1 . 在直角坐标系xOy中,曲线C的参数方程是
(
为参数),以坐标原点为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线C的极坐标方程;
(2)射线
(
且
)与曲线C分别交于点A,B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43df4ef305400ba85a146923f9f212e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(1)求曲线C的极坐标方程;
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c04ca22dba343e23584976deeedf071f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7fdccadfa7469825f8a5ccbf495c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b337c93f29459c8f59a0e1cf2d94e3.png)
您最近一年使用:0次
2022-04-24更新
|
841次组卷
|
5卷引用:山西省朔州怀仁市2022届高三第三次模拟数学(文)试题
2 . 在直角坐标系xOy中,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,圆
的极坐标方程为
.
(1)求圆
的直角坐标方程,并指出圆心坐标和半径;
(2)设点
的直角坐标为
,直线
与圆
的交点为A,B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb9d7c46efb416c47b2bba9d2281185.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/64572906dd78fa0134b86ad32a7c28a2.png)
(1)求圆
![](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/1245058626b9b4ff471247b02502c4f9.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/22097649da114f396ea2c67464f6da97.png)
您最近一年使用:0次
2022-03-04更新
|
941次组卷
|
7卷引用:山西省朔州市怀仁市第一中学2022届高三下学期第二次模拟数学(理)试题
3 . 在极坐标系中,与圆
相切的一条直线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-09-15更新
|
394次组卷
|
2卷引用:山西省怀仁市大地学校2020-2021学年高二下学期第三次月考数学(理)试题
名校
4 . 在直角坐标系
中,圆
:
,以
为极点,
轴的非负半轴为极轴建立极坐标系.
(1)求圆
的极坐标方程;
(2)直线
的极坐标方程是
,射线
:
与圆
的交点为
、
,与直线
的交点为
,求线段
的长.
![](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/e6316e0e6da742e9b035d8f2cc91a4dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4f87197f5f80c73c6b65938c4772ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
5 . 已知曲线
的极坐标方程为:
,
为曲线
上的动点,
为极点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8936de0d585b78a8eda44553071e296b.png)
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f625aa2ab29879c1df77417e9c1cf71.png)
A.2 | B.4 | C.![]() | D.![]() |
您最近一年使用:0次
2019-11-06更新
|
706次组卷
|
4卷引用:山西省朔州市怀仁县怀仁一中云东校区2019-2020学年高二下学期期中数学(理)试题
山西省朔州市怀仁县怀仁一中云东校区2019-2020学年高二下学期期中数学(理)试题广西钦州市2018-2019学年高二下学期期末教学质量监测数学(文)试题(已下线)狂刷57 坐标系与参数方程-学易试题君之小题狂刷2020年高考数学(理)(已下线)考点47 坐标系与参数方程-备战2022年高考数学(理)一轮复习考点微专题
名校
6 . 在极坐标系中,由三条直线
,
,
围成的图形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcca436b9f38396dafd79f5e302a6a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e40113e38395047716ff4a4030fee3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-14更新
|
1156次组卷
|
4卷引用:山西省朔州市怀仁第一中学2018-2019学年高二下学期期末考试数学(理)试卷
山西省朔州市怀仁第一中学2018-2019学年高二下学期期末考试数学(理)试卷甘肃省甘南藏族自治州合作第一中学2018-2019学年高二下学期期中考试数学(文)试题(已下线)狂刷57 坐标系与参数方程-学易试题君之小题狂刷2020年高考数学(理)四川省电子科技大学实验中学2019-2020学年高二下学期期中数学(理)试题
名校
7 . 在直角坐标系
中,曲线
的参数方程为
.
是曲线
上的动点,将线段
绕
点顺时针旋转
得到线段
,设点
的轨迹为曲线
.以坐标原点
为极点,
轴正半轴为极轴建立极坐标系.
