專題16構(gòu)造函數(shù)用函數(shù)單調(diào)性判斷函數(shù)值的大小一、單選題1．設(shè)SKIPIF1<0則下列判斷中正確的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．SKIPIF1<0是定義在SKIPIF1<0上的非負(fù)?可導(dǎo)函數(shù)，且滿足SKIPIF1<0，對任意正數(shù)SKIPIF1<0，SKIPIF1<0若SKIPIF1<0，則必有（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．SKIPIF1<0是定義在非零實(shí)數(shù)集上的函數(shù)，SKIPIF1<0為其導(dǎo)函數(shù)，且SKIPIF1<0時(shí)，SKIPIF1<0，記SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0在SKIPIF1<0處取得最大值，則下列判斷正確的是（）①SKIPIF1<0，②SKIPIF1<0，③SKIPIF1<0，④SKIPIF1<0A．①③ B．②③ C．①④ D．②④5．已知奇函數(shù)f(x)的定義域?yàn)镾KIPIF1<0且SKIPIF1<0是f(x)的導(dǎo)函數(shù).若對任意SKIPIF1<0都有SKIPIF1<0則滿足SKIPIF1<0的θ的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則a，b，c的大小關(guān)系是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．SKIPIF1<0上的函數(shù)SKIPIF1<0滿足：SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0的解集為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．若定義域?yàn)镾KIPIF1<0的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，并且滿足SKIPIF1<0，則下列正確的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．已知SKIPIF1<0為定義在SKIPIF1<0上的偶函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0，對于任意的SKIPIF1<0總有SKIPIF1<0成立，則下列不等式成立的有（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．已知SKIPIF1<0是定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0恒成立，則下列判斷正確的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．已知定義在SKIPIF1<0上函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，SKIPIF1<0，有SKIPIF1<0，且SKIPIF1<0.設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（）.A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．下列三個(gè)數(shù)：SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，大小順序正確的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<014．已知函數(shù)SKIPIF1<0（SKIPIF1<0）滿足SKIPIF1<0，且SKIPIF1<0的導(dǎo)函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<015．已知直線SKIPIF1<0與曲線SKIPIF1<0和SKIPIF1<0分別相切于點(diǎn)SKIPIF1<0，SKIPIF1<0.有以下命題：（1）SKIPIF1<0(SKIPIF1<0為原點(diǎn))；（2）SKIPIF1<0；（3）當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0.則真命題的個(gè)數(shù)為（）A．0 B．1 C．2 D．316．已知奇函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的可導(dǎo)函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，有SKIPIF1<0，則不等式SKIPIF1<0的解集為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<017．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，且對于任意的SKIPIF1<0，都有SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<018．設(shè)SKIPIF1<0是定義域?yàn)镽的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的解集為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<019．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<020．已知函數(shù)f(x)(x∈R)滿足SKIPIF1<0，且SKIPIF1<0的導(dǎo)數(shù)f′(x)>SKIPIF1<0，則不等式SKIPIF1<0的解集（）A．(－∞，1) B．(1，＋∞) C．(－∞，－1]∪[1，＋∞) D．(－1，1)21．設(shè)函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的函數(shù)，其中SKIPIF1<0的導(dǎo)函數(shù)SKIPIF1<0滿足SKIPIF1<0對于SKIPIF1<0恒成立，則（）A．SKIPIF1<0SKIPIF1<0，SKIPIF1<0B．SKIPIF1<0SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0SKIPIF1<0，SKIPIF1<0D．SKIPIF1<0SKIPIF1<0，SKIPIF1<022．已知SKIPIF1<0是定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且滿足SKIPIF1<0對任意的SKIPIF1<0都成立，則下列選項(xiàng)中一定正確的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<023．已知函數(shù)f（x）的定義域?yàn)镽，且SKIPIF1<0，則不等式SKIPIF1<0解集為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<024．已知定義域?yàn)镾KIPIF1<0的奇函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系正確的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<025．若函數(shù)SKIPIF1<0，則（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<026．若SKIPIF1<0，則（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<027．設(shè)SKIPIF1<0是定義域?yàn)镽的恒大于0的可導(dǎo)函數(shù)，且SKIPIF1<0，則當(dāng)SKIPIF1<0時(shí)有（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<028．已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0的解集為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<029．已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，其中SKIPIF1<0，則下列選項(xiàng)正確的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題30．下列命題正確的是（）A．若SKIPIF1<0，則SKIPIF1<0 B．若SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0 D．若SKIPIF1<0，則SKIPIF1<031．已知數(shù)列{an}滿足：0＜a1＜1，SKIPIF1<0．則下列說法正確的是（）A．?dāng)?shù)列{an}先增后減 B．?dāng)?shù)列{an}為單調(diào)遞增數(shù)列C．a(chǎn)n＜3 D．SKIPIF1<032．定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，且SKIPIF1<0對SKIPIF1<0恒成立.下列結(jié)論正確的是（）A．SKIPIF1<0B．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0C．SKIPIF1<0D．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<033．已知函數(shù)SKIPIF1<0，若SKIPIF1<0，則下列結(jié)論正確的是（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<034．函數(shù)SKIPIF1<0在定義域R內(nèi)可導(dǎo)，若SKIPIF1<0，且SKIPIF1<0，若SKIPIF1<0，則a，b，c的大小關(guān)系正確的有（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<035．已知函SKIPIF1<0且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（）A．SKIPIF1<0為偶函數(shù) B．SKIPIF1<0在SKIPIF1<0單調(diào)遞增C．SKIPIF1<0 D．SKIPIF1<036．已知函數(shù)SKIPIF1<0，若SKIPIF1<0，則下列結(jié)論正確的是()A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<037．已知函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，若SKIPIF1<0對SKIPIF1<0恒成立，則下列不等式中，一定成立的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<038．對于定義城為R的函數(shù)SKIPIF1<0，若滿足：①SKIPIF1<0；②當(dāng)SKIPIF1<0，且SKIPIF1<0時(shí)，都有SKIPIF1<0；③當(dāng)SKIPIF1<0且SKIPIF1<0時(shí)，都有SKIPIF1<0，則稱SKIPIF1<0為“偏對稱函數(shù)”.下列函數(shù)是“偏對稱函數(shù)”的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<039．下列不等式正確的有（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0三、填空題40．設(shè)SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，若對任意實(shí)數(shù)SKIPIF1<0，都有SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集為_______.41．已知SKIPIF1<0是定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系為_____42．已知函數(shù)SKIPIF1<0，下列結(jié)論中，①函數(shù)SKIPIF1<0的圖象關(guān)于原點(diǎn)對稱；②當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0；③若SKIPIF1<0，則SKIPIF1<0；④若SKIPIF1<0對于SKIPIF1<0恒成立，則a的最大值為SKIPIF1<0，b的最小值為1.所有正確結(jié)論的序號為______.43．已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0的導(dǎo)數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為____.44．已知函數(shù)SKIPIF1<0定義在SKIPIF1<0上的函數(shù)，若SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則不等式SKIPIF1<0的解集為__________45．已