组卷网>知识点选题>换元法求函数解析式
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单选题 | 较易(0.85) | 2022·全国高三专题练习
1 . 已知函数eqId6f13759e937144069819aed2ae5a1057在定义域eqId7dcd2312d0bf4bb1befdfcc170e45791上单调,且eqId45f4ca0a3e5c4a4fa9585073df543039时均有eqId67f78f940fc2471182465c214aea9e80,则eqId868d042290e54d8f9233137e080ff0e4的值为(   )
A.3B.1C.0D.eqIdbeffaaf8d5cd43cf8375210d69fce6be
更新:2021/08/02组卷:0
解答题 | 一般(0.65) | 2022·全国高三专题练习
2 . 已知函数eqId6f13759e937144069819aed2ae5a1057满足:eqIdecd173aa641d436b89ef6c986a8171ca
(1)求eqId3691f33055904fe688a0a4139039c0c8的值,并求函数eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)判断并用定义证明函数eqId6f13759e937144069819aed2ae5a1057的单调性.
更新:2021/08/01组卷:0
单选题 | 较易(0.85) | 2022·全国高三专题练习
3 . 若函数eqId144eff5c0e4649138a21f2b1b6a06907eqId803587660aa54dca914e7b4e13306904的图象关于直线eqIdf4cf79cbbea14d298940773ea43ed467对称,则函数eqId42d85ecccc644d8c9500fe5b640d02b1的增区间(   )
A.eqIdd75f6f7e5c6745af8f863dbf27d26e4cB.eqIdbac6dd3e0218479b884589fa5506eac3C.eqIde5f3ee2d6e6a4c18b256f83d5f8f8b27D.eqId0f57d8a8d57848ea8e247addbd988d7f
更新:2021/08/01组卷:0
解答题 | 较易(0.85) | 2022·全国高三专题练习
4 . (1)已知eqIda1d1bc5530f446d790beff3764e68b2e,求eqId6f13759e937144069819aed2ae5a1057eqId3166a50be9874cb7b3174228f919915feqId05e8347ba61643818247fb299f7b637c上的值域;
(2)已知eqId6f13759e937144069819aed2ae5a1057是一次函数,且满足eqIdf37f0e7769f54d01803ea06632ca79c0,求eqIdf0b14ceb9e544c969cbd68b51dcf2319的值域及单调区间.
更新:2021/07/31组卷:0
单选题 | 较易(0.85) | 2020·广东华侨中学高一期中
5 . 已知eqId8a8ae3ff24734749abe0e2106315a155,则eqIda7427f42fc3447eea1e8b335b844bf69 (   )
A.eqId1f79cb660ff34fc0a0306175262bf945B.eqIdd94be5939c4843e2bb2e0b3ded35b7dfC.eqId717e2b409ffe450d8c3d24421e6743efD.eqId45bd0dfa8afb49ee8e77a4dd7a105cae
6 . 已知函数eqIda895f45bf1564b0bb4b411851c578d65,若eqId2ad7db2c5b204839a80110daf5af87aa=10,则实数a的值为(  )
A.5B.9C.10D.11
7 . 已知函数eqId6f13759e937144069819aed2ae5a1057满足eqId4b4335f90ef54adab64d55ed17cdd266,则eqId4d875ae7d4434c778d55e50408060338(   )
A.10B.6C.4D.2
8 . (1)已知eqIde4a0e3706b56447b90fe1b2781f91b14是一次函数,且满足eqId11c324622c2242b88a1f60e3b287a5cc,求eqIde4a0e3706b56447b90fe1b2781f91b14的解析式.
(2)已知eqIde196845e13b54e33987290a85ab847a2,求eqIde4a0e3706b56447b90fe1b2781f91b14的解析式,
9 . 已知eqId92d02c377a0743488abc459f3315a900.
(1)求函数eqId6f13759e937144069819aed2ae5a1057的解析式;
(2)求函数eqId6f13759e937144069819aed2ae5a1057的值域;
(3)若函数eqIdd8a4cad8821a4bae98764649a3806815在定义域上是增函数,求实数k的取值范围.
10 . 已知函数eqId6f13759e937144069819aed2ae5a1057满足eqId0c94c9b7ca7d44ffa78b6d9c22e4f220
(1)求eqId3691f33055904fe688a0a4139039c0c8的值;
(2)求eqId6f13759e937144069819aed2ae5a1057的解析式;
(3)若eqId521a28949b1a4bf7806dac25f5dc611eeqIdca261cb0c4894cb79992eadcf89fd1e2恒成立,求m的取值范围.
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