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1 . 矩阵的一种运算
,该运算的几何意义为平面上的点
在矩阵
作用下变换成点
,若曲线
,在矩阵
的作用下变换成曲线
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c158a0dafc1ed72d4cd92ce8be537d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eaadd274b7644891f5550a799a11bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe027ff8bff5b84819a7d2c514e9de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fa06df195ae83f7ea63b16158748be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5339be0bc4d6f090b6de7112636d500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760a793ad8dadeba59aef81106e95288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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真题
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2 . 某班试用电子投票系统选举班干部候选人,全班k名同学都有选举权和被选举权,他们的编号分别为1,2,
,k,规定:同意按“1”,不同意(含弃权)按0”,令
,其中
,且
,则同时同意第1,2号同学当选的人数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237e6478ccb922c911926fc7fe2c1954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940cd957b9db25326a0c7a413df7f1d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d796f419d4ef9ba590cb825ebb87cdd4.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2022-11-09更新
|
226次组卷
|
6卷引用:2019年上海市上海中学高三下学期数学测试2数学试题
2019年上海市上海中学高三下学期数学测试2数学试题2003年普通高等学校招生考试数学(理)试题(北京卷)2003年普通高等学校招生考试数学(文)试题(北京卷)(已下线)考向16 数列求和及数列的综合应用-备战2022年高考数学一轮复习考点微专题(上海专用)北京一零一中学2020-2021学年高一新生入学摸底测试数学试题辽宁省实验中学2023-2024学年高二下学期期中阶段测试数学试卷
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3 . 已知行列式
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8cc25dc1f79ea88d3c377780b95b0e.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4b297f5a53a79fbed1c513984bd220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8cc25dc1f79ea88d3c377780b95b0e.png)
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2020-12-02更新
|
99次组卷
|
2卷引用:上海市位育中学2021届高三上学期期中数学试题
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4 . 关于
的不等式
的解集为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4adf90da6e275fd7735b75916d91d1.png)
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5 . 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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6 . 已知矩阵
,
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ad0004771df5fef239fdb4e219229d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e8981113be6f5d7a9523ca222bfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d7366be948699262e4764bbc66dd46.png)
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7 . 已知矩阵
的一个特征值为
,向量
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae206edf2287a206ba6c5e7b93d7daff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed127ce2b4a6fc3573fb0a6bc4664aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13fb1e34c85baa2279c12c88b8b7b99.png)
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8 . 已知
,矩阵
的特征值
所对应的一个特征向量为
.
(1)求矩阵
;
(2)若曲线
在矩阵
对应的变换作用下得到另一曲线
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41c0fee0e838e21a54f1670272cc20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcac75bd925aec6c58d030b45aa4ba0.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/91d9ca6ab6f615a60145a29bb04d07f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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9 . 已知二阶矩阵M有特征值
及属于特征值4的一个特征向量
并有特征值
及属于特征值
的一个特征向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5c54cac499eca63b317a7a82872351.png)
(1)求矩阵M;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/645f7ad14b3bc8e25e66a6db2e67a3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb2adbeb3c989a133f18542ad04d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c300b4cce8a3cd83e81ec46c2a75165b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d596913e7356226332a9d9d1dea81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5c54cac499eca63b317a7a82872351.png)
(1)求矩阵M;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd6c505e4e0f9f2c89a5672c6dd1b555.png)
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10 . 已知矩阵
,
,求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd05e7a106366d89d29f981b96d9cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a613b04553bc8a0621b788a0cf3d180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6994cca5b8df73b467ce079d3bc68dd5.png)
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