组卷网>知识点选题>分类讨论法证明或求解函数的单调区间(含参)
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2 . 已知函数eqIde0de0681eee04922b710250bed3ca7a2,其中eqIde9edd995034840cfb557ea415074294a.
(1)当eqId982da3835b7946d999cc8604a2ece266时,讨论函数eqId6f13759e937144069819aed2ae5a1057的单调性;
(2)当eqId0be4e678c13c4855b0d3f5c45188da09时,证明eqIdbdbe84612c0241a39de0e6e2a32f807a(其中e为自然对数的底数).
7 . 函数eqId93f107363cc44dac90e052fa3a92ad04
(1)讨论eqId4837c94ef0ff4dcf9b1dda4df363275a的单调性;
(2)设正项数列eqId93e38ecd74a24cb59da79181b95bfd3a满足:eqId77b3f6b9955e499dbdab033a38779496,eqId57fb8d8dd59a4acb99e12c77b33b9c61,当eqIdf367cd519ce142e0b58106cf1e286b6d时,证明:eqId85d6edde3932448ca43cfad402a26500.
10 . 已知函数eqId3879262546fd45328fda62e5a84bca29,其中eqId4959a8a13c0b40f3a3b076626a4b616c为实数.
(1)若函数eqIde4a0e3706b56447b90fe1b2781f91b14的图像与eqIda9cd3f94eb8045438f75e9daccfa7200轴相切于点eqIdf01ac290e45b4943a111c50412a12fb9,求eqId4959a8a13c0b40f3a3b076626a4b616c的值;
(2)若eqIdf354d663bcdc4245bc022f0a1d32f8a8,且eqIde4a0e3706b56447b90fe1b2781f91b14在区间eqIddc9c298f9e234cae8ef878c9a98fc5ff上取到最大值,求eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
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