优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知两圆\(⊙C_{1}\):\(x^{2}+y^{2}+D_{1}x+E_{1}y-3=0\)和\(⊙C_{1}\):\(x^{2}+y^{2}+D_{2}x+E_{2}y-3=0\)都经过点\(A(2,-1)\),则同时经过点\((D_{1},E_{1})\)和点\((D_{2},E_{2})\)的直线方程为\((\)  \()\)
              A.\(2x-y+2=0\)
              B.\(x-y-2=0\)
              C.\(x-y+2=0\)
              D.\(2x+y-2=0\)
            • 2.
              已知两圆\(x^{2}+y^{2}=10\)和\((x-1)^{2}+(y-3)^{2}=20\)相交于\(A\),\(B\)两点,则直线\(AB\)的方程是 ______ .
            • 3.

              已知圆\({{O}_{1}}\)与圆\({{O}_{2}}\)的极坐标方程分别为\(\rho =2\)\({{\rho }^{2}}-2\sqrt{2}\rho \cos (\theta -\dfrac{\pi }{4})=2.\)

              \((1)\)求圆\({{O}_{1}}\)与圆\({{O}_{2}}\)的直角坐标方程;

              \((2)\)设两圆交点分别为\(A,B,\)求弦长\(\left| AB \right|\).

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