优优班--学霸训练营 > 知识点挑题
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            • 1.

              若直线\(ax+y+1=0\)与圆\(x^{2}+y^{2}-4x=0\)相切,则\(a\)的值为\((\)  \()\)

              A.\(1\)                                                          
              B.\( \dfrac{4}{3}\)

              C.\(- \dfrac{3}{4}\)
              D.\( \dfrac{3}{4}\)
            • 2.
              过点\((1,-2)\)作圆\((x-1)^{2}+y^{2}=1\)的两条切线,切点分别为\(A\),\(B\),则\(AB\)所在直线的方程为\((\)  \()\)
              A.\(y=- \dfrac { \sqrt {3}}{4}\)
              B.\(y=- \dfrac {1}{2}\)
              C.\(y=- \dfrac { \sqrt {3}}{2}\)
              D.\(y=- \dfrac {1}{4}\)
            • 3.

              由点\(P(1,3)\)引圆\(x+y^{2}=9\)的切线的长是  \((\)    \()\)

              A.\(2\)
              B.\(\sqrt{{19}}\)
              C.\(1\)
              D.\(4\)
            • 4. 从直线\(x-y+3=0\)上的点向圆\(x^{2}+y^{2}-4x-4y+7=0\)引切线,则切线长的最小值为  
            • 5.
              平行于直线\(2x+y+1=0\)且与圆\(x^{2}+y^{2}=5\)相切的直线的方程是\((\)  \()\)
              A.\(2x+y+5=0\)或\(2x+y-5=0\)
              B.\(2x+y+ \sqrt {5}=0\)或\(2x+y- \sqrt {5}=0\)
              C.\(2x-y+5=0\)或\(2x-y-5=0\)
              D.\(2x-y+ \sqrt {5}=0\)或\(2x-y- \sqrt {5}=0\)
            • 6.
              过点\((3,1)\)作圆\((x-1)^{2}+y^{2}=1\)的两条切线,切点分别为\(A\),\(B\),则直线\(AB\)的方程为\((\)  \()\)
              A.\(2x+y-3=0\)
              B.\(2x-y-3=0\)
              C.\(4x-y-3=0\)
              D.\(4x+y-3=0\)
            • 7. 过点\((0, \sqrt {3})\)与圆\(C\):\((x-1)^{2}+y^{2}=4\)相切的直线方程为 ______ .
            • 8.
              在平面直角坐标系\(xOy\)中,以点\((1,0)\)为圆心且与直线\(mx-y-2m-1=0(m∈R)\)相切的所有圆中,半径最大的圆的标准方程为 ______ .
            • 9.

              \(.\)过点\(A(3,5)\)作圆\((x-2)^{2}+(y-3)^{2}=1\)的切线,则切线的方程为(    )

              A.\(x=3\)或\(3x+4y-29=0\)
              B.\(y=3\)或\(3x+4y-29=0\)
              C.\(x=3\)或\(3x-4y+11=0\)  
              D.\(y=3\)或\(3x-4y+11=0\)
            • 10.

              已知直线\(l\)\(x\)\(+\)\(ay\)\(-1=0(\)\(a\)\(∈R)\)是圆\(C\)\(x\)\({\,\!}^{2}+\)\(y\)\({\,\!}^{2}-4\)\(x\)\(-2\)\(y\)\(+1=0\)的对称轴\(.\)过点\(A\)\((-4,\)\(a\)\()\)作圆\(C\)的一条切线,切点为\(B\),则\(|\)\(AB\)\(|=(\)   \()\)

              A.\(2\)       
              B.\(4 \sqrt{2}\)
              C.\(6\)
              D.\(2 \sqrt{10}\)
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