题目内容
已知直线y=mx-1上有一点B(1,n),它到原点的距离是
,则此直线与两坐标轴围成的三角形的面积为

A.![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
C
B点到原点的距离
+1=10
=3 或
=-3
分别代入方程,得m=4或m=-2
所以直线方程分别为
y=4x-1和y=-2x-1
y=4x-1和x,y轴交点是(
,0)(0,-1)
所围成面积为
y=-2x-1和x,y轴交点是(-
,0)(0,-1)
所围成三角行面积为
. 故选C



分别代入方程,得m=4或m=-2
所以直线方程分别为
y=4x-1和y=-2x-1
y=4x-1和x,y轴交点是(

所围成面积为

y=-2x-1和x,y轴交点是(-

所围成三角行面积为


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