笔者最近对圆锥曲线作了些研究,得到了一组有趣而又美妙的轨迹,现说明如下,与读者共享.轨迹1设PQ是圆x2+y2=r2(r0)的弦,且PQ与x轴垂直,A1,A2是圆与x轴的交点,则直线PA1和QA2的交点的轨迹是等轴双曲线x2-y2=r2.证明由题意,不妨设P(x0,y0),Q(x0,-y0),又知A1(-r,0),A2(r,0),故得 The author recently made some studies on the conic curve and obtained a set of interesting and wonderful trajectories, which are explained below and shared with the reader. Trajectory 1 Let PQ be the chord of circle x2+y2=r2(r0), and PQ and x Axis is vertical, A1, A2 is the intersection of the circle and the x-axis, the trajectory of the intersection point of the straight line PA1 and QA2 is an isometric hyperbole x2-y2=r2. Proved by the problem, P(x0, y0), Q ( X0, -y0), also known as A1(-r,0), A2(r,0), so