已知直线l:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9b769d70cb6f29e965c800921c8ea.png)
(1)矩阵A=
所对应的变换将直线l变换为自身,求a的值;
(2)若一条曲线C在关于直线l的反射变换下变为曲线C′:
,求此反射变换所对应的矩阵B,并求出曲线C的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9b769d70cb6f29e965c800921c8ea.png)
(1)矩阵A=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830b9f23782e11447f567760c4a1a2c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c79c23bb0fbba11cc94b17eccb2335.png)
(2)若一条曲线C在关于直线l的反射变换下变为曲线C′:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
更新时间:2019-05-06 14:55:01
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适中
(0.65)
【推荐1】(本小题满分10分,矩阵与变换)
已知矩阵
,矩阵
,直线
经矩阵
所对应的变换得到直线
,直线
又经矩阵
所对应的变换得到直线
.
(1)求
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的方程.
已知矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c82422af9bb7bad3a29bbab0915a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efd5ca628e39905068e0045600a5e3f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb37c3caee98909bce78d6dd51ffb4f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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适中
(0.65)
【推荐2】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)
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![](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)
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【推荐1】在平面直角坐标系
中,直线
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对应的变换作用下得到的直线仍为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f4cdcf0f78d0029b08491655954f5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512f4c29ff276b7f35052ad4cc255ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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【推荐2】已知矩阵
.
(1)求
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(2)若曲线
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ad0004771df5fef239fdb4e219229d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
(2)若曲线
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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