1 . 在平面直角坐标系xOy中,直线
在矩阵
对应的变换下得到的直线过点
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53f38d76f7a5e9c779da67aadc9cbfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29325381333d99be8ccf30d77f8fbfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2 . 若矩阵
是线性方程组
的系数矩阵,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f48f1fa606d4be1ca3f48e562030e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f85d78aedf5469294ff9dce1534297.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-05-13更新
|
193次组卷
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4卷引用:2020届上海市崇明区高三二模数学试题
2020届上海市崇明区高三二模数学试题上海市五爱高级中学2021届高三上学期期中数学试题(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)上海市南汇中学2022届高三下学期3月月考数学试题
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3 . 已知矩阵
,若点
在矩阵
对应的变换下得到点
,求
点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab92791be40b62ec74e92f7ef65be5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c62b5f7e452f51cbf7ebb921c6786f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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4 . 已知直线l:
在矩阵
对应的变换作用下得到直线
,若直线
过点
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8e198436b70d9ac17be00c5cb59919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde931e7f420423ff3fac0cef93390d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
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5 . 已知矩阵若
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebf5e7a5a51a62ec90b5b49c03adb30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed178f840fd036edd2e58ae8bb38a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69c8493f7f004d5ca3ce093eb6d3936.png)
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6 . 已知矩阵
,向量
.求向量
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c158ff44155e18b022b851c6aea6b598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ec9538b8a3bbc7c2ee35828e1e4854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fd976a35474c8329558ecb6a00f691.png)
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2020-03-26更新
|
77次组卷
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2卷引用:2020届江苏省南通市如皋中学高三下学期3月线上模拟考试数学试题
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解题方法
7 . 已知向量
,
是坐标原点,若
,且
方向是沿
的方向绕着
点按逆时针方向旋转
角得到的,则称
经过一次
变换得到
,现有向量
经过一次
变换后得到
,
经过一次
变换后得到
,…,如此下去,
经过一次
变换后得到
,设
,
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac66b00e6cb8d30f293f3baeb501333e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb9307fa2c34a86800d60a194747a788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52831e39d2f23629c6699103ff5d1d67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f66c2415abe65e3fab5574c08d8d1e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc22dd6172821ef009d031d466bdd3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7559d65befe0b85c8929f57c9436cd26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7559d65befe0b85c8929f57c9436cd26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cd05a7d73db8c7a63ba8e3854ef259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81c88f84b0533f32d4008a5088b21cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d7c41caf47f014d2158abe25a876ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acb8f1484640eef1f6439be92f1a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d8b2f1f9ead1e148c04fb2538421e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4c7fc2ab3dc022658351fd10a5e07b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4799f1244959c9118346ced85adc4197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/449259bdbfccf519730ad5a0522d80f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3677f2a2a1b4aef3a370a03db832366.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2012·福建宁德·二模
8 . 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)
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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)
9 . 在平面直角坐标系
中,设点
在矩阵
对应的变换作用下得到点
,将点
绕点
逆时针旋转
得到点
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca01a206f997ac2b4a6a33a365d53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb56adf3fc42fa57bcefd368f7b81aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4167feb456b79187e3582a90bdc0ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1d0dc43bb6b1b608ea3227c764e2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4167feb456b79187e3582a90bdc0ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd945a6257e23aacb7267292a9f0190c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6f7f4efae3429323ab74fd764add4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6f7f4efae3429323ab74fd764add4f.png)
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2016-12-04更新
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363次组卷
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2卷引用:2016届江苏省苏中三市高三第二次调研测试数学试卷
10 . 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)
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