13-14高二下·福建莆田·期末
1 . 变换T1是逆时针旋转
角的旋转变换,对应的变换矩阵是M1;变换T2对应的变换矩阵是M2=
.
(1)点P(2,1)经过变换T1得到点P',求P'的坐标;
(2)求曲线y=x2先经过变换T1,再经过变换T2所得曲线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6675a3e76fc37b4cf69b3661b734daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c245e1e79a6dd2c26e1f155adf9386fe.png)
(1)点P(2,1)经过变换T1得到点P',求P'的坐标;
(2)求曲线y=x2先经过变换T1,再经过变换T2所得曲线的方程.
您最近一年使用:0次
2016-12-04更新
|
268次组卷
|
3卷引用:2013-2014学年福建省莆田第八中学高二下学期期末考试理科数学试卷
(已下线)2013-2014学年福建省莆田第八中学高二下学期期末考试理科数学试卷2016届江苏省南京市高三第三次学情调研测试数学试卷专题11.5 矩阵与变换(练)-江苏版《2020年高考一轮复习讲练测》
2 . 选修4-2:矩阵与变换
已知线性变换
把点
变成了点
,把点
变成了点
.
(1)求变换
所对应的矩阵
;
(2)求直线
在变换
的作用下所得到的直线方程.
已知线性变换
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ec17e3deee2eb0642298e7422998f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114ee1693d89167c1eeae64695b6b82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd0a7f9ee3c6ccaea8dd3d5ad042e5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d09499542f54aa2221c2a8ad3ba9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f99bddac58806e0024a1268378fe53d.png)
(1)求变换
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ec17e3deee2eb0642298e7422998f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9c827e46d1a395fafbf15cdd6c6c42.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c1c336cf4c00210b40827437968871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ec17e3deee2eb0642298e7422998f7.png)
您最近一年使用:0次
3 . 已知矩阵A![](https://img.xkw.com/dksih/QBM/2015/3/6/1571993255559168/1571993261367296/STEM/75a8ce04b70245ad8623c18821a34cb5.png?resizew=69)
且
,则x+y=__________ .
![](https://img.xkw.com/dksih/QBM/2015/3/6/1571993255559168/1571993261367296/STEM/75a8ce04b70245ad8623c18821a34cb5.png?resizew=69)
![](https://img.xkw.com/dksih/QBM/2015/3/6/1571993255559168/1571993261367296/STEM/74f67d843c3047418658c5b27609f4a7.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2015/3/6/1571993255559168/1571993261367296/STEM/6bedc595de344daab382296fa3cbdd38.png?resizew=80)
您最近一年使用:0次
14-15高三上·福建龙岩·期末
4 . 二阶矩阵M对应的变换将点(1,-1)与(-2,1)分别变换成点(-1,-1)与(0,-2).
(1)求矩阵M;
(2)设直线l在变换M作用下得到了直线m:x-y=4,求l的方程.
(1)求矩阵M;
(2)设直线l在变换M作用下得到了直线m:x-y=4,求l的方程.
您最近一年使用:0次
5 . 已知曲线
绕原点逆时针旋转
后可得到曲线
,
(I)求由曲线
变换到曲线
对应的矩阵
;.
(II)若矩阵
,求曲线
依次经过矩阵
对应的变换
变换后得到的曲线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/584c570b245b42f89b2246a4e411fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f09c1db467f8c0ddc99bd1cc07a17d7.png)
(I)求由曲线
![](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/4b104090ea2ac34be58a76a4e0e95cb3.png)
(II)若矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5839222b3af31d9baf4fb7c530d9b8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237c115d5b39d761e1cbcae031070b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5dd698ddbe275267809650dc551e34.png)
您最近一年使用:0次