文献[1]、[2]探求了有心曲线椭圆与双曲线两垂直切线交点轨迹,得到如下结论:性质1椭圆x~2/a~2+y~2/b~2=1(a>b>0)的两条相互垂直的切线MA,MB的交点M轨迹为x~2+y~2=a~2+b~2,它经过双曲线x~2/a~2-y~2/b~2=1(a>0,b>0)的两个焦点.性质2双曲线x~2/a~2-y~2/b~2=1(a>0,b>0)的两条相互垂直的切线MA,MB的交点M Literatures [1] and [2] explored the intersection trajectory of two vertical tangent lines between the centered curve ellipse and the hyperbola, and obtained the following conclusion: Property 1 Ellipse x~2/a~2+y~2/b~2=1(a>b The intersection point of two mutually perpendicular tangents MA and MB of >0) is the path M of x~2+y~2=a~2+b~2, which passes the hyperbola x~2/a~2-y~2/ b~2=1 (a>0, b>0) of two focal points. Property 2 Hyperbola x~2/a~2-y~2/b~2=1 (a>0, b>0) Two mutually perpendicular tangents MA, MB intersection M