期末復(fù)習(xí)三Microsoft Word 文檔

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期末復(fù)習(xí)三

1、已知函數(shù)f____________

2、（重慶卷4）已知函數(shù)y=1?x??x??3x?1?x??1?,?4,則g?x??f?x?1??f?x?1?的值域?yàn)?/p>

x?3的最大值為M,最小值為m,則

m的值為_(kāi)________M?5x?3,x??2?3?3、若函數(shù)f?x???,?2?x?0，f?a???3，則a=______

x?1?2??x?7,x?01x?x2f(x)?f(x2)對(duì)于冪函數(shù)f(x)?x2，若0?x1?x2，則f(1大小關(guān)系是_______)，122x?x2f(x1)?f(x2)x?x2f(x1)?f(x2)A、f(1B、f(1)?)?2222x?x2f(x1)?f(x2)C、f(1D、無(wú)法確定)?

22?x2?1,x?04、已知函數(shù)f?x??3x?1,g?x???，則f?g?x??的解析式為_(kāi)_______

?2?x,x?05、若f?x???1?12，則f?x?=________?x??x?x226、已知函數(shù)f?x?為R上奇函數(shù)，當(dāng)x?0時(shí)，f?x??x?2x?1，則f?x?的解析式為_(kāi)_______________

7、若f?x??x值域?yàn)?1,4?，則這樣的函數(shù)的個(gè)數(shù)為_(kāi)__________；

2x?11?x,x??1,2?的值域?yàn)開(kāi)____________；函數(shù)y?2的值域?yàn)?x?11?2x2?8x?1_____________；函數(shù)y?()(?3?x?1)的值域是

3(x?1)0）?x?2x,則函數(shù)f(x）函數(shù)y?的定義域?yàn)開(kāi)_______；若f(x?1的解析式

x?x8、函數(shù)y?為_(kāi)_______；

2x9、函數(shù)y?x的值域?yàn)開(kāi)________；函數(shù)y?2x?22x?1的值域?yàn)開(kāi)____________；

2?1y?x?1的值域?yàn)開(kāi)_________,x?1210、已知函數(shù)y?lgx?ax?1的定義域?yàn)镽，則a的范圍為_(kāi)_________

??11、函數(shù)y?log1(x2?1)的定義域是__________

2

?x2?4x?6,x?012、（2023天津卷文）設(shè)函數(shù)f(x)??則不等式f(x)?f(1)的解集是

?x?6,x?013、（2023遼寧卷文）已知偶函數(shù)f(x)在區(qū)間?0,??)單調(diào)增加，則滿足f(2x?1)＜f()的x取值范圍是__________

14、f?x??maxx?x?2,x?1的最小值為_(kāi)___________

213??15、函數(shù)y?1?2x?2?x的單調(diào)減區(qū)間為_(kāi)___________；函數(shù)f?x??log1調(diào)區(qū)間為_(kāi)_____________；函數(shù)的y?x?16、若函數(shù)f?x??loga?1?a?3?ax??x22?2x?3?的單

1單調(diào)區(qū)間為_(kāi)_______________x在?0,3?上單調(diào)遞增，則實(shí)數(shù)a的范圍為_(kāi)________

???3a?1?x?4a,x?117、已知函數(shù)f?x???在???,???上是單調(diào)減函數(shù)，那么a的范圍為x??loga,x?1____________

18、已知a?xx?3?4,a??x???x?3??0?，則a的取值范圍為_(kāi)_______

?2?x??x?4?219、方程2?x的解的個(gè)數(shù)為_(kāi)___________方程logx2?1????的解的個(gè)數(shù)為_(kāi)_______?3?x20、對(duì)于函數(shù)y?f?x?，在同一坐標(biāo)系中，y?f?x?1?,y?f?1?x?的圖像關(guān)于_______對(duì)稱

21、若函數(shù)在f?x??x?2ax?1在?1,2?上不單調(diào)，則a的范圍為_(kāi)________

222、函數(shù)f?x??x的對(duì)稱中心為?1,1?則a的值為_(kāi)______x?ax2?1},則M?N等于_________

x23、若集合M?{y|y?2},N?{y|y?log0.5224、已知全集U?R，A?x|x?2