1 . 设O为坐标原点,动点P在圆
上,过点P作
轴的垂线,垂足为Q且
.
(1)求动点D的轨迹E的方程;
(2)直线
与圆
相切,且直线
与曲线E相交于两不同的点A、B,T为线段AB的中点.线段OA、OB分别与圆O交于M、N两点,记
的面积分别为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e01ab2367599ebef5d70bebe1e2b78.png)
(1)求动点D的轨迹E的方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4445624a29fa285ca1cce7ebe9adeba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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2022-01-25更新
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2卷引用:重庆市西南大学附属中学2021-2022学年高二上学期期末数学试题