论文部分内容阅读
题目已知A、B是椭圆x~2/a~2+y~2/b~2=1(a>b>0)的左、右顶点,P、Q是该椭圆上不同于顶点的两点,且直线AP与QB,PB与AQ分别交于M、N.(1)证明:MN⊥AB;(2)若弦PQ过椭圆的右焦点F_2,求直线MN的方程.分析与猜想对于椭圆的大题计算量本来就很大,初看此题似乎什么条件都没有,笔者也试着从一般方法做过,但计算量实在很大.而后仔细分析,此时想着从椭圆的参数方
The subject is known A, B is the left and right vertices of the elliptic x ~ 2 / a ~ 2 + y ~ 2 / b ~ 2 = 1 (a> b> 0), P, Q is the two different from the vertex (1) Prove: MN ⊥ AB; (2) If the string PQ passes the right focus F_2 of the ellipse, find the equation of the line MN. Analysis and Conjecture For the Ellipse big problem calculation already great, first look at this question seems to be what conditions are not, I also tried to do from the general method, but the amount of computation is very large .After careful analysis, this time thinking from the ellipse parameters square