优优班--学霸训练营 > 知识点挑题
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            • 1.
              过点\(P_{1}(3,-1)\)与\(P_{2}(-2,1)\)的直线的斜截式方程为\((\)  \()\)
              A.\(y= \dfrac {2}{5}x+ \dfrac {1}{5}\)
              B.\(y=- \dfrac {2}{5}x+ \dfrac {1}{5}\)
              C.\(y=- \dfrac {2}{5}x- \dfrac {11}{5}\)
              D.\(y= \dfrac {2}{5}x- \dfrac {11}{5}\)
            • 2.

              已知直线\(ax+y+a+1=0 \),不论\(a\)取何值,该直线恒过的定点是(    )

              A.\(\left( 1,-1 \right)\)
              B.\(\left(-1,1\right) \)
              C.\(\left(1,1\right) \)
              D.\(\left( -1,-1 \right)\)
            • 3. 若点P(3,1)为圆(x-2)2+y2=16的弦AB的中点,则直线AB的方程为(  )
              A.x-3y=0
              B.2x-y-5=0
              C.x+y-4=0
              D.x-2y-1=0
            • 4. 原点O(0,0)与点A(-4,2)关于直线l对称,则直线l的方程是(  )
              A.x+2y=0
              B.2x-y+5=0
              C.2x+y+3=0
              D.x-2y+4=0
            • 5. 已知直线l1:2x-y+1=0,直线l2与l1关于直线y=-x对称,则直线l2的方程为(  )
              A.x-2y+1=0
              B.x+2y+1=0
              C.x-2y-1=0
              D.x+2y-1=0
            • 6.
              已知三点坐标\(A(0,-4)\),\(B(4,0)\),\(C(-6,2)\),点\(D\),\(E\),\(F\)分别为线段\(BC\),\(CA\),\(AB\)的中点,则直线\(EF\)的方程为\((\)  \()\)
              A.\(x+5y+8=0\)
              B.\(x-y+2=0\)
              C.\(x+y=0\)
              D.\(x+y+4=0\)
            • 7.
              直线\(mx-y-m+2=0\)恒过定点\(A\),若直线\(l\)过点\(A\)且与\(2x+y-2=0\)平行,则直线\(l\)的方程为\((\)  \()\)
              A.\(2x+y-4=0\)
              B.\(2x+y+4=0\)
              C.\(x-2y+3=0\)
              D.\(x-2y-3=0\)
            • 8.
              经过圆\((x+1)^{2}+(y-1)^{2}=2\)的圆心\(C\),且与直线\(x+y=0\)垂直的直线方程是\((\)  \()\)
              A.\(x+y+1=0\)
              B.\(x+y-2=0\)
              C.\(x-y+2=0\)
              D.\(x-y-1=0\)
            • 9.
              已知直线\(l\)过点\(P(1,2)\),且与\(x\)轴、\(y\)轴的正半轴分别交于\(A\),\(B\)两点,则当\(\triangle AOB\)的面积取得最小值时,直线\(l\)的方程为\((\)  \()\)
              A.\(2x+y-4=0\)
              B.\(x-2y+3=0\)
              C.\(x+y-3=0\)
              D.\(x-y+1=0\)
            • 10.
              经过点\(A(1,2)\)并且在两个坐标轴上的截距的绝对值相等的直线方程为\((\)  \()\)
              A.\(y=2x\)或\(x-y+1=0\)
              B.\(y=2x\),\(x+y-3=0\)
              C.\(x+y-3=0\),或\(x-y+1=0\)
              D.\(y=2x\),或\(x+y-3=0\),或\(x-y+1=0\)
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