1 . 求出曲线
依次经过矩阵
,
作用下变换得到的曲线方程
,求实数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58baa1501e3502998a10756803ffa24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9c14a3e83c8236136680e83dda816a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2 . 曲线
在矩阵
的作用下变换为曲线
,求
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f6d926590ae5d35e8a6123074413e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69085f74c23f1152b5f0a1bb19acd362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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3 . 已知曲线C:x2+2xy+2y2=1,矩阵A=
所对应的变换T把曲线C变成曲线C1,求曲线C1的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5e60de441946de25eec2711ef14cf5.png)
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解题方法
4 . 将曲线xy=1绕坐标原点按逆时针方向旋转45°,所得曲线的方程为______ .
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5 . 已知矩阵
,
,则A2B=_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8211ee8e67ee919a0ad3d3eafce63180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8657df633ac5d979763ab69006b84.png)
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名校
6 . 已知矩阵
,
,
,且
,则
的值为__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a108c69f8cfd68c11e39b64f6ece1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2441a4e398ae25d50686fb67d23383d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927c5be78bfb7f29a0b2f8de76334a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccb599cd92762b73de0b90ea008c19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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2020-02-04更新
|
78次组卷
|
2卷引用:上海市上海师范大学附属中学2016-2017学年高二上学期期中数学试题
7 . 定义
为向量
到向量
的一个矩阵变换,设向量
为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7c1e2c35812a602502841ed6c402b3.png)
_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0df4654f75c155ddce56936fc73d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4555aaa044fa3370a55f208f8361e787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b257c5e82589ea530dc7e2b5a8d1bd20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ab10bbdafdae8e04bc246ca2cf413d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7c1e2c35812a602502841ed6c402b3.png)
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8 . 已知矩阵
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8647b84bfbc7d827f56be74888b9fdb6.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea29a03c1010dd728e933331abd062b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d024f0fc7981e44ec6070963f9e5499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8647b84bfbc7d827f56be74888b9fdb6.png)
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2020-02-01更新
|
49次组卷
|
2卷引用:2016届上海市杨浦区高三上学期期末“3+1”质量调研(文)数学试题
名校
9 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7ffbcf06aef85e82898aef1629d5a6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7ffbcf06aef85e82898aef1629d5a6.png)
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名校
10 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2031503ae022d87ca04b5309bd29f993.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2031503ae022d87ca04b5309bd29f993.png)
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