笔者在学习和研究圆锥曲线时,发现了圆锥曲线的一个统一优美的性质,现表述如下,与同仁共享.性质1如图1,经过椭圆E:x2/a2+y2/b2=1(a>b>0)的焦点F且垂直于x轴的直线交椭圆E于点A,B为椭圆上不同于点A的任一点,点B在x轴上的正投影为点M,椭圆E在点A处的切线交直线 When I studied and studied the conic curve, I found a uniform and graceful conical curve, which is described as follows: I share the elliptic curve E = x2 / a2 + y2 / b2 = 1 (a> b> 0) and perpendicular to the x-axis intersects the ellipse at point A, B is any point on the ellipse different from point A, the orthographic projection of point B on the x-axis is point M, the ellipse E is at point A at the tangent of the line