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1 . 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
|
236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)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
2 . 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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3 . 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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4 . 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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名校
5 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
在
上恒有解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a00af37a95128db5d3745a7a327063.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2942e2647554b44127bfce7b22f36a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af98533fbc91ae52c1eeaf0592a86f8.png)
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2020-08-16更新
|
228次组卷
|
3卷引用:上海市行知中学2019-2020学年高一下学期期末数学试题
上海市行知中学2019-2020学年高一下学期期末数学试题上海市复旦大学附属中学2020-2021学年高二上学期10月月考数学试题(已下线)大题易丢分必做30题(提升版)-2020-2021学年高一数学期末考试高分直通车(沪教版2020,必修一)
6 . 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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7 . 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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8 . 设数列
是公比为
的等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced42c0f91c4921a3945eda52586de12.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced42c0f91c4921a3945eda52586de12.png)
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9 . 已知矩阵
的一个特征值为2,其对应的一个特征向量为
.
(1)求矩阵A;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8c82801f23fd1c407b3f0635183bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0920368ba6bf1a80cd0ffeb5aadf38a.png)
(1)求矩阵A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56f7dda48336b4051c633b4ee85cf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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名校
10 . 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/6e627ba686b73e3ba1f6b4f5918f8870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41291dbfd7d532792f2aeb1ef9519351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1684c8502e60b720f564a8340db532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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