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众所周知,圆锥曲线的准线具有很特殊的性质.研究发现,有心圆锥曲线的顶切线(过顶点的切线)也具有独特的性质.下面介绍一组与有心圆锥曲线顶切线相关的定性结论,包括定值、定点、定位置关系.定理1如果A、B是椭圆x~2/a~2+y~2/b~2=1(a>b>0)的左、右顶点,F是右焦点,l是右顶切线,M是椭圆上异于A、B的动点,直线MA与l交于点P,那么
As we all know, the alignment of the conic curve has very special properties. It was found that the top tangent of the concentric conic curve (the tangent to the top vertex) also has unique properties. Here is a set of qualitative conclusions related to the top tangent of the concentric conic curve, including: Fixed-point, fixed-point, fixed-position relations. Theorem 1 If A, B are the left and right vertices of the ellipse x~2/a~2+y~2/b~2=1(a>b>0), F is the right Focus, l is the top right tangent line, M is different from the moving points of A, B on the ellipse, the straight line MA and l intersect at point P, then