1 . 已知矩阵
的一个特征值为2,其对应的一个特征向量为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c812964b5814194efc759afd65189253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db8ecbc8c605779a8a70d3ae4a8253b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
2 . 设点
在矩阵
对应变换作用下得到点
.
(1)求矩阵
;
(2)若直线
在矩阵
对应变换作用下得到直线
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c928e1c0142cdc41024dbfc8187ec37.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8799edb41b09f2c0dbbe725c74e66184.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
名校
3 . 已知矩阵
,向量
,计算
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0136429036b057c26348a5bf8ee2152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db83f79867f6edfc560881d07ad7379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68555568c030eb425271141b6511ce89.png)
您最近一年使用:0次
2019-12-04更新
|
153次组卷
|
3卷引用:2016届江苏省苏北三市高三最后一次模拟考试数学试卷
4 . 已知线性变换
是按逆时针方向旋转90°的旋转变换,其对应的矩阵为
,线性变换
:
对应的矩阵为
.
(1)写出矩阵
;
(2)求直线
先经过
变换,再经过
变换后的曲线方程.
![](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/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6799f4e76bc51a76e1f26508c1ec7e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)写出矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aa3adcb154f6144903d456289ecb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
您最近一年使用:0次
5 . 已知矩阵
,其中
,若点
在矩阵
的变换下得到点
.
(1)求实数
的值;
(2)求矩阵
的特征值及其对应的特征向量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20532ff147ad00ef71eae279b2ddeed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c87eb8e0607f1c21e944ab1f7cc823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b50bd961769d4b0e4a608b9774146e.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/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2019-10-30更新
|
121次组卷
|
2卷引用:江苏省镇江一中、大港、南三等八校2019-2020学年高三年级上学期调研数学试题
6 . 已知矩阵
,
,且
.
(1)求实数
、
的值;
(2)求矩阵
的特征值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc1773057af50742a11c13538702bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9542192476d384dc71549adae54b0135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8ea27342e250877fdef55f6bc3cf10.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2019-09-19更新
|
63次组卷
|
2卷引用:江苏省南通市海安高级中学2019-2020学年高三上学期9月月考数学试题
名校
7 . 已知二阶矩阵
,矩阵
属于特征值
的一个特征向量为
,属于特征值
的一个特征向量为
.求矩阵
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed200695647fef921e0c4dcae71f938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4712ae924da953c4451dd78b8d6ac2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4c240ca21dfe615b260aff275c63fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278ddba8d8863b9cd1bb2d0ae292db78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48770a8b911fb7b155af453bf348e75f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2019-07-16更新
|
347次组卷
|
6卷引用:江苏省南京市江宁区2018-2019学年高二第二学期期末学情调研卷数学试题
名校
8 . 矩阵与变换:变换
是逆时针旋转
的旋转变换,对应的变换矩阵是
变换
对应用的变换矩阵是
求曲线
的图象依次在
变换的作用下所得曲线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9275bd8ce17fcc4a786510b008414ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a788480a46738319df245bf7fe85cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5dd698ddbe275267809650dc551e34.png)
您最近一年使用:0次
2019-06-12更新
|
295次组卷
|
3卷引用:【市级联考】江苏省苏州市2019届高三高考模拟最后一卷数学试题
9 . 已知矩阵
的两个特征值为
,
.求直线
在矩阵
对应变换作用下的直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28788dcc8cd0aa50eb3d2376111da926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbf277c524060010c4026df547808a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c612b03b0d981eb238858510609620d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3497af3942a788b64c6b91b62a8dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29bcdd8c05cd04f46c6f4ba8aa3cb1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2da6ef88591589f330304297d3abfcb.png)
您最近一年使用:0次
名校
10 . 在平面直角坐标系
中,先对曲线
作矩阵
所对应的变换,再将所得曲线作矩阵
所对的变换.若连续实施两次变换所对应的矩阵为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81af7987b2ee736b3f9bfb82f7f4dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a087861eebda79aaab76f210faee76b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1684c8502e60b720f564a8340db532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da174d0157c6e2fe777e46e00e40b33.png)
您最近一年使用:0次
2019-05-05更新
|
358次组卷
|
3卷引用:【全国百强校】江苏省海安高级中学2019届高三第二学期四月模拟考试数学试题