试题与答案

抛物线y2=-8x中,以点(-1,1)为中点的弦所在的直线的方程为(). A.x-4

题型:单项选择题

题目:

抛物线y2=-8x中,以点(-1,1)为中点的弦所在的直线的方程为().

A.x-4y-3=0

B.x+4y+3=0

C.4x+y-3=0

D.4x+y+3=0

答案:

参考答案:D

解析:

设该直线为y=kx+1+k,代入抛物线方程有k2x2+(2k2+2k+8)x+(k+1)2=0,则有,直线方程为4x+y+3=0,选D。

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