15已知圆O1的方程为x²+(y+1)²=4,圆O2的圆心为(2,1).(1) 若圆O2与圆O1外切,求圆O2的方程,并求内公切线方程;(2) 若圆O2与圆O1交于A、B两点,且AB的绝对值=2√2(二倍的根号2),求圆O2
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![15已知圆O1的方程为x²+(y+1)²=4,圆O2的圆心为(2,1).(1) 若圆O2与圆O1外切,求圆O2的方程,并求内公切线方程;(2) 若圆O2与圆O1交于A、B两点,且AB的绝对值=2√2(二倍的根号2),求圆O2](/uploads/image/z/7639079-23-9.jpg?t=15%E5%B7%B2%E7%9F%A5%E5%9C%86O1%E7%9A%84%E6%96%B9%E7%A8%8B%E4%B8%BAx%26%23178%3B%2B%EF%BC%88y%2B1%EF%BC%89%26%23178%3B%3D4%2C%E5%9C%86O2%E7%9A%84%E5%9C%86%E5%BF%83%E4%B8%BA%EF%BC%882%2C1%EF%BC%89.%EF%BC%881%EF%BC%89+%E8%8B%A5%E5%9C%86O2%E4%B8%8E%E5%9C%86O1%E5%A4%96%E5%88%87%2C%E6%B1%82%E5%9C%86O2%E7%9A%84%E6%96%B9%E7%A8%8B%2C%E5%B9%B6%E6%B1%82%E5%86%85%E5%85%AC%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B%EF%BC%9B%EF%BC%882%EF%BC%89+%E8%8B%A5%E5%9C%86O2%E4%B8%8E%E5%9C%86O1%E4%BA%A4%E4%BA%8EA%E3%80%81B%E4%B8%A4%E7%82%B9%2C%E4%B8%94AB%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%3D2%E2%88%9A2%EF%BC%88%E4%BA%8C%E5%80%8D%E7%9A%84%E6%A0%B9%E5%8F%B72%EF%BC%89%2C%E6%B1%82%E5%9C%86O2)
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