[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$ffNDw9nRiexapISUM7DbQwgxsQgwphCftDHLdnk9STmE":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2025-12-20 02:00:16",274824638,[8,9,10,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F66db38425e8dd8f1ee2617eac3c924eb.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5f7900f3d2647e40437b985fd60fb329.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe8c6cb2a7215b83609698ce5893c8072.png\">","无",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},16,"53e1d2ef4961cca8eea3e23969ad2cb9","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F03a579384a6dc297c89809b582fcc767.png","默认课程","8a3aa6a44341499daaa74c5dc2e58adc","3.4凹凸性与拐点","曲线y =\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1115b9dd74d95965dc81efce81e84470.png\">的拐点是( )",[21,32,40,45,48,57,62,67,72,81],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],274824635,[25,26,27,28],"在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1ceb3801c1aa671a8d343ea348216f2.png\"> 上是凸的","在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1ceb3801c1aa671a8d343ea348216f2.png\"> 上凹的","在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1ceb3801c1aa671a8d343ea348216f2.png\"> 上有拐点","在\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe1ceb3801c1aa671a8d343ea348216f2.png\">没有凹凸性","关于曲线\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fec45b8717b80a1e6a6d6aebf4bb89ac9.png\">,下列说法正确的是( )","v1",0,{"answer":33,"createTime":5,"id":34,"options":35,"question":39,"source":30,"type":31},[],274824636,[36,37,38,11],"\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbced2fdc87bef424c79f1cae36518d67.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1d01e10f47b2e3fa865be5d30f766afc.png\">","\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb8b6c63364df69b48d687e24293c588d.png\">","曲线y =\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1115b9dd74d95965dc81efce81e84470.png\">的凸区间是( )",{"answer":41,"createTime":5,"id":42,"options":43,"question":44,"source":30,"type":31},[],274824637,[37,38,36,11],"曲线y =\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F1115b9dd74d95965dc81efce81e84470.png\">的凹区间是( )",{"answer":46,"createTime":5,"id":6,"options":47,"question":19,"source":30,"type":31},[],[8,9,10,11],{"answer":49,"createTime":5,"id":50,"options":51,"question":56,"source":30,"type":31},[],274824639,[52,53,54,55],"凸向递增","凸向递减","凹向递减","凹向递增","已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb0be95d0b2b90c406780029709a2fc1b.png\">上函数图象的单调和凹凸情况是( )\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F57b386aac9b626fe156d4f68f241dd6f.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb0be95d0b2b90c406780029709a2fc1b.png\"> 1 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4edeb6227465e4b9d4c256a13add9256.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F00eaac4b45e1b3b25191994e2a9c4639.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F10909e9fb02e91d84208ada4c01165bb.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4c9cd066a4297c82c9561ddecc920657.png\"> + 0 - - - \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F374141c420274ba02028424e63bca4de.png\"> - - - 0 +",{"answer":58,"createTime":5,"id":59,"options":60,"question":61,"source":30,"type":31},[],274824640,[52,53,54,55],"已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd02c1081faab7353bdbd698a25cfce97.png\">上函数图象的单调和凹凸情况是( )\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F57b386aac9b626fe156d4f68f241dd6f.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9a042f31fa08cb588698be6bcc304ea3.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc8442ec5f2821238deceb0ee0aec9c60.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd02c1081faab7353bdbd698a25cfce97.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc388dd7de75ebadde08fa463e7b548b2.png\">\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3cd7a378f77482df1e19e0700ba7cbe8.png\"> 0 y&prime; - - - 0 + 1 y&Prime; - 0 + + + 0",{"answer":63,"createTime":5,"id":64,"options":65,"question":66,"source":30,"type":31},[],274824641,[52,53,54,55],"已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F786e9e9b1913a4602d64e2d8da74d475.png\">上函数图象的单调和凹凸情况是( ) \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F57b386aac9b626fe156d4f68f241dd6f.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc17f879a1a1d11589df62d10cf4fff93.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc388dd7de75ebadde08fa463e7b548b2.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3cd7a378f77482df1e19e0700ba7cbe8.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F67c309d7b1ab03046a428a0cb6c8faa2.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb0be95d0b2b90c406780029709a2fc1b.png\"> 1 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F786e9e9b1913a4602d64e2d8da74d475.png\"> y&prime; + 0 - -1 - 0 + y&Prime; - - - 0 + + +",{"answer":68,"createTime":5,"id":69,"options":70,"question":71,"source":30,"type":31},[],274824642,[52,53,54,55],"已知某函数一阶和二阶导数在各区间上的取值符号如下表,则在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F368ee7a635c254166da9d6aa7c658635.png\">上函数图象的单调和凹凸情况是( ) \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F57b386aac9b626fe156d4f68f241dd6f.png\"> \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fda5dc9d26d3924b5f6c15bd9f011ed88.png\"> 1 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F368ee7a635c254166da9d6aa7c658635.png\"> 2 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F67940a6f738b2cc79e82975da386b3cb.png\"> y&prime; + 0 - - - y&Prime; - - - 0 +",{"answer":73,"createTime":5,"id":74,"options":75,"question":80,"source":30,"type":31},[],274824643,[76,77,78,79],"单调减且凸","单调减且凹","单调增且凸","单调增且凹","如当 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7e784f063b48cda4192d386336986594.png\">时,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fc5fe05739777b1a7bc8aacc90846bde9.png\"> ,\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0e36dca2f7263d6a623276b4d8b80ab6.png\">,则曲线\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0ed283ea1bc9b8d243f2fd4e21ceff05.png\">在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F86425bdd7b8f345edbb9e3243ec1bc55.png\"> 上( )",{"answer":82,"createTime":5,"id":83,"options":84,"question":85,"source":30,"type":31},[],274824644,[76,77,78,79],"当\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcfc7ae5ff2b633a5017338fd66afc21a.png\">时,如果\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd4fc5fdb5e7286d4734e4cd7d2f7ca11.png\">,则曲线\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fb9fd3764550f8482c2ab2eef5e7f45ec.png\">在区间\u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3f4e00801a1b5603b74a9dfd28054f47.png\">上( )"]