新高考數(shù)學一輪復習 函數(shù)專項重難點突破專題18 函數(shù)背景下的不等式問題(原卷版)

專題18函數(shù)背景下的不等式問題考點一利用圖像解不等式一、單選題1．函數(shù)f（x）的圖象如圖所示，則SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．已知函數(shù)SKIPIF1<0的圖像如圖所示，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0，若SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．[0，1]4．若關于SKIPIF1<0的不等式SKIPIF1<0在SKIPIF1<0上有解，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0滿足SKIPIF1<0若SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．已知定義在R上的奇函數(shù)SKIPIF1<0在SKIPIF1<0上的圖象如圖所示，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0，則SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．定義：設不等式SKIPIF1<0的解集為M，若M中只有唯一整數(shù)，則稱M是最優(yōu)解．若關于x的不等式SKIPIF1<0有最優(yōu)解，則實數(shù)m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．定義在SKIPIF1<0上函數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0.當SKIPIF1<0時，SKIPIF1<0，則下列選項能使SKIPIF1<0成立的為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0時SKIPIF1<0，若SKIPIF1<0的解集為SKIPIF1<0，其中SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．已知函數(shù)SKIPIF1<0，若滿足SKIPIF1<0的整數(shù)解恰有3個，則實數(shù)SKIPIF1<0的范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題12．若SKIPIF1<0，則下列選項可能成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．函數(shù)SKIPIF1<0，若不等式SKIPIF1<0恒成立，則a的值可以為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<014．已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，當SKIPIF1<0時，SKIPIF1<0的圖象如圖所示，那么滿足不等式SKIPIF1<0的x的可能取值是（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．2三、填空題15．若函數(shù)SKIPIF1<0定義在SKIPIF1<0上的奇函數(shù)，且在SKIPIF1<0上是增函數(shù)，又SKIPIF1<0，則不等式SKIPIF1<0的解集為_____________16．不等式SKIPIF1<0的解集為________．17．已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集是______.18．已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0有四個不同的零點SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的取值范圍是________．考點二利用函數(shù)性質解不等式1．奇函數(shù)SKIPIF1<0在定義域SKIPIF1<0上是減函數(shù)，若SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0為定義在SKIPIF1<0上的奇函數(shù)，SKIPIF1<0，若SKIPIF1<0總有SKIPIF1<0．則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0，則關于x的不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，SKIPIF1<0，對任意SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0在SKIPIF1<0上為奇函數(shù)，則不等式SKIPIF1<0的解集滿足（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0若對任意的SKIPIF1<0，存在SKIPIF1<0，使SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．設函數(shù)SKIPIF1<0在定義域SKIPIF1<0上滿足SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0上是減函數(shù)，且SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．已知定義域為SKIPIF1<0的奇函數(shù)SKIPIF1<0的圖象是一條連續(xù)不斷的曲線，當SKIPIF1<0時，SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0，且SKIPIF1<0，則關于SKIPIF1<0的不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，其導函數(shù)為SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0，對任意的SKIPIF1<0，都有SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0，若SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．已知函數(shù)SKIPIF1<0，若SKIPIF1<0，不等式SKIPIF1<0恒成立，則正實數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．已知函數(shù)SKIPIF1<0，若對任意正數(shù)SKIPIF1<0，SKIPIF1<0，都有SKIPIF1<0恒成立，則實數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．已知實數(shù)SKIPIF1<0，SKIPIF1<0，且滿足SKIPIF1<0恒成立，則SKIPIF1<0的最小值為（

）A．2 B．1 C．SK