解题方法
1 . 已知椭圆C:
(
)左、右焦点分别为
、
,过
且倾斜角为60°的直线
与过
的直线
交于A点,点A在椭圆上,且
.则椭圆C的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859b04476d9a79f7373787803b67b199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
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2022-11-18更新
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744次组卷
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4卷引用:贵州省贵阳清镇北大培文学校2022-2023学年高二上学期期中考试数学试题
2 . 在平面坐标系中,动点P和点
满足
,则动点
的轨迹方程为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7731982669fc878356d57ac068e925a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d672de8d771480ba543e16bd019fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
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2022-11-15更新
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1084次组卷
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9卷引用:贵州省遵义市仁怀市仁怀六中2023-2024学年高二上学期期中数学试题
贵州省遵义市仁怀市仁怀六中2023-2024学年高二上学期期中数学试题四川省绵阳南山中学2022-2023学年高二上学期期中考试理科数学试题(已下线)第07讲 抛物线 (高频考点,精讲)3.3.1 抛物线的标准方程(同步练习基础篇)(已下线)3.3 抛物线(精讲)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)(已下线)第07讲 抛物线及其性质(六大题型)(讲义)(已下线)3.3.1 抛物线及其标准方程(5大题型)精讲-【题型分类归纳】2023-2024学年高二数学同步讲与练(人教A版2019选择性必修第一册)(已下线)专题24 抛物线的标准方程4种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)(已下线)通关练17 抛物线8考点精练(2)
3 . 已知
,
是椭圆
的两个焦点,点
在椭圆
上,且
是等边三角形,则椭圆
的方程可能为( )
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f9a699aededce0ad803bf8257fbbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知椭圆
的左焦点为
,右顶点为
,点
在椭圆上,且
轴,直线
与
轴交于点
,若
,则椭圆的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ce9cb2a356503a970d6466c75b564c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76876c9240ac659a5d9c38438a20247.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . “一元二次方程
有实数解”的必要不充分条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437bceb596deddba816acf6e44e2d2ee.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-11-12更新
|
665次组卷
|
6卷引用:贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题
名校
6 . 已知集合M={
│
}, N={
│
},则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118b964bf1e90b069d087e95737b113b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85d071547ff5f304ebc96feb31f8892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca06304795e9c2c1fd0b4a52eb8d5b9.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分以不必要条件 |
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2022-11-12更新
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2卷引用:贵州省铜仁市沿河民族中学2022-2023学年高一上学期期中测试数学试题
7 . 在平面直角坐标系
中,已知点
,点
的轨迹为
.
(1)求
的方程;
(2)过点
且倾斜角为
的直线
与
交于
两点,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953afc6e0c3aab263871e4387bd51830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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5卷引用:贵州省2022-2023学年高二上学期期中联合考试数学试题
名校
8 . 若直线
与曲线
相切,则切点的坐标为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a7108d77b8ad681a6b7573ecac0406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
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3卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(理)试题
名校
9 . 已知函数
在
处取得极值2.
(1)求
的值;
(2)若方程
有三个相异实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e2b678c49af9075af7b51891394f797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f0ab17df4c09a0443e6a4633041cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d00d64b2ace0c059b256161c3c4c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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5卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题
10 . 已知
,则曲线
在
处的切线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
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3卷引用:贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题
贵州省遵义市2023届高三上学期第一次统一考试数学(文)试题上海市奉贤区2022-2023学年高二下学期期末数学试题(已下线)专题02 导数及其应用(八大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)