名校
1 . 在直角坐标系
中,直线
的参数方程为
(
为参数),以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf89e94eb51129f144d9809ec290f7.png)
(1)求曲线
的直角坐标方程
(2)已知点
的直角坐标为
,
与曲线
交于
两点,求
![](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/39894a22c1ef467bc1163c01834dfaad.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cf89e94eb51129f144d9809ec290f7.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](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/3979f27823cdcba516dfa885d8afe19d.png)
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2021-04-01更新
|
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17卷引用:甘肃省兰州市第二十七中学2021届高三第六次月考数学(文)试题
甘肃省兰州市第二十七中学2021届高三第六次月考数学(文)试题吉林省吉林市普通中学2020-2021学年高三第三次调研测试理科数学试试题吉林省吉林市普通中学2020-2021学年高三第三次调研测试文科数学试题(已下线)2021年高考数学(理)押题预测卷(新课标III卷)02吉林省吉林市2021届高三三模数学(文)试题吉林省吉林市2021届高三三模数学(文)试题云南省峨山彝族自治县第一中学2021届高三三模数学(文)试题(已下线)押第22题 极坐标与参数方程-备战2021年高考数学(文)临考题号押题(全国卷2)四川省绵阳市江油中学2020-2021学年高二下学期期中数学(文)试题河南省名校联盟2021-2022学年高三下学期第二次模拟理科数学试题河南省名校联盟2021-2022学年高三下学期第二次模拟文科数学试题河南省示范性高中2022届高三下学期阶段性模拟联考二文科数学试题江西师范大学附属中学2022届高三5月三模数学(文)试题黑龙江省哈尔滨市第七十三中学校2020-2021学年高二下学期期中考试数学(文)试题内蒙古2022-2023学年高三上学期10月大联考数学(文科)试题宁夏吴忠市吴忠中学2022-2023学年高二下学期期末考试数学(文)试题内蒙古赤峰实验中学2023届高三上学期10月月考数学(文)试题
名校
2 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),直线
.以坐标原点为极点,
轴的正半轴为极轴建立极坐标系.
(1)写出曲线
的普通方程及直线
的极坐标方程;
(2)直线
与曲线
和直线
分别交于
,
(
,
均异于点
)两点,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab39c35776f7ed99ad53692be62e89c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
的取值范围.
![](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/08d23ec947f1baa06658720b2720d927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768c20e228f4cbd59e4280ff4f9b2cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff29157e751d3afed4c105f8f6582d7.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab39c35776f7ed99ad53692be62e89c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81624428c476e542e9319f16d003584b.png)
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2021-03-23更新
|
1956次组卷
|
9卷引用:甘肃省兰州市外国语高级中学2022-2023学年高三上学期第二次月考文科数学试题
2021·辽宁·一模
名校
解题方法
3 . 在中面直角坐标系
中,曲线
的参数方程为
(
为参数),以原点为极点,
轴非负半轴为极轴建立极坐标系,射线:
与曲线
交于点
,将射线
绕极点逆时针方向旋转
交曲线
于点
.
(1)求曲线
的极坐标方程;
(2)求
面积的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd2ecd1c7ff6fa0da7c7f001770f6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c590ce697d99ec61819a7e6b489931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e52102e8e965c03188326b3eb7b94d.png)
您最近一年使用:0次
2021-03-06更新
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1525次组卷
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7卷引用:甘肃省兰州市第一中学2021-2022学年高三上学期11月防疫居家阶段检测数学(理科)试题
甘肃省兰州市第一中学2021-2022学年高三上学期11月防疫居家阶段检测数学(理科)试题(已下线)东北三省三校(哈师大附中 东北师大附中 辽宁省实验中学 )2020-2021学年高三下学期第一次联合模拟考试文科数学试题2021年东北三校(哈师大附中、东师大附中、辽宁省实验)高三第一次联合模拟考试理科数学试卷(已下线)专题36 仿真模拟卷02-2021年高考数学(理)二轮复习热点题型精选精练(已下线)解密21 坐标系与参数方程(分层训练)-【高频考点解密】2021年高考数学(文)二轮复习讲义+分层训练(已下线)解密23 坐标系与参数方程(分层训练)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练(已下线)押第22题 极坐标与参数方程-备战2021年高考数学(理)临考题号押题(全国卷2)
名校
4 . 在极坐标系中,点
到直线
的距离为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a534c7083fdb783220db8a9df40d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fb575489700e3235f669cab647d60b.png)
您最近一年使用:0次
2020-07-24更新
|
416次组卷
|
3卷引用:甘肃省兰州市外国语高级中学2022-2023学年高三上学期第二次月考文科数学试题
5 . 在平面直角坐标系
中,曲线
的方程为
,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,直线
的极坐标方程为
,
与
交于
两点.
