10.求函数定义域(对数复合型函数)-高中数学全部题型大总结(全国版)

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10.求函数定义域(对数复合型函数)

1.(2024·四川成都·模拟预测)已知集合eqIdf389867ddd94f47882c0a939ae3635b8,则eqIdb4b9b470218359a4a47be9244980489e(   )

A.eqId4c0cda49c9328d11bfcc4b4a1ea8a068 B.eqId693b334b6467d7f1037bb8960e057b7a C.eqIdcc5c9dd971addd8ad7d45e074e578546 D.eqId69dcd9264c20f3413a875633884622db

2.(23-24高三上·浙江绍兴·期末)函数eqId10dc7912438a806767f39289d4125934的单调递减区间是(    )

A.eqId9b4280adea02588850b0a1af4844fcea B.eqIde5d6243e93c41978871cb23d8e66148d C.eqIdad2edd8edcb21bd41584daf9bb95a5c7 D.eqId189b2da6c420bf8f8900002d14f65f72

3.(2023·黑龙江大庆·二模)已知集合eqIdf2a31a06d0b0f409d10a554349ab7fef,eqIdfe46be13617d5c199a3c3e2ae4a2a078,则eqIdb4b9b470218359a4a47be9244980489e(    )

A.eqId540065c78744161b9e7692e5bd3b8959 B.eqId121c0d032128b7ddf95bff838b6d0dcc

C.eqId22af8410706dcf963d30ced446e887df D.eqId018c69d773f2b969ec562351f5ac7a94

4.(23-24高三上·河北保定·阶段练习)若eqId316b3ac8da3856a8696de8bd8ddd14d3为奇函数,则eqId6caab963f4f63a4fb28ef7bdcfbb486a的单调递增区间是(    )

A.eqId7160d93f92089ef36f3dab809d3114b8 B.eqIde5d6243e93c41978871cb23d8e66148d

C.eqId1ff4ebd18aed10d88c95e76e66ac49aa D.eqId189b2da6c420bf8f8900002d14f65f72

5.(2024·陕西咸阳·二模)已知集合eqIdd6afc3a7624f0a13e0490ad9b5aa8e50,eqId57ab778577f5df7eec12c280f2507d00,则eqId9b8886b10cead40b74e606c06d76efa2(    )

A.eqIdc8156a557d9b963a77dfd88178789ac7 B.eqId1a8d7032a512f70f4cf4e1712ed8ba8e C.eqIdf1acf4e5255b78d6e7c4bd64ea343dad D.eqId1beb189381103ad1e758fd8cfedb6355

6.(23-24高一上·湖北·期末)若函数eqIdfd3f6fd07931a048c6af84b134b08672在区间eqIdbef2b7bc9b4b7e3e77002bea81505aae内单调递增,则实数m的取值范围为(    )

A.eqId11e2d72f2a7d8e872bc2a09a05323ac7 B.eqId93b5b0fbfa6d2b440511063f5d266233 C.eqId474296f75771d3870177476d0af112f4 D.eqId5e8e919c55e3e073738117501b505bb6

7.(23-24高三上·山东·阶段练习)已知集合eqId0bde55d7f1df4654a036efac10f07165,则eqIdb3b9f7e84867b71bdb8f0d7fd48bd582(    )page number 0

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A.eqIde5f5e5688b5c7e514ee72597690a7676 B.eqIdf8b2be1b0b6bea70d4e64894f1009359

C.eqId6170ed4a10e57487d525e71610dff82f D.eqId38ab4879d5e412739c7aeba46dd0ffdb

8.(2023高一上·全国·专题练习)函数eqId91f4310db75d7750e85021cde7086fb3的定义域是(  )

A.eqIdaa276aadbf0e58996178740a5bd35217 B.eqId978b8d2b354618a7329fa7ed5c4f3256

C.eqIdf7a11b78f0bd3a36a8d2153d8defe944 D.eqId25a0a55dc592a9a271d7f7a10d960412

9.(2024·江西南昌·一模)已知eqId541335e17cd2ff96754fe4f04be439d9,则eqIdb1010846eeec6c9da29640f5aa3f8738是eqId9aa8a716a31b0f51b70fdf9bdb257909的(    )

A.充分不必要条件 B.必要不充分条件

C.充要条件 D.既不充分也不必要条件

10.(22-23高二下·湖北·期中)函数eqId7129598324956757571c97f20e241d21的单调递增区间(    )

A.eqIdccfdd3d02b54e997cbec983d80f6bafd B.eqIdb6cbe547f69053f393d345435c67edfa C.eqId8eeedfe06363c256f8fb8ecefb5eb84e D.eqIdd562dc22dfb3b81d0c3f88b54d063c2f

11.(2023·浙江宁波·一模)设集合eqId6dcaf41cda5c2df78a0ed2ac97277ceb,集合eqId14b4415c1e4c6e13092a7e50878c2671,则eqIdae188ca5cf152a766525c72be662805d(    )

