名校
1 . 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,
轴非负半轴为极轴建立极坐标系,点
为曲线
上的动点,点
在线段
的延长线上且满足
点
的轨迹为
.
(1)求曲线
的极坐标方程;
(2)设点
的极坐标为
,求
面积的最小值.
![](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/554c5bcc59bed189369f1c3caa0ef892.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12df24513359523bca4d9f1926f051b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c22b1e5f86598a830d503d0746f81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4201d3bead2e48cc80052b1418f23db9.png)
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2020-06-13更新
|
2780次组卷
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14卷引用:吉林省长春市2020届高三质量监测(四模)数学(理科)试题
吉林省长春市2020届高三质量监测(四模)数学(理科)试题广西南宁三中2019-2020学年下学期高二期末考试(重点班)文科数学试题广西南宁三中2019-2020学年下学期高二期末考试(重点班)理科数学试题宁夏石嘴山市2021届高三下学期三模数学(文)试题陕西省西安铁一中滨河高级中学2021-2022学年高三上学期学情调查(六)理科数学试题(已下线)第01讲 极坐标与参数方程(练)河南省新乡市河南师大附中实验学校2021-2022学年高二下学期6月月考数学(文)试题江西省吉安市泰和县2023届高三第一次模考数学(文)试题江西省吉安市泰和县2023届高三第一次模考数学(理)试题四川省宜宾市叙州区第一中学校2022-2023学年高二下学期期末考试数学(文)试题四川省宜宾市叙州区第一中学校2022-2023学年高二下学期期末考试数学(理)试题四川省泸县第一中学2022-2023学年高二下学期第二学月考理科数学试题四川省泸县第一中学2022-2023学年高二下学期第二学月月考文科数学试题江西省吉安市泰和县第二中学2023届高三第一次模考数学(理)试题
名校
2 . 在极坐标系中,曲线
上的两点
对应的极角分别为
,则弦长
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507dd7201fcb2dae12ac960470313277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72229b08c676c08a3c7258895375f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebaa675c02652dd012309fa319d3027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526253844494fed86429e1390505e0db.png)
A.1 | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2020-06-04更新
|
397次组卷
|
6卷引用:吉林省白城市通榆县第一中学2019-2020学年高二下学期第三次月考(5月)数学(文)试题
3 . 在平面直角坐标系
中,以坐标原点为极点,
轴的非负半轴为极轴且取相同的单位长度建立极坐标系.直线
的参数方程为
(
为参数),圆
的参数方程为
(
为参数).
(1)写出直线
的普通方程和圆
的极坐标方程;
(2)已知点
,直线
与圆
交于
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.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/6095af4a137b2328ce22ba39565f30c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5e1a55579ca43d6fb75a93ad2237d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a29ba49963134a7232fa8574105fc3.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7d14d26fbf267f4b59b42f494374be.png)
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2020-05-18更新
|
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7卷引用:吉林省四平市公主岭市范家屯镇第一中学两校联考2021届高三上学期期末数学(理)试题
名校
4 . 在极坐标系中,曲线
的焦点的极坐标___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c0582d65c8fb795a10588b3bfc219d.png)
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2020-05-12更新
|
241次组卷
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3卷引用:吉林省白城市洮南市第一中学2019-2020学年高二第二次月考数学(文科)试卷
名校
5 . 在直角坐标系
中,曲线
(
为参数),其中
.在以
为极点,
轴正半轴为极轴的极坐标系中,曲线
.
(1)求
的普通方程和
的直角坐标方程;
(2)若
与
相交于点
两点,点
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ceb97860e1f64884a205a2835cc9949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6b60aec15207d0c144c94f2ec428c2.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/01e88123b8ae80a4d6fd988b0e06f667.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若
![](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/ae104d6d67d114b588a5680b124b0e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
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2020-05-08更新
|
1192次组卷
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5卷引用:吉林省辽源市友好学校第七十届2020-2021学年高二上学期期末联考数学(理)试题
6 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数,
),在以坐标原点为极点,
轴正半轴为极轴的极坐标系中,曲线
的极坐标方程为
.
(1)求曲线
的直角坐标方程;
(2)设点
的坐标为
,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/d0c35d15c37f54ec2d1643459d3c4679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.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/a45d1bff285b23d99db3225541823be0.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5026e1d5fcf2498b2e5ec5da4e0b11b2.png)
您最近一年使用:0次
2020-05-01更新
|
472次组卷
|
7卷引用:吉林省通榆县第一中学2020-2021学年高三上学期第二次月考数学(文科)试题
7 . 已知直线
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
.
(1)写出直线
的普通方程和曲线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交于点
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bbfe11a4f8314c3d9e1686324f8679.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/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)写出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6951479694aec937a712901634a5a4b.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
2020-04-22更新
|
1389次组卷
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5卷引用:吉林省长春市农安县五校联考2020-2021学年高二上学期期末考试数学(理)A卷试题
名校
8 . 在平面直角坐标系
中,已知直线
(
为参数),以坐标原点
为极点,
轴的非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求曲线
的直角坐标方程;
(2)设点
的极坐标为
,直线
与曲线
的交点为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66936b1969bbef8ea39de59a5a194596.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/9e0cb878349009a779d94b1bc40319bb.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f79dc1f0d81fec84527c95246c0c6ab.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/6e255cb6ef5a18b9e800397c55a81bf9.png)
您最近一年使用:0次
2020-04-11更新
|
388次组卷
|
4卷引用:吉林省实验中学2022-2023学年高三上学期期末数学试题
9 . 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,直线
的极坐标方程为
.
(Ⅰ)求直线
的直角坐标方程与曲线
的普通方程;
(Ⅱ)已知点
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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361cb2f2aeb342deea67c1425836d652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.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/33667f26803a7ef8e58cafbec8a6fb8f.png)
(Ⅰ)求直线
![](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/e70af9d3306310cc56075bcca8609084.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/77684b3856f797403b2040c5dc73c2ce.png)
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2020-04-09更新
|
1179次组卷
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6卷引用:吉林省长春市八中2020届高三第二次诊断性检测数学(理)试题
吉林省长春市八中2020届高三第二次诊断性检测数学(理)试题2020届四川省成都市高三第二次诊断性检测文科数学试题2020届四川省成都市高三第二次诊断性检测理科数学试题(已下线)调研测试五(B卷 滚动提升检测)-2021年高考数学(理)一轮复习单元滚动双测卷河北省唐山市第一中学2020-2021学年高二上学期第二次阶段性测试数学试题江西省丰城中学、高安二中等六校2021届高三1月联考数学(理)试题
10 . 在极坐标系中,有点
,则
两点间的距离为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddaa53fc043d99eabc84e1ceb2921d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
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2020-03-27更新
|
329次组卷
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2卷引用:吉林省辽源市田家炳高级中学2019-2020学年高二上学期期末数学(文)试题