[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$fJyfNHPTncRI8lbtqc805hWoILrGhI2QxSSkuommwC9I":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2025-12-12 02:19:40",260602636,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffc6dfea7d4e4ca1a70e3b2fbd594afeb.png\">为\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F870b64c33c23c7729e120858fa3b7a70.png\">的线性主部","自变量的微分等于自变量的增量 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6a067c3356b093a23e7d71b66acc41b3.webp\">","微分是一点处函数该变量的主要部分,只与\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6d54b7bc604dbcacb6f5cbfbafa7b2ac.png\">有关","微分的几何意义是曲线在某点的切线上点的纵坐标对应于\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6d54b7bc604dbcacb6f5cbfbafa7b2ac.png\">的相应改变量",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},21,"1409270d0b7e919bcea9c647531fe80d","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcd6aa804f56468e1fa7bc4a2057046b9.png","高等数学(建院)","work_48747252","2.5节 微分的概念及其运算","以下关于微分的描述不正确的是( )",[21,32,35,44,53,62,71,80,89,97],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],260602635,[25,26,27,28],"充分条件","必要条件","充要条件","上述选项都不正确","函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb6b799dfde736ceffb62dcc4c86cc774.png\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F20f77fdc237d4ab23ff5a7121e162453.png\">可导是\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb6b799dfde736ceffb62dcc4c86cc774.png\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F20f77fdc237d4ab23ff5a7121e162453.png\">可微的( ).","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},[],260602637,[39,40,41,42],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb391f6742beebac51454d52a9e0cee61.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb2bf845c8e6ae4438b53796338c25dce.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ffb08b4a2f8c6e84a8a4c8550848fc0d7.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0409d23cfe7b8bc129044e6829866160.png\">","下列公式错误是",{"answer":45,"createTime":5,"id":46,"options":47,"question":52,"source":30,"type":31},[],260602638,[48,49,50,51],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F55ddb1491fec1eb10359a658a7e9ce32.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4a03571095be3b7d5f0c9b8b92bb4fae.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7e920116dd22a21146e698e22b11e68e.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F065e7fd526acf905d515346241543d44.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F953ddfeeeb22d18a19545683a53cab51.png\">",{"answer":54,"createTime":5,"id":55,"options":56,"question":61,"source":30,"type":31},[],260602639,[57,58,59,60],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd83c97065e2c0394ea936423e05c4b02.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F30382b3430debffc8c501add121328b7.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0f4731bca099224ff63f9db08b19516f.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8f0ce62e1835f49ed3d70e25d35f217c.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F81299ddfd88f25e87c170fe4a6a77e96.png\">",{"answer":63,"createTime":5,"id":64,"options":65,"question":70,"source":30,"type":31},[],260602640,[66,67,68,69],"0.005","0.0025","1.005","1","由微分的近似计算,可知\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F567a0dfa02651aa249873434eb13d85f.png\">( )",{"answer":72,"createTime":5,"id":73,"options":74,"question":79,"source":30,"type":31},[],260602641,[75,76,77,78],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6bc65faf5d9220f92a31b97505b9c0ed.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F81005ac0fa6281ed887d2cf6009e46b8.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F244bef79afee94aea9426dcb2f419d46.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1df16aef3b721cb8a7efb3cec3fb92f.png\">","设\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4dc4dde8d8847437b9da1c23ab3e1e96.png\">,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa1a01c709d3287572f111f9495800b40.png\">为可导函数,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3991db3ca2be2dc1b343aaef02833e4a.png\">( )",{"answer":81,"createTime":5,"id":82,"options":83,"question":88,"source":30,"type":31},[],260602642,[84,85,86,87],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F69fb5529c44af0918e874e44d68f8927.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9d6e2ca69922c84cd1c951a67d028e4b.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8507cc83a927dc4977a784950457c1a4.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8a9ac74410b05d7cdaadcadd728a8223.png\">","函数\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F024c54e919854351fe4e780766fea9f5.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc222b79f0da9e840732c0a6c24177fff.png\">则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F173c43b6a7008941ccb72c351e3ba65e.png\">结果为( )",{"answer":90,"createTime":5,"id":91,"options":92,"question":95,"source":30,"type":96},[],260602643,[93,94],"正确","错误","若\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb6b799dfde736ceffb62dcc4c86cc774.png\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F20f77fdc237d4ab23ff5a7121e162453.png\">处可微,则\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb6b799dfde736ceffb62dcc4c86cc774.png\">在点\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F20f77fdc237d4ab23ff5a7121e162453.png\">处一定不连续",3,{"answer":98,"createTime":5,"id":99,"options":100,"question":101,"source":30,"type":96},[],260602644,[93,94],"导数又称作微商"]