1 . 在平面直角坐标系
中,曲线
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,直线
的极坐标方程为
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)若直线
与曲线
交于
两点,与
轴交于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab076404059ac28e6f60f71a582582c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac5f0b04321e4dfdc67accc4146396c.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c1a099b4673fe2ae0f084beae1d0b2.png)
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2023-10-03更新
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4卷引用:陕西省商洛市部分学校2023-2024学年高三上学期10月阶段性测试(一)理科数学试题
名校
2 . 在直角坐标系xOy中,圆C的参数方程为
为参数),以O为极点,x轴正半轴为极轴建立极坐标系.
(1)求圆C的极坐标方程;
(2)AB是圆C上的两点,且∠AOB=
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb01cf0dbc9941a7e217eb13976c9cdd.png)
(1)求圆C的极坐标方程;
(2)AB是圆C上的两点,且∠AOB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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2023-05-25更新
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732次组卷
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6卷引用:贵州省凯里市第一中学2023届高三高考模拟预测数学(理)试题
3 . 在平面直角坐标系中,曲线
的参数方程为
(
为参数),以坐标原点为极点,
轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的普通方程,曲线
的直角坐标方程;
(2)设点
,曲线
,
的交点为A,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8ee294e94ce7c9f34efd91d0ab21c5.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/416c1727b11a625faef65dd4fd98ff17.png)
(1)求曲线
![](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/242dc4cf2720b503e26ec8017d31444f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9486e4e76ff07c6c47091e0e4b8bcd7d.png)
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2023-04-24更新
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4卷引用:内蒙古赤峰市2023届高三下学期二模数学试题(文)
4 . 在直角坐标系xOy中,曲线C的参数方程为
(t为参数).以坐标原点O为极点,x轴的正半轴为极轴,建立极坐标系,直线
的极坐标方程为
,直线
的极坐标方程为
.
(1)求C的极坐标方程;
(2)若直线
与C相交于A,B两点,P为直线
上的动点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c3cd7857f51a10ca4f05267135f207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6044e6dbbfae066d878949c0ae9123fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3861b8d993fdfd051f62e6b051df18de.png)
(1)求C的极坐标方程;
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
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2023-03-26更新
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8卷引用:广西2023届高三模拟考试数学(理)试题
广西2023届高三模拟考试数学(理)试题广西壮族自治区玉林市2023届高三二模数学(文)试题广西壮族自治区玉林市2023届高三二模数学(理)试题(已下线)专题20坐标系与参数方程(已下线)专题20坐标系与参数方程.西藏昌都市第一高级中学2023届高三高考全真仿真考试数学(理)试题(已下线)2024年全国高考名校名师联席命制数学(理)信息卷(十二)(已下线)2024年全国高考名校名师联席命制数学(文)信息卷(十二)
名校
5 . 在平面直角坐标系
中,直线
过定点
,倾斜角为
,曲线
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.
(1)求曲线
的极坐标方程;
(2)已知直线
交曲线
于
,
两点,且
,求
的参数方程.
![](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/521d2cbdff8483ebba708857163ef1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5f031fbe09d8ed7d451279f31eb595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a590e9035ff4ba3f2ccf9214973c8b16.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)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](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/f7636ff122494af9a0f735eccd117780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2021-01-21更新
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15卷引用:江西省吉安市2021届高三大联考数学(文)(3-2)试题
江西省吉安市2021届高三大联考数学(文)(3-2)试题江西省吉安市2021届高三大联考数学(理)(3-2)试题(已下线)专题29 坐标系与参数方程(解答题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题27 坐标系与参数方程(解答题)-2021年高考数学(文)二轮复习热点题型精选精练河南省焦作市2021届高三第三次大联考理科数学试题河南省焦作市2021届高三第三次大联考文科数学试题宁夏银川一中2021届高三下学期二模数学(文)试题宁夏海原县第一中学2021届高三四模数学(文)试题宁夏银川一中2021届高三下学期二模数学(理)试题宁夏海原县第一中学2021届高三四模数学(理)试题百强名校2021届高三5月模拟联考(A卷)理科数学试题百强名校2021届高三5月模拟联考文科数学试题(A卷)江西省上高二中2021届高三年级全真模拟考试数学(文)试题四川省成都市第七中学2024届高三上学期理科数学综合测试题四川省成都市石室天府中学2024届高三一诊模拟考试二数学(理)试题
6 . 在直角坐标系xOy中,直线l的参数方程为
(t为参数),曲线C的方程为
.以坐标原点为极点,x轴正半轴为极轴建立极坐标系,射线E的极坐标方程为
,
.
