1 . 以平面直角坐标系中的坐标原点为极点,
轴的正半抽为极轴,建立极坐标系,曲线
的极坐标方程是
,直线
的参数方程是
(
为参数).
(1)求曲线
的直角坐标方程;
(2)若直线
与曲线
交于
、
两点,且
,求直线
的倾斜角
.
![](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/af945db69d4ce3e341305220b3208d91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f2415d0cfa0236b948e4ce59e8aa09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b0c139cda1dee4783eb642dcf45526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2019-12-16更新
|
446次组卷
|
2卷引用:2019年11月中学生标准学术能力诊断性测试测试文科数学试题(一卷)
2 . 在极坐标系中,圆心为
,且过极点的圆的方程是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30c7cb488a12b37aaa18c857e84dd35f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 在极坐标系中,圆心为
且过极点的圆的极坐标方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bace556de6191e2e3277f7772f7c3947.png)
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2018-04-04更新
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4 . 在极坐标系中
,方程
表示的圆为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-01-25更新
|
966次组卷
|
2卷引用:北京市海淀区2018届高三第一学期期末理科数学试题
5 . 极坐标系下,方程
与方程
表示的曲线的公共点个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c69ea6649ed76181a89487dabe718a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f917a2022014d9c19c29eeac84c74e2f.png)
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真题
6 . 圆的半径是1,圆心的极坐标是
,则这个圆的极坐标方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-07-12更新
|
574次组卷
|
2卷引用:北京昌平临川育人学校2016-2017学年高二下学期期末考试数学(理)试题
7 . 直线
被圆
所截得的弦长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6cda1c5ca3283df2ecbfc0b1a202a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094ab3a9f3a40f6fc88a4184371dc745.png)
A.1 | B.![]() | C.2 | D.4 |
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8 . 在极坐标系中,直线
与圆
相切,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951053e4435fa20001c218acd060c863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8617ac2b2a49a2eaf5d3a19fbe922f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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9 . 在极坐标系中,已知点A是以
为圆心,
为半径的圆上的点,那么点A到极点的最大距离是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2137436455816a17f748acd06e7eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
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10 . 在平面直角坐标系
中,曲线
,曲线
(
为参数),过原点O的直线l分别交
,
于
,
两点,则
的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0eb5a69a211e3ee192905b34f43995c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34be5c1d40940150e35b033aa97c2d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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/2b2ffb33c9819c06c2d53487373a777b.png)
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