[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fRzV3rke05LuEQCYx9WVYht-k0T_2eh8OhLeQbxfFsOA":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":31,"type":32},[],"2025-07-06 22:15:56",209711164,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7b0b0942a9ce79b981e6f4f9fe4c16a6.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F860cac6ed4a786a71a1c25d3734f9309.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd4f5a36164fa88af4e20c4aa127b3705.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe14dd46e860580ec93cf86709384e68d.webp\">",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},15,"c624f7f579f4a8b576212dee537c4a1c","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd169d2981f4af9d64aa91f059d6b8a14.jpg","高等数学","work_41818475","第19讲 多元函数微分学复习","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffa648d490f82f812e17f8fef4e958f71.webp\">,其中f(u)为可导函数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3ed334435c6c88f91cc30463d50d2968.webp\">( ) 【下册第19讲】",[21,33,43,52,61,70,77,80,89,98],{"answer":22,"createTime":23,"id":24,"options":25,"question":30,"source":31,"type":32},[],"2025-07-06 22:15:55",209711109,[26,27,28,29],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F39a3de6638167a0458766b621c26c29f.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F16008f864bc2e473ba232fc44d783844.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F75ba749987fbf92c13856a80eb81ce87.webp\">","2","设n 是 曲 面\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4f94ea7168e3ee018bce3bbc0d48f9c8.webp\"> 在 点 P(1,1,1)处 的 指 向 外 侧 的 法 向 量,求 函 数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc54bb4c674f7518302f7d4253cf0080c.webp\"> 在点P 处沿方向n 的方向导数为( )","v1",0,{"answer":34,"createTime":35,"id":36,"options":37,"question":42,"source":31,"type":32},[],"2025-07-06 22:15:54",209711117,[38,39,40,41],"无关条件","充分条件","必要条件","充分必要条件","在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffda3b33b20f466b7564f77198285fb38.webp\">的某邻域内,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fde9dd765d01194d69f72ec62bd0881a2.webp\">存在是函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc229d1f126ae313cb1edb9aca8709b86.webp\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffda3b33b20f466b7564f77198285fb38.webp\">连续的( ) 【下册第19讲】",{"answer":44,"createTime":45,"id":46,"options":47,"question":51,"source":31,"type":32},[],"2025-06-29 23:29:52",209711125,[48,29,49,50],"4","3","5","设函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa2e31a9a4bcd926f82bb5f82ac3ed35a.webp\">,则f(x,y)的驻点个数为( )",{"answer":53,"createTime":23,"id":54,"options":55,"question":60,"source":31,"type":32},[],209711134,[56,57,58,59],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc271488e1ce4f2eec1aa02524bad5a1d.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1eb9c20295dc003805a2dad08ee6332e.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F741a5a8dd89d4f9ffa5f34af34b05701.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F93f20e0cac4e7feb9ef8c8e26542d0b4.webp\">","在xoy平面上求一点,使它到平面直线x=0, y=0及x+2y-16=0的距离之平方和最小,则该点坐标为( )",{"answer":62,"createTime":23,"id":63,"options":64,"question":69,"source":31,"type":32},[],209711143,[65,66,67,68],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc8c767277f94176e0d597b1694b7aff0.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4acf2279c091b522d836cbaf14b3fccc.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff7728366e168927f5644c2eb861256b0.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1985eaeb8087824b39eb9af95ceb88c1.webp\">","函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F93c2b73038ed4738bb00b10e5c9dad11.webp\"> 在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1e2fe351aaf92d37eef9449097c94415.webp\">处沿从点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1e2fe351aaf92d37eef9449097c94415.webp\">到点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F93e223f9cfabe0af4e31ee6913beee22.webp\">的方向\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F73e0e6f52d35c46f0fc90f56aae83e58.webp\">的方向导数为( )",{"answer":71,"createTime":35,"id":72,"options":73,"question":76,"source":31,"type":32},[],209711156,[74,75,29,48],"6","12","函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F14ebf1f27edd7cb3f8a9f88cb8e30a86.webp\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F041a1c587f129c1816729e01e20710c5.webp\">处沿向量\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fedde784fb6f0888981478df8dcd3341e.webp\">的方向导数为( )",{"answer":78,"createTime":5,"id":6,"options":79,"question":19,"source":31,"type":32},[],[8,9,10,11],{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":31,"type":32},[],209711169,[84,85,86,87],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47a51b36efc28bd49ac64bafab178469.webp\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa2ee522bba2ba601cf06f631f632cc86.webp\">的最大值点","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47a51b36efc28bd49ac64bafab178469.webp\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa2ee522bba2ba601cf06f631f632cc86.webp\">的极大值点","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47a51b36efc28bd49ac64bafab178469.webp\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa2ee522bba2ba601cf06f631f632cc86.webp\">的极值点","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc6ee007bc41462babbac3ec86ffb4574.webp\">是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe8b82b9a8ca9e2648407dbfbd30c368c.webp\">的驻点","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0ab90ee40938b28fb0524e715685fb57.webp\">,则下列结正确论的是( )",{"answer":90,"createTime":35,"id":91,"options":92,"question":97,"source":31,"type":32},[],209711173,[93,94,95,96],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1742f8d6856cb567c7992d169b782cc6.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3ee1a8bbe4e4a13cfe4ad87046859dba.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fee9d341f64b4c390f9febc9c4a817950.webp\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1e50c189c0277b41ead032540cc04bbd.webp\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F961e963f2089ac2132c3f96821f677dc.webp\">,其中f具有二阶连续偏导数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F160bc97803b5ecdd5dc80ea533da110b.webp\">( ) 【下册第19讲】",{"answer":99,"createTime":23,"id":100,"options":101,"question":106,"source":31,"type":32},[],209711175,[102,103,104,105],"有极大值或极小值","不一定有极值","一定有极小值","一定有极大值","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe22171e76c10c398d7392c02430f40c6.webp\">是二元函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd55285b599b8db67360077f7749a6fb6.webp\">的驻点,则该函数在该点处( )"]