优优班--学霸训练营 > 知识点挑题
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            • 1.

              圆\(C_{1}\):\((x+1)^{2}+(y+2)^{2}=4\)与圆\(C_{2}\):\((x-1)^{2}+(y+1)^{2}=9\)有\((\)    \()\)条公切线

              A.\(0\)
              B.\(2\)
              C.\(3\)
              D.\(4\)
            • 2.

              在坐标平面内,与点\(A(1,2)\)的距离为\(1\),且与点\(B(5,5)\)的距离为\(d\)的直线共有\(4\)条,则\(d\)的取值范围是 (    )

              A.\(0 < d < 4\)        
              B.\(d\geqslant 4\)             
              C.\(4 < d < 6\)         
              D.以上结果都不对
            • 3.
              已知圆\(C_{1}\):\(x^{2}+y^{2}+2x-6y+1=0\),与圆\(C_{2}\):\(x^{2}+y^{2}-4x+2y-11=0\)相交于\(A\),\(B\)两点,求\(AB\)所在的直线方程和公共弦\(AB\)的长.
            • 4.
              两圆\(x^{2}+y^{2}-4x+2y+1=0\)与\(x^{2}+y^{2}+4x-4y-1=0\)的公切线有\((\)  \()\)
              A.\(1\)条
              B.\(2\)条
              C.\(3\)条
              D.\(4\)条
            • 5.

              已知圆\(C_{1}:x^{2}+y^{2}=1\),圆 \(C_{2}:x^{2}+y^{2}-8x+12=0\),则两圆的公切线长为____    ___.

            • 6. 圆\(C_{1}:x^{2}+y^{2}+2x+4y+1=0\)与圆\(C_{2}:x^{2}+y^{2}-4x-4y-1=0\)的公切线有几条\((\)  \()\)
              A.\(1\)条
              B.\(2\)条
              C.\(3\)条
              D.\(4\)条
            • 7.

              圆\(O_{1}\):\(x\)\({\,\!}^{2}+\)\(y\)\({\,\!}^{2}-2\)\(x\)\(=0\)和圆\(O_{2}\):\(x\)\({\,\!}^{2}+\)\(y\)\({\,\!}^{2}-4\)\(x\)\(=0\)的公切线有        条\(.\)

            • 8.

              两圆\((x{-}2)^{2}{+}(y{-}1)^{2}{=}4\)与\((x{+}1)^{2}{+}(y{-}2)^{2}{=}9\)的公切线有\(({  })\)条\(.\)

              A.\(1\)
              B.\(2\)
              C.\(3\)
              D.\(4\)
            • 9.

              两圆\((x-2)^{2}+(y-1)^{2}=4\)与\((x+1)^{2}+(y-2)^{2}=9\)的公切线有\((\)   \()\)

              A.\(1\)条
              B.\(2\)条
              C.\(3\)条
              D.\(4\)条
            • 10.

              两圆\((x{-}2)^{2}{+}(y{-}1)^{2}{=}4\)与\((x{+}1)^{2}{+}(y{-}2)^{2}{=}9\)的公切线有\(({  })\)条\(.\)

              A.\(1\)
              B.\(2\)
              C.\(3\)
              D.\(4\)
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