(1)求曲线
,
的极坐标方程;
(2)在(1)的条件下,若射线
与曲线
,
分别交于
,
两点(除极点外),且有定点
,求
的面积.
![](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/4763de4a77e5c7afb317372325e7dd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)在(1)的条件下,若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3885a9129c24ed14cebd02f17cd1aa13.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/60f2a72c6d7780757ab065fb29f47526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04e30d5827f2120d997997e4e31ba17.png)
您最近一年使用:0次
2018-12-05更新
|
2960次组卷
|
10卷引用:山西省怀仁市2022届高三上学期期末数学(理)试题
山西省怀仁市2022届高三上学期期末数学(理)试题【校级联考】广东省百校联考2019届高三高考模拟数学(理科)试题【校级联考】广东省百校2019届高三联考文科数学试题【校级联考】重庆市九校联盟2019届高三12月联合考试数学(文)试题【校级联考】重庆市九校联盟2019届高三12月联合考试数学(理)试题江西省宜丰中学2019届高三上学期第四次月考数学(文)试题【市级联考】甘肃省张掖市2019届高三上学期第一次联考数学(理)试题【市级联考】甘肃省张掖市2019届高三上学期第一次联考数学(文)试题【全国百强校】重庆市南开中学2019届高三三月测试题数学(理)试题2019届四川省三台县芦溪中学高三上学期二诊模拟数学(文)试题
名校
8 . 以平面直角坐标系
的原点为极点,
轴的正半轴为极轴,建立极坐标系,两种坐标系中取相同的长度单位.若直线
的参数方程为
为参数),曲线
的极坐标方程为
.
(I)求直线
的普通方程与曲线
的直角坐标方程;
(II)设直线
与曲线
相交于
两点,若
点的直角坐标为
,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/2f3158df50bab42b28969a825dac3574.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958696a67ec557d9b2a3fbfa66993754.png)
(I)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(II)设直线
![](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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ce2f5e22175e3ff8ab5e0afca58f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1123b01de1b4a0ad46c10a2abe92e529.png)
您最近一年使用:0次
2018-06-14更新
|
275次组卷
|
3卷引用:【全国校级联考】山西省怀仁县第一中学、应县第一中学校2017-2018学年高二下学期期末考试数学(文)试题
2014·北京东城·一模
9 . 在极坐标系中,点
到直线ρcosθ﹣ρsinθ﹣1=0的距离等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20f083b3106ceafa46119ce165a19edf.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2017-07-07更新
|
830次组卷
|
7卷引用:山西省朔州市怀仁县大地学校2019-2020学年高二下学期期末文科数学试题
山西省朔州市怀仁县大地学校2019-2020学年高二下学期期末文科数学试题山西省朔州市怀仁县大地学校2019-2020学年高二下学期期末理科数学试题(已下线)2014届北京市东城区高三下学期综合练习(一)理科数学试卷北京市丰台区2017届高三5月综合练习(二模)数学(理)试题河北省鸡泽县第一中学2016-2017学年高二下学期期末考试数学(文)试题青海省大通回族土族自治县第一完全中学2019-2020学年高二下学期期中考试数学(文)试题(已下线)考点49 坐标系与参数方程-备战2022年高考数学(文)一轮复习考点帮
名校
10 . 在直角坐标系中,以原点
为极点,
轴的正半轴为极轴建立极坐标系,点
的极坐标为
,点
的极坐标为
,曲线
.
(1)求曲线
和直线
的极坐标方程;
(2)过点
的射线
交曲线
于
点,交直线
于
点,若
,求射线
所在直线的直角坐标方程.
![](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/19b4444b4b64ae328919a8ca2b83eca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e714b2fdd9a766c68b0d7dd26247448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f11fd14d67ee5f24867331c3f950583.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea337ec5c7cee79dd36d473b746894e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2016-12-13更新
|
1534次组卷
|
2卷引用:山西省应县第一中学校2017-2018学年高二第八次月考数学(理)试题