1 . 若二阶矩阵
满足
.
(1)求二阶矩阵
;
(2)若曲线
在矩阵
对应的变换作用下得到曲线
,求曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65f9ef504dc62b0ce159dbe325fa061.png)
(1)求二阶矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4428756f1088ce78ed97cbcea99775f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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2 . 试求曲线y=sinx在矩阵MN变换下的函数解析式,其中M
,N
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c88f455bd6d9d53bba83d260b8eb919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024e32d6c004b92f40b065a0772b8484.png)
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3 . 已知矩阵
,A的两个特征值为
,
=3.
(1)求a,b的值;
(2)求属于
的一个特征向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccb510e349a9268e3e0490951412ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbf277c524060010c4026df547808a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
(1)求a,b的值;
(2)求属于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7345f310975ddb40dca94b5135c35dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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名校
4 . 已知矩阵
,向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0136429036b057c26348a5bf8ee2152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8511eaf25da50659c11a9ccc9a65d3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68555568c030eb425271141b6511ce89.png)
您最近一年使用:0次
2020-03-25更新
|
112次组卷
|
3卷引用:江苏省南通市2020届高三(3月份)尖子生班高考数学模拟试题(一)
5 . 已知矩阵
,二阶矩阵
满足
.
(1)求矩阵
;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f236966a1aeb41fcf2519a91b152d163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320d65720e56ddc4c5c2ada5869a4e0b.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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6 . 已知矩阵
,其中
,若点
在矩阵A的变换下得到点
,求矩阵
的两个特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf71e0dd5e64c8713b82988c89c19d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f42969469ecd742b9231f6af79933c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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7 . 已知线性变换
是顺时针方向选择90°的旋转变换,其对应的矩阵为
,线性变换
对应的矩阵为
,列向量
.
(1)写出矩阵
,
;
(2)已知
,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c6fba958ec7ab8e2939af0a8a3c190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee663e49d8a4565ab6b68debfa99cbe.png)
(1)写出矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015e7dbf730dbdc3efa10ba7e2e3c20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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8 . 已知矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f73771ccf40e99fc7422e0d733e8e9.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696fcb7889c039ed4867292cd83544c3.png)
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9bee7a3e6a2c01e3196fd1dbe40cb4.png)
(1)求实数
;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f73771ccf40e99fc7422e0d733e8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ebe6fdff5e34e0a10766cd684597c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696fcb7889c039ed4867292cd83544c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c5baf234d46468624124fd25b4940c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9bee7a3e6a2c01e3196fd1dbe40cb4.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2020-03-09更新
|
129次组卷
|
2卷引用:2020届江苏省南京师范大学附中高三下学期第一次模拟考试数学试题
名校
9 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133a58ec94627e42cf96f5a65141c2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2020-03-07更新
|
135次组卷
|
2卷引用:2020届上海市宝山区高三一模数学试题