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1 . 设2阶方矩阵
,则矩阵A所对应的矩阵变换为:
,其中
,
,其意义是把点
变换为点
,矩阵M叫做变换矩阵.
(1)当变换矩阵
时,点
,
经矩阵变换后得到点分别是
,
,求经过
,
的直线的方程;
(2)当变换矩阵
,点
经矩阵
的作用变换后得到点
,求实数m,n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66226d08dd84a2e6dc096c3fcfc7e41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc163fa0a2929ff019012aa3623088b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909e45af90756a0dc1fee910b1661974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8061249592e9502a68f0d5b52172724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08f646952c521d4f022af322b179a0a.png)
(1)当变换矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8b0cf31caa3e7c5c7dced1559726f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98ef6b26186130f8d88c66d3b3c78fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87cae2228b72a1ec635860203496967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e210795a966bd5dc1293479ab1988b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e210795a966bd5dc1293479ab1988b.png)
(2)当变换矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5184ca29a211cfb1c6b492993a608edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518dfce0a9aab04171383586c5077146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8fd27ebdd03bd80b1843c3f79e55ee.png)
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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
|
234次组卷
|
6卷引用: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)
(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)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)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
2022高三·全国·专题练习
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3 . 已知行列式
=6,则
=__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1294ff156395184b57b6baee6e3a9b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9167e52350fa18200d3288eee158893c.png)
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4 . 若关于
的线性方程组的增广矩阵为
,该方程组的解为
,则
的值等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f640d4c6ea2591d85488d00d13da92d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb312945a38bba8f95bb992785c5651f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815908b3b62f61a58ad2d99d3052435b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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5 . 已知
,则行列式
的值为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84effab46d6bfc6cb110963e027a6b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a362a3e4e7636e04dcb9eabe9b62ff.png)
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6 . 三阶行列式
中,元素2的代数余子式的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde3b4f3a435a3f8cee4bcd151893c3d.png)
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7 . 函数
的最小正周期为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c524062702d929610a52765881dfa5.png)
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2021-12-20更新
|
220次组卷
|
2卷引用:上海市闵行区2022届高三上学期一模数学试题
8 . 已知
是方程
的解,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bcec262d2f1548872aae78e2fb970d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
,当
时,函数
的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031abd6d3b2692ea8a33de9fdaab9a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6472a1f5badb777a3926d1503597706f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82dee78784d1b1841d8ed52c47a8163.png)
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10 . 已知
,
是一元二次方程
的两根,若二元一次方程组的增广矩阵是
,其解为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9fe114651ec816d2648e5ca40995f7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56009cf2af93e6e646d6e38f1e0dfb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ca5de8f7c1461eeea5599fc4def62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44ae75d56115d1c5b8e52372ef28cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9fe114651ec816d2648e5ca40995f7.png)
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