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)
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2023-08-08更新
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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
名校
2 . 在直角坐标系
中,曲线
的普通方程为
,直线
的极坐标方程为
.在以坐标原点
为极点,
轴的正半轴为极轴的极坐标系中,过极点
的射线与曲线
相交于不同于极点的点
,且点
的极坐标为
,其中
.
(1)求
的值.
(2)若射线
与直线
相交于点
,求
的值.
![](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/2f0f3e15d7b753a178d7b546cbfdf4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84370e746a20c8f3dd1dded5c1309fbc.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/1dde8112e8eb968fd042418dd632759e.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e694a813c6bc3273a3c67f42866784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d28eab3b97cbeff2ff5527a0603ed1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.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
3 . 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O为极点,x轴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C的极坐标方程;
(2)设射线
的极坐标方程为
,射线
与曲线C交于两点O、A,与直线l交于点B,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/7767c6cea746a96b1747d09fe0f2295a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3631a6b5eab34e3e5efefe945a3d7aa.png)
(1)求曲线C的极坐标方程;
(2)设射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3d89612c976e88f04bd80e5a87d32d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4db9131c62056c7f6a7723ccbd4c662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2022-12-06更新
|
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5卷引用:陕西省榆林市神木中学2021-2022学年高三上学期第一次测试理科数学试题
4 . 如图,在极坐标系
中,正方形
的边长为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd0caec008c15302ca973b8e655b748.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/9e438ea4-5afe-4ddb-a414-4c0bb6bef0c2.png?resizew=199)
(1)求正方形
的边
的极坐标方程;
(2)若以
为原点,
分别为轴,
轴正方向建立平面直角坐标系,曲线E:
与边BC,CD分别交于点
Q,求直线
的参数方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab158dd9e96abcae0f115f54fa66c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd0caec008c15302ca973b8e655b748.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/9e438ea4-5afe-4ddb-a414-4c0bb6bef0c2.png?resizew=199)
(1)求正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab158dd9e96abcae0f115f54fa66c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481e426224c3a3ce9bb5a731eed81c40.png)
(2)若以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e77ce349def2476f60d0349d445dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8fbc229c957487495bb8cda1d4cfd8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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5卷引用:四川省泸州市2021-2022学高三第一次教学质量诊断性考试数学(理)试题
四川省泸州市2021-2022学高三第一次教学质量诊断性考试数学(理)试题四川省泸州市2021-2022学年高三第一次教学质量诊断性考试数学(文)试题四川省宜宾市第四中学2022届高三二诊模拟考试数学(理)试题四川省宜宾市第四中学2022届高三二诊模拟考试数学(文)试题(已下线)专题28 极坐标与参数方程解答题20题-备战2022年高考数学冲刺横向强化精练精讲
5 . 在直角坐标系
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,点
的极坐标为
.
(1)求曲线
的极坐标方程;
(2)若直线
与曲线
交于
,
两点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6110437593f1b419376e68406409a5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da79872fd5ad557ade57f9396ffebc39.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/870cbcdb049c56dc992940bfff14c9c7.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88dd0b94e81409f1ffb30ee0ad9f965d.png)
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2021-12-01更新
|
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3卷引用:河南省新乡市2021-2022学年高三上学期第一次模拟考试数学(理)试题
河南省新乡市2021-2022学年高三上学期第一次模拟考试数学(理)试题河南省新乡市2021-2022学年高三上学期第一次模拟考试数学(文)试题(已下线)2020年高考全国3数学理高考真题变式题21-23题
名校
6 . 在平面直角坐标系
中,曲线
的参数方程为
(
),在以坐标原点为极点,
轴的正半轴为极轴的极坐标系中,直线
的方程为
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)已知点
,直线
与曲线
相交
,
两点,点
是弦
的中点,求三角形
的面积.
![](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/ff3b443181e85187095a39de9512e4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a7baca0753ba9ad45fe148d5d291c.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/649361e842399b796c4cb0b1fe75e2d9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/9dd71a8cbe8d1da754b8b4ed18bb0048.png)
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3卷引用:四川省南充市2022届高考适应性考试(零诊)理科数学试题
7 . 过点
且平行于极轴的直线的极坐标方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a3ee61d0d7d3df4807a9691f203e48.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 以直角坐标系的原点O为极点,x轴的非负半轴为极轴,建立极坐标系,并在两种坐标系中取相同的长度单位.已知圆
和圆
的极坐标方程分别是
和
.
(1)求圆
和圆
的公共弦所在直线的直角坐标方程;
(2)若射线
:
与圆
的交点为O、P,与圆
的交点为O、Q,求
的值.
![](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/925b34a1e7a48f450d883f9a0197e5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdebedd02b4ea57f8562443742086d3.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)若射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.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/6bab77b1212086d7b16e288f73a09560.png)
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2021-09-06更新
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8卷引用:云南省曲靖市罗平县第二中学2020-2021学年高二下学期期末测试数学(文)试题
9 . 如图,在极坐标系中,过点
的直线
与极轴的夹角
.若将
的极坐标方程写成
的形式,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84d3157327fcca44b4578d4007ee9d9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/a742d667d384028e8a3b5d614765b7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84d3157327fcca44b4578d4007ee9d9.png)
![](https://img.xkw.com/dksih/QBM/2021/6/16/2750785377492992/2795454794686464/STEM/2e7ef6dd-f1b9-46de-b829-ab74bc67280d.png?resizew=246)
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2卷引用:贵州省威宁彝族回族苗族自治县第八中学2020-2021学年高二6月月考数学(文)试题
10 . 在平面直角坐标系
中,直线
的直角坐标方程为
.以原点
为极点,
轴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
的极坐标方程和曲线
的直角坐标方程;
(2)若直线
与直线
和曲线
分别交于点
,
(点
异于点
),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/3dcaada7649455fbebcdbdbb9a94e6a1.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/2082c9a7d314fe236f15bb40f2cb5428.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b17db4592e5711f0ffffde17012134a.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b1113864968119e61aeee9ba9c613b.png)
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2021-08-20更新
|
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2卷引用:陕西省西安市阎良区2020-2021学年高二下学期期末文科数学试题