(1)求直线l的普通方程和曲线C的极坐标方程;
(2)若E与l交于点A,E与C交于点B,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39eff7bfac439d5193deeb2bd29be141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e04720ecc25ad8e71f2628c2ee0c674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d4e4a30f64d8ffccb3fb538ed91b4b.png)
(1)求直线l的普通方程和曲线C的极坐标方程;
(2)若E与l交于点A,E与C交于点B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eab337bf4e133918aa1af547411a2f1.png)
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2022-04-20更新
|
1593次组卷
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3卷引用:四川省绵阳市2022届高三第三次诊断性考试文科数学试卷
真题
7 . 已知曲线
,直线
(
为参数)
写出曲线
的参数方程,直线
的普通方程;
过曲线
上任意一点
作与
夹角为30°的直线,交
于点
,求
的最大值与最小值.
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/ba3597db5ef940ad8188d41b8c7f4da3.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/2c9404cbd7a746ef9fc9cc1f178c03fe.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/0e50d86034d8400a905a4690032c2cdf.png)
写出曲线
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/8c04583664484033a254e57e8a190262.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/6db0b5599c4040e39e9604bb499a6958.png)
过曲线
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/8c04583664484033a254e57e8a190262.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/1efb2d81b6b446a6921af492c2661586.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/6db0b5599c4040e39e9604bb499a6958.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/6db0b5599c4040e39e9604bb499a6958.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/c6e5c27e33fa48cd8abfb5f1f81c9bb5.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199513600/STEM/5e4cc94eee7d4873921977a47845703f.png)
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2019-01-30更新
|
8498次组卷
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3卷引用:2014年全国普通高等学校招生统一考试文科数学(新课标Ⅰ)
8 . 在直角坐标系
中,已知曲线
的参数方程为
(
为参数).
(1)写出曲线
的普通方程;
(2)设
为曲线
上的一点,将
绕原点
顺时针旋转
得到
.当
运动时,设点
的轨迹是
,求曲线
的直角坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ebe6d0c8372c3f4cf143fa01a5f9d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4731335d26e45bf7041b36c5f0a1121d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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2024-03-07更新
|
661次组卷
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4卷引用:内蒙古赤峰市2023~2024学年高三上学期1.30模拟文科数学试题
2023·新疆·模拟预测
9 . 在直角坐标系xOy中,曲线C的参数方程为
(t为参数),以坐标原点为极点,x轴正半轴为极轴建立极坐标系,直线l的极坐标方程为
.
(1)写出直线l的直角坐标方程;
(2)设曲线C与x轴的交点为A,B(点A在点B的左侧),若直线l上存在点M,满足
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0484f85454a1f4969b534d06f72857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eff8cba80a5e8c641020c74444ece3c.png)
(1)写出直线l的直角坐标方程;
(2)设曲线C与x轴的交点为A,B(点A在点B的左侧),若直线l上存在点M,满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3c8d44803d79c249ebc1f791e337bf.png)
您最近一年使用:0次
10 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以坐标原点
为极点,x轴正半轴为极轴,建立极坐标系.曲线C的极坐标方程为
.
(1)求曲线C的直角坐标方程和直线
的一般方程;
(2)设直线
与曲线C交于A,B两点,求
面积的最大值.
![](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/88bf8a4f914a88ee917ab45b823dd6de.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/7f34ad37ee24b2a380d2310c54316067.png)
(1)求曲线C的直角坐标方程和直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-19更新
|
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4卷引用:陕西省咸阳市2024届高三下学期高考模拟检测(二)数学(文科)试题