1 . 在平面直角坐标系
中,已知直线:
(t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,曲线C的极坐标方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32ce2bb45ad44234d0f19c54154c715.png)
(1)求曲线C的直角坐标方程;
(2)设点M的直角坐标为
,直线l与曲线C的交点为A,B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8527459990784f66b4de6c10b23d1216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32ce2bb45ad44234d0f19c54154c715.png)
(1)求曲线C的直角坐标方程;
(2)设点M的直角坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c3028d7bc07acc1a8caa19bca712e6.png)
您最近一年使用:0次
解题方法
2 . 已知曲线
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,曲线
的极坐标方程为
,直线
的极坐标方程为
.
(1)求曲线
的普通方程;
(2)若曲线
和曲线
与直线
分别交于非坐标原点的
,
两点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfface93034a81cb5003bb8ca2fc395.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/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2109a81388b6e86e278c820488505975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e186ebc624ebacde9a03b96289f1ab.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若曲线
![](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/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/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
2023-05-10更新
|
816次组卷
|
4卷引用:西藏林芝市2023届高三二模数学(理)试题
名校
3 . 在极坐标系中,点
,
,则线段
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5590ad9d4892c0cd02e240118e5342e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc842c06bf8a64fa64648bf36a16a575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2023-04-23更新
|
631次组卷
|
4卷引用:西藏拉萨市2022-2023学年高二下学期期末联考数学(文)试题
4 . 已知直线
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,圆
的极坐标方程为
,圆
与极轴和直线
分别交于点
,点
(异于坐标原点).
(1)写出点
的极坐标及圆
的直角坐标方程;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7ea2c9b5aef8a6b1341e6c4bf0b171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b6d2853ae57f4d2c3b5a0ac6fd4a5f.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/120c0192f3a2e1bf69348350a710b737.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad28cf8dd484ddea92cb200a50dcf60.png)
您最近一年使用:0次
2023-03-21更新
|
149次组卷
|
2卷引用:西藏林芝市第二高级中学2023届高三上学期第三次月考数学(文)试题
解题方法
5 . 圆
的参数方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a40f60a5bf3faee549f270a3cd97dd.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2022-12-31更新
|
288次组卷
|
2卷引用:西藏林芝市第二高级中学2022-2023学年高二下学期期末考试数学(文)试题
6 . 在平面直角坐标系xOy中,曲线C的参数方程为
(
为参数),在以原点为极点,x轴正半轴为极轴的极坐标系中,直线l的极坐标方程为
.
(1)求C的普通方程和
的直角坐标方程;
(2)设直线l和C交于A,B两点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b10ea256c21a5bcaf9c9a2380e6ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e569a4f6636abd64a8b95c9b035aa8.png)
(1)求C的普通方程和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设直线l和C交于A,B两点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
您最近一年使用:0次
7 . 在直角坐标系
中, 直线
的参数方程为
(
是参数), 以
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
的直角坐标方程;
(2)若点
的直角坐标为
, 且直线
与
交于
两点, 求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd1463e4ef9b8c02410fdec5d1b43b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08075b3b73dd2609baad69a496fdd9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08796b273262612cdd846ce70e36e4f8.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e84b6b1a16df9fa20391ace08b9f1af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e4e4c7a79d9d3cdb9ac5949d53e33e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3dfdb41728d2fadc28eb2ef98f3c321.png)
您最近一年使用:0次
2022-10-22更新
|
683次组卷
|
8卷引用:西藏林芝市第二高级中学2022-2023学年高三上学期第二次月考数学(理)试题
8 . 将直角坐标方程
化为极坐标方程:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e635813faa2b56067f5d7fe2dd3b33.png)
您最近一年使用:0次
2022-09-07更新
|
287次组卷
|
2卷引用:西藏日喀则市江孜高级中学2023届高三上学期线上期中考试数学试题
9 . 在直角坐标系xOy中,曲线
的方程为
(
为参数),以坐标原点为极点,x轴正半轴为极轴建立极坐标系,曲线
的极坐标方程为
.
(1)求
的普通方程;
(2)求
的直角坐标方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffbb12fce69628e7472100b2fd90762.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/293bcfd0679b28bea188755ae9c10d9f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
10 . 在极坐标系中,
,
,则|AB|=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e8a53934acbd809d96eaed1bf5cc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5d93b42ed334f09bfcecc5c42232a9.png)
您最近一年使用:0次