真题
1 . 在平面直角坐标系
中,设椭圆
在矩阵
对应的变换下得到曲线F,求F的方程,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2db3534aaf21bbc27448be9ee90a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fa12d00ceeffdd2025ea6ce19e351c.png)
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2 . 判别关于
,
的二元一次方程组解的情况,并解方程组:
.
![](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/be8d3722dd5393c4900a2c49b6879421.png)
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3 . 解关于
的方程组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029513acc9425135506e0c386c426978.png)
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4 . 关于
,
的二元线性方程
的增广矩阵经过变换,最后得到的矩阵为
,求
,
.
![](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/777f2113acaeab1f50b0ee2adbe31265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0dc24b10ff49293e3d090cafd931e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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5 . 选修4—2:矩阵与变换:已知矩阵M=
的逆矩阵M-1=
,求实数m,n.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bea57f3edfb516eb2f0c9ce49aeaff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97772dc562942af184b9a4ed3273299d.png)
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6 . 若点
在矩阵
对应变换的作用下得到点B
,求矩阵
的逆矩阵.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1835a9a2d791bdf96de83d725987b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7005cfeb4cda60bdbd3a71cd834060a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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2012·福建福州·一模
7 . 利用矩阵解二元一次方程组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c13d1200518734518aa83ef9391e01.png)
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