新高考數(shù)學(xué)二輪復(fù)習(xí)分層訓(xùn)練專題04 函數(shù)及其性質(zhì)（原卷版）

答案第=page11頁，共=sectionpages22頁解密04講：函數(shù)及其性質(zhì)【練基礎(chǔ)】一、單選題1．（2018·全國·高三課時練習(xí)（文））已知集合SKIPIF1<0，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．（2022·全國·高三專題練習(xí)）函數(shù)SKIPIF1<0的值域是SKIPIF1<0

SKIPIF1<0A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2020·全國·高三課時練習(xí)（理））已知SKIPIF1<0是定義在R上的奇函數(shù)，當(dāng)SKIPIF1<0時SKIPIF1<0(m為常數(shù))，則SKIPIF1<0的值為(

)A．4 B．6 C．SKIPIF1<0 D．SKIPIF1<04．（2021·全國·高三專題練習(xí)（理））設(shè)函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，滿足SKIPIF1<0，且當(dāng)SKIPIF1<0時，SKIPIF1<0，若對任意SKIPIF1<0，都有SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2019·天津·高考真題（文））已知函數(shù)，若關(guān)于SKIPIF1<0的方程SKIPIF1<0恰有兩個互異的實數(shù)解，則SKIPIF1<0的取值范圍為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022·四川省仁壽縣文宮中學(xué)高三開學(xué)考試（理））若函數(shù)SKIPIF1<0在R上單調(diào)遞增，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2019·全國·高考真題（理））函數(shù)SKIPIF1<0在SKIPIF1<0的圖像大致為（）A． B．C． D．8．（2022·河南·南陽中學(xué)模擬預(yù)測（文））已知定義域為SKIPIF1<0的函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0，則下列結(jié)論一定正確的是（

）A．SKIPIF1<0 B．函數(shù)SKIPIF1<0的圖象關(guān)于點SKIPIF1<0對稱C．函數(shù)SKIPIF1<0是奇函數(shù) D．SKIPIF1<0二、多選題9．（2022·全國·高三專題練習(xí)）已知偶函數(shù)SKIPIF1<0滿足：SKIPIF1<0，且當(dāng)0≤x≤2時，SKIPIF1<0，則下列說法正確的是（

）A．－2≤x≤0時，SKIPIF1<0B．點（1，0）是f(x)圖象的一個對稱中心C．f(x)在區(qū)間[－10，10]上有10個零點D．對任意SKIPIF1<0，都有SKIPIF1<010．（2021·福建·寧化濱江實驗中學(xué)高三期中）下列函數(shù)中是偶函數(shù)，且在區(qū)間SKIPIF1<0上單調(diào)遞增的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0是定義在R上的偶函數(shù)，且對任意SKIPIF1<0，有SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0，則（

）A．SKIPIF1<0是以2為周期的周期函數(shù)B．點SKIPIF1<0是函數(shù)SKIPIF1<0的一個對稱中心C．SKIPIF1<0D．函數(shù)SKIPIF1<0有3個零點12．（2020·全國·模擬預(yù)測）設(shè)函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，滿足SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0，則下列說法正確的是（

）A．4是函數(shù)SKIPIF1<0的周期B．當(dāng)SKIPIF1<0時，SKIPIF1<0C．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱D．函數(shù)SKIPIF1<0的圖象關(guān)于點SKIPIF1<0對稱三、填空題13．（2007·重慶·高考真題（理））若函數(shù)f(x)=SKIPIF1<0的定義域為R，則SKIPIF1<0的取值范圍為_______.14．（2021·廣東·高州一中高三階段練習(xí)）已知y=f(x)的圖象關(guān)于坐標(biāo)原點對稱，且對任意的x∈R，f(x+2)=f(-x)恒成立，當(dāng)SKIPIF1<0時，f(x)=2x，則f(2021)=_____________.15．（2021·全國·高三專題練習(xí)）已知f（x）是定義域為R的偶函數(shù)，且在區(qū)間（-∞，0]上單調(diào)遞增，則不等式，f（3x-1）＞f（2）的解集是________．16．（2022·全國·高三專題練習(xí)（文））若“SKIPIF1<0，使得SKIPIF1<0成立”是假命題，則實數(shù)SKIPIF1<0的取值范圍為___________.四、解答題17．（2019·全國·高三專題練習(xí)（文））設(shè)SKIPIF1<0，且SKIPIF1<0.（1）求實數(shù)SKIPIF1<0的值及函數(shù)SKIPIF1<0的定義域；（2）求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最小值.18．（2022·全國·高三專題練習(xí)（理））已知函數(shù)SKIPIF1<0定義在SKIPIF1<0上有SKIPIF1<0恒成立，且當(dāng)SKIPIF1<0時，SKIPIF1<0.（1）求SKIPIF1<0的值及函數(shù)SKIPIF1<0的解析式；（2）求函數(shù)SKIPIF1<0的值域.19．（2022·廣東·小欖中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0是奇函數(shù)．(1)求SKIPIF1<0的值；(2)已知SKIPIF1<0，求SKIPIF1<0的取值范圍．20．（2022·河南·濮陽南樂一高高三階段練習(xí)（文））已知函數(shù)SKIPIF1<0是偶函數(shù).當(dāng)SKIPIF1<0時，SKIPIF1<0.(1)求函數(shù)SKIPIF1<0在SKIPIF1<0上的解析式；(2)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)，求實數(shù)a的取值范圍；(3)已知SKIPIF1<0，試討論SKIPIF1<0的零點個數(shù)，并求對應(yīng)的m的取值范圍.21．（2022·陜西·漢中市龍崗學(xué)校高三階段練習(xí)（文））設(shè)函數(shù)SKIPIF1<0．(1)求不等式SKIPIF1<0的解集；(2)若SKIPIF1<0的最大值為m，實數(shù)a，b滿足SKIPIF1<0，求SKIPIF1<0的最小值．22．（2022·福建省漳州市第八中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且它的圖象關(guān)于直線SKIPIF1<0對稱.(1)求證：SKIPIF1<0是周期為4的周期函數(shù)；(2)若SKIPIF1<0，求SKIPIF1<0時，函數(shù)SKIPIF1<0的解析式.【提能力】一、單選題1．（2022·天津市建華中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2017·河北定州中學(xué)高三階段練習(xí)）若函數(shù)SKIPIF1<0的值域為SKIPIF1<0，則SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·湖北·南漳縣第二中學(xué)高三階段練習(xí)）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．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·天津市濱海新區(qū)塘沽第一中學(xué)高三階段練習(xí)）已知奇函數(shù)SKIPIF1<0，且SKIPIF1<0在SKIPIF1<0上是增函數(shù).若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則a，b，c的大小關(guān)系為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·天津市第四中學(xué)高三階段練習(xí)）函數(shù)SKIPIF1<0的圖像為（

