1 . 在平面直角坐标系
中,已知
,
,
.设变换
,
对应的矩阵分别为
,
,求对
依次实施变换
,
后所得图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faef8169baa38bb7af7212ea69fd99f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34475572a5c8993b8bc7803eac6afc35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d36cf4115062073e8a0468bae7e8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d451da63e7dae5c03460af2566fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20efdbe21ca5d83a1437f89c5fe1ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
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2 . 已知矩阵
,
,且
.
(1)求矩阵
;
(2)直线
在矩阵
对应的变换作用下变为直线
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35157060228e8d151bce2d0a7c77fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2552d1efaab9607a51abd481f5a64f24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05d5cdc99b863f26c030f8253ae8de4.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710c58628d4a3990ac8347dfa2d2ca7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-05-13更新
|
89次组卷
|
2卷引用:2020届江苏省扬州市高三下学期5月调研测试数学试题
3 . 已知列向量
在矩阵
对应的变换下得到列向量
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93de6bcd660ecb8b8502a99042b00166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170550d1ec3dbecf60d9c0e032fc07cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1987580b054aa27bb03b38ffd2d57e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741b5d472dbf09afa69442f57d54780b.png)
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2020-05-09更新
|
108次组卷
|
2卷引用:2020届江苏省泰州市高三下学期调研测试数学试题
4 . 若二阶矩阵
满足
.
(1)求二阶矩阵
;
(2)若曲线
在矩阵
对应的变换作用下得到曲线
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65f9ef504dc62b0ce159dbe325fa061.png)
(1)求二阶矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4428756f1088ce78ed97cbcea99775f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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5 . 已知矩阵
,
,则矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3e738f9c413a0b1e3de7479b8b244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249b9b24f590c7dd1de8fd77cb8d5309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7641b4223fb77a9a712ff9b3ec55bc.png)
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2020-04-24更新
|
81次组卷
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2卷引用:江苏省徐州市2018-2019学年高二下学期期末理科数学试题
6 . 矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985cccc81fc4d82fb2b5d12b8273775b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985cccc81fc4d82fb2b5d12b8273775b.png)
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名校
7 . 行列式
中
的代数余子式的值等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d9de4ef85ecbf840c2eef75d382369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
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8 . 在平面直角坐标系
中,先对曲线
作矩阵
所对应的变换,再将所得曲线作矩阵
所对的变换.若连续实施两次变换所对应的矩阵为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81af7987b2ee736b3f9bfb82f7f4dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a087861eebda79aaab76f210faee76b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1684c8502e60b720f564a8340db532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da174d0157c6e2fe777e46e00e40b33.png)
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2019-05-05更新
|
358次组卷
|
3卷引用:【全国百强校】江苏省海安高级中学2019届高三第二学期四月模拟考试数学试题
9 . 行列式
中元素3的代数余子式的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44add43c3a81e4e35da0d33ed53ee25c.png)
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2020-02-07更新
|
46次组卷
|
2卷引用:上海市理工附中等七校2016届高三下学期3月联考(文)数学试题
2012·上海·三模
名校
10 . 若关于
的三元一次方程组
有唯一解,则
的取值的集合是____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217564f486a5d716bf4940dbeb9f7ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9132266101fc2e1262eb79102133987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2016-12-01更新
|
1281次组卷
|
3卷引用:2012届上海市七宝中学高三模拟考试理科数学