[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"$f3J-e_bMnqArPqSAWNPmmkoaod4Nn1eOKA62LwRFY0e4":3},{"answer":4,"createTime":5,"id":6,"options":7,"origin":12,"question":19,"related":20,"source":30,"type":31},[],"2024-04-15 22:14:37",138544801,[8,9,10,11],"在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F35f06e150269b7ec374cb40c9cca257e.png\">处取极大值","在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47fc2418e76fd4742127c9f5e3d2362d.png\">处取极小值","在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F35f06e150269b7ec374cb40c9cca257e.png\">处取极小值","在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F47fc2418e76fd4742127c9f5e3d2362d.png\">处取极大值",{"count":13,"courseId":14,"courseImg":15,"courseName":16,"workId":17,"workName":18},6,"902d81b62dedebacc02e1c70eeae342c","https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fec94a4d83536f6829a936831d26ea7f8.png","高等数学(理一2)","work_34256643","9.8.1多元函数无条件极值","函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fe79bdbee119a5f15195604dea8173c5b.png\">( )",[21,32,41,50,59,68],{"answer":22,"createTime":5,"id":23,"options":24,"question":29,"source":30,"type":31},[],138544796,[25,26,27,28],"是否取极值与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa3ace43fe42611ad2c8d3f7cea306ab3.png\">有关","是极小值","是极大值","不是极值","已知函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F88b6b0686362ba2f7171419e4a47f460.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5ec94b936d0f056fd86b249cc89d470c.png\">的某邻域内连续,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fd0e426cd506fd4f88ab28b5bd8cd6e41.png\">其中 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa3ace43fe42611ad2c8d3f7cea306ab3.png\">为非零常数,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff938922ea22247c2e433f20b83915c04.png\">( )","v1",0,{"answer":33,"createTime":5,"id":34,"options":35,"question":40,"source":30,"type":31},[],138544797,[36,37,38,39],"驻点,且是极大值点","驻点,但不是极值点","偏导数不存在的点","驻点,且是极小值点","设 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F6785e28812d8a377f65b62a84f3202a9.png\"> 则点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F8c1440821b1dd235b3c910907d46b40f.png\">是该函数的()",{"answer":42,"createTime":5,"id":43,"options":44,"question":49,"source":30,"type":31},[],138544798,[45,46,47,48],"由 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53f8576e9e95718e6be94131169c0f83.png\">可确定函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe2ca3eda54c3fa663541ed4149f4410.png\">,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe2ca3eda54c3fa663541ed4149f4410.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa9545f7e60887de5c5ed3398dd8157ac.png\">处取极大值","由 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53f8576e9e95718e6be94131169c0f83.png\">可确定函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff80db68ac441c87b4c56d2ead73adaab.png\">,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff80db68ac441c87b4c56d2ead73adaab.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4496594bb6f791c6872c9ba04d2d3dab.png\">处取极大值","由 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53f8576e9e95718e6be94131169c0f83.png\">可确定函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe2ca3eda54c3fa663541ed4149f4410.png\">,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fbe2ca3eda54c3fa663541ed4149f4410.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa9545f7e60887de5c5ed3398dd8157ac.png\">处取极小值","由 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F53f8576e9e95718e6be94131169c0f83.png\">可确定函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff80db68ac441c87b4c56d2ead73adaab.png\">,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff80db68ac441c87b4c56d2ead73adaab.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4496594bb6f791c6872c9ba04d2d3dab.png\">处取极小值","设函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F96ee10f45de88982f45a3b8d15c43d77.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5499488bad46677b1ca2ab72754eb5b6.png\">的某邻域内有连续的二阶偏导数,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F9e708c82e31741578f0e70de342fcfe5.png\">, \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F241a8536cac4df8887934383e74fbd2c.png\">, \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F4d49fabd399271c9e89472594c4fbc01.png\">, \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fa83635bdbf9adbaa4b1b5724279e87c5.png\">,则在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5499488bad46677b1ca2ab72754eb5b6.png\">的某邻域内,( )",{"answer":51,"createTime":5,"id":52,"options":53,"question":58,"source":30,"type":31},[],138544799,[54,55,56,57],"取得极小值 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff6fa054daf68665fb96e8846d19f0d4e.png\">","取得极小值 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fdaad39e286b0465c3a8a877b62632715.png\">","不取得极值","取得极大值 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Ff6fa054daf68665fb96e8846d19f0d4e.png\">","函数 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7ad28cd6eed70d2d204f4c46e0c0a5d8.png\">在点 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F97d2bfa2fd54fba1c41e4ed6125b09cd.png\">处( )",{"answer":60,"createTime":5,"id":61,"options":62,"question":67,"source":30,"type":31},[],138544800,[63,64,65,66],"若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5929a844292a72ce6d9e936efa3472ed.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3113110d3540d4f03b924e26950a3a89.png\">","若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F5b9240bde989f35d503f043e311c2d74.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7df86b9da0501804d2f6c302b2591c8a.png\">","若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fcec4b31399d3ffcbc3f5b1c08fef7ed2.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F645520e17c66a8edaa2b629de5f33c2d.png\">","若 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F273176a67ae6177de1015e63fcc75a81.png\">,则 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F7df86b9da0501804d2f6c302b2591c8a.png\">","设 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F88b6b0686362ba2f7171419e4a47f460.png\">与 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F0fc24a577f8593ba97767aa905d29064.png\">均为可微函数,且 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F3964a81b9e7d1d6eae034f1e64fd31e1.png\">. 已知 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F013b92eb82bb5f24f26edfcd4758e12b.png\">是 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002F88b6b0686362ba2f7171419e4a47f460.png\">在约束条件 \u003Cimg src=\"https:\u002F\u002Ftihai-oss-cloud.itihey.com\u002Fimg\u002Fae561267123564c85644a834fb12e984.png\">下的一个极值点,下列选项正确的是( )",{"answer":69,"createTime":5,"id":6,"options":70,"question":19,"source":30,"type":31},[],[8,9,10,11]]