已知两条直线l1:x+2ay﹣1=0,l2:x﹣4y=0,且l1∥l2,则满足条件a的值

已知两条直线l1x+2ay1=0l2x4y=0,且l1l2,则满足条件a的值为(  )

A B      C.﹣2   D2

答案

C【考点】直线的一般式方程与直线的平行关系.

【专题】直线与圆.

【分析】根据两直线平行,直线方程中一次项系数之比相等,但不等于常数项之比,求得a的值.

【解答】解:根据两条直线l1x+2ay1=0l2x4y=0,且l1l2,可得,求得 a=2

故选C

【点评】本题主要考查两直线平行的性质,两直线平行,直线方程中一次项系数之比相等,但不等于常数项之比,属于基础题.

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