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笔者拜读文[1]后发现,文中引申1与引申3的结论有误,现给出以下更正结论与作者商榷.文[1]引申1已知椭圆x~2/a~2+y~2/b~2=1(a>b>0)的左、右焦点分别为F_1(-c,0),F_2(c,0).A,B是椭圆上位于x轴上方的两点,且直线AF_1与直线BF_2平行,AF_2与BF_1交于点P,则点P的轨迹是以F_1、F_2为焦点的椭圆.事实上,引申1是由2012年江苏高考数学第19题直接推广所得,由于A,B是椭圆上位于x轴上方的两点,所以满
After reading the article [1], the author finds that the conclusion of the article 1 and the article 3 is incorrect, and the following correction conclusion is given for discussion with the author: [1] Extension 1 Known ellipses x ~ 2 / a ~ 2 + y ~ 2 Left and right focal points of / b ~ 2 = 1 are respectively F_1 (-c, 0) and F_2 (c, 0). A and B are two points on the ellipse above the x- The straight line AF_1 is parallel to the straight line BF_2 and the intersection of AF_2 and BF_1 is at the point P, then the trajectory of the point P is an ellipse focusing on F_1 and F_2. In fact, extended 1 is derived from the direct promotion of the 19th college entrance examination in 2012 Jiangsu Entrance Examination, A, B is the ellipse on the x-axis above the two points, so full