1 . 定义
为向量
到向量
的一个矩阵变换,设向量
为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7c1e2c35812a602502841ed6c402b3.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0df4654f75c155ddce56936fc73d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4555aaa044fa3370a55f208f8361e787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b257c5e82589ea530dc7e2b5a8d1bd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ab10bbdafdae8e04bc246ca2cf413d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7c1e2c35812a602502841ed6c402b3.png)
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2 . 已知直线
在矩阵
对应的变换作用下变为直线
:
,则直线
的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fabb4e3a345de04a56a8bf9781c8603a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/354f8e9d6cca157b95877d6540d16fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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3 . 圆C1:
在矩阵M=
对应的变换作用下得到了曲线C2,曲线C2在矩阵N=
对应的变换作用下得到了曲线C3,则曲线C3的方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a79be9ee5b5bf8ba317c98fa5895433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0778688a4b77dc37ee8dddceb826cdb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad244a7b58320bbc23bc9c3d313f34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cce6dfd25933c621b304f4566196f.png)
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4 . 已知曲线
在矩阵
对应的变换下得到曲线
,则曲线
的方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884a6f948a41e2c8aed9506395a875f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33859c3658f445382eccb5d038fa81e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
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5 . 若点
在矩阵
的变换下分别得到点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c792203db1af3b45b65dcb86749372.png)
.
(1)求矩阵
;
(2)若曲线
在
的作用下的新曲线为
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ef48a1d17c148ff4ae496f5eb31de6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c792203db1af3b45b65dcb86749372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6527ae4b8841305f82e7797b68fb9fa1.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若曲线
![](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/f64b7ab668d61bcb8ec6d195c672a81e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
9-10高二下·江苏盐城·期末
6 . 在直角坐标系中,已知椭圆
,矩阵阵
,
,求在矩阵
作用下变换所得到的图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9645e4bbf8c1126d8c30719f2dee3651.png)
![](https://img.xkw.com/dksih/QBM/2010/9/7/1569827656343552/1569827661414400/STEM/0154d6d99b7c41e69498a0848df196ab.png?resizew=83)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cebf90a5593513fbb6576e68132f6ea.png)
![](https://img.xkw.com/dksih/QBM/2010/9/7/1569827656343552/1569827661414400/STEM/b0a3f69478b542088ae4e7c4c741498c.png?resizew=31)
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