名校
1 . 解关于
,
的二元一次方程组
,并对解的情况进行讨论.
![](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/e6bea6eaa806d4cfa739633bc4d9f827.png)
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2 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26f813ab4df719c86ecb2d1b5895fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
2021-10-12更新
|
170次组卷
|
3卷引用:上海市2022届高三上学期一模暨春考模拟卷(一)数学试题
上海市2022届高三上学期一模暨春考模拟卷(一)数学试题(已下线)课时29 二、三阶行列式-2022年高考数学一轮复习小题多维练(上海专用)上海市华东师范大学附属东昌中学2022届高三下学期阶段检测数学试题
3 . 方程组
无解,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70907f40d17609b4b5ff6a73cb67cb3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cdef58c3d8f3d50088ecd27e96f05b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70907f40d17609b4b5ff6a73cb67cb3.png)
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2021-01-25更新
|
161次组卷
|
4卷引用:上海市春季2021届高三高考数学试题
上海市春季2021届高三高考数学试题(已下线)课时28 矩阵的概念及运算-2022年高考数学一轮复习小题多维练(上海专用)(已下线)专题03 幂指对函数必考题型分类训练-1沪教版(2020) 25天高考冲刺 双新双基百分百9
4 . 已知矩阵A=
,点P(3,-1)在矩阵A对应的变换作用下得到点P′(3,5).
(1)求a和b的值;
(2)求矩阵A的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f1a8bc297e3b0eb56c7428f7381157.png)
(1)求a和b的值;
(2)求矩阵A的特征值.
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5 . 已知矩阵
的一个特征向量
.
(1)求实数a的值;
(2)若向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf151bb7309521e17c72cdd52734209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aee1e56778112ccddec2ab07fd4fe02.png)
(1)求实数a的值;
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc955ccd98460ea1f3cac5518b32bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547973c8f21bb13bc1cf869f2ebf437f.png)
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名校
6 . 已知行列式
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/730ee155423b176112780cb705a0df51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e0cb2c8dff267a0ca001787ce0fae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bc3fb6a6d660c31012897317d72166.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分也非必要条件 |
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7 . 已知矩阵
,矩阵
的逆矩阵
.
(1)求矩阵
;
(2)若曲线
:
在矩阵
对应的变换作用下得到另一曲线
,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9376f4eca61308cebd3cba615256af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b20490758703d7d98d03c7196c0955e.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e4a41cbe3d1f25154602dee11d36ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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8 . 已知
,矩阵
的特征值
所对应的一个特征向量为
.
(1)求矩阵
;
(2)若曲线
在矩阵
对应的变换作用下得到另一曲线
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ca22fc12ade9e60dbc749ba5cfa73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41c0fee0e838e21a54f1670272cc20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fcac75bd925aec6c58d030b45aa4ba0.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d9ca6ab6f615a60145a29bb04d07f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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9 . 已知矩阵
,
,求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd05e7a106366d89d29f981b96d9cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a613b04553bc8a0621b788a0cf3d180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6994cca5b8df73b467ce079d3bc68dd5.png)
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名校
10 . 已知二阶矩阵
的逆矩阵
.
(1)求矩阵
;
(2)设直线
在矩阵
对应的变换的作用下得到直线
,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e577d959106b0007c6f8431d27f7cb72.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261e2ccfee2e4df6e1f2021de5da27e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
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