若直线y=kx+1与直线2x+y-4=0垂直,则k= .
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设m,n∈R,若直线(m+1)x+(n+1)y-2=0与圆(x-1)
2+(y-1)
2=1相切,则m+n的取值范围是( )
A.[1-
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,1+
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]
B.(-∞,1-
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]∪[1+
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,+∞)
C.[2-2
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,2+2
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D.(-∞,2-2
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]∪[2+2
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,+∞)
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直线y=kx+3与圆(x-3)
2+(y-2)
2=4相交于M,N两点,若
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,则k的取值范围是( )
A.[-
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,0]
B.
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C.[-
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]
D.[-
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,0]
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若过定点M(-1,0)且斜率为k的直线与圆x
2+4x+y
2-5=0在第一象限内的部分有交点,则k的取值范围是( )
A.0
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B.
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C.0
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D.0<k<5
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方程x
2+y
2-x+y+m=0表示一个圆,则m的取值范围是( )
A.m≤2
B.m<2
C.m<
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D.
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如图,平面中两条直线l
1和l
2相交于点O,对于平面上任意一点M,若p、q分别是M到直线l
1和l
2的距离,则称有序非负实数对(p,q)是点M的“距离坐标”.已知常数p≥0,q≥0,给出下列命题①若p=q=0,则“距离坐标”为(0,0)的点有且仅有1个;
②若p=0,q=1,则“距离坐标”为(0,1)的点有且仅有2个;
③若p=1,q=2,则“距离坐标”为(1,2)的点有且仅有4个.
上述命题中,正确命题的个数是( )
A.3
B.2
C.1
D.0
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