新高考數(shù)學一輪復習 函數(shù)專項重難點突破專題02 函數(shù)的值域(原卷版)

專題02函數(shù)的值域考點一常見函數(shù)值域一、單選題1．下列函數(shù)中值域為SKIPIF1<0的是（

）A．y=|x-1|B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．當SKIPIF1<0時，則函數(shù)SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0，則SKIPIF1<0的最小值是（

）A．SKIPIF1<0 B．0 C．1 D．24．函數(shù)SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0，則SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題6．下列函數(shù)中，最小值為2的函數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空題7．已知SKIPIF1<0，函數(shù)SKIPIF1<0的值域為______________8．函數(shù)SKIPIF1<0的值域為______.四、解答題9．求下列函數(shù)的值域.(1)SKIPIF1<0;(2)SKIPIF1<0;(3)SKIPIF1<0,SKIPIF1<0.10．求下列函數(shù)的值域：(1)SKIPIF1<0；(2)SKIPIF1<0；(3)SKIPIF1<0；(4)SKIPIF1<0；(5)SKIPIF1<0；(6)SKIPIF1<0；(7)SKIPIF1<0；(8)SKIPIF1<0；(9)SKIPIF1<0.考點二復雜函數(shù)值域一、單選題1．函數(shù)SKIPIF1<0的值域是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題2．函數(shù)SKIPIF1<0的最大值與最小值分別為M和m，則SKIPIF1<0的值為__________．3．已知函數(shù)SKIPIF1<0為偶函數(shù)，則函數(shù)SKIPIF1<0的值域為___________.4．求函數(shù)SKIPIF1<0的值域為_________.5．函數(shù)SKIPIF1<0的值域為__．6．函數(shù)SKIPIF1<0的值域為______.7．函數(shù)SKIPIF1<0的最大值為______.8．若SKIPIF1<0，則函數(shù)SKIPIF1<0的值域是__________．9．函數(shù)SKIPIF1<0的值域是______．三、解答題10．已知SKIPIF1<0，求SKIPIF1<0的取值范圍．11．已知冪函數(shù)SKIPIF1<0過點SKIPIF1<0．(1)求實數(shù)m的值；(2)求函數(shù)SKIPIF1<0的值域．考點三抽象函數(shù)值域一、單選題1．函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，值域為SKIPIF1<0，那么函數(shù)SKIPIF1<0的定義域和值域分別是（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<02．已知函數(shù)SKIPIF1<0對任意SKIPIF1<0，都有SKIPIF1<0，當SKIPIF1<0，SKIPIF1<0時，SKIPIF1<0，則函數(shù)SKIPIF1<0在SKIPIF1<0，SKIPIF1<0上的值域為（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<03．定義在R上的函數(shù)SKIPIF1<0對一切實數(shù)x、y都滿足SKIPIF1<0，且SKIPIF1<0，已知SKIPIF1<0在SKIPIF1<0上的值域為SKIPIF1<0，則SKIPIF1<0在R上的值域是（

）A．R B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題4．若函數(shù)SKIPIF1<0的值域是SKIPIF1<0，則函數(shù)SKIPIF1<0的值域是____________.5．若函數(shù)SKIPIF1<0的值域是SKIPIF1<0，則函數(shù)SKIPIF1<0的值域為__．6．SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，SKIPIF1<0是SKIPIF1<0上的偶函數(shù)，若函數(shù)SKIPIF1<0的值域為SKIPIF1<0，則SKIPIF1<0的值域為_____________．三、解答題7．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，且同時滿足：（Ⅰ）對任意SKIPIF1<0，總有SKIPIF1<0；（Ⅱ）SKIPIF1<0；（Ⅲ）若SKIPIF1<0，則有SKIPIF1<0（1）試求SKIPIF1<0的值；（2）試求函數(shù)SKIPIF1<0的最大值；（3）試證明：當SKIPIF1<0時，SKIPIF1<0.考點四復合函數(shù)值域一、單選題1．已知函數(shù)SKIPIF1<0，則SKIPIF1<0的值域為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則函數(shù)SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知SKIPIF1<0，則SKIPIF1<0的值域為（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<0二、填空題4．函數(shù)SKIPIF1<0的最大值為______.5．函數(shù)SKIPIF1<0的值域是________________．6．若SKIPIF1<0，SKIPIF1<0，求函數(shù)SKIPIF1<0的值域________.7．函數(shù)SKIPIF1<0的值域為______.8．方程SKIPIF1<0有正數(shù)解，則SKIPIF1<0的取值范圍是_________.9．函數(shù)SKIPIF1<0的最小值=__________________．考點五根據(jù)函數(shù)值域求參一、單選題1．已知函數(shù)SKIPIF1<0的值域為SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．(0，4) B．[1，4]∪{0} C．(0，1]∪[4，+∞） D．[0，1]∪[4，+∞）2．已知函數(shù)SKIPIF1<0的值域為SKIPIF1<0的值域為SKIPIF1<0，則SKIPIF1<0（

）A．7 B．8 C．9 D．103．已知函數(shù)SKIPIF1<0，若存在區(qū)間SKIPIF1<0，使得函數(shù)SKIPIF1<0在SKIPIF1<0上的值域為SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0的值域為R，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若對任意的SKIPIF1<0，存在SKIPIF1<0，使SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0若SKIPIF1<0的值域為SKIPIF1<0,則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題7．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，值域為SKIPIF1<0，則實數(shù)對SKIPIF1<0的可能值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0三、填空題8．已知函數(shù)SKIPIF1<0在閉區(qū)間SKIPIF1<0上的值域為SKIPIF1<0，則SKIPIF1<0的最大值為________.9．若函數(shù)SKIPIF1<0的定義域和值域均為SKIPIF1<0，則SKIPIF1<0的值為__________.10．已知SKIPIF1<0，x，y滿足SKIPIF1