新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項重難點突破專題17 函數(shù)求參問題(原卷版)

專題17函數(shù)求參問題真題呈現(xiàn)一、單選題1．設(shè)函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．函數(shù)SKIPIF1<0存在3個零點，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知SKIPIF1<0是偶函數(shù)，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．24．若SKIPIF1<0為偶函數(shù)，則SKIPIF1<0（

）．A．SKIPIF1<0 B．0 C．SKIPIF1<0 D．15．若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<06．設(shè)SKIPIF1<0，函數(shù)SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)恰有6個零點，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、填空題7．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0有且僅有3個零點，則SKIPIF1<0的取值范圍是________．8．若SKIPIF1<0為偶函數(shù)，則SKIPIF1<0________．9．若函數(shù)SKIPIF1<0有且僅有兩個零點，則SKIPIF1<0的取值范圍為_________．10．設(shè)SKIPIF1<0，若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則a的取值范圍是______.11．設(shè)SKIPIF1<0，對任意實數(shù)x，記SKIPIF1<0．若SKIPIF1<0至少有3個零點，則實數(shù)SKIPIF1<0的取值范圍為______.12．已知SKIPIF1<0，函數(shù)SKIPIF1<0若SKIPIF1<0，則SKIPIF1<0___________.13．已知函數(shù)SKIPIF1<0是偶函數(shù)，則SKIPIF1<0______.三、雙空題14．已知函數(shù)SKIPIF1<0則SKIPIF1<0________；若當SKIPIF1<0時，SKIPIF1<0，則SKIPIF1<0的最大值是_________．15．若SKIPIF1<0是奇函數(shù)，則SKIPIF1<0_____，SKIPIF1<0______．16．設(shè)函數(shù)SKIPIF1<0若SKIPIF1<0存在最小值，則a的一個取值為_____；a的最大值為___________．考點一定義域、值域求參一、單選題1．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<02．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，若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，值域為SKIPIF1<0，則實數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0，SKIPIF1<0.若存在SKIPIF1<0，SKIPIF1<0，使得SKIPIF1<0，則實數(shù)a的取值范圍是（

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

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題6．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，值域為SKIPIF1<0，則SKIPIF1<0的值可能為（

）A．2 B．3 C．4 D．5三、填空題7．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則實數(shù)a的取值范圍為______.8．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則實數(shù)SKIPIF1<0的范圍________.9．函數(shù)SKIPIF1<0在SKIPIF1<0上有意義，則實數(shù)a的取值范圍為______．10．已知函數(shù)SKIPIF1<0（SKIPIF1<0）的最小值為2，則實數(shù)a的取值范圍是______．四、雙空題11．若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則a的取值范圍為__________；若函數(shù)SKIPIF1<0的值域為SKIPIF1<0，則a的取值范圍為__________.五、解答題12．已知函數(shù)SKIPIF1<0.(1)若SKIPIF1<0的定義域為[－2,1]，求實數(shù)a的值；(2)若SKIPIF1<0的定義域為R，求實數(shù)a的取值范圍．13．已知函數(shù)SKIPIF1<0．(1)若SKIPIF1<0的定義域為R，求a的取值范圍；(2)若SKIPIF1<0的值域為R，求a的取值范圍；(3)若SKIPIF1<0在SKIPIF1<0上單調(diào)，求a的取值范圍．14．已知函數(shù)SKIPIF1<0(1)若其定義域是SKIPIF1<0，求實數(shù)SKIPIF1<0的取值范圍；(2)若其值域是SKIPIF1<0，求實數(shù)SKIPIF1<0的取值范圍.考點二函數(shù)性質(zhì)求參一、單選題1．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．SKIPIF1<02．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0是奇函數(shù)，函數(shù)SKIPIF1<0為偶函數(shù)，當SKIPIF1<0時，SKIPIF1<0，則下列選項不正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．設(shè)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，則SKIPIF1<0＝（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．設(shè)函數(shù)SKIPIF1<0的定義域為R，SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，當SKIPIF1<0時，SKIPIF1<0若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．設(shè)函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題6．已知函數(shù)SKIPIF1<0是SKIPIF1<0上的增函數(shù)，則實數(shù)SKIPIF1<0的值可以是（

）A．4 B．3 C．SKIPIF1<0 D．SKIPIF1<0三、填空題7．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實數(shù)SKIPIF1<0的取值范圍是________．8．若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實數(shù)SKIPIF1<0的取值范圍為________．9．函數(shù)SKIPIF1<0在SKIPIF1<0上為增函數(shù)，則SKIPIF1<0的取值范圍是__________．10．已知函數(shù)SKIPIF1<0與SKIPIF1<0在區(qū)間SKIPIF1<0上都是減函數(shù)，那么SKIPIF1<0__________.11．已知函數(shù)SKIPIF1<0是奇函數(shù)，則SKIPIF1<0_____．12．已知函數(shù)SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，則實數(shù)SKIPIF1<0______．13．若函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，則SKIPIF1<0________．14．已知函數(shù)SKIPIF1<0是偶函數(shù)，SKIPIF1<0，則SKIPIF1<0_______．15．關(guān)于SKIPIF1<0的函數(shù)SKIPIF1<0的最大值為SKIPIF1<0，最小值為SKIPIF1<0，且SKIPIF1<0，則實數(shù)SKIPIF1<0的值為____．16．若函數(shù)SKIPIF1<0；且SKIPIF1<0，則SKIPIF1<0______.四、解答題17．己知函數(shù)SKIPIF1<0．(1)若函數(shù)SKIPIF1<0的單減區(qū)間是SKIPIF1<0，求實數(shù)a的值；(2)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上是單減函數(shù)，求實數(shù)a的取值范圍．18．已知函數(shù)SKIPIF1<0，SKIPIF1<0．(1)若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，求實數(shù)a的取值范圍；(2)若函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，值域為SKIPIF1<0，求實數(shù)a的值．考點三基本初等函數(shù)求參一、單選題1．冪函數(shù)SKIPIF1<0在SKIPIF1<0上是減函數(shù)，則實數(shù)SKIPIF1<0值為（

）A．2 B．SKIPIF1<0 C．2或SKIPIF1<0 D．12．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上是減函數(shù)，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．若函數(shù)SKIPIF1<0在R上是單調(diào)增函數(shù)，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0是冪函數(shù)，直線SKIPIF1<0過點SKIPIF1<0，則SKIPIF1<0取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）有最大值，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9．若直線SKIPIF1<0與函數(shù)SKIPIF1<0，SKIPIF1<0且SKIPIF1<0的圖像有兩個公共點，則SKIPIF1<0的可能性取值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0為冪函數(shù)，則實數(shù)SKIPIF1<0的可能性取值為（

）A．1 B．-2 C．3 D．-411．函數(shù)SKIPIF1<0在SKIPIF1<0上不單調(diào)，則實數(shù)a的取值可能是（

）A．－1 B．0C．1 D．212．若不等式SKIPIF1