设 A1、A2 是双曲线x^2/4-y^2=1的实轴两个端点,垂直于x轴的弦p1.p2交双曲线于p1.P2两点,则直线A1P1,A2P2 交点的轨迹方程为

设P1(x0,y0),P1(x0,-y0),∵x^2/4-y^2=1∴A1(2,0)A2(-2,0)∴直线A1P1方程为y=y0/x0-2(x-2),直线A2P2方程为y=y0/x0+2(x+2),联立直线A1P1,A2P2,得到交点坐标为(4/x0,2y0/x0),又∵P1(x0,y0)在双曲线上∴x0²/4-y0
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