1 . 如图,已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1bf8899b8865afe102aec97e340e45.png)
,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c023f4b501684abd869b36d6e6c7f21f.png)
与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
轴相交于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82579abfc42e714912f3897067b45086.png)
,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
轴于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
的中点,求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
的轨迹方程.
2020-03-25更新
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212次组卷
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1卷引用:四川省双流中学2019-2020学年高二上学期期中考试数学(理)试题
2 . 已知椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872a6cd5f884b2e71daf6e00fc7dd74f.png)
及点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e584f799ea554fc5533925ead4672501.png)
.
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
过点M与椭圆E相交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
两点,求当点M为弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
中点时的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
过点M与椭圆E相交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
两点,求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
的中点轨迹.;
(3)若椭圆E上存在两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
关于直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7eff5ecd1b7c0009d2ebaed7d9fb6fa.png)
对称,求m的取值范围.
2016-12-01更新
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612次组卷
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1卷引用:2011-2012年四川省成都市新都香城中学高二上学期期中考试数学(已下线)2011-2012年四川省成都市新都香城中学高二上学期期中考试数学