabolic with the line at the two points, then the two points for the diameter of the end of the circle over the parabola focus. Then, for the general conic curve, the same The author got the affirmative answer through the calculation.Either of the straight lines of a focal point F (not coincident with the coordinate axis where the conic is) intersects E at two different points, and the other focal point F ’ Corresponding to the vertex and the connection of these two points respectively, and F corresponding to the intersection of the other two points, then the two points on the quasi-line diameter end