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单选题 已知非零二阶矩阵A、B、C,下列结论正确的是 ( )
学科：应用数学（1）（2023秋）
时间：2023-12-28 12:36:56
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题目1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2单选题
将△ABC先向右平移5个单位,再向下平移三个单位后得到△A'B'C',已知A'(-2,3),B'(-4,-1),则A,B两点的坐标分别为( )A. (3,6)(1,2)B. (-7,6)(-9,2)C. (m-2,m-4)(n-4,n-5)D. 以上都不对
题目3单选题
将坐标处理成列向量的形式,则关于直线<img src="https://tihai-oss-cloud.itihey.com/img/6a6137f6339a133cb577a7e2e1d3bfab.webp">对称变换矩阵为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/b9ceb965d05c8bab8d056a3b4d091ac4.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/2c72ed13fda61ac53300ac875cba45c1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/87119ba3f920d8941badfe5b5911281e.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/55df73e233968ae5bbb818f319c14356.png">
题目4单选题
当( )时,齐次线性方程组<img src="https://tihai-oss-cloud.itihey.com/img/ad80ccaee701c69b34874d2749a325e6.webp">一定有非零解A. <img src="https://tihai-oss-cloud.itihey.com/img/8e536a23669515d788fdf1b2bba4f46b.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/074892d016a20425b0d9b1cbaad92ba9.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/0c5f91b20bc3dabd711ad766befae0fc.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/9b7205243d23f47952ff38c47bcfc7a6.webp">
题目5单选题
在矩阵<img src="https://tihai-oss-cloud.itihey.com/img/a69f999fa60c71a6fc9bad7fa4dea96a.png">对应的线性变换作用下,椭圆<img src="https://tihai-oss-cloud.itihey.com/img/9d39adf9084c9ca0969e3d71c329f09f.png">对应的曲线为( )A. <img src="https://tihai-oss-cloud.itihey.com/img/0d28a5b6622ff266858aedbfd707163e.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a68a6bb469e233b3811901b80f450118.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/3be59d4463441a9bb27a8ae660b54da9.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/1ee5508f7889e1789c38db45b28ee50d.png">
题目6单选题
如果<img src="https://tihai-oss-cloud.itihey.com/img/d1feecf185cb8270371d68791ad4f24d.png">,则方程组<img src="https://tihai-oss-cloud.itihey.com/img/a028a833eae9f642a2115de67715e316.png">的解是A. <img src="https://tihai-oss-cloud.itihey.com/img/91eaa54f13f39f207440523d947d353e.png"><img src="https://tihai-oss-cloud.itihey.com/img/2d5972727d8b378bd09d4a94b38b6847.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/153d6a6e64b2962e2d9fa43b967847b6.png"><img src="https://tihai-oss-cloud.itihey.com/img/2d5972727d8b378bd09d4a94b38b6847.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0600d9535fa346f7894334a54f5796bb.png"><img src="https://tihai-oss-cloud.itihey.com/img/33cb8554b1db94d406bf003d63044a1c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/0600d9535fa346f7894334a54f5796bb.png"><img src="https://tihai-oss-cloud.itihey.com/img/9302fada09983cb30014bcf6181bdccd.png">
题目7单选题
如果<img src="https://tihai-oss-cloud.itihey.com/img/12e44b8abeb667efd445df644c7668df.png">,则<img src="https://tihai-oss-cloud.itihey.com/img/a8d05e00116c1ea8577d342b839eca27.png">A. 2MB. -2MC. 8MD. -8M
题目8单选题
关于行列式的运算规律不正确的是( )A. det(<img src="https://tihai-oss-cloud.itihey.com/img/54c299fd56fd0658375e7e30e6abea36.webp">)=det(A)B. det(AB)=det(A)det(B)C. det(A+B)=det(A)+det(B)D. det(kA)=<img src="https://tihai-oss-cloud.itihey.com/img/822cd86f4938ce3e68c360fb0bcc456c.webp">det(A)
题目9单选题
用矩阵与向量的乘法的形式表示方程组<img src="https://tihai-oss-cloud.itihey.com/img/0c5d1b3dedf407ac4b34c01ee182141d.png">,其中正确的是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/f3fe82201da47b1f2f629b778f65961f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/50a1a4d5af415eb4c83cc0e1b44d3a0f.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bc7824e96fdf2df659636e083945d955.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/b59c91b97f6d1c86efc262baae6f0462.png">
题目10单选题
已知非零二阶矩阵A、B、C,下列结论正确的是 ( )A. AB=BAB. (AB)C=A(BC)C. 若AC=BC则A=BD. 若CA=CB则A=B
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