名校
1 . 在直角坐标系
中,以
为极点,
轴的正半轴为极轴建立极坐标系,已知曲线
的极坐标方程为
,曲线
的极坐标方程为
,曲线
的极坐标方程为
.
(1)求
与
的直角坐标方程;
(2)若
与
的交于
点,
与
交于
、
两点,求
的面积.
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59029d69bc42e78ccf12cc5b1b562f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6e7fee3b475cd67b467c62ccffdd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c7afba7fa24b295454141892a5a986.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.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/53502463cc76201000e02df314e58769.png)
您最近一年使用:0次
2020-04-01更新
|
677次组卷
|
5卷引用:河北省武邑中学2018-2019学年高三下学期期中数学(理)试题
2 . 在平面直角坐标系xOy中,
:
(t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
:
,射线l:
(
).
(1)求
的横,纵坐标的取值范围,并将
化为极坐标方程;
(2)若
与y轴的交点为P(异于原点),射线l与
,
分别交于A,B两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929a87979919b637f5826142e0531c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b80024f36b7b8604522ba11a6ca129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e27c571e427f6c363bc8fcd2febd302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7026315511e1afd55a97b5278b0dd2cc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.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/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
2020-02-21更新
|
591次组卷
|
3卷引用:河北省衡水中学2019-2020学年高三下学期期中数学(理)试题
名校
3 . 在平面直角坐标系中,已知曲线
(
为参数),圆
.以原点
为极点,
轴的非负半轴为极轴建立极坐标系.
(1)写出曲线
与圆
的极坐标方程;
(2)在极坐标系中,已知射线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc35770ab113e9d9ce8f8fc53c3271e9.png)
与曲线
相交于
,与圆
相交于
(异于原点
),当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac6d898fb2168cdeee73b5f76dec747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd50ea10c86fab3d716156096cbc156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)在极坐标系中,已知射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc35770ab113e9d9ce8f8fc53c3271e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ccd5ff210fa0216cc381c80acf61d11.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f102439ebd1efd422f04209ecec2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee061fe1cd12ac2f0ecfe16a132d5449.png)
您最近一年使用:0次
2020-02-21更新
|
675次组卷
|
6卷引用:河北省衡水中学2019-2020学年高三下学期第七次调研数学(文)试题
名校
4 . 在平面直角坐标系xOy中,已知曲线C1的参数方程为
(t为参数),曲线C2的直角坐标方程为
.以平面直角坐标系的原点O为极点,x轴的正半轴为极轴建立极坐标系,射线l的极坐标方程为
,
.
(1)求曲线C1,C2的极坐标方程;
(2)设A,B分别为射线l与曲线C1,C2除原点之外的交点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d628563b0c7a99696bcc8c6b97e7f69b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0f3e15d7b753a178d7b546cbfdf4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f5d2e8186f0173d7862b1d39fb3dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a135466eb8ca64d002d0fad36176d1c1.png)
(1)求曲线C1,C2的极坐标方程;
(2)设A,B分别为射线l与曲线C1,C2除原点之外的交点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaff41080fdea43eea7efedf9ebc1498.png)
您最近一年使用:0次
2020-01-22更新
|
206次组卷
|
8卷引用:河北省武邑中学2019届高三上学期期末考试数学(理)试题
名校
5 . 已知极坐标系的极点为直角坐标系xOy的原点,极轴为x轴的正半轴,两种坐标系中的长度单位相同,圆C的直角坐标方程为
,直线l的参数方程为
(t为参数),射线OM的极坐标方程为
.
(1)求圆C和直线l的极坐标方程;
(2)已知射线OM与圆C的交点为O,P,与直线l的交点为Q,求线段PQ的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa42baf2d4786dee626d8d6ea310e069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd185e596bc67ef411fa2aa7d2e6d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f13557c6c4cac12d494b38da6972e5e.png)
(1)求圆C和直线l的极坐标方程;
(2)已知射线OM与圆C的交点为O,P,与直线l的交点为Q,求线段PQ的长.
您最近一年使用:0次
2020-01-22更新
|
436次组卷
|
10卷引用:2017届河北省衡水中学高三下学期二调考试数学(文)试卷
2017届河北省衡水中学高三下学期二调考试数学(文)试卷2017届高河北省衡水中学三下学期二调考试数学(文)试卷2017届河南省安阳市高三第一次模拟考试数学(文)试卷黑龙江省大庆第一中学2017届高三考前冲刺模拟数学(文)试题2017届河南省安阳市高三第一次模拟考试数学(理)试卷12017届河南省安阳市高三第一次模拟考试数学(理)试卷2(已下线)专题12.1 坐标系(练)【文】-《2020年高考一轮复习讲练测》广东省广州市天河区2018-2019学年高二上学期期末数学(理)试题江苏省扬州中学2019-2020学年高三下学期4月月考数学试题(已下线)河南省安阳市2017届高三第一次模拟考试数学(文)试题
名校
6 . 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
的极坐标方程为
.
(1)求曲线
的极坐标方程,
(2)设直线
与曲线
相交于不同的两点
,求
的取值范围.
![](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/4caa760c37210c3fa2fec13c80cdc189.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ba7a71c56fe7355a2b3ad5bade55ad.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)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/5425108c557f0f21474c045334f97d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eae39382b5597b24ad82a94f3830c1.png)
您最近一年使用:0次
2019-10-12更新
|
919次组卷
|
5卷引用:河北省衡水市深州市2019-2020学年高三上学期9月月考数学(文)试题
名校
7 . 在平面直角坐标系
中,曲线
的参数方程为
为参数),直线
的参数方程为
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.
(1)求曲线
的极坐标方程;
(2)已知直线
与曲线
相交于
两点,且
,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/d0764ea74aefb3f1a26bfecd3349b95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5c7e04c2452af0ed0d417576ede9a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0063df626a428f0879fa22ffd749d6.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/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb446e4aa97177d936f6a11ebb40074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2019-04-08更新
|
1222次组卷
|
7卷引用:河北省衡水市第十三中学2019-2020学年高二下学期第二次质检数学试题
名校
8 . 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
的极坐标方程和
的直角坐标方程;
(2)若曲线
的极坐标方程为
,
与
的交点为
,与
异于极点的交点为
,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/3a9e4bae6359e96a20791bb67a2b7aae.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2019-03-18更新
|
1668次组卷
|
8卷引用:河北省冀州中学2018-2019学年高二下学期第一次月考数学(文)试题
名校
9 . 在直角坐标系
中,圆
的参数方程为
(
为参数),以
为极点,
轴的非负半轴为极轴建极坐标系,直线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ec1d35bbc5848d9f2a8aa4fad05283.png)
(Ⅰ)求
的极坐标方程;
(Ⅱ)射线
与圆C的交点为
与直线
的交点为
,求
的范围.
![](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/77beb19da9ede8d68a938fb0b089b10f.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ec1d35bbc5848d9f2a8aa4fad05283.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e5b017e015fa3631610f96b18b012f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db36b4497b911bc047253b832ae01c4.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/3668b55ec6c015b1afe1aabb38392a35.png)
您最近一年使用:0次
2018-11-02更新
|
1232次组卷
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13卷引用:【全国百强校】河北省武邑中学2019届高三上学期第三次调研考试数学(文)试题
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10 . 在极坐标系中,
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