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在《平面解析几何》的教学中，我发现椭圆和双曲线有这样一组性质．性质１若双曲线Ｃ１的弦ＰＱ和实轴Ａ′Ａ所在直线垂直，则直线Ａ′Ｐ与直线ＡＱ的交点的轨迹是以已知双曲线Ｃ１的实轴为长轴，虚轴为短轴的椭圆Ｃ２（以下简称椭圆Ｃ２）．图１证明：不妨设已知双曲线Ｃ...
In the teaching of “Planar Analytic Geometry”, I found that ellipses and hyperbolas have such a set of properties. Property 1 If the chord PQ of the hyperbola C1 is perpendicular to the straight line of the real axis A’A, the trajectory of the intersection of the straight line A’P and the straight line AQ is the long axis of the known hyperbola C1 and the imaginary axis is the short axis. The ellipse C2 (hereinafter referred to as ellipse C2). Figure 1 proves that: may wish to set the known hyperbola C...