[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fio11oqxgPDlaHdXDq3G0RVvjiFL9JSK0XwjOSQk5jEc":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2025-09-19 08:28:48",217223253,[8,9,10,11],"有限值","无限延伸","等于半径","无法确定",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},40,"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","exam_166498673","高等数学","圆柱面 x2+y2=r2 沿z轴方向的高度为()",[21,32,41,47,53,62,71,80,83,91],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],217223238,[25,26,27,28],"x2+dx","x2dx","2x+dx","2xdx","若 y=x2,则微分 dy=()","v1",0,{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":30,"type":31},[],217223240,[36,37,38,39],"0","1","-1","∞","limx→0 +​xlnx=()",{"answer":42,"createTime":5,"id":43,"options":44,"question":46,"source":30,"type":31},[],217223242,[36,37,45,39],"2","当 x→0 时,sin2x\u002FX​ 的极限为()",{"answer":48,"createTime":5,"id":49,"options":50,"question":52,"source":30,"type":31},[],217223244,[51,37,36,39],"3\u002F2","极限lim\u002Fx→∞ 3x²+2x\u002F2x²-1的值是()",{"answer":54,"createTime":5,"id":55,"options":56,"question":61,"source":30,"type":31},[],217223246,[57,58,59,60],"u=x,dv=sinxdx","u=sinx,dv=xdx","u=xsinx,dv=dx","u=sinx,dv=sinxdx","对于定积分∫0πxsinxdx,使用分部积分法则时,应设()",{"answer":63,"createTime":5,"id":64,"options":65,"question":70,"source":30,"type":31},[],217223249,[66,67,68,69],"2e^(2x-1)+C","(1\u002F2)e^(2x-1)+C","e^(2x-1)+C","-e^(2x-1)+C","∫e^(2x-1) dx 的结果为()",{"answer":72,"createTime":5,"id":73,"options":74,"question":79,"source":30,"type":31},[],217223251,[75,76,77,78],"该点的所有偏导数存在","该点的极限值等于函数值","该点处函数可微","该点的所有方向导数存在","多元函数在某点连续的定义是()",{"answer":81,"createTime":5,"id":6,"options":82,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":84,"createTime":85,"id":86,"options":87,"question":90,"source":30,"type":31},[],"2025-09-19 08:28:49",217223255,[36,88,89,37],"2\u002F3","1\u002F3","定积分 ∫−11​x2dx=()",{"answer":92,"createTime":85,"id":93,"options":94,"question":96,"source":30,"type":31},[],217223257,[36,37,95,51],"1\u002F2","定积分 ∫01​xdx=()"]