1 . 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
|
169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
2 . 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)
您最近一年使用:0次
名校
3 . 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 |
您最近一年使用:0次
4 . 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)
您最近一年使用:0次
5 . 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)
您最近一年使用:0次
名校
6 . 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)
您最近一年使用:0次
7 . 在平面直角坐标系
中,曲线
的方程为
.设变换
、
对应的矩阵分别为
,
,求曲线
在依次实施变换下
、
后所得曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44af5d561dfd9cd5400d593add967a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79649c2ba27089bb838fabf737814dca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
您最近一年使用:0次
名校
8 . 已知矩阵
,其中
,若点
在矩阵A的变换下得到的点
.
(1)求实数m,n的值;
(2)求矩阵A的逆矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff05a6854b3e0476fdf80802c8d3af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68a83b4093280ea8750677f6828bf47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbcf0320d94734aedd3d4e2e31b9827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76499976f17505ddfabe220bfe7145a.png)
(1)求实数m,n的值;
(2)求矩阵A的逆矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a84646168f0afc4380043a52b818c35.png)
您最近一年使用:0次
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9 . 已知点
在变换
作用后,再绕原点逆时针旋转
,得到点
.若点
的坐标为
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e79d3583b37ec4f7cd0b8134aea5453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d03268e486f9fb09a44eca7d8ff7a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
10 . 已知矩阵
的逆矩阵
.
(1)求矩阵
;
(2)若向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b12486b54321fbf5e6a75b2d48d5bc2.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4df4fd170c7732cd33cb607fae4778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae21b210e60c4618ba522424354aafb.png)
您最近一年使用:0次
2020-07-16更新
|
102次组卷
|
3卷引用:江苏省南通市2020届高三高考数学2.5模试题