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设函数eqIdac822fc740a0433daa485e4a3e4e9ab4.
(Ⅰ)求证:当eqId83d9f9b9b6524326b1ee68c926ee7501时,eqId8953814a05c94d71866b67a8351976a6
(Ⅱ)存在eqId83d9f9b9b6524326b1ee68c926ee7501,使得eqIda2a0bc615c5442439fc21ac011c87ba6成立,求a的取值范围;
(Ⅲ)若eqId9eb423440deb45cba85ec4f5b2b64f98eqId83d9f9b9b6524326b1ee68c926ee7501恒成立,求b的取值范围.
更新:2020/04/05 难度:0.4 题型:解答题 组卷:315
已知函数eqIdbdad5fe91f1947d2881f8827d0d8dfb6,存在eqIdf7cbc1ad0a7b4f97b479c131b62ad882eqIdaecaf42a9cfb4a5c8c0cade53729c9baeqId1f12fe77eb9a43e89aa3ea0e9331aadceqId71e76eec5eb24e488070cc44a96d23ed,使得eqIdb8b88b3208ec46ef81effeb733838782成立,则eqIdf458db68122849abb588feb2e682d9ac的最大值为(   )
A.eqIdddd35c5d043e4ebeac32a99367053c68B.eqId8f65c930571d4ff6aa6a50029d46826eC.eqIddd4bf187d3fd47f6bcc24e568e09643eD.eqIdecb828cf922546bb9760e0ce5c95a9cb
更新:2020/04/05 难度:0.4 题型:单选题 组卷:208
对于三次函数eqId4e048a0e44544fe19cfdcb59804bc69b有如下定义:设eqId2c08540654864e3a8049918cdd43889c是函数eqId6f13759e937144069819aed2ae5a1057的导函数,eqIde0422507ff394bcdbf47c06d7f9fdd97是函数eqId2c08540654864e3a8049918cdd43889c的导函数,若方程eqId5d73e5950cba4e179b6e10d87f042209有实数解eqId3a4208e0040c42ed8b09de2cae9d562e,则称点eqIdb34a586e57214bd39dbba60a136061a9为函数eqId6f13759e937144069819aed2ae5a1057的“拐点”,若点eqId2db28090bf954b32b7af712c46f57448是函数eqId62ca569af7a34e809ecb6c0819f23154的“拐点”,则函数eqIda68480e00ab8463a8ba0d44580837bad的最大值是__________.
更新:2020/04/05 难度:0.65 题型:填空题 组卷:0
已知函数eqId8ce5498577434d408d50db76041f36a8.
(1)求函数eqId5d8eb4565609426baa691a21a2826846的单调区间;
(2)求证:函数eqId44ff968618b44c27b1619ebbf697703c的图象在eqId8e15963708e9415da25069fea5906e24轴上方.
更新:2020/04/05 难度:0.4 题型:解答题 组卷:0
已知函数eqId18090b2bc7404c339bc0e864a53b54ceeqId89c488e3206d434fb7655e700a5dddf9.
(1)讨论函数eqId4837c94ef0ff4dcf9b1dda4df363275a的极值;
(2)若eqId982da3835b7946d999cc8604a2ece266,求函数eqId4837c94ef0ff4dcf9b1dda4df363275a在区间eqId7080e98f665346d1899fef3a00732af8上的最值.
更新:2020/04/05 难度:0.4 题型:解答题 组卷:180
已知函数eqId0160a0562dbc4680b8de9568c27e5583
(1)设eqId3bd46a8c7f144b9c85c5c7f73511a711,
①当eqIdd78df7c3aa4747a4b868757aa0e4e3f5时,求曲线eqIdd50ffa19de5b4f03ad04957e885b560f在点eqId9ed59ea27e634c15848207d17c1df800处的切线方程;
②当eqId982da3835b7946d999cc8604a2ece266时,求证:eqIdf0299a0f13214d44b4938eb59c8eb32b对任意eqId45f4ca0a3e5c4a4fa9585073df543039恒成立.
(2)讨论eqIdaa46d12024a14551a2bbc8e14a9a28ca的极值点个数.
更新:2020/04/05 难度:0.15 题型:解答题 组卷:0
设函数eqId2ad00897375b4917aae0d64473f82eb1的两个极值点分别为eqIdca06d7ef3b984e8c8fb8f7d217749d05,若eqId10eb45e7a39e4eb6a972c0391821f870恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围是_______.
更新:2020/04/05 难度:0.15 题型:填空题 组卷:0
定义:若函数eqId6f13759e937144069819aed2ae5a1057的导函数eqId2c08540654864e3a8049918cdd43889c是奇函数(eqIdb4eb86e5bce941da9e259804f8cc4618),则称函数eqId6f13759e937144069819aed2ae5a1057是“双奇函数” .函数eqIdee20b84df7174449b3b4bf55edb9fa06
(1)若函数eqId6f13759e937144069819aed2ae5a1057是“双奇函数”,求实数eqId70a27b6ddf6b478285353abb3b1f3741的值;
(2)假设eqIdd21a0fdd15b34bb98c87343f74e4ebb8
(i)在(1)的条件下,讨论函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的单调性;
(ii)若eqIdca4ab76061b14cdfbb5b2cb8cf37b9c0,讨论函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的极值点.
更新:2020/04/05 难度:0.4 题型:解答题 组卷:208