1 . 点
为极坐标系中的一点,给出如下各点的坐标:①
;②
;③
;④
.其中可以作为点
关于极点的对称点的坐标的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adc55b3ddd4eb6a59833882cd7f2f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871534be7754c5aa0e44b3883b0781db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28bf791b7ef8491139a6a4d32342c670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b93df54612e3a2e5944e9b7c0776f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186fd5251950f62ccba1402ede4f9145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.①② | B.①③ | C.②③ | D.②④ |
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2 . 极坐标系中,点
与点
,
表示同一个点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4543c0de8edf386b7a4b005fea2bbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1bd50946a22b0ee4dab28ecda2df42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f687593cb4ecef31667bf2320fdfe000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
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3 . 在极坐标系中,直线
的极坐标方程为
,M是
上任意一点,点P在射线OM上,且满足
,记点P的轨迹为
.则曲线
的极坐标方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ef48f49822d0eabac3bcf416946338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc693ff519f8db2afe99bb220eb431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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4 . 极坐标系中一点A的极坐标为
,则点A到极点的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97fe88412da03cc114f2250593293217.png)
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5 . 在极坐标系中,动点
从
出发,沿极轴
方向做匀速直线运动,速度为
,同时极轴
绕极点
按逆时针方向做等角速度旋转,角速度为
.则动点
的极坐标方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f50eb5fca7d0cd367d616742161a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d789eb81c3f3e241ba54e003f1659fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d99ef937823db2d4d3b1ae5af609eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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6 . 在极坐标系中,分别作出下列各点,并说明这些点有什么关系?
(1)
、
、
、
、
;
(2)
、
、
、
、
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26b6ea70eebe4b44915dfad6ddd5c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0afd749269a8021d17a0ea5fbbab0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed038f262b190896377860da3826fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0af7c7ee940ad355c24b21749dcf0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c90873031ebc847195d0ea8e1f4e57.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92e4d44c7391872cf29cc706168f86f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f92078c945d62f2ab38f82abb2b4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef18b36f7ef0651860ca0b67b2eb5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112327cf24331337b8021f5351e11847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff82b208f7bbb9ec3443097b8c290998.png)
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7 . 如图,在极坐标下,点P的极坐标为______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/7/db3ecd08-736d-4b18-8a9b-c8b59620bff9.png?resizew=149)
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8 . 在极坐标系中,与点
关于极点对称的点的一个坐标是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b055a92a4c8616d4a9a4791109e7d3e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-11更新
|
169次组卷
|
4卷引用:陕西省咸阳市实验中学2021-2022学年高二下学期阶段性检测(一)数学(理)试题
9 . 以直角坐标系的原点O为极点,x轴的非负半轴为极轴,建立极坐标系,并在两种坐标系中取相同的长度单位.已知圆
和圆
的极坐标方程分别是
和
.
(1)求圆
和圆
的公共弦所在直线的直角坐标方程;
(2)若射线
与圆
的交点为P,与圆
的交点为Q,求
的值.
![](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/3cda90ec15c07139032c7fed43bcc385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81784bde0cc3caede02152279b623c4.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/6bab77b1212086d7b16e288f73a09560.png)
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2022-07-15更新
|
596次组卷
|
3卷引用:四川省凉山彝族自治州2021-2022学年高二下学期期末数学(文)试题
10 . 在平面直角坐标系xOy中,以原点O为极点,Ox为极轴建立极坐标系,曲线
上两点A、B对应的极角分别为
、
,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dc2c09a9d082bf57a554a023a22096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203d236c53db2cbcbe00b7ffe5fe57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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