古希腊数学家阿波罗尼斯的著作《圆锥曲线论》中有这样一个结论:平面内与两点距离的比为常数
(
)的点的轨迹是圆,后人称这个圆为阿波罗尼斯圆.已知点
,
,动点
满足
,若点
的轨迹与圆
:
(
)有且仅有三条公切线,则
( )
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【推荐1】在平面直角坐标系
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,
,
,动点
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【推荐2】古希腊三大数学家之一阿波罗尼斯的著作《圆锥曲线论》中指出:平面内与两定点距离的比为常数k(
且
的点的轨迹是圆,已知平面内两点A(
,0),B(2
,0),直线
,曲线C上动点P满足
,则曲线C与直线l相交于M、N两点,则|MN|的最短长度为( )
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【推荐1】已知圆
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上存在点
,使得
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的最大值为( )
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【推荐2】已知点
为圆
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