真题
1 . 已知直线
在矩阵
对应的变换作用下变为直线
.
(1)求实数
,
的值
(2)若点
在直线
上,且
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8a0937d041832815a07ca6e5684a1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c621edbbcb5cbc648568f1058729fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d257e52063f42fbaf460df4c73bfeb30.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf0d139c9810361b4971904a943856b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576edaf54ef0adf171dbdf3bec559aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
12-13高三上·四川泸州·阶段练习
2 . 若定义在R上的函数
满足
,
,则称
为R上的线性变换,现有下列命题:
①
是R上的线性变换
②若
是R上的线性变换,则![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/ec5e562e418e42fab589cbb8d4c3a66d.png?resizew=93)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af7267fa641fe998666f090bac90f6e.png)
③若
与
均为R上的线性变换,则
是R上的线性变换
④
是R上的线性变换的充要条件为
是R上的一次函数
其中是真命题有________ (写出所有真命题的编号)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/316351d562c047fd920de24e239dea95.png?resizew=194)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/e9e256b32e6f43d6b6d48e14058310cb.png?resizew=138)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
①
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/120dbe0fcab84dc791a7252a9fdcb025.png?resizew=69)
②若
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/ec5e562e418e42fab589cbb8d4c3a66d.png?resizew=93)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af7267fa641fe998666f090bac90f6e.png)
③若
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/c16179ac6fbe40acaaf991b63470aeeb.png?resizew=34)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/4a5744ceca9442b9ad865b6cba7fe925.png?resizew=80)
④
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2012/2/26/1570774191767552/1570774197239808/STEM/6044816e2cdd470ca3e91edd19c7d069.png?resizew=36)
其中是真命题有
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3 . 若
,则
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5fadb34de6258b34453183765fb67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579754296e38f32e183c528184af6e68.png)
您最近一年使用:0次
9-10高二下·江苏盐城·期末
4 . 在直角坐标系中,已知椭圆
,矩阵阵
,
,求在矩阵
作用下变换所得到的图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9645e4bbf8c1126d8c30719f2dee3651.png)
![](https://img.xkw.com/dksih/QBM/2010/9/7/1569827656343552/1569827661414400/STEM/0154d6d99b7c41e69498a0848df196ab.png?resizew=83)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cebf90a5593513fbb6576e68132f6ea.png)
![](https://img.xkw.com/dksih/QBM/2010/9/7/1569827656343552/1569827661414400/STEM/b0a3f69478b542088ae4e7c4c741498c.png?resizew=31)
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5 . 对于集合A,定义了一种运算“
”,使得集合A中的元素间满足条件:如果存在元素
,使得对任意
,都有
,则称元素e是集合A对运算“
”的单位元素.例如:
,运算“
”为普通乘法;存在
,使得对任意
,都有
,所以元素1是集合R对普通乘法的单位元素.下面给出三个集合及相应的运算“
”:
①
,运算“
”为普通减法;
②
,运算“
”为矩阵加法;
③
(其中M是任意非空集合),运算“
”为求两个集合的交集.
其中对运算“
”有单位元素的集合序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857a4984543f15c4637084f0e0db0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c88aa4c16567c4cfda0fe4df69751a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d15b0b4873f8b9320f22437525bc96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845198de78fd8737a5bce7178622ca36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c01a4595d9129a944090973728205a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a4e50298e5cc496e0d4e00d84403ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
其中对运算“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
A.①② | B.①③ | C.①②③ | D.②③ |
您最近一年使用:0次
2015-01-28更新
|
746次组卷
|
6卷引用:2015届上海市闸北区高三上学期期末练习理科数学试卷
2015届上海市闸北区高三上学期期末练习理科数学试卷2015届上海市闸北区高三上学期期末练习文科数学试卷上海市静安区2017-2018学年度第一学期高中教学质量检测高三数学试卷上海市复旦大学附属中学2019届高三高考4月模拟试卷数学试题(已下线)第1章《集合》 培优测试卷(一)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)(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)