1 . 在平面直角坐标系
中,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
,曲线
的参数方程为
(
为参数,
)在曲线
上求点
,使点
到
的距离最小,并求出最小值.
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af11a7ecfafc4f6a982862c5b249463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a0e474f983da38aed65883314ce0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae470980d6e3b53c65b9d42d1f011c5.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-01-31更新
|
321次组卷
|
2卷引用:2020届江苏省徐州市高三上学期第一次质量抽测数学试题
2 . 在极坐标系中,点
到直线
的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b430406f3b2a32211f34bf18e4019024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce97123b62f868922c954e574c2bdf5d.png)
您最近一年使用:0次
2020-04-24更新
|
863次组卷
|
4卷引用:江苏省徐州市2018-2019学年高二下学期期末理科数学试题
名校
3 . (1)已知直线
经过点
,倾斜角
.设
与圆
相交与两点A,B,求点P到两点的距离之积.
(2)在极坐标系中,圆C的方程为
,直线
的方程为
.
①若直线
过圆C的圆心,求实数
的值;
②若
,求直线
被圆C所截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c95fa7f61564978c8e26616bc14449e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
(2)在极坐标系中,圆C的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287ec9b0117cf547f234e2bcacbbb19e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbf657cb6c266a219f6541ebf4ca334.png)
①若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2019-09-18更新
|
330次组卷
|
3卷引用:江苏省天一中学2018-2019学年高二(强化班)下学期期末考试数学试题
名校
4 . 在极坐标系中,点
到直线
的距离为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b849e26e3daf517eee4e028d2f49755b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8404512411aad56ca29414075d3ab45.png)
您最近一年使用:0次
2019-09-12更新
|
917次组卷
|
2卷引用:江苏省无锡市锡山区天一中学2018-2019学年高二下学期期末数学(理)试题
5 . 在平面直角坐标系
中,以
为极点,
为极轴建立极坐标系,曲线
的极坐标方程是
,直线
的参数方程是
(
为参数).求直线
被曲线
截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b1b4f3c6265976a506d6a47fd01dcec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](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
名校
6 . 在极坐标系中,直线
的方程为
,则点
到直线
的距离为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70498aca8afc1531efd39470ab91eacc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997fb39a8537bc1436c59cee76446ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2018-06-01更新
|
790次组卷
|
3卷引用:江苏省泰州中学2018-2019学年高二下学期期末数学(理)试题
9-10高二下·江苏盐城·期末
7 . 直线
(
为参数,
为常数且
)被以原点为极点,
轴的正半轴为极轴,方程为
的曲线所截,求截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9b8e0c96bcb65ac504ffd7897e7539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95311be72fa231af97e4ce0c683d346.png)
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10-11高二下·江苏盐城·期末
8 . (Ⅰ)把点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
的直角坐标化为极坐标;
(Ⅱ)求圆心在极轴上,且过极点和点
的圆的极坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde4ea0ed17831cab727a0ad31a2d85c.png)
(Ⅱ)求圆心在极轴上,且过极点和点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce2b8618eaa0d79a8b5f0edd846190a.png)
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