1 . 参数方程
(t为参数)表示的曲线是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce927a94c8d961423906012766b5945b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 在直角坐标系
中,曲线C的参数方程为
(t为参数且
),C与坐标轴交于A,B两点,则
的面积为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16bbb26428160de98b7e1e7cf7e5191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a369ce3949b2bd2747a48054f7b951c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
2022-07-30更新
|
160次组卷
|
2卷引用:陕西省西安市蓝田县2021-2022学年高二下学期期末文科数学试题
名校
解题方法
3 . 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,
轴的非负半轴为极轴建立极坐标系,直线
的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e17f5e62f214e041821f64307b7e7e0.png)
(1)求
普通方程和
的直角坐标方程;
(2)若
为曲线
上任意一点,直线
与
轴、
轴的交点分别为
,求
面积的最大值.
![](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/da9c5aea1efa626703a5bff93ce7ca73.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e17f5e62f214e041821f64307b7e7e0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
您最近一年使用:0次
2022-01-03更新
|
2275次组卷
|
5卷引用:陕西省西安市长安区第一中学2022届高三下学期三模理科数学试题
名校
4 . 已知曲线
,直线
(
为参数)
(1)写出曲线
和直线
的直角坐标方程.
(2)直线
与曲线
相交
,
点,设点
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6a0bfe39254b02cfe5d2ee01293f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9214f6a9235ca64e1dbf020d8ca5366e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f449cadb49859b80c31ef1f68bfe81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979f27823cdcba516dfa885d8afe19d.png)
您最近一年使用:0次
2021-09-18更新
|
1581次组卷
|
6卷引用:陕西省商洛市洛南中学2021-2022学年高三上学期第一次月考理科数学试题
陕西省商洛市洛南中学2021-2022学年高三上学期第一次月考理科数学试题甘肃省天水市第一中学2021-2022学年高三上学期第二阶段考试数学(理)试题甘肃省天水市第一中学2021-2022学年高三上学期第二次考试数学理科试题甘肃省部分名校2021-2022学年高三上学期第二次月考数学理科试题(已下线)专题48 极坐标与参数方程、不等式选讲-备战2022年高考数学一轮复习一网打尽之重点难点突破河南省郑州市第一〇六高级中学2021-2022学年高三上学期9月月考数学(文)试题
名校
5 . 在直角坐标系
中,直线
经过定点
,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,圆
的极坐标方程为
.
(1)求
的极坐标方程和
的直角坐标方程;
(2)设
与
的交点为
,
,求
的面积.
![](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/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.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/5054c1fa9473bea807356637ad9c2100.png)
(1)求
![](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/0f85fca60a11e1af2bf50138d0e3fe62.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
您最近一年使用:0次
2021-09-10更新
|
948次组卷
|
3卷引用:陕西省西安中学2022届高三上学期第一次月考文科数学试题
6 . 在直角坐标系
中,直线
的参数方程是
是参数).在以
为极点,
轴正半轴为极轴的极坐标系中,曲线
.
(1)当
时,请判断直线
与曲线
的位置关系;
(2)当
时,若直线
与曲线
相交于
两点,设
,且||
,求直线
的倾斜角.
![](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/637690dbc8f6af2b1f151edf4df302c5.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/a7be8a94e16aba72a357ec0a23732ea0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9a77b82f88db13fb2a0bfddd7ecbfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.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/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da244a5ccb217400e02d0b5ea3e5fd7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-07-05更新
|
1490次组卷
|
5卷引用:陕西省西安中学2024届高三模拟考试(七)数学(理科)试题
陕西省西安中学2024届高三模拟考试(七)数学(理科)试题全国I卷2021届高三二轮联考(三)数学(文)试题百师联盟2021届高三二轮复习联考(三)数学(理)全国Ⅰ卷试题(已下线)专题14 参数方程与极坐标方程-备战2022年高考数学(文)母题题源解密(全国乙卷)甘肃省兰州大学附属中学2021-2022学年高三上学期第三次月考理科数学试题
7 . 在直角坐标系
中,曲线
的参数方程为
(
为参数),以坐标原点O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
的普通方程和
的直角坐标方程;
(2)求
上的点到直线
距离的最大值.
![](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/da9c5aea1efa626703a5bff93ce7ca73.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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf4e02998582a598694c39b66c486e7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2021-05-16更新
|
1695次组卷
|
5卷引用:陕西省西安现代职业高中2020-2021学年高二下学期期末文科数学试题
8 . 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,x轴的非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)写出曲线
的普通方程和曲线
的直角坐标方程;
(2)已知点
,曲线
与曲线
相交于
两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4c4c9cf8f0bd3f84fdc5bae0aa65b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f270cacf51ee7a94f5d9dbd492b321.png)
(1)写出曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54822a1c8cd1ad8c5b84e1c33ed9bfc.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384b9afcef2d86a87eee0c66f383052.png)
您最近一年使用:0次
2021-05-03更新
|
1519次组卷
|
8卷引用:陕西省宝鸡市2021届高三下学期高考模拟检测(三)文科数学试题
名校
9 . 在平面直角坐标系
中,曲线
的方程为
(
,
为参数).
(1)求曲线
的普通方程并说明曲线
的形状.
(2)以
为极点,
轴的非负半轴为极轴建立极坐标系,曲线
的极坐标方程为
,求曲线
的对称中心到曲线
的距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981bf5728301c1f677089448be655ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)以
![](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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc99c10361a246db5d972c2d1208089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
2021-03-28更新
|
1863次组卷
|
5卷引用:陕西省宝鸡市2021届高三下学期高考模拟检测(二)文科数学试题
陕西省宝鸡市2021届高三下学期高考模拟检测(二)文科数学试题陕西省宝鸡市2021届高三下学期二模理科数学试题陕西省西安中学2022届高三下学期八模理科数学试题(已下线)2021年高考全国乙卷数学(理)高考真题变式题21-23题(已下线)2021年高考全国乙卷数学(理)高考真题变式题21-23题
10 . 在平面直角坐标系xOy中,已知直线l过点
且倾斜角为60°,曲线C的参数方程为
(
为参数).
(1)以原点为极点,x轴非负半轴为极轴且取相同的单位长度建立极坐标系,求曲线C的极坐标方程;
(2)求直线l被曲线C所截得的线段的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a4c4c9cf8f0bd3f84fdc5bae0aa65b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)以原点为极点,x轴非负半轴为极轴且取相同的单位长度建立极坐标系,求曲线C的极坐标方程;
(2)求直线l被曲线C所截得的线段的长度.
您最近一年使用:0次
2020-11-28更新
|
1580次组卷
|
11卷引用:陕西省西安市西北大学附属中学2020-2021学年高二下学期4月月考理科数学试题
陕西省西安市西北大学附属中学2020-2021学年高二下学期4月月考理科数学试题广西北海市2021届高三第一次模拟考试数学(文)试题广西北海市2021届高三第一次模拟考试数学(理)试题(已下线)考点59 坐标系与参数方程-备战2021年高考数学(理)一轮复习考点一遍过(已下线)考点51 坐标系与参数方程-备战2021年高考数学(文)一轮复习考点一遍过安徽省宣城市2020-2021学年高三上学期期末数学(理)试题安徽省宣城市2020-2021学年高三上学期期末数学(文)试题(已下线)专题16 极坐标与参数方程-2021年高考冲刺之二轮专题精讲精析江西省上高二中2021届高三年级第七次月考数学(理)试题江西省赣州市南康区唐江中学2021届高三3月综合性考试数学(文)试题广西资源县民族中学2021-2022学年高二下学期第二次月考数学(文)试题