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專題02函數(shù)的值域考點(diǎn)一常見函數(shù)值域一、單選題1.下列函數(shù)中值域?yàn)镾KIPIF1<0的是(
)A.y=|x-1|B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.當(dāng)SKIPIF1<0時(shí),則函數(shù)SKIPIF1<0的值域?yàn)椋?/p>
)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?yàn)椋?/p>
)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?yàn)椋?/p>
)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?yàn)開_____________8.函數(shù)SKIPIF1<0的值域?yàn)開_____.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(diǎn)二復(fù)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?yàn)開__________.4.求函數(shù)SKIPIF1<0的值域?yàn)開________.5.函數(shù)SKIPIF1<0的值域?yàn)開_.6.函數(shù)SKIPIF1<0的值域?yàn)開_____.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(diǎn)SKIPIF1<0.(1)求實(shí)數(shù)m的值;(2)求函數(shù)SKIPIF1<0的值域.考點(diǎn)三抽象函數(shù)值域一、單選題1.函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0,值域?yàn)镾KIPIF1<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(duì)任意SKIPIF1<0,都有SKIPIF1<0,當(dāng)SKIPIF1<0,SKIPIF1<0時(shí),SKIPIF1<0,則函數(shù)SKIPIF1<0在SKIPIF1<0,SKIPIF1<0上的值域?yàn)椋?/p>
)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(duì)一切實(shí)數(shù)x、y都滿足SKIPIF1<0,且SKIPIF1<0,已知SKIPIF1<0在SKIPIF1<0上的值域?yàn)镾KIPIF1<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?yàn)開_.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?yàn)镾KIPIF1<0,則SKIPIF1<0的值域?yàn)開____________.三、解答題7.已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0,且同時(shí)滿足:(Ⅰ)對(duì)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(dāng)SKIPIF1<0時(shí),SKIPIF1<0.考點(diǎn)四復(fù)合函數(shù)值域一、單選題1.已知函數(shù)SKIPIF1<0,則SKIPIF1<0的值域?yàn)椋ǎ〢.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0,則函數(shù)SKIPIF1<0的值域?yàn)椋?/p>
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.已知SKIPIF1<0,則SKIPIF1<0的值域?yàn)椋?/p>
)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?yàn)開_____.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(diǎn)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?yàn)镾KIPIF1<0,則實(shí)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?yàn)镾KIPIF1<0的值域?yàn)镾KIPIF1<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?yàn)镾KIPIF1<0,則實(shí)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?yàn)镽,則實(shí)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(duì)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?yàn)镾KIPIF1<0,則實(shí)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?yàn)镾KIPIF1<0,值域?yàn)镾KIPIF1<0,則實(shí)數(shù)對(duì)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?yàn)镾KIPIF1<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
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