论文部分内容阅读
圆锥曲线中的椭圆、双曲线、抛物线,不仅各具特色和内涵,而且也有统一的定义和性质.而对于作为一个有机整体的圆锥曲线,探求其所具有的共同特征应该是一件非常有意义的事情.本文探究过对称轴上一点的两条直线的斜率和中点连线的关系,寻求圆锥曲线的一个统一性质,具体内容如下.性质1已知E(m,0)为椭圆x2a2+y2b2=1(a>b>0)长轴上一定点,过点E作斜率分别为k1,k2的两条直线,与椭圆相交于A,B,C,
Conic oval, hyperbola, parabola, not only have their own characteristics and connotation, but also have a unified definition and nature of the conic as an organic whole, to explore their common characteristics should be a very meaningful This paper explores the relationship between the slope of two straight lines at a point on the axis of symmetry and the midpoint connection and seeks a uniform property of the conic curve as follows: Property 1 E (m, 0) is known as an ellipse x2a2 + Y2b2 = 1 (a> b> 0) on the long axis of a certain point, over point E for the slope of k1, k2 of the two straight lines, and the ellipse intersect in A, B, C,