名校
解题方法
1 . 在直角坐标系
中,曲线
的参数方程为
(
为参数).在以坐标原点为极点,
轴正半轴为极轴的极坐标系中,曲线
与极轴相交于
,
两点.
(1)求曲线
的极坐标方程及点
的极坐标;
(2)若直线
的极坐标方程为
,曲线
与直线
相交于
,
两点,求
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/386a6b0b863daef453d6765b5149b1b9.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821825409a6b05b17761f488bad65850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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6卷引用:陕西省部分名校2023届高三下学期高考仿真模拟文科数学试题
名校
2 . 已知直线
的极坐标方程为
,圆
的方程为
,则直线
与圆
的位置关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898010000bbf64affc919cf4ffc24861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.相交 | B.相切 | C.相离 | D.不确定 |
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2023-03-18更新
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3卷引用:陕西省榆林市榆阳区榆林市第十中学2022-2023学年高二下学期期中文科数学试题
3 . 在平面直角坐标系中,直线l的参数方程为
(t为参数).以原点为极点,x轴的非负半轴为极轴建立极坐标系,曲线C的极坐标方程为
.
(1)求直线l的极坐标方程和曲线C的直角坐标方程;
(2)设点
,直线l与曲线C交于点A,B.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a007d1b907662a60a19aea86c9b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ca9ad42ff37f5a00a7c90b1d96d64.png)
(1)求直线l的极坐标方程和曲线C的直角坐标方程;
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88659e1bac79840020d4494440cfb8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25346740294b630c2df2a4ac2857de28.png)
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2023-03-16更新
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4卷引用:陕西省延安中学2022-2023学年高二下学期期中文科数学试题
4 . 在直角坐标系xOy中,直线l的参数方程为
(t为参数),以坐标原点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)求直线的普通方程和曲线C的直角坐标方程;
(2)若直线l与y轴的交点为D,与曲线C的交点为A,B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a214e7ad78c1e5506d25f598fe6a2d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5301b8b3682ad35a5ab50a3f0fe776.png)
(1)求直线的普通方程和曲线C的直角坐标方程;
(2)若直线l与y轴的交点为D,与曲线C的交点为A,B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/628bf44ee61bd2a961048448a424f2e2.png)
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4卷引用:陕西省商洛市2023届高三下学期一模文科数学试题
5 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),直线
过原点,且倾斜角为
.以坐标原点为极点,
轴的正半轴为极轴建立极坐标系.
(1)求曲线
和直线
的极坐标方程;
(2)已知曲线
与直线
交于
,
两点,若
,求直线
的直角坐标方程.
![](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/4ed9131d75d17113adaaf2adb466eb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149bde4e9bc647c5ea8d86fd73f02b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-03-12更新
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7卷引用:陕西省咸阳市高新一中2023届高三下学期第八次质量检测理科数学试题
名校
解题方法
6 . 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)设
,直线
与曲线
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/0183b8fb40708b002d12a78e28386561.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/236836bd898ebf7b8d9f038851c6e071.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530e5817131adf2c05b99ff18eb9060f.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/7384b9afcef2d86a87eee0c66f383052.png)
您最近一年使用:0次
2023-03-08更新
|
573次组卷
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4卷引用:陕西省咸阳中学2022-2023学年高三下学期第六次质量检测理科数学试题
7 . 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,直线
的极坐标方程为
.
(1)求曲线
的普通方程和直线
的直角坐标方程;
(2)过曲线
上任意一点
作与直线
的夹角为45°的直线,且与
交于点
,求
的最小值.
![](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/73f7d17a19d93ad5fc16866bf489d537.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/3c9b0c1178c61f4d202f0f1fe67f35ef.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)过曲线
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/d063ec7f9dbeba72fabf4437f9400e07.png)
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6卷引用:陕西省西安市第四十八中学等2校2023届高三下学期2月联考理科数学试题
陕西省西安市第四十八中学等2校2023届高三下学期2月联考理科数学试题陕西省西安市第四十八中学等2校2023届高三下学期2月联考文科数学试题甘肃省武威市2023届高三第一次联考数学(文)试题甘肃省武威市2023届高三第一次联考数学(理)试题(已下线)专题21坐标系与参数方程(已下线)专题20坐标系与参数方程
名校
8 . 在直角坐标系xOy中,直线l的参数方程为
(t为参数).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)求直线l的普通方程与曲线C的直角坐标方程;
(2)已知直线l与曲线C交于A,B两点,设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578e8d6db401bba01636a1c180db288f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bddf0b3db29426b5f1c396736b7f667.png)
(1)求直线l的普通方程与曲线C的直角坐标方程;
(2)已知直线l与曲线C交于A,B两点,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbeb3db2d060c6261db5c7077ff62e1f.png)
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2023-02-28更新
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841次组卷
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6卷引用:陕西省西安市周至县2023届高三下学期一模文科数学试题
9 . 在直角坐标系xOy中,直线l的参数方程为
(t为参数).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)求直线l的普通方程与曲线C的直角坐标方程;
(2)已知直线l与曲线C交于A,B两点,设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578e8d6db401bba01636a1c180db288f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bddf0b3db29426b5f1c396736b7f667.png)
(1)求直线l的普通方程与曲线C的直角坐标方程;
(2)已知直线l与曲线C交于A,B两点,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3371afe42800f23fd9b933d6e4f5c56.png)
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2023-02-28更新
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4卷引用:陕西省西安市周至县2023届高三下学期一模理科数学试题
名校
10 . 在平面直角坐标系xOy中,曲线C的参数方程为
(
是参数),直线l的普通方程为
,以坐标原点为极点,x轴的正半轴为极轴建立极坐标系.
(1)求曲线C的普通方程和直线l的极坐标方程;
(2)若P是曲线C上任意一点,求点P到直线l的距离的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5e109e021b199157e70a2a8b01f3cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19556a290cd4e98e84b584d30f466614.png)
(1)求曲线C的普通方程和直线l的极坐标方程;
(2)若P是曲线C上任意一点,求点P到直线l的距离的取值范围.
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2023-02-26更新
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9卷引用:陕西省榆林市绥德中学2023届高三下学期2月月考理科数学试题