论文部分内容阅读
圆锥曲线上的四点构成了一个四边形,文[1]中得到了四边形相邻顶点上的圆锥曲线切线的相关交点与该四边形对角线交点及两对边延长线交点共线的性质(共线点有2组),作者分别给出了在椭圆及抛物线形式下的证明,在证明的过程中,作者主要是利用斜率相等这一思路来证明相应四点共线.注意到在文[1]中,所关注的是四边形相邻顶点所在的圆锥曲线切线的相关交点与四边形对角线交点及
The four points on the conic form a quadrilateral. In [1], the correlation between the intersections of the conic tangents on the adjacent vertices of the quadrilateral and the intersections of the diagonals of the quadrilaterals and the two pairs of extension lines is obtained There are two groups of line points), the author gives respectively the proofs in the form of ellipses and parabolas. In the process of proof, the author mainly uses the idea of equal slope to prove the corresponding four-point collinearity. ], The concerned point is the intersection of the tangent of the conic curve where the adjacent vertex of the quadrangle is located and the diagonal of the quadrilateral and