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笔者在研究2006年湖北省高考试题(理科)第20题时,通过在准线l:x=4上取两个不同的点P,分别求出对应的直线MN的方程,发现这两条不同的直线均过焦点F(1,0),于是引起了笔者的极大兴趣,通过探讨,笔者得到如下与圆锥曲线的准线有关的三个结论.性质1若A、B是椭圆C:ax22+by22=1(ab0)?
When the author was studying the 20th problem of the Hubei Provincial High School Exam (Science) in 2006, he took two different points P on the alignment line l:x=4 to find the equation of the corresponding line MN and found that the two were different. The straight line crossed the focus F(1,0), which caused the author’s great interest. Through the discussion, the author obtained the following three conclusions related to the alignment of the conic curve. Property 1 if A, B is the ellipse C:ax22 +by22=1(ab0)?