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单选题 | 较易(0.85) | 2020·江苏宿迁中学
解题方法
1 . 定义:若函数eqId144eff5c0e4649138a21f2b1b6a06907eqId0cd8063abf2b458f80091bc51b75a904上可导,即eqId67234bd198cf4dd9bf218e2567e2b9c5存在,且导函数eqId67234bd198cf4dd9bf218e2567e2b9c5eqId0cd8063abf2b458f80091bc51b75a904上也可导则称eqId144eff5c0e4649138a21f2b1b6a06907eqId0cd8063abf2b458f80091bc51b75a904上存在二阶导函数记eqId3cf229f317094cd4a5b2f2b1ea41bed4,若eqIde5f1942dd0c348c4ba555511988f5cd2eqId0cd8063abf2b458f80091bc51b75a904上恒成立,则称eqId144eff5c0e4649138a21f2b1b6a06907eqId0cd8063abf2b458f80091bc51b75a904上为“凸函数”.①eqId24f83bfbb1834814a0ac64c27f114342;②eqId482e08ef86c144d4ad6596033b65b5dd;③eqId2e7c6fa5512e4cf5a5184180ef514f00;④eqIdc2a1e81531fc4abcbe4e37b2f7f45126;这四个函数在eqIde6f0135bac5841c29e2738ce18899eb3上为“凸函数”的有(   )
A.1个B.2个C.3个D.4个
填空题 | 较易(0.85) | 2021·全国高二专题练习
解题方法
同步
2 . 函数yx+eqId5b55a800c13841a9a950777de0f0dec7在[xx+Δx]上的平均变化率eqIdde594c4e92f64630b0a0b9afc747eed8_____
知识点:
单选题 | 一般(0.65) | 2020·全国高三专题练习(文)
3 . 若曲线eqId64827682c78a42d984e17c2ae4391de1eqIde2438cad3e88423da9bd343eb1d680a9处的切线也是eqId64c989751dde4fd1bfa0456d11878f7b的切线,则eqIde6581f86694d4da4afaef4d6876ce375(   )
A.-1B.-2
C.2D.eqId5f9c67d949d5423687994106ee998863
更新:2020/09/02组卷:57
单选题 | 较难(0.4) | 2020·全国高三专题练习
解题方法
4 . 已知eqIde1b279a8aba84c6b8d51ce092a639c2a,则下列结论中错误的是
A.eqId3c914e201926438e91bfd929ab0bd68beqIdb7225f1831c549c4842fea6bf44c6931eqId2b9c2b69b2e84958ac765ae1e312aa93
B.eqId3c914e201926438e91bfd929ab0bd68beqId5d4cc622b8094095847e9f23c912ea5eeqId8fc29f78d9744140b2db99d941134919
C.eqId307f26aa96a44cb0a1936eca4c7d74c1eqIdb7225f1831c549c4842fea6bf44c6931eqId2b9c2b69b2e84958ac765ae1e312aa93
D.eqId307f26aa96a44cb0a1936eca4c7d74c1eqId5d4cc622b8094095847e9f23c912ea5eeqId8fc29f78d9744140b2db99d941134919
单选题 | 一般(0.65) | 2020·全国高三专题练习(理)
解题方法
5 . 已知函数eqIdb0217393cc8449869f1109c550769c67,其导函数记为eqId2c08540654864e3a8049918cdd43889c,则eqIdc555d9a0774d4d89bd900fbab230f5f9的值为(   )
A.2B.1C.0D.−2
更新:2020/05/26组卷:196
填空题 | 一般(0.65) | 2020·全国
解题方法
6 . 有如下结论:若无穷等比数列eqId2c1230a9ef5a4968be599681d676dd2b的公比eqIda5d0fc594d4048549d5bbda484fbecc8满足eqId1998e73e375c4e41ab96d14c20b850d8,则它的各项和eqId36f3bab2214340b1bcd45a82e95dea61.已知函数eqId87b8a07ad1814790a21a5435ec0dcf7d,则eqId144eff5c0e4649138a21f2b1b6a06907的图象与eqId8e15963708e9415da25069fea5906e24轴围成的所有图形的面积之和为__.
7 . 已知函数eqIdf49c69717cd149e8be83c438ee90cb66(eqIda9cd3f94eb8045438f75e9daccfa7200) =eqIdf0913d5b3fec4d158489e7ddeaad7da1,g (eqIda9cd3f94eb8045438f75e9daccfa7200)=eqIda9cd3f94eb8045438f75e9daccfa7200+eqIdfd22ad4de9a24350b6589e49ee59c1a4
(1)求函数h (eqIda9cd3f94eb8045438f75e9daccfa7200)=eqIdf49c69717cd149e8be83c438ee90cb66(eqIda9cd3f94eb8045438f75e9daccfa7200)-g (eqIda9cd3f94eb8045438f75e9daccfa7200)的零点个数,并说明理由;
(2)设数列eqId82882ac7c88f47868d2540869c382807满足eqIdb13f3ff07ed042979ec24cb0884573bfeqId639708be07f743298ba04ee3186961ed,证明:存在常数M,使得对于任意的eqIdfb0a764a25764da197b976f9f2240dc0,都有eqIdef9cef8e6d054d8dac46b8cde14953adeqId2381423d4cd146cab95f55527681a766.
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