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1 . 设二元一次方程组
恰有一组解(α,β), 则方程组
解(x,y)等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a1e7eed925bba05d687a9d993de75c.png)
A.(3α,3β) | B.![]() | C.![]() | D.(15α,6β) |
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14-15高三上·上海·期末
2 . 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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3 . 若关于
的方程组
有唯一解,求实数
的取值范围并求出此方程组的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212208c70ee2ec2773162b60bded2d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 用行列式讨论方程组
(
)解的情况.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78149a12d8892bc2a1f6d58568b4fcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
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5 . 用行列式解关于
的方程组
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b2c3f179071927c96631fe75d1e782.png)
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6 . 已知关于
、
的方程组
,
为常数,且
.
(1)写出此方程组的系数矩阵;
(2)解此方程组.
![](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/671afef8db94741a7256e3194a438e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)写出此方程组的系数矩阵;
(2)解此方程组.
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7 . 利用行列式解此方程组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367c09ff4203895949e23b332c23c762.png)
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8 . 已知矩阵方程
.
(1)请将以上方程写成关于
,
的实数方程组形式,并用行列式讨论并求解关于
,
的二元一次方程组的解的情况;
(2)请阐述以上代数问题(1)的几何意义.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3121009c4161d76c3bf3afef03ee7a.png)
(1)请将以上方程写成关于
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)请阐述以上代数问题(1)的几何意义.
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9 . 关于
、
的方程组
( )
![](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/77f7d41d1574a53a32abb44405f46369.png)
A.有唯一的解 | B.有无穷多解 |
C.由![]() | D.无解 |
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10 . 关于
、
的方程组
有无穷多组解,实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.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/e05f5c9e444dfe5ec3c1c06aaec1da5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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