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圆心为\(\left( {1, - 1} \right)\)且过原点的圆的一般方程是\( (\) \( )\).
A.\({x^2} + {y^2} + 2x - 2y + 1 = 0\)
B.\({x^2} + {y^2} - 2x + 2y + 1 = 0\)
C.\({x^2} + {y^2} + 2x - 2y = 0\)
D.\({x^2} + {y^2} - 2x + 2y = 0\)
参考答案:D
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