專題二 函數(shù)概念與基本初等函數(shù) 第四講指數(shù)函數(shù)對(duì)數(shù)函數(shù)冪函數(shù)

1、專題二函數(shù)概念與基本初等函數(shù)Ⅰ第四講指數(shù)函數(shù)、對(duì)數(shù)函數(shù)、冪函數(shù)一、選擇題1(2018天津)已知，則的大小關(guān)系為13313711log()log245abc???abcABCDabc??bac??cba??cab??2(2018全國(guó)卷Ⅱ)函數(shù)的圖像大致為2()???xxeefxx3(2018全國(guó)卷Ⅲ)下列函數(shù)中，其圖象與函數(shù)的圖象關(guān)于直線對(duì)稱的是lnyx?1x?ABCDln(1)yx??ln(2)yx??ln(1)yx??ln(2)yx?

2、?4（2017新課標(biāo)Ⅰ）已知函數(shù)，則()lnln(2)fxxx???A在單調(diào)遞增B在單調(diào)遞減()fx(02)()fx(02)C的圖像關(guān)于直線對(duì)稱D的圖像關(guān)于點(diǎn)對(duì)稱()yfx?1x?()yfx?(10)5（2017新課標(biāo)Ⅱ）函數(shù)的單調(diào)遞增區(qū)間是2()ln(28)fxxx???ABCD(2)???(1)??(1)??(4)??6（2017天津）已知奇函數(shù)在上是增函數(shù)若，，()fxR21(log)5af??2(log4.1)bf?0.8(2)

3、cf?，則的大小關(guān)系為abcABCDabc??bac??cba??cab??7（2017北京）已知函數(shù)，則1()3()3xxfx??()fxA是偶函數(shù)，且在R上是增函數(shù)B是奇函數(shù)，且在R上是增函數(shù)C是偶函數(shù)，且在R上是減函數(shù)D是奇函數(shù)，且在R上是增函數(shù)8（2017山東）若函數(shù)(e=271828，是自然對(duì)數(shù)的底數(shù))在的定義域上單調(diào)遞增，則稱函e()xfx?()fx數(shù)具有性質(zhì)，下列函數(shù)中具有性質(zhì)的是()fxMMABCD()2xfx??2()

4、fxx?()3xfx??()cosfxx?9（2017北京）根據(jù)有關(guān)資料，圍棋狀態(tài)空間復(fù)雜度的上限M約為，而可觀測(cè)宇宙中普通物質(zhì)的原3613子總數(shù)約為則下列各數(shù)中與最接近的是N8010MN（參考數(shù)據(jù)：≈048）lg3且，則(2)(4)1ff????a?ABCD1?12419（2014山東）已知函數(shù)（為常數(shù)，其中）的圖象如圖，則下列結(jié)論成log()ayxc??ac01aa??立的是AB01ac??101ac???CD011ac???010

5、1ac????20（2014安徽）設(shè)，，，則3log7a?1.12b?3.10.8c?ABCDcab??bac??abc??bca??21（2014浙江）在同一直角坐標(biāo)系中，函數(shù)xxgxxxfaalog)()0()(???的圖像可能是xy1xy1xyxy1OOOO111111111ABCD22（2014天津）函數(shù)的單調(diào)遞增區(qū)間是212()log(4)fxx=ABCD()0()0()2()223（2013新課標(biāo)）設(shè)357log6log10

6、log14abc???，則Acba??Bbca??Cacb??Dabc??24（2013陜西）設(shè)abc均為不等于1的正實(shí)數(shù)則下列等式中恒成立的是Alogloglogaccbab?Bloglologgaaabab?CD()loggogollaaabbcc???()logogglloaaabcbc?A25（2013浙江）已知yx為正實(shí)數(shù)，則Ayxyxlglglglg222???Blg()lglg222xyxy??ACyxyxlglglglg