论文部分内容阅读
文[1]给出了圆锥曲线的一个优美性质,并给出了如下定理:定理1:过定点E(m,0)的动直线与圆锥曲线分别交于A,B两点,过A,B两点的切线的交点的轨迹记为C.若M为C上任意一点,则过点M的圆锥曲线两条切线的斜率之和恰为直线ME斜率的两倍.笔者借助几何画板演示文[1]结论时又发现了一个新的结论:命题:过定点E(m,0)的动直线与圆锥曲线分别交于A,B两点,过A,B两点的切线的交点的轨迹记为C.
In [1], a graceful property of the conic is given and the following theorem is given: Theorem 1: The moving straight line and the conic passing over the fixed point E (m, 0) are respectively intersected with point A and point B, B points of the tangent of the two points of the track marked as C. If M is any point on C, then point M of the taper of the tangent of the sum of the slope of the slope just two times the slope of the slope of the ME.I use geometry Sketchpad presentation [1] The conclusion also found a new conclusion: Proposition: over a point E (m, 0) of the moving straight line and the conic are respectively at A, B two points, A, B point tangent of two points of the trajectory Mark as C.