(1)求
的直角坐标方程和
的一个参数方程;
(2)若点
是
上的动点,求
面积的最大值.
![](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/d80b861ba40387cb2bcd04945f5a371a.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/05d0b223e3c800192b7778e6d0c4e5a0.png)
![](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/7789a500686c7a73770404ead6af0590.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0023c9e8e0fec24d3aa77d09b2e4e62.png)
您最近一年使用:0次
2020-07-23更新
|
362次组卷
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4卷引用:甘肃省兰州大学附属中学2020-2021学年高三上学期12月月考数学理科试题
名校
解题方法
6 . 在平面直角坐标系
中,已知曲线
(
为参数),以原点
为极点,
轴正半轴为极轴建立极坐标系,直线
的极坐标方程
,点
在直线
上,直线
与曲线
交于
两点.
(1)求曲线
的普通方程及直线
的参数方程;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37705beed3ba2a9c850cb44ba0d969f8.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc594cde0fe39694905028fffca07a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcbfeccbe294c4fbb586b54662ae34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](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)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次
2020-06-08更新
|
792次组卷
|
4卷引用:甘肃省西北师大附中2020届高三5月模拟试卷 文科数学试题
名校
7 . 在直角坐标系
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,直线
的极坐标方程为
.
(1)若直线
与曲线
至多只有一个公共点,求实数
的取值范围;
(2)若直线
与曲线
相交于
,
两点,且
,
的中点为
,求点
的轨迹方程.
![](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/bf648e35db861ebc00744b6625a559f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/d2b1924f07608f5f2dd9b0e9d08e1a7e.png)
(1)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/294f5ba74cdf695fc9a8a8e52f421328.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/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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-04-24更新
|
303次组卷
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4卷引用:甘肃省兰大附中2020届高三5月月考数学(理科)试题
名校
8 . 直线
与曲线
相交,则
满足的条件是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a94b2716c56f449246c6ff3653ec9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dc2c09a9d082bf57a554a023a22096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
您最近一年使用:0次
2020-03-21更新
|
663次组卷
|
4卷引用:【全国百强校】甘肃省兰州第一中学2018-2019学年高二3月月考数学(文)试题
9 . 在直角坐标系
中,直线
的参数方程为
(
为参数),以原点
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
.
(Ⅰ)写出直线
的普通方程和曲线
的直角坐标方程;
(Ⅱ)已知点
,直线
与曲线
相交于点
,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/d6c4b959f8985741f4239befcc77b906.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/84a0261097cacff1aa3d62db4b13fd87.png)
(Ⅰ)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c5e4878d452ae6ded0128d88b06fa77.png)
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff207928e978a610136a012d20be650.png)
您最近一年使用:0次
2020-03-17更新
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825次组卷
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4卷引用:甘肃省西北师大附中2020届高三5月模拟试卷理科数学试题
名校
10 . 在直角坐标系xOy中,直线
的参数方程为
其中t为参数,
为直线
的倾斜角,以坐标原点为极点,x轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,曲线
与曲线
相交于A,B两点.
(1)当
时,求
的普通方程;
(2)当
变化时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c350aa306108c221635f8e015ceff698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.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/231fb9bd17226f3d0b219b460e22a177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4120436d6ff0c58109473edc068257c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次