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题目已知点A、B为抛物线C:y2=4x上的两个动点,点A在第一象限,点B在第四象限,直线l1,l2分别过点A、B且与抛物线C相切,点P为直线l1,l2的交点.(1)若直线AB过抛物线C的焦点F,求证:动点P在一条定直线上,并求此直线的方程;(2)设C、D分别为直线l1,l2与直线x=4的交点,求△PCD面积的最小值.这道题是2014年《福建高考“集结号”最后冲刺模拟卷》·数学(文史类)第三卷中的第22题,主
Subject known points A, B for the parabola C: y2 = 4x on the two moving points, the point A in the first quadrant, the point B in the fourth quadrant, the lines l1, l2 respectively points A, B and parabolic C phase (1) If the straight line AB crosses the focus F of the parabola C, verify that the moving point P is in a straight line and find the equation of the straight line. (2) Let C and D Respectively, the intersection of the straight line l1, l2 and the straight line x = 4, find the minimum value of △ PCD area.This question is the 2014 “Fujian college entrance examination ” assembly number “final sprint simulation volume ” mathematics (literature and history) third Question 22 in the volume, Lord