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,
轴的正半轴为极轴建立极坐标系,直线l的极坐标方程为
.
(1)求曲线
的极坐标方程;
(2)若直线
与曲线
交于
两点,求
.
![](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/34aa25192235cff605c824ab75e5bed7.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/f6ee98ee1a893dbbd2bf716c344bb0ee.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2caac14fd6f2f4d683f734d6a1b4a155.png)
您最近一年使用:0次
2023-05-29更新
|
806次组卷
|
5卷引用:四川省成都市石室阳安中学2023-2024学年高三上学期开学考试数学(文)试题
名校
2 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),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.
(1)求曲线
与曲线
的极坐标方程;
(2)曲线
与曲线
交于
,
两点.求
的值.
![](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/961c647ed4207f66dc50645d48c95868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f30cb566bdea414924e72fdb88a51a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.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)曲线
![](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/17a0d9a2f14f7e789892487d6585804a.png)
您最近一年使用:0次
2022-05-08更新
|
950次组卷
|
5卷引用:四川省绵阳南山中学2023届高三下学期入学考试数学(理)试题
3 . 曲线
的参数方程为
(
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,曲线
的极坐标方程为
.
(1)把
的参数方程化为极坐标方程;
(2)求曲线
与
交点的极坐标
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e717f542291fbf12ec897c784f70ac9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a547d38bda9f5b6613c969a8cae51f3a.png)
(1)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求曲线
![](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/3ff767d4c804a262cc0eb64e84b029f7.png)
您最近一年使用:0次
2022-02-21更新
|
837次组卷
|
6卷引用:新疆喀什第二中学2021-2022学年高二下学期开学考试数学试题
新疆喀什第二中学2021-2022学年高二下学期开学考试数学试题江西省重点中学协作体2022届高三2月第一次联考数学(文)试题(已下线)2022年全国高考甲卷数学(理)试题变式题13-16(已下线)2022年全国高考甲卷数学(理)试题变式题13-16题吉林省实验中学2021-2022学年高三下学期最后一次模拟考试数学(理)试题(已下线)2022年全国高考甲卷数学(理)试题变式题21-23题
4 . 已知曲线
的参数方程为
(
为参数),以直角坐标系原点为极点,以
轴正半轴为极轴并取相同的单位长度建立极坐标.
(1)求曲线
的极坐标方程,并说明其表示什么轨迹;
(2)若直线
的极坐标方程为
,求曲线
上的点到直线
的最大距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409c2b6cd693c3d8846fa88eaf42c7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a346e6874b7f8e33a8a639548360c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-07-15更新
|
363次组卷
|
4卷引用:四川省绵阳南山中学双语学校2022届高三上学期入学考试数学(文)试卷
5 . 在直角坐标系
中,曲线C的参数方程为
(
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C的极坐标方程;
(2)若直线l过点
,且与C交于
两点,点P恰好为线段
的中点求直线l的斜率及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa097fa97bd65018b6b7561cfe581f80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(1)求C的极坐标方程;
(2)若直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a08092ea1dbc65fe683842acbdde8ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac35b1e8a952aac4f4cdaaf02d868d04.png)
您最近一年使用:0次
2020-09-26更新
|
283次组卷
|
2卷引用:安徽省阜阳市太和第一中学2020-2021学年高三上学期开学摸底检测数学(文)试题
名校
6 . 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
.
(1)求直线
的普通方程和曲线
的直角坐标方程;
(2)若点
是直线
上的一点,过点
作曲线
的切线,切点为
,求
的最小值.
![](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/421c1dff952a7bbc31f60bbdf02b13b1.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/7e9ba59f99418c3a3b73e36b36434b38.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
您最近一年使用:0次
名校
7 . 在直角坐标系
中,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
:
,
:
.
(1)求
与
的交点的极坐标;
(2)设点
在
上,
,求动点
的极坐标方程.
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8a4fcb41cc101892733a02c98c4d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6fe64775315318a236bd8865ac3a09e.png)
(1)求
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1331eec5883113fde42669e882974df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
8 . 在极坐标系中,曲线
与曲线
相交于
两点,若
,则实数
的值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be9d6af2bf62d82ce4c79141c6d850a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9514468ce4ea82166ffd713a4b0743c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb398137779190b35492d9f06d5fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb6573126516181bee81e64513ec1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 在极坐标系中,已知圆
的圆心极坐标为
,且圆
经过极点,求圆
的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a350208b65d816f9a915789d16280404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2020-03-27更新
|
369次组卷
|
4卷引用:2020届江苏省南通市高三下学期3月开学考试数学试题
10 . 在直角坐标系
中,以原点
为极点,x轴正半轴为极轴建立极坐标系,圆C的极坐标方程为
.
(1)将圆C的极坐标方程化为直角坐标方程;
(2)过点
作斜率为
的直线l,l与圆C交于A,B两点,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84dc810d0ba76450dc0e87f8fabbcb2.png)
(1)将圆C的极坐标方程化为直角坐标方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c10f14aae6fb21e047ecb39cdf40c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1d29d610bf5f13e812124797f2cb79.png)
您最近一年使用:0次
2019-07-04更新
|
819次组卷
|
2卷引用:2020届四川省绵阳市三台中学实验学校高三入学考试数学(理)试题