已知直线与抛物线相交于两点,为的焦点,若,则        A.    

已知直线与抛物线相交于两点,的焦点,若,则

       A.                         B.                       C.                         D.

答案

:D


解析:

:设A、B的横坐标分别为,由

    ………①,  ………②

  因为直线和抛物线有两个交点,所以,解之可得

因为,由抛物线定义得,即………③,

由①②③可得,所以=5,解得,因为,所以选D.

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