1 . 已知在直角坐标系中,
的圆心为
,半径为
,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)写出
的极坐标方程;
(2)已知直线
与
相交于
,
两点,且
,求角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a56e5ddc6dc057aa4076130cc6ce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb71edf8424b30fd942f5316cdad638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10adc3992efb2badc23f81d36faa206f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.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/689275973d3e4f5f4fe336ad6d05901e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2 . 在直角坐标系xOy中,
的圆心为
,半径为
.以坐标原点为极点,x轴正半轴为极轴建立极坐标系,
的极坐标方程为
.
(1)求
的极坐标方程,判断
,
的位置关系;
(2)求经过曲线
,
交点的直线的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e69fd92eceb49fed10c4b50723d13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e908f4ceb423a3b1ea6bdde081eccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f7ba050bb69ab55bdcb96f935f5922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5cb97c567a52514b0cca9495c7cee11.png)
(1)求
![](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)
(2)求经过曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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2022-07-05更新
|
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3卷引用:河南省安阳市2022-2023学年高三上学期名校调研摸底考试文科数学试题
河南省安阳市2022-2023学年高三上学期名校调研摸底考试文科数学试题河南省安阳市2022-2023学年高三上学期名校调研摸底考试理科数学试题(已下线)专题18 坐标系与参数方程-备战2023年高考数学母题题源解密(全国通用)
3 . 在平面直角坐标系
中,已知直线
的参数方程为
(
为参数,
为常数且
),在以原点
为极点,
轴的非负半轴为极轴的极坐标系中,曲线
的极坐标方程为:
.
(1)求直线
的直角坐标方程和曲线
的普通方程;
(2)点
,直线
与曲线
交于
两点,若
,求直线
的斜率.
![](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/8efc1799b4934697e362f97ec437f680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e222c14e46e2fcbb8285eeb18e5ba7.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/0f1ec35f0e0f23bf700c00c1d8ad739c.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.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/3ab34ce6cee0673ab0d37b660d57bc07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2022-07-05更新
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5卷引用:四川省成都市温江区2022届高考适应性考试数学(文)试题
四川省成都市温江区2022届高考适应性考试数学(文)试题四川省成都市温江区2022届高考适应性考试数学(理)试题(已下线)专题18 坐标系与参数方程-备战2023年高考数学母题题源解密(全国通用)宁夏石嘴山市第三中学2023届高三上学期期末考试数学(理)试题(已下线)2023年高考全国甲卷数学(文)真题变式题21-23
名校
解题方法
4 . 实数
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d63471465a852901b6aaf6b7fc4d042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e159c8203722a3c50784f7f6e65911e2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-07-05更新
|
1087次组卷
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3卷引用:四川省成都市温江区2022届高考适应性考试数学(文)试题
5 . 已知直线l经过点
,倾斜角
.
(1)写出直线l的参数方程;
(2)设l与圆
(
为参数)相交于点A、B,求点P到A、B两点的距离之积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e2c8d466ab8eb5ecd38060b53bbe8c.png)
(1)写出直线l的参数方程;
(2)设l与圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a0699ed2dc65dc565331bd081edf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2022-07-03更新
|
193次组卷
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3卷引用:甘肃省兰州市等4地2022届高三一模理科数学试题
6 . 已知
的极坐标方程为
,以极点O为坐标原点,极轴为x轴正半轴,建立平面直角坐标系,
(1)求
的直角坐标方程,
(2)过
作直线l交圆
于P,Q两点,且
,求直线l的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925b34a1e7a48f450d883f9a0197e5c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e584f799ea554fc5533925ead4672501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434d4757160daa99a9165a62a79d7328.png)
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493次组卷
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6卷引用:四川绵阳市2022-2023学年高三二诊模拟考试(3)理科数学试题
7 . 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,曲线C的参数方程为
(t为参数),直线l的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f610e0a23e550675622ca0d4081333.png)
(1)已知点
在曲线C上,求a的值;
(2)设点P为曲线C上一点,求点P到直线l距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29d9f47635bf5cb3e7e80022b908407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f610e0a23e550675622ca0d4081333.png)
(1)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88960e6fb3b24aed08e478fb5bf118d2.png)
(2)设点P为曲线C上一点,求点P到直线l距离的最小值.
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解题方法
8 . 参数方程
(其中
)表示的曲线为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f025ef5e9ad5e14903b249ed6d61c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
A.圆 | B.椭圆 | C.双曲线 | D.抛物线 |
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解题方法
9 . 直线
(
为参数,
)的斜率为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a04997aef58e0d1ba31eb1032dcce59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a4fcad318aa51ab12e0070ae5852b8.png)
您最近一年使用:0次
解题方法
10 . 设
,直线
(
为参数)的倾斜角的大小为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39106d1bdd098fc71c68b9c606891eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85f83b934657a6a65374100ccfd0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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