14-15高三上·上海·期末
1 . 若关于x,y的线性方程组的增广矩阵为![](https://img.xkw.com/dksih/QBM/2014/4/11/1571615456354304/1571615461523456/STEM/3f97c2054f614165bbb15b45b4c2398c.png?resizew=7)
,该方程组的解为
,则mn的值等于_______
![](https://img.xkw.com/dksih/QBM/2014/4/11/1571615456354304/1571615461523456/STEM/3f97c2054f614165bbb15b45b4c2398c.png?resizew=7)
![](https://img.xkw.com/dksih/QBM/2014/4/11/1571615456354304/1571615461523456/STEM/eb79c9c15a934a7cb68898e3fb5d7a51.png?resizew=78)
![](https://img.xkw.com/dksih/QBM/2014/4/11/1571615456354304/1571615461523456/STEM/af92eeff079d48acbd0da5352dc11867.png?resizew=78)
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2 . 已知方程组
的增广矩阵为
,若方程组有无穷组解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6b3c1201f3b6b93c91ac551169d8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/727c6955e99dd5269fdbe8e27bc14300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
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3 . 已知线性方程组的增广矩阵为
,若该方程组的解为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9fe114651ec816d2648e5ca40995f7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/349e60328f059ade6f557f21761ab113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a20d803845c706326c77e1af53afc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9fe114651ec816d2648e5ca40995f7.png)
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4 . 关于未知数
,
的方程组对应的增广矩阵为
,则此方程组的解![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
______ ;
![](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/6710a7158c442a6d6305ffb9a4961213.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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5 . 已知线性方程组的增广矩阵为
,若该方程组解为
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1681798bc197aca5e58bb31177a341e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b577b6b61678833cd540031b12ac6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2020-02-12更新
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57次组卷
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2卷引用:上海市青浦高级中学2016-2017学年高二上学期期中数学试题
6 . 用矩阵变换的方法解方程组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28dca9584b8698d51af4b3663748decb.png)
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7 . 若线性方程组的增广矩阵为
,
为该方程组的解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b62a6a6167b2832999c152ed5b96ef.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795455aec0d529368d402a8ec352ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b62a6a6167b2832999c152ed5b96ef.png)
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8 . 写出下列线性方程组的系数矩阵和增广矩阵,用矩阵变换求解该方程组
,系数矩阵为______ ;增广矩阵为______ ;方程组的解为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7963d6655b4b6cdf092039462e77787e.png)
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9 . 已知二元一次方程组的增广矩阵为
,若此方程组无实数解,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf47293d3daa095372b1a1bf4ef7b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知线性方程组的增广矩阵为
,则方程组的解用行向量表示为_______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e55e2a2ad77d9b611fd2043f87f0de0.png)
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