1 . 以下能成为以行列式形式表示的直线方程
的一个法向量的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f25d23d0f767500f07f841de759934.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 关于
的方程
的解为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db264a8c625453f94484dfdc0efc0a51.png)
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3 . 写出系数矩阵为
,且解为
的一个线性方程组是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129745143439daa8dd5f9e269054a1c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a163105f5b98a9aaf5b053e82288e0.png)
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4 . 关于
、
的方程组
有无穷多组解,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55173620f7586137948c6737a6d7b3b.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55173620f7586137948c6737a6d7b3b.png)
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6 . 行列式
中, 元素4的代数余子式的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69b94b1c9c4e9eca97031dbe79f611c.png)
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7 . 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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2022高三·全国·专题练习
8 . 计算行列式
=__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d126fae9a9e8bad29317ba90f59e35.png)
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2022高三·全国·专题练习
9 . 数列{an}各项均为实数,对任意n∈N*满足an+3=an,且行列式
=c为定值,则下列选项中不可能的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a5b1e6901a7946441e279e7ba1ed36.png)
A. ![]() | B. ![]() |
C. ![]() | D. ![]() |
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