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笔者近日在对圆锥曲线内点性质研究时 ,发现了圆锥曲线内点的一个新颖有趣的性质 .图 1性质 1 设P(x0 ,y0 )是椭圆E内部一定点 (异于E的中心O) ,过点P引直线l交椭圆E于A、B两点 ,以OA、OB为邻边作平行四边形 (当A、O、B三点共线时 ,可视为退化情形 ,下同)O
The author recently discovered a novel and interesting property of the point within the conic section when studying the properties of the conic section. Figure 1 Properties 1 Let P(x0, y0) be a certain point inside the ellipse E (different from the center O of the E). , P point over the straight line l cross ellipse E in A, B two points, with OA, OB as the adjacent side for the parallelogram (When A, O, B three points collinear, can be considered as a degenerate situation, the same below)