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已知圆\({C}_{1}:{x}^{2}+{y}^{2}-2x-6y-1=0\),\({C}_{2}:{x}^{2}+{y}^{2}-10x-12y+45=0\).
求证:\({C}_{1}{C}_{2}\)相交;
参考答案:证明见解析;
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