名校
1 . 若线性方程组的增广矩阵为
,解为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94dcf94f8a226a25145162429aaedb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203dfe536ac65ff8405862204fca6ea7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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21-22高三上·上海浦东新·阶段练习
名校
2 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efea758c3aed06ae531e86df30c8688c.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efea758c3aed06ae531e86df30c8688c.png)
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3 .
是由
个数
(复数或实数)排列成
行
列的长方阵,简称
矩阵,记作:
,这
个数称为矩阵
的元素,简称为元,数
位于矩阵
的第
行第
列,称为矩阵
的
元.两个矩阵的乘法仅当第一个矩阵
的列数和第二个矩阵
的行数相等时才能定义(做乘法),如
是
矩阵,
是
矩阵,记为
,它们的乘积
是一个
矩阵,它的任意一个元素值为:
,则下列选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82637369399113d733fc2544a426d1bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abc7b7ef8b7a91099ca63ea1aaf7cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abc7b7ef8b7a91099ca63ea1aaf7cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea46844190e0ce70ab5bda50435b9b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abc7b7ef8b7a91099ca63ea1aaf7cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4d5ca4e251ff0e503a26f9a7375326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abc7b7ef8b7a91099ca63ea1aaf7cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05a6bb5448b161ff29f0eb729861899c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd8a27a4e5e0798b99aa68d8b1b6011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b244d92a5507d0dead10aefd50dbcbd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82c50f3c914a9e0e3124886a8a525b7a.png)
A.![]() | B.![]() |
C.矩阵的乘法满足交换律![]() | D.矩阵的乘法满足结合律![]() |
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名校
4 . 关于x、y的二元一次方程组的增广矩阵为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee284488e3112e1b450a8be8af85319.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a760621a0f375c497de88bfb82e9f5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee284488e3112e1b450a8be8af85319.png)
您最近一年使用:0次
2021-06-03更新
|
193次组卷
|
3卷引用:上海市格致中学2021届高三三模数学试题
5 . 关于x、y的方程组
有无穷多组解,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65bd6cdc598a67059dc4293a1694dc0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 若关于
的二元一次方程组的增广矩阵为
,则
=_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a01a217fbfd23e802343c7cba649c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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7 . 在行列式
中,元素
的代数余子式的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9658ae78755262d14618c54b3417413e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
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8 . 已知关于
的二元一次方程组的增广矩阵为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1851d9508e721c98751997ccd36d65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
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9 . 如图所示,在平面直角坐标系
中,点
绕坐标原点
逆时针旋转角
至点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0f3cb248-ea1c-49b1-864d-55830d1210d1.png?resizew=212)
(1)试证明点的旋转坐标公式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b519e490e2a73e8b6455f2c6647a713.png)
(2)设
,点
绕坐标原点
逆时针旋转角
至点
,点
再绕坐标原点
旋转角
至点
,且直线
的斜率
,求角
的值;
(3)试证明方程
的曲线
是双曲线,并求其焦点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039b02af8364c4714df617a9278eb0fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/0f3cb248-ea1c-49b1-864d-55830d1210d1.png?resizew=212)
(1)试证明点的旋转坐标公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b519e490e2a73e8b6455f2c6647a713.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dd8b1de493e4027839ccdeeac69e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfac6a734705249042747a8367c5b94c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02f266bd253738e315e84231235f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(3)试证明方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3329a078a2704772b46cf74278b7397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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10 . 在行列式
中,5的代数余子式的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9f93c13c618feca6111477f357e2cd.png)
A.![]() | B.9 | C.![]() | D.45 |
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