1 . 已知矩阵A=
,a
R.若点P(1,1)在矩阵A的变换下得到点P′(0,﹣2).
(1)求矩阵A;
(2)求点Q(0,3)经过矩阵A的2次变换后对应点Q′的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f158754ddf2e3f60ec4d9e1693be04a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
(1)求矩阵A;
(2)求点Q(0,3)经过矩阵A的2次变换后对应点Q′的坐标.
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2 . 已知矩阵
,
,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
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c82422af9bb7bad3a29bbab0915a99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efd5ca628e39905068e0045600a5e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21b48a99b6c3582a0e62e164430e81e.png)
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
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3 . 如果曲线
在矩阵
的作用下变换得到曲线
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a5d5b64f146debaf40c20dc8a06978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525c33b4d71f354a38b712261ff9e955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0462d65177e3d66462351f5636be738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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4 . 已知曲线
在矩阵
对应的变换作用下得到曲线
,求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f25834d8218c53cb975c2a2fe7442a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7b51cbd592779d180eb62e8ae26d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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5 . 选修4—2:矩阵与变换
已知变换
把平面上的点
,
分别变换成
,
,试求变换
对应的矩阵
.
已知变换
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2b6e67b303b4ed4ef9ea3c8085d664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bb905e1e066eb99c57459230b898bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c369bfacb8fd463a7db5d196418e1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af9416366f4ad7a3f85c6da20e0a58c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2016-12-04更新
|
304次组卷
|
2卷引用:专题11.5 矩阵与变换(练)-江苏版《2020年高考一轮复习讲练测》