经过圆x2+2x+y2=0的圆心,与直线x+y=0垂直的直线方程是( )。A、x+y+1=0 B、x-y-1=0 C、x+y-1=0 D、x-y+1=0

作者: tihaiku 人气: - 评论: 0
问题 经过圆x2+2x+y2=0的圆心,与直线x+y=0垂直的直线方程是( )。
选项 A、x+y+1=0 B、x-y-1=0 C、x+y-1=0 D、x-y+1=0
答案 D
解析 圆x2+2x=0的圆心坐标是(-1,0),直线x+y=0的斜率是k=-1,因此过圆心(-1,0)垂直该直线的直线斜率为kt=1。则直线方程是x一y+l=0。

相关内容:x2+2x+y2,圆心,直线,方程

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