[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$f2P6z0f5WxULFOkvaiunGM2icG17pE2lZalL-KllZ8jg":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2025-09-02 20:37:20",215398721,[8,9,10,11],"1 奇 负","2 偶 正","3 奇 负","0 偶 正",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},19,"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","250c3d7230974e11b36109d7380ef8b2","课后测-1.2.1全排列与逆序数","三级排列213的逆序数为 ( ),它是( ) 排列,从而三阶行列式中项\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9a3016342bd53efe0cee8ec86171ceae.png\">冠( )号",[21,32,35,43,52,61,66,75,80,89],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],215398720,[25,26,27,28],"4 2","2 4","1 4","3 4","当\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F16d836799a79482a137a735748bf357e.png\">( )\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0c9824409f3d3b6655c565e23576eb34.png\">( )时,四阶行列式中项\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7af383fad747530e518de3f5da806d9e.png\">冠负号","v1",0,{"answer":33,"createTime":5,"id":6,"options":34,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":36,"createTime":5,"id":37,"options":38,"question":42,"source":30,"type":31},[],215398722,[10,39,40,41],"4 偶 正","5 奇 负","6 偶 正","四级排列4321的逆序数为 ( ),它是( ) 排列,从而四阶行列式中项\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9e91af1add673c09682970083fc5b1bd.png\">冠( )号",{"answer":44,"createTime":5,"id":45,"options":46,"question":51,"source":30,"type":31},[],215398723,[47,48,49,50],"1 奇","2 偶","3 奇","4 偶","四级排列4132的逆序数为 ( ),它是( ) 排列",{"answer":53,"createTime":5,"id":54,"options":55,"question":60,"source":30,"type":31},[],215398724,[56,57,58,59],"7 奇","10 偶","9 奇","8 偶","五级排列54321的逆序数为 ( ),它是( ) 排列",{"answer":62,"createTime":5,"id":63,"options":64,"question":65,"source":30,"type":31},[],215398725,[56,57,58,59],"七级排列3712456的逆序数为 ( ),它是( ) 排列",{"answer":67,"createTime":5,"id":68,"options":69,"question":74,"source":30,"type":31},[],215398726,[70,71,72,73],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F241afd9013413a876a38dab4b1880511.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F642903beee01f33eb3756ecd8bceff87.png\">或\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdcdc5b5e9906b481d6a876c211dc9e31.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F241afd9013413a876a38dab4b1880511.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdee0dd46a32a0df9d13efa1ab7cca7a4.png\">或\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb624cfb81151685f2630a28c791dfd60.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F162dda2f5284762577886dfffb0e23d9.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa348b6f58e13e5c7c18c6482381df640.png\">或\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6e92483fe4231c72e29d5bac8869344d.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F162dda2f5284762577886dfffb0e23d9.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F642903beee01f33eb3756ecd8bceff87.png\">或\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb624cfb81151685f2630a28c791dfd60.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1dac517aff62a020fcb3bbd85e78ab3f.png\">级排列\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff3d27b40325df5be74673968a46130af.png\">的逆序数为 ( ),当\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb90b31b1ea38b10fde41bb682e48a2f9.png\">( )时,它是偶排列",{"answer":76,"createTime":5,"id":77,"options":78,"question":79,"source":30,"type":31},[],215398727,[70,71,72,73],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F39b658e2e12f5e413a446df327555662.png\">级排列\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4c1cef49a53a22712b88b2b1745df49a.png\">的逆序数为 ( ),当\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb90b31b1ea38b10fde41bb682e48a2f9.png\">( )时,它是奇排列",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],215398728,[84,85,86,87],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F883710f46ed22cd758005593a8ac9e36.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc22d2245a2daeba9bb464a1990236c3c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fee01deea9f314a5bf344dad099634838.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4ceabcbea03feb572af35bc5f9c7a135.png\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc88b93c23d33b0dc2031272f95b75bb3.png\">表示排列的逆序数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8d256528e11393bb4fd7950e407371e4.png\">( )",{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":30,"type":31},[],215398729,[93,94,95,96],"对角行列式中非对角线上的元素全为零","对角行列式中主对角线上的元素全为零","对角行列式中次对角线上的元素全为零","对角行列式中所有元素均为零","以下关于对角行列式的描述,哪一项是正确的"]