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1 . 以下向量中,可以作为直线
的一个方向向量是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed6eae10db11b6cff33b84a7ab57cd5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 二阶方阵
称矩阵
为A的转置矩阵记作
,设M、N是两个二阶矩阵,对于下列四个结论:(1)
;(2)
;(3)
;(4)
是“
”的充分不必要条件;其中真命题的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef5a391556b93459424c3290723d85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e85eba90133884a401a05bf194026b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43119d8fbc6109491526b1a2fb7fd5c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bae0a6e3e8a6412479765aab95f0cb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c24758c46e929af55a39db39f84f701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2eb0c8c6fd1e9f589fdebc68fec9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25e2166e930e610667a2e3020e41040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6cf79926d7ac35864fc0d5eeff08f2.png)
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3 . 用行列式讨论下列关于
、
、
的方程组
的解的情况,并求出相应的解.
![](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/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8ba705e34e595b58609289bc36cb03.png)
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4 . 在
行
列矩阵
中,若记位于第
行第
列的数为
,则当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb9ed76cdc491ccafa82644fd6e35a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91ffc90537600d1af85f12f33d1b1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4ba04f03a5ea1f60a340038c1bfec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b1672953164c806fee8e7d6d8336c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb9ed76cdc491ccafa82644fd6e35a.png)
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5 . 若存在正数
使
成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c4eda93081f48d2f7cab467444fbde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 利用行列式解关于
、
的二元一次方程组
.
![](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/aed6963da4f27a60cdbc7e90b25089b1.png)
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7 . 已知二元一次方程组
的增广矩阵为
,则方程组的解为_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91fa78432d1a129cff2637c9bea7733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f68a73eb3d5f4823677856c7d71718.png)
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