名校
1 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以原点
为极点,
轴的正半轴为极轴建立极坐标系,已知圆
经过极点,且其圆心的极坐标为
.
(1)求圆
的极坐标方程;
(2)若射线
分别与圆
和直线
交于点
,
(点
异于坐标原点
),求线段
的长.
![](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/986e45c1a048bcb3e2a4a6efb6e8a582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94869ae8f4e594e8a38a5549006f444d.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3372821f274d9c2e7c9f911bd5cf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2019-10-12更新
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3卷引用:重庆市第一中学2018-2019学年高二下学期期末数学(理)试题
2 . 极坐标方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124b31650346550eef5897b5ed129006.png)
表示的图形是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124b31650346550eef5897b5ed129006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc6cc6899922a0b6fed83676c1d2ffa.png)
A.一个圆和一条射线 | B.一个圆和一条直线 |
C.两个圆 | D.一条直线和一条射线 |
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2019-08-20更新
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739次组卷
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8卷引用:2013-2014学年山西省广灵第一中学高二下学期期末考试文科数学试卷
(已下线)2013-2014学年山西省广灵第一中学高二下学期期末考试文科数学试卷(已下线)2013-2014学年山西省广灵一中高二下学期期末考试文科数学试卷2014-2015学年河北省保定市高阳中学高二3月月考文科数学试卷【全国百强校】宁夏回族自治区银川一中2018-2019高二下学期期中考试文科数学试题陕西省西安中学2018-2019学年高二下学期期末数学(文)试题新疆奎屯市第一高级中学2018-2019学年高二下学期第二次月数学(文)试题广西天等中学2019-2020学年高二上学期期中考试数学理科试题广西天等县高级中学2019-2020学年高二下学期期中考试数学(理)试题
3 . 极坐标系内,点
到直线
的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f79dc1f0d81fec84527c95246c0c6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d992d70f08aa87aa83bafa65fde6d8.png)
A.1 | B.2 | C.3 | D.4 |
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2019-07-25更新
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2卷引用:河北省邢台市第八中学2018-2019学年高二下学期期末数学(文)试题
4 . 在极坐标系中,曲线
被直线
所截得的弦长为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22fae16bd3b560d7b4162fa974616c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fc45ef428d2de0bf23b66d0e7dc2f4.png)
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2019-07-12更新
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627次组卷
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3卷引用:福建省泉州市普通高中2018-2019学年高二下学期期末数学试题
名校
5 . 在极坐标系中,已知点
,则过点
且平行于极轴的直线的方程是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a6e70ca48042ec4e19676561c68151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2019-07-09更新
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653次组卷
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4卷引用:陕西省西安市新城区西安中学2018-2019学年高二下学期期末数学试题
名校
6 . 在平面直角坐标系
中,直线
的普通方程为
,曲线
的参数方程为
(
为参数),以
为极点,
轴的正半轴为极轴建立极坐标系.
(Ⅰ)求直线
的参数方程和极坐标方程;
(Ⅱ)设直线
与曲线
相交于
两点,求
的值.
![](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/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b9bf0eb6246a31295503b959471b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)设直线
![](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/400acd92ae7a90f4aeb15ce06677b42a.png)
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2019-07-01更新
|
998次组卷
|
3卷引用:江西省九江市2018-2019学年高二下学期期末数学(理)试题
7 . 在平面直角坐标系
中,直线
的普通方程为
,曲线
的参数方程为
(
为参数),以
为极点,
轴的正半轴为极轴建立极坐标系.
(Ⅰ)求直线
的参数方程和极坐标方程;
(Ⅱ)设直线
与曲线
相交于
两点,求
的值.
![](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/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67b9bf0eb6246a31295503b959471b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅱ)设直线
![](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/f662756a3c4cbbc8868adbfed6b1f44f.png)
您最近一年使用:0次
名校
8 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),在以坐标原点为极点,
轴的正半轴为极轴的极坐标系中,曲线
的极坐标方程为
.
(1)求
的极坐标方程与
的直角坐标方程;
(2)设点
的极坐标为
,
与
相交于
两点,求
的面积.
![](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/4ff8a5fc39da1b3d43b3a9873b970801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.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/3c61957c73cc4e1d76be63babdb46dc0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7126e595ea4d5864c32e086b872f26e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53502463cc76201000e02df314e58769.png)
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2019-02-12更新
|
922次组卷
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4卷引用:【全国百强校】江西省南昌市第十中学2018-2019学年高二上学期期末考试数学(文)试题
12-13高二·浙江宁波·期中
解题方法
9 . 在极坐标系中,曲线
,曲线
,若曲线
与
交于
、
两点,则线段
的长度为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd6c0f36bc7d4fc026c6e844c129c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc195dbd7e4744378e5a700dde04b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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9-10高二下·新疆·阶段练习
10 . 已知曲线C的极坐标方程 是
=1,以极点为原点,极轴为
轴的正半轴建立平面直角坐标系,直线
的参数方程为
为参数).
(1)写出直线
与曲线C的直角坐标方程;
(2)设曲线C经过伸缩变换
得到曲线
,设曲线
上任一点为
,求
的最小值.
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/457d2265bb3d40ebbf12e812ab0e07f0.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/73ede57f3a3c4903aa7a4224fd92456d.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/07e752903acf4022b57e3bd5b5e9926a.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/6162c1e9931d47b8863c6802613ecb40.png)
(1)写出直线
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/07e752903acf4022b57e3bd5b5e9926a.png)
(2)设曲线C经过伸缩变换
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/946c2eb1c82f4050986a8aa9d9fb5b81.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/58de27b8140543f3a146b6798ef51f5d.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/58de27b8140543f3a146b6798ef51f5d.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/bab8e6ba59714b84b46393fb012f4a6a.png)
![](https://img.xkw.com/dksih/QBM/2013/4/11/1571183264227328/1571183269707776/STEM/fe77b276acdf4136838b2d2578a4313f.png)
您最近一年使用:0次
2019-01-30更新
|
1029次组卷
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5卷引用:2010年新疆农七师高级中学高二第二学期第二阶段考试数学(文)试题
(已下线)2010年新疆农七师高级中学高二第二学期第二阶段考试数学(文)试题(已下线)2012届黑龙江省大庆铁人中高三第一学期期末考试理科数学2015届黑龙江省哈尔滨六中高三下学期第四次模拟理科数学试卷2015届黑龙江省哈尔滨六中高三下学期第四次模拟文科数学试卷2016届江西师大附中高三上学期期末理科数学试卷