1 . 在极坐标系中,已知点
在直线
上,点
在圆
上(其中
).
(1)求
的值;
(2)求出直线
与圆
的公共点的极坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab83adb657872e549cdb1c7f83fd5db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee85ced1fc1ed859da4a5bed97d25aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19677909b586500740419d3483849f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b50e956bf646c9780c70a4b5ea83d95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b2213349cbafcd8168f9135c891a9e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e14db015a09a19e45cb91ad39036c2.png)
(2)求出直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2023-08-08更新
|
126次组卷
|
2卷引用:陕西省渭南市韩城市2020-2021学年高二上学期期末文科数学试题
2 . 在直角坐标系
中,点
,直线
.设动点
到
的距离为
,且
.以点
为极点,
轴正半轴(
点右侧)为极轴,建立极坐标系.
(1)求
轨迹
的极坐标方程;
(2)直线
为参数),与
交于
、
两点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2977eea43a781e06d93e04a395a309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0667fd53392abfa58d360e78814eaf51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33a784ffdf8c129f217c4e572df097a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/d44e8bc37ed03f44470762748a8f942a.png)
您最近一年使用:0次
3 . 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,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求直线
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
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/af774717701279c62ae0b2bd3bda1131.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/f781a1c9df6e57af166df59a1163cc3f.png)
(1)求直线
![](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/6e9b5e076078240e0c5ad9763a9824d3.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/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
2023-03-26更新
|
428次组卷
|
4卷引用:陕西省渭南市韩城市新蕾中学2021-2022学年高二上学期第三次月考文科数学试题
4 . 在平面直角坐标系xOy中,直线l的参数方程为
(t为参数),点
,以原点O为极点,x轴的正半轴为极轴建立极坐标系,曲线C的极坐标方程为
.
(1)将曲线C的极坐标方程化为直角坐标方程,并说明表示什么曲线;
(2)若直线l与曲线C相交于A,B两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb3650d075519951a7b6ed181ad2134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0e567a12d78ed0df0d1a2b241abdde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79de7c27544f42a55d586d49c69a83cd.png)
(1)将曲线C的极坐标方程化为直角坐标方程,并说明表示什么曲线;
(2)若直线l与曲线C相交于A,B两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
名校
5 . 在平面直角坐标系
中,直线
,曲线
,以原点
为极点,
轴正半轴为极轴建立极坐标系.
(1)求直线
,曲线
的极坐标方程;
(2)射线
分别交直线
,曲线
于
两点
点
异于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9e6796f834bd176928b408a6c43c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1cf150c418dc25ae882a3b3f56b51e.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/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3904463e169fb25dbd36fa257edd2bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8eb257538d539bdf99a2ff3aae84a87.png)
您最近一年使用:0次
2023-03-16更新
|
826次组卷
|
3卷引用:四川省成都市玉林中学2020-2021学年高二下学期期中数学试题
6 . 在平面直角坐标系
中,直线
的直角坐标方程为
,曲线
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.
(1)求直线
、曲线
的极坐标方程;
(2)若射线
:
分别交直线
,曲线C于M、N两点(点N异于原点О),求
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/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27140ded06b497cfd728931afcd3b0ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309be8577ab98f47afdced566fe5679b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fad3596e977fdf9f139bb3d0c00f078.png)
您最近一年使用:0次
7 . 在平面直角坐标系
中,直线
的参数方程为
(
为参数),以原点О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;
(2)设
,直线
与曲线C交于A、B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/a31bcd01d8437e25d8ca5d661c6b94b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442ff84284c62c591a30c742c5cf47b0.png)
(1)求曲线C的直角坐标方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1b6f209d1a805437046ca6ef79dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559d66fd8b309fd440ce9bda78a579c9.png)
您最近一年使用:0次
8 . 将极坐标方程
转化为直角坐标方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ba661d645f716c8b9c73f80f3da026.png)
您最近一年使用:0次
9 . 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
的极坐标方程;
(2)若射线
与曲线
交于点
,与直线
交于点
,求
.
![](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/a8d830a32d049e663301bf8bc5ed4a76.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697415ba8a02215e1c24d6fc76ff50d7.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44670943f3d1ba89787b7cd2060d87ac.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
名校
10 . 若直线
与曲线
有交点,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a94b2716c56f449246c6ff3653ec9bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfda11f6f6f9ca5a3fec5629c1a3098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次