2012·福建宁德·二模
1 . 已知矩阵
,向量
.求向量
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0511bb89350dc046a8849932d88f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48703711743c7179c0ebe9e6fa51ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c5ecf60b216597b87406f5f283039b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dccc71fabcb7fb8e2fa9b6b1d35c531.png)
您最近一年使用:0次
2019-01-30更新
|
921次组卷
|
6卷引用:2012届福建省福鼎一中高三第二次质检理科数学复习卷(一)
(已下线)2012届福建省福鼎一中高三第二次质检理科数学复习卷(一)(已下线)2012届江苏省淮阴中学、海门中学、天一中学高三联考数学(已下线)2012届江苏省南通市通州区高三4月查漏补缺专项检测数学试卷(已下线)2013届江苏省淮安市清江附中高三第二次调研测试数学试卷沪教版(上海) 高三年级 新高考辅导与训练 第二部分 走近高考 第七章 矩阵与行列式、算法初步、复数高考题选(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)
2 . 设曲线
2在矩阵
对应的变换作用下得到的曲线为
.
(1)求实数
的值
(2)求
的逆矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962d6224a03ea636ce5ab8578cf8a9ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc4e5ac939c417625899ddcd0565ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ff2912fd8d93b6e692936d95b727c5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a335fc7c2c46946f0bf908c78bcc46fa.png)
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2014·福建·一模
名校
3 . 选修4-2 矩阵与变换
在直角坐标平面内,每个点绕原点按逆时针方向旋转
的变换
所对应的矩阵为
,每个点横、纵坐标分别变为原来的
倍的变换
所对应的矩阵为
.
(1)求矩阵
的逆矩阵
;
(2)求曲线
先在变换
作用下,然后在变换T作用下得到的曲线方程.
在直角坐标平面内,每个点绕原点按逆时针方向旋转
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fa0c19ec5fe6c4e44c4d2120744f6.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08170cf03675ba4759fcf364155801a2.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ac349e56cff0f08cc3d0d367004210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
2018-06-14更新
|
285次组卷
|
3卷引用:2014届福建省高三高考压轴理科数学试卷
2010·福建厦门·一模
4 . 选考部分
(1)如图,向量
被矩阵M作用后分别变成
,
(Ⅰ)求矩阵M;(Ⅱ)并求
在M作用后的函数解析式;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/dc1700bd-d555-4cc7-bd49-f34d66857c3f.png?resizew=179)
(2)已知在直角坐标系x0y内,直线l的参数方程为
.以Ox为极轴建立极坐标系,曲线C的极坐标方程为
.若C与L的交点为P,求点P与点A(-2,0)的距离|PA|.
(1)如图,向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fc4d357d34ed2fb2fa603b508a7f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1b2bc4654a1aea875148de2178e98a.png)
(Ⅰ)求矩阵M;(Ⅱ)并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f85c6c4b88dc525558e3b99ed6f0ff1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/dc1700bd-d555-4cc7-bd49-f34d66857c3f.png?resizew=179)
(2)已知在直角坐标系x0y内,直线l的参数方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3659dd853756932f7630b679349d05a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14dedcefd8f82f0ba6b8af4e2f0877ca.png)
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5 . 选修4-2:矩阵与变换
已知直线
,若矩阵![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4261e719a7d15afdd977c051f8a41859.png)
所对应的变换
把直线
变换为它自身.
(Ⅰ)求矩阵A;
(Ⅱ)求矩阵A的逆矩阵.
已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7da02a88a916b39050e7baf56c79ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4261e719a7d15afdd977c051f8a41859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057db09504e1a3e62cd7fc678a7c31ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd5a5a95fc192ea9c2662ddb6ec15f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(Ⅰ)求矩阵A;
(Ⅱ)求矩阵A的逆矩阵.
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6 . 选修4-2:矩阵与变换
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)若
,求
已知矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14f6db90610193940dacb167de131bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057db09504e1a3e62cd7fc678a7c31ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5631beb2a5954e3abf3b206d9e5ea0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fe2e0348c82f65cf92d2c4c843a2ec.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2ddebc8b53002f170f92d957b170fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f1174cf42ebc34240d624622758941.png)
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7 . 在平面直角坐标系中,矩阵
对应的变换将平面上的任意一点
变换为点
.
(Ⅰ)求矩阵
的逆矩阵
;
(Ⅱ)求圆
在矩阵
对应的变换作用后得到的曲线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc76f77480174835ec2689e01d48e73a.png)
(Ⅰ)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5281a7e4f6d37e698366c83fa38d7b6a.png)
(Ⅱ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
8 . 选修4—2:矩阵与变换
在平面直角坐标系中,矩阵
对应的变换将平面上任意一点
变换为点
.
(1)求矩阵
的逆矩阵
;
(2)求曲线
在矩阵
的变换作用后得到的曲线
的方程.
在平面直角坐标系中,矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e30a0b29fadc042d6c296967b7f7ae.png)
(1)求矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e23ef93bcbae4ca3d563444ee63e70.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32b7817b550825a6c8dc33c00524f04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42713147196a377764d8c759c143208.png)
您最近一年使用:0次
9 . 已知线性变换
是按逆时针方向旋转
的旋转变换,其对应的矩阵为
,线性变换
:
对应的矩阵为
.
(Ⅰ)写出矩阵
、
;
(Ⅱ)若直线
在矩阵
对应的变换作用下得到方程为
的直线,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4602de20d64de30ebf2bfa488f2997a7.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/0a44bf884261b2e66ef6c3fb388de551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(Ⅰ)写出矩阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(Ⅱ)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d567bdeba9b8e17d0911f594e141eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次