1 . 在极坐标系中,曲线C的方程为
,以极点O为直角坐标系的原点,极轴为x轴的正半轴,建立直角坐标系xOy,设
为曲线C上一动点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf07cbfdfb30be42ff15e893d44971b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee76db689811b479e5b2f0dd01bc286.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 已知
椭圆
的左右焦点,
,
是椭圆上的动点,则
的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763113a1fc48e8acc83787b8cd24eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefcdabb1ab964f7c9c4b93632122b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094759160a099e27d163127815822206.png)
A.4 | B.![]() | C.5 | D.![]() |
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2018-12-24更新
|
846次组卷
|
4卷引用:重庆市沙坪坝区南开中学2018-2019学年高二上学期期中考试数学(理)试题
重庆市沙坪坝区南开中学2018-2019学年高二上学期期中考试数学(理)试题【全国百强校】福建师范大学附属中学2018-2019学年高二上学期期末考试数学(理)试题(已下线)第05章+椭圆(B卷提升卷)-2020-2021学年高二数学上学期同步单元AB卷(苏教版,新课改地区专用)(已下线)第3章 椭圆方程及性质(B卷·提升能力)-2021-2022学年高二数学同步单元AB卷(苏教版2019选择性必修第一册)【学科网名师堂】
3 . 已知椭圆的参数方程为
(
为参数),点
在椭圆上,其对应的参数
,点
为原点,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa5de53a64daa1a82b6a72e130072c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d437140d9efb7165512a2c798dabffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 在直角坐标系
中,若直线
:
(
为参数)过椭圆
:
(
为参数)的左顶点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226216d4857ce86ba3fc6571b0fb3b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edcce77501be4155a510a59a1c062a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),在以
为极点,
轴的非负半轴为极轴的极坐标系中,曲线
是圆心为
,半径为1的圆,设
为曲线
上的点,
为曲线
上的点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0163a6460d2f5e04753e719145e1ae5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b4444b4b64ae328919a8ca2b83eca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-08-17更新
|
402次组卷
|
3卷引用:陕西省西安市西北工业大学附属中学2019-2020学年高二下学期5月月考数学(文)试题
名校
6 . 已知椭圆
的离心率
为椭圆
上的一个动点,则
与定点
连线距离的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd48246c026c604accd15e81f44bf27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c59ff35174469b74c96213ba6d2a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-04-10更新
|
632次组卷
|
3卷引用:【全国百强校】黑龙江省哈尔滨市第六中学2018-2019学年高二4月月考数学(文)试题
7 . 已知
为曲线
(
为参数,
)上一点,
为原点,直线
的倾斜角为
,则
点的坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4934bb9580e1b63d4eccc8189070c4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5f7a23e86cc1faf56c1c0e8bbf231e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2019-07-04更新
|
586次组卷
|
3卷引用:人教A版 全能练习 选修4-4 第二讲 第二单元 1.椭圆的参数方程
名校
解题方法
8 . 记椭圆
围成的区域(含边界)为
,当点
分别在
,
,…上时
的最大值分别是
,
,…,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e6d22012cf610b752b8ef7c6115685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5079ece282937288c8835b42148ee98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df2ae3a092acc4ed595dea31ea66bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42b6abf0d716fc2c59e1ea2476286ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8e0fdcc5ee4dfe456e8853f1f6f858.png)
A.2 | B.4 |
C.3 | D.![]() |
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2021-08-09更新
|
264次组卷
|
7卷引用:2020届上海市青浦区高三二模数学试题
2020届上海市青浦区高三二模数学试题(已下线)重难点12 选考系列(参数方程与不等式)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)2021年高考数学押题预测卷(上海专用)01上海市卢湾高级中学2021届高三下学期5月月考数学试题(已下线)考向10 三角恒等变换-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)考点52 坐标系与参数方程-备战2022年高考数学(理)一轮复习考点帮(已下线)考向31 坐标系与参数方程-备战2022年高考数学一轮复习考点微专题(上海专用)
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9 . 已知实数x,y满足
,则
的最小值等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9790978bf60647585ab1993a30398ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb34a6b4cf5841b47a11f1b034974fe.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 设椭圆C:
上的一点P到两条直线
和
的距离分别是
,
,则
的最小值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39db2a2b174b1b60c477ea47b0305853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0be09ce9e5037da82d1bef730b2e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f682a71ba344f68db99e594acadff79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2ec2cccb424df49c89a1348ad6f285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdcfb8804ad9c77ffc2fc91eeb4d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efccfedd1647ecd6e016e6a77e7aae50.png)
A.5 | B.6 | C.7 | D.8 |
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