23-24高二上·上海·课后作业
解题方法
1 . 已知直线
与椭圆
相交于不同两点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5818c55ba69b39e884cac10262ddad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279cefeb5c389a37a71e5fd3925f5954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
2 . 已知椭圆E的方程为
右焦点为
,直线
的倾斜角为
直线
与圆
相切于点Q,且点Q在
轴右侧,设直线
交椭圆E于两个不同点A、B.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/41cf9755-2f1a-48ae-aaf3-d5d68fd49c67.png?resizew=191)
(1)求直线
的方程;
(2)求△ABF的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412e1cd1477909974e6db5a8841e6758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8727480c1bee756b95cece8f18527cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/41cf9755-2f1a-48ae-aaf3-d5d68fd49c67.png?resizew=191)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求△ABF的面积.
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2019-11-09更新
|
1535次组卷
|
3卷引用:上海市向明中学2018-2019学年高二下学期期中数学试题
上海市向明中学2018-2019学年高二下学期期中数学试题湖北省武汉市新洲区第三中学2020-2021学年高二上学期10月月考数学试题(已下线)重难点01:直线与椭圆的位置关系(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)
3 . 已知向量
,且
,点
.
(1)求点
的轨迹方程
;
(2)过点
且以
为方向向量的一条直线与轨迹方程
相交于点
两点,
,
所在的直线的斜率分别是
,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6bcc1e6a17d38efbad1faa397d4788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5020fa479f8b4dcdced1ffda847b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093773efeb2f5c605b3a52b118be0c75.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67300207553ae70b997bde84ca730cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58f5a177ad59d38109577be98bbebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3809092a280827351a53b03abe3a5e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe37b51fc219fed2b6677f606c9e3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e44c7d6312e270a7836f31ecdb4f143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fc833e2883282b72bee73aec4651ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ed520efb18178dae52e36a92280b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b775af4282236262df6c56ab40bd0e5.png)
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12-13高三上·上海宝山·期末
4 . 已知椭圆的焦点
,
过作垂直于
轴的直线被椭圆所截线段长为
,过
作直线
与椭圆交于
两点.
(1)求椭圆的标准方程;
(2)若A是椭圆与y轴负半轴的交点,求
的面积;
(3)是否存在实数
使
,若存在,求
的值和直线
的方程;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2525ae889f8fa14cc0845a8579784b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e902dac65abbac92e5451d68e186ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
(1)求椭圆的标准方程;
(2)若A是椭圆与y轴负半轴的交点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d4ac1cc6fffde4cece95f1991e15488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/2012/1/28/1570701513695232/1570701519151104/STEM/6a02ebca96464062ab74d43ec657469d.png?resizew=404)
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