A.eqId83ae18508906c21d3e1199f231b1a9a4 B.eqIdc4779c57101cbb5ec3086d25212d3bae

C.eqId5cf4ac654b78d00f33f86178cf7dca6a D.eqId94f97de151b4dd41898f8b48176e3c7e

12.(2024·浙江金华·模拟预测)若集合eqId7f5e85650c799724b119282bf5e28fd0,eqId122de64eb8dcfb3176096694ca62ee13,则eqIdb4b9b470218359a4a47be9244980489e(    )

A.eqId5963abe8f421bd99a2aaa94831a951e9 B.eqId7f9e8449aad35c5d840a3395ea86df6d C.eqId9a837165ca03f9e4ea8964979c95e3bb D.eqIdb3744e71abf4b43e128eabea9181b712

13.(23-24高一上·广东深圳·期中)下列命题正确的是(    )

A.函数eqId0909be24b41a77712824ebd1542604de在区间eqId02e1c9c97de9198d47306216e9961b80上单调递减

B.函数eqId73091994488d3fd891e76ddbcdd3037c在R上单调递增

C.函数eqId303ba00528b73c7bb68534a163dee713在区间eqIdc9414348d57c7fc77dcfa8f0744cb0c9上单调递减

D.函数eqId28693cd6bdee6125858466e4667a6773与eqId05afec9a3eb6baaaa45c0f1ca2b62d29的图像关于直线eqIdd77f5191798242b7b9b88a75e17e4425对称page number 1

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14.(21-22高一·全国·课后作业)已知函数eqId59fd6f4982e2cf90d1a1b71ede229b1d,eqId40e72f6b2ef3329828cb8fc873eeba7c,则下列说法正确的是(    )

A.若函数eqId4fe7d5809da02c15a43a0e9a898b9086的定义域为eqIdcf3ed15aa3dcc4211fb520b5b942c989,则实数eqId294f5ba74cdf695fc9a8a8e52f421328的取值范围是eqIdc989998c79c56336e038cc669d88bafb

B.若函数eqId4fe7d5809da02c15a43a0e9a898b9086的值域为eqIdc5a32cee2ccf0a041d2e81f4a68dea7b,则实数eqId8493a0cd10d3d0399173c04163740a38

C.若函数eqId4fe7d5809da02c15a43a0e9a898b9086在区间eqId24c728f94b77941ae0962f6cc9f72da3上为增函数,则实数eqId294f5ba74cdf695fc9a8a8e52f421328的取值范围是eqId5fe7bcabcfb85b89d906401bb4a64c6b

D.若eqIdfd876a2ed79c64bacc3e64b8ee92735e,则不等式eqId0b61adc4745f283e4072ddd762f92ffe的解集为eqId9d9889657db0e82c4f1c439c92963785

15.(23-24高一上·江苏泰州·期中)已知函数eqIde6ae5651365385f2f3f2f53c847da471,则(    )

A.eqId09f86f37ec8e15846bd731ab4fcdbacd的定义域为eqIdcf3ed15aa3dcc4211fb520b5b942c989

B.eqId824c5207e02a56094e76998cfbf4288f

C.当eqId08115d6d9f876dea921a4d32260ff1fb时,eqIda0b42b87f52380850938ea4c89ebe368

D.对定义域内的任意两个不相等的实数eqIdf10dc197e186f86cb585524a4bc6caff恒成立.

16.(2023·广东·模拟预测)已知函数eqIdc97788f01763ea49b8c58d3af8421f89,则(   )

A.当eqId49fe8282fb8035a439eede627d50af5b时,eqId09f86f37ec8e15846bd731ab4fcdbacd的定义域为R

B.eqId09f86f37ec8e15846bd731ab4fcdbacd一定存在最小值

C.eqId09f86f37ec8e15846bd731ab4fcdbacd的图象关于直线eqId1c98a7f3a8bf384b1dfc1d34aebd46d2对称

D.当eqIdd191d6de821fbb06a51b5a20112db6de时,eqId09f86f37ec8e15846bd731ab4fcdbacd的值域为R

17.(22-23高一上·重庆渝中·期末)已知函数eqId68fa1be026722b7f50a9c20a4e2e57cd,则(    )

A.eqId4fe7d5809da02c15a43a0e9a898b9086的定义域为(0,2)

B.eqId4fe7d5809da02c15a43a0e9a898b9086是奇函数

C.eqId4fe7d5809da02c15a43a0e9a898b9086的单调递减区间是(1,2)

D.eqId4fe7d5809da02c15a43a0e9a898b9086的值域为R

18.(22-23高一上·湖北武汉·期末)已知函数eqId0e775e6bed791b33dba39a5aca0a335c,下列说法正确的有(    )page number 2

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