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单选题 若齐次方程组AX=0有无穷多解,则非齐次方程组AX=b( )
学科：线性代数
时间：2026-05-30 14:44:29
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题目1填空题
冰水混合物的相数是( ),自由度数是( ).(选填1或2)题目2填空题
将过量的NH4HCO3(s)放入真空密闭容器内,NH4HCO3(s)发生如下分解反应: NH4HCO3(s)== NH3(g)+ CO2(g)+ H2O(g),达平衡后,系统的组分数C=( ),相数P=( ),自由度数F=( ). (选填1或2)题目3填空题
<img src="https://tihai-oss-cloud.itihey.com/img/3e6ec7158500293b3fd64451b29742e3.jpg"> 这是一张水的相图. 1区的相态是 相;2区的相态是 相;3区的相态是 相.(选填"气、液、固") 以上三个区域自由度数均为 ; OA线,OB线、OC线自由度数均为题目4单选题
相数P=2的选项是( )A. 氢氧混合气B. 乙醇的水溶液C. 水和苯的混合液
题目5单选题
<img src="https://tihai-oss-cloud.itihey.com/img/df5d68c76295f7b91d71770ea494f401.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/d0a96f481a565fcfb08d4d33fcff459a.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/5dadbf24865ae38d5605fea0af9dffae.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/537c035e70520898318f369bdf764642.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/05bd40b2aeac4f50aa40a829c2bfd89e.png">
题目6单选题
<img src="https://tihai-oss-cloud.itihey.com/img/390f94abfc678ffa682ccd414ca96d0d.png">A. 2B. 5C. 7D. 8
题目7单选题
<img src="https://tihai-oss-cloud.itihey.com/img/ce39748457e21689156f7a45669fb829.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/1cbe278b413be09b7a0d4c693a05175d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/fda71de260da6c8bc391ddc3cd916ca7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/bf1000002524e35b2c1fc75a9bb64d10.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/941c34297631919f9921bd36253fe243.png">
题目8单选题
若齐次方程组AX=0有无穷多解,则非齐次方程组AX=b( )A. 必有无穷多解B. 可能有唯一解C. 必无解D. 有解时必有无穷多组解
题目9单选题
<img src="https://tihai-oss-cloud.itihey.com/img/f1b23d7d6d6147f72ae641697a98461c.png">A. <img src="https://tihai-oss-cloud.itihey.com/img/4840f56c3f9a372c1a39612979239537.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/3fadc8c0df8b1700c30c8ffe0621ff73.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a9d99028a9d1dafb3ccf6c7e0168485b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/06a7ac28bed024030a0598583f139010.png">
题目10单选题
已知<img src="https://tihai-oss-cloud.itihey.com/img/1e50881e626673093dfc82207bf92926.png">、<img src="https://tihai-oss-cloud.itihey.com/img/5f90db91c7fa4319e0cceda49d2da3ac.png">是非齐次线性方程组Ax=b的两个不同的解,<img src="https://tihai-oss-cloud.itihey.com/img/1d9ced65666103bbf658ebdd5a782e77.png">、<img src="https://tihai-oss-cloud.itihey.com/img/f0ddf8744ede646133f0cc4efdd6a5ce.png">是对应的齐次方程组Ax=0的一个基础解系,k1、k2为任意常数,则方程组Ax=b的通解可表示成( )A. <img src="https://tihai-oss-cloud.itihey.com/img/3910a65f871281cf029d0d942a8a5473.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d73588d2218cf48d037cf0f3fdac344b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/93b2790a7069f61b8eee4d1943777f6b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/09e8f2d53a4089751240b807536fc7a7.png">
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