名校
解题方法
1 . 将曲线y=sin2x按照伸缩变换
后得到的曲线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40950a9839c3ef9efc299d7357c6a2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-03-25更新
|
510次组卷
|
2卷引用:黑龙江省大庆实验中学2018-2019学年高二下学期期末考试数学(理)试题
名校
2 . 在平面直角坐标系
中,曲线
(
为参数),将曲线
上所有点横坐标缩短为原来的
,纵坐标不变,得到曲线
,过点
且倾斜角为
的直线
与曲线
交于
、
两点.
(1)求曲线
的参数方程和
的取值范围;
(2)求
中点
的轨迹的参数方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53de63667387f064828d9a4eadf7b1a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b08f8b169599e2c8ebe2f3a94afd6e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2020-01-30更新
|
534次组卷
|
2卷引用:2020届黑龙江省牡丹江市爱民区第一高级中学高三上学期期末数学(理)试题
名校
3 . 在平面直角坐标系
中,曲线
的参数方程为
(
为参数),将曲线
上每一点的横坐标变为原来的
倍,纵坐标不变,得到曲线
,以坐标原点
为极点,
轴的正半轴为极轴建立极坐标系,射线
与曲线
交于点
,将射线
绕极点逆时针方向旋转
交曲线
于点
.
(1)求曲线
的参数方程;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f0b3463a7e4c78dc8c16e06bbb9bf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/807693bcbcd94f1c7f1e620dbc55f991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.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/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efd09912705e08177bc86e839c41b29.png)
您最近一年使用:0次
2019-12-11更新
|
446次组卷
|
2卷引用:2019届黑龙江省哈尔滨市第六中学高三第四次模拟考试数学(理)试题
名校
4 . 在同一平面直角坐标系中,经过伸缩变换
后,曲线C变为曲线
,则曲线C的方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b93f8f484e89941e82958910caede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25b3913ab3dbf56a6a4ef7a4915ef413.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2019-07-04更新
|
1019次组卷
|
2卷引用:黑龙江省大庆市大庆实验中学2020-2021学年高二下学期开学考试文科数学试题
名校
5 . 在平面直角坐标系中,经伸缩变换后曲线方程
变换为椭圆方程
,此伸缩变换公式是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c777a09e5f06bb402faf8a2c547cd96.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-04-10更新
|
980次组卷
|
3卷引用:【全国百强校】黑龙江省哈尔滨市第六中学2018-2019学年高二4月月考数学(文)试题