[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fmQ5m8LvvKB8OCiYPiVDLfhx0m5SghPLcaRwIvgMcw5c":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":16,"related":17,"source":27,"type":28},[],"2026-05-11 12:48:59",366788108,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F48e74d6e294a1778c461c0473009314b.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F19aa553c22a42271119761f47db65161.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7070ec9cb4fcda70ffedeb46bf2da5b1.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcc66c36feb49ac17d231c0b5ae02d86c.png\">",{"courseId":13,"courseImg":14,"courseName":15},"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","若\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F013aba1e37975d8b44e2da0bc731113f.png\">是方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F89be105c2879db8d7c571242b3744528.png\">的解,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff1e401a3770e9c5cd6a95bdf3f5b3109.png\">是方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F66b2955bfaaa90d72363293fa139e07f.png\">的解,则( )是方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69b897970aea45d84433041c106f9139.png\">的解(\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa7c6db7d8b323e5d50cb63b667701480.png\">)",[18,29,32,41,50,59,68,77,83,88],{"answer":19,"createTime":5,"id":20,"options":21,"question":26,"source":27,"type":28},[],366788104,[22,23,24,25],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1a7ae5bce8cc667e5580427ce428d6bb.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4119167fce04be37e04a079782272105.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2627536518d1fe8c151077d8b53e666d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb9425796b49a3885d7c3aefc3b9c0a00.png\">","已知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F56a00dae372f82eda2636f19d49a5a40.png\">是非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdce5eb1515b87c671324d9b0a3b8446c.png\">的两个不同的解,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe84435c40746f815d59396e608b63230.png\">是导出组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4f8594e0aee0a400d8ba58679bda99c2.png\">的基本解系,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0060d20e9364e113431ab4261fcc2e08.png\">为任意常数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdce5eb1515b87c671324d9b0a3b8446c.png\">的通解是( )","v1",0,{"answer":30,"createTime":5,"id":6,"options":31,"question":16,"source":27,"type":28},[],[8,9,10,11],{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":27,"type":28},[],366788111,[36,37,38,39],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1fcb6a104ca2a77828b282ef204174e4.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff0d98d0362cb0dd8e7fa52a6bebbdee3.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3ea1d3c91fbc2b6eacc15327d99268ad.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F71c4d7ca0518c1194bae607ff8c17dbe.png\">","设含\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0afaedf27cfaa44257eb0582d7a5f9a4.png\">个方程\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffcec676537dd39a35555be123ac2d18a.png\">个未知变量的非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F82c82c9dce32d61dadadd6b5ba66349f.png\">关于任意一个\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0afaedf27cfaa44257eb0582d7a5f9a4.png\">维常数向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Feb29bc9f078d582768533ab230ffeb06.png\">都有解,则( )",{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":27,"type":28},[],366788114,[45,46,47,48],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe486aeb4956d24e9965dc2ebb0da2a3a.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F2baae9d88c64c15f4c3d338bb3ccbc5c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3b2f245c4147a6b88de7a85559ce2d43.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe73a7765b3f23ad64e1ece0572fadd1.png\">","设向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F82f4935a7898748c3466ac45b83dcf2a.png\">可以由向量组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd728acbffbb2f3f729fa1f7c141ddafc.png\">线性表示,则数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0d604b5b9bc44cd334406594cc11ff91.png\">应满足的条件是( )",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":27,"type":28},[],366788117,[54,55,56,57],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3e0cd56b4ac74e48e568f022a7524490.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9439d5c3e901924ed45d9b61397feb72.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F357701279b80a3da6c2d97ece920a544.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F867ea0af011d8a31d055c44c2b1049fc.png\">","设3元非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6bf467ccc9e019492d02641d77290a4a.png\">的两个解为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6ff13e08ebc2fa84c85d925383574fb9.png\">,且系数矩阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F761bb4d7df77c707b6024812b4bf261a.png\">的秩\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Faaf235396b8b0d040031a529f5ce707f.png\">,则对于任意常数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F30b627fc728555f53a5f2ad14aa6ca68.png\"> 方程组的通解可表为( )",{"answer":60,"createTime":5,"id":61,"options":62,"question":67,"source":27,"type":28},[],366788120,[63,64,65,66],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F409f9c080ed7245cfab2fbcb8b05505d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fae236a4c3dad7b6513a62a4de5c49856.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F179472e47e3bc48162708d7319589750.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7c0bece52b20ff77d692697709cdfc03.png\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe075e7ac2625869a713612797d691ce5.png\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0397d32cfb356658455fcc1284424a41.png\">的三个解向量,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa4d7f3857d74429dea962388a87ba8fe.png\">,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcb2fc2d705b72ee703abe68496152097.png\">, \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F23a81b84e22f391f2456df00a3eb2d3d.png\">,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Feb814780af2f12ac64c36a7d27db6cb4.png\">为任意常数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0397d32cfb356658455fcc1284424a41.png\">的通解为 ( )",{"answer":69,"createTime":5,"id":70,"options":71,"question":76,"source":27,"type":28},[],366788123,[72,73,74,75],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Faacd31be1425691e53ba871575956016.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8c12c88fe957d4397d1258a61889dc25.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F391d3e27626a57af72e7fce2a319706b.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff2686ba500406d78f1097b30340fc39b.png\">","当( )时,齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe93bc3a0ce1ed07021c0605e4f86d4c5.png\">一定有非零解",{"answer":78,"createTime":5,"id":79,"options":80,"question":81,"source":27,"type":82},[],366788126,[],"已知某个3元非齐次线性方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6bf467ccc9e019492d02641d77290a4a.png\">的增广矩阵\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F10b84a93f7e64e19d585ff083b51d9d9.png\">经初等行变换化为:\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F836b649c740f024a13ac019560e6472b.png\">,若方程组无解,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6a4c7662318aee351b7b65c4c929daa8.png\">____",2,{"answer":84,"createTime":5,"id":85,"options":86,"question":87,"source":27,"type":82},[],366788129,[],"设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe6692f5662e76386db8fb1c66aba7863.png\">与\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc4ebdc4db09c96d45962ac90c94243cc.png\">均是方程组\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6bf467ccc9e019492d02641d77290a4a.png\">的解,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe23b01b24a1f35b300d4d14ba19e5b2c.png\">____",{"answer":89,"createTime":5,"id":90,"options":91,"question":94,"source":27,"type":95},[],366788132,[92,93],"正确","错误","若\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fef15ecce7cd2ca0b2aa3049bb11c1c24.png\">都是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0397d32cfb356658455fcc1284424a41.png\">的解,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8f3f612df6fdc4f9c8dac36f0d26c921.png\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbdd9ee952fc867a7a0e082ac03ae624f.png\">的一个解",3]