题目内容
(本小题满分12分)如图,已知圆
经过椭圆
的右焦点F及上顶点B.过点
作倾斜角为
的直线
交椭圆于C、D两点.
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(1)求椭圆的方程;
(2)若点
恰在以线段CD为直径
的圆的内
部,求实数
范围.
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(1)求椭圆的方程;
(2)若点
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的圆的内
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(1)
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(2)
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解: (1)∵圆G:
经过点F、B
∴F(2,0),B(0,
),∴
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综上所述,
的取值范围是
………(12分)
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∴F(2,0),B(0,
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