名校
解题方法
1 . 已知椭圆
的左、右焦点分别为
、
,设
是第一象限内椭圆
上一点,
、
的延长线分别交椭圆
于点
、
,直线
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/7b718a14-066c-4f9c-aca6-52d962954498.png?resizew=165)
(1)当
垂直于
轴时,求直线
的方程;
(2)若
关于原点的对称点为
,点
在线段
上,且满足
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6de03e2b3bef75237eb998d6e11d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02adfa16c275344856401c6f63f3c6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61228c72df45a3809cb6729f8227721b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/7b718a14-066c-4f9c-aca6-52d962954498.png?resizew=165)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c81d490c018a166d9970b1b5ea0a63.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9586d7764a68b4097d5885773522bb3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e99ae76e5949bb0aa5558117d74a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a94685fdd43c4d319d7884f38eac9ed.png)
您最近一年使用:0次
真题
名校
2 . 已知椭圆
的左焦点为
,离心率为
,点M在椭圆上且位于第一象限,直线
被圆
截得的线段的长为c,
.
(Ⅰ)求直线
的斜率;
(Ⅱ)求椭圆的方程;
(Ⅲ)设动点
在椭圆上,若直线
的斜率大于
,求直线
(
为原点)的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9b4d4a991df0be4e8c1dbe76ef5300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04add41d4f548a8cca7e06703c8f2d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549a210be60995927c49eb16a3fe86c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6247c4aa1d902d36ebd520943004771e.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2273ae1ee99cec9c1304323bc9ebf75f.png)
(Ⅱ)求椭圆的方程;
(Ⅲ)设动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2293f93791a597bf0162411f3395f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
2016-12-03更新
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14卷引用:四川省科学城第一中学2022-2023学年高二上学期期中考试理科数学试题
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