[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$farvcFZJ0fxzdtjQB0llfa3t-EdvqsMPSTBjAaPzOoNE":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2025-10-16 10:24:42",221758985,[8,9,10,11],"参数变换","不同标架","等距变换","刚体运动",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},88,"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","work_45852724","第四章测验","0401 曲面的第二基本形式在( )下不变",[21,32,35,44,53,62,71,80,89,98],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],221758984,[25,26,27,28],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3a929667c6b83bcbd2cd80de84686b31.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff0efcc0f7ceabb981ec86f35c6291425.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffd1f72a788da8e4b247883682c134359.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5690088df5ef31516481376c3180957f.webp\">","0401 曲面\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe5bbf8f2eaca7426a240c7c1b56ac244.webp\">,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa5917c5a44568b51af6ea4539e89ff7c.webp\">是其单位法向量.下列第二类基本量的计算中 是不正确的","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":43,"source":30,"type":31},[],221758986,[39,40,41,42],"S必为球面","f(u,v)必为常数","S可能为平面","S的第二基本量是第一基本量的非零常数倍","0401 若曲面S的两个基本形式I与II满足:II=f(u,v)I,其中f(u,v)处处非零,则下列说法错误的是",{"answer":45,"createTime":5,"id":46,"options":47,"question":52,"source":30,"type":31},[],221758987,[48,49,50,51],"S的第一基本形式与uov平面的第一基本形式相同","S的第一基本形式为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa08885478e00831e7a4ca63c4f8d541d.webp\">","S的第二基本形式为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0abd6c91678a17d62e11b67314e8816f.webp\">","S的第二基本形式为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcc525f568d29aebf03c6f5fba82f0247.webp\">","0401 关于圆柱面S:\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3d9783bc55c2448586c37b2c58bc33d1.webp\">的说法错误的是",{"answer":54,"createTime":5,"id":55,"options":56,"question":61,"source":30,"type":31},[],221758988,[57,58,59,60],"在刚体运动下,曲面的第一、第二基本形式均不变","在保向的参数变换下,曲面的第一、第二基本形式不变","曲面的第一、第二基本形式与正交标架的选取无关","曲面的第一、第二基本形式在反向的参数变换下相差一个符号","0401 下列叙述错误的是",{"answer":63,"createTime":5,"id":64,"options":65,"question":70,"source":30,"type":31},[],221758989,[66,67,68,69],"法曲率是法截线的曲率","法曲率大于等于零","法曲率是曲率向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F12edf03c4844394ca7c888dda299818b.webp\">在主法向量上的投影","法曲率的绝对值是法截线的曲率","0402 以下说法正确的是",{"answer":72,"createTime":5,"id":73,"options":74,"question":79,"source":30,"type":31},[],221758990,[75,76,77,78],"从切面","密切面","法平面","副法线面","0402 曲面上的一条曲线是渐近线,当且仅当它是一条直线,或它的( )恰好是曲面的切平面",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],221758991,[84,85,86,87],"F=0","E=G=0","M=0","L=N=0","0402 曲面上参数曲线网是渐近线网的充要条件为( )",{"answer":90,"createTime":5,"id":91,"options":92,"question":97,"source":30,"type":31},[],221758992,[93,94,95,96],"曲面上局部必存在正交曲线网","曲面上局部必存在等温曲线网","曲面上局部必存在渐近线网","曲面上正交曲线网存在未必唯一","0402 下列关于曲线网的叙述错误的是( )",{"answer":99,"createTime":5,"id":100,"options":101,"question":106,"source":30,"type":31},[],221758993,[102,103,104,105],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7d4a8b33f119277da5aaf482f0c99dea.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1c5f7c696ca4df1a2bc1c3075ef2703e.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1376946467f98abaf45f5a66e87e1cc4.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fabb3894cd60613cbfa65e3679d4c9ccc.webp\">","0402 下列( )是渐进方向存在的充分条件"]