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单选题 已知向量a=(1,m),b=(3,-2),且(a+b)⊥b,则m=( )

A. -8

B. -6

C. 6

D. 8

学科：应用数学（1）（2024秋）

时间：2024-11-16 09:30:37

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题目1
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已知<img src="https://tihai-oss-cloud.itihey.com/img/ef94341f55429987a390adb02270ca31.webp">,则<img src="https://tihai-oss-cloud.itihey.com/img/6bdbe82f006474fbe9cb5fbc5cb111f8.webp">在<img src="https://tihai-oss-cloud.itihey.com/img/e02c9b4c74d4d59191c0dd71f98299d8.webp">上投影向量模为( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/76ca86e46655fde1e0496b2d1eb6a39a.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/cd59f413bf46f732eef48ec6725109b4.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/250691790aaf430e65c4e9849fa73896.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/e2c492b891085a9353cdb078846a9a64.webp">
题目2
单选题
给出下列命题:①零向量的长度为零,方向是任意的;②如a,b都是单位向量,则a=b;③向量AB与BA相等.则所有正确命题是( )
A. ①B. ③C. ①③D. ①②
题目3
单选题
已知向量a=(5,2),b=(-4,-3),c=(x,y),若3a-2b+c=0,则c=( )
A. B. C. D.
题目4
单选题
已知向量a=(1,m),b=(3,-2),且(a+b)&perp;b,则m=( )
A. -8B. -6C. 6D. 8
题目5
单选题
矩阵作为数学中的一个重要名词,是谁最先提出来的( )
A. 凯莱B. 西尔维斯特C. 克莱姆D. 高斯
题目6
单选题
设n阶矩阵满足ABC=E,则有( )
A. ACB=EB. CBA=EC. BAC=ED. BCA=E
题目7
单选题
设矩阵<img src="https://tihai-oss-cloud.itihey.com/img/91993ceffcccded3f0c14406436e0d14.webp">,<img src="https://tihai-oss-cloud.itihey.com/img/3c497a902b8c1da990f110d739a0e5d5.webp">,则<img src="https://tihai-oss-cloud.itihey.com/img/554fb85c721d9f97d3be6e1724d4eedb.webp">( )
A. 0B. C. <img src="https://tihai-oss-cloud.itihey.com/img/912b98bad20f36cf02477c8ade3e810d.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/789523cfd6994a38efe91d4cb4ef7e22.webp">
题目8
单选题
向量<img src="https://tihai-oss-cloud.itihey.com/img/492840a8f1c7274781256697ed31be3f.png">(左)乘向量<img src="https://tihai-oss-cloud.itihey.com/img/5792142848039819d9c7654aa2ebd10b.png">的法则是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/6344d8a8ebfd9fdf26394e252c83eb12.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/bdb4bbda2af4a735e107287e749fab79.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0bfcae7149bf62293093b3f1e29e6c09.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0c39a3c0c3fb593c6729c9139a2bd580.webp">
题目9
单选题
设A是<img src="https://tihai-oss-cloud.itihey.com/img/42b19399297a920e4903458843b8ef5e.webp">矩阵,B是<img src="https://tihai-oss-cloud.itihey.com/img/f3afec00ae70f07d6a15e98ee4404775.webp">矩阵,则<img src="https://tihai-oss-cloud.itihey.com/img/edd2b70ea707698bda8006d0c87a0eda.webp">是( )矩阵
A. <img src="https://tihai-oss-cloud.itihey.com/img/5bc1a67ad9820d3ad9be91f7e379c645.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/a6298f20e45e38522b77c96342fe0420.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/6676c79fe331b643b54a21b26668ca85.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/46187e182c84209058ef6f8c7fe4091a.webp">
题目10
单选题
设A,B是n阶方阵,下列各式正确的是( )
A. <img src="https://tihai-oss-cloud.itihey.com/img/588003912eba35b2ee4365d2a8ba6dc0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f9feff34f80bbb6464d08be84b332428.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a22b92d158ed004cc9e9f02df87ee1d5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/112d5f0148bbf64cd57c89eac496652a.webp">
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