）A． B．C． D．6．（2020·山西省新絳中學(xué)校高三階段練習(xí)（文））已知定義在R上的函數(shù)SKIPIF1<0為偶函數(shù),記SKIPIF1<0SKIPIF1<0,則SKIPIF1<0,的大小關(guān)系為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2022·河北·安新縣第二中學(xué)高三階段練習(xí)）函數(shù)SKIPIF1<0對任意SKIPIF1<0，都有SKIPIF1<0的圖形關(guān)于SKIPIF1<0對稱，且SKIPIF1<0

則SKIPIF1<0（

）A．-1 B．1 C．0 D．28．（2021·四川·眉山市彭山區(qū)第一中學(xué)高三階段練習(xí)（理））已知定義在R上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0為偶函數(shù)，若SKIPIF1<0在SKIPIF1<0內(nèi)單調(diào)遞減，則下面結(jié)論正確的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題9．（2022·山東·汶上圣澤中學(xué)高三階段練習(xí)）下列說法正確的是（

）A．若SKIPIF1<0的定義域為SKIPIF1<0，則SKIPIF1<0的定義域為SKIPIF1<0B．函數(shù)SKIPIF1<0的值域為SKIPIF1<0C．函數(shù)SKIPIF1<0的值域為SKIPIF1<0D．函數(shù)SKIPIF1<0在SKIPIF1<0上的值域為SKIPIF1<010．（2022·山東省泰安英雄山中學(xué)高三階段練習(xí)）已知定義在R上的奇函數(shù)SKIPIF1<0對SKIPIF1<0都有SKIPIF1<0，則下列判斷正確的是（

）A．SKIPIF1<0是周期函數(shù)且周期為4 B．SKIPIF1<0關(guān)于點SKIPIF1<0對稱C．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱 D．SKIPIF1<0在SKIPIF1<0上至少有5個零點11．（2021·江蘇·無錫市第六高級中學(xué)高三階段練習(xí)）高斯是德國著名的數(shù)學(xué)家，近代數(shù)學(xué)奠基者之一，享有“數(shù)學(xué)王子”的稱號，他和阿基米德、牛頓并列為世界三大數(shù)學(xué)家，用其名字命名的“高斯函數(shù)”為：設(shè)SKIPIF1<0，用SKIPIF1<0表示不超過SKIPIF1<0的最大整數(shù)，則SKIPIF1<0稱為高斯函數(shù)，例如：SKIPIF1<0，SKIPIF1<0．已知函數(shù)SKIPIF1<0，則關(guān)于函數(shù)SKIPIF1<0的敘述中正確的是（

）A．SKIPIF1<0是偶函數(shù) B．SKIPIF1<0是奇函數(shù)C．SKIPIF1<0在SKIPIF1<0上是增函數(shù) D．SKIPIF1<0的值域是SKIPIF1<012．（2022·江蘇·南京市秦淮中學(xué)高三階段練習(xí)）函數(shù)SKIPIF1<0對SKIPIF1<0恒成立，則SKIPIF1<0的取值可能是（

）A．0 B．2 C．1 D．3三、填空題13．（2019·江蘇·南通一中高三階段練習(xí)）設(shè)奇函數(shù)f(x)在(0，＋∞)上為增函數(shù)，且f(1)＝0，則不等式SKIPIF1<0<0的解集為________.14．（2022·陜西·武功縣普集高級中學(xué)高三階段練習(xí)（理））設(shè)函數(shù)SKIPIF1<0若SKIPIF1<0存在最小值，a的取值范圍___________.15．（2021·河北省博野中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，若對任意SKIPIF1<0，存在SKIPIF1<0，滿足SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍為______．16．（2014·安徽·高考真題（文））若函數(shù)SKIPIF1<0是周期為4的奇函數(shù)，且在SKIPIF1<0上的解析式為SKIPIF1<0，則SKIPIF1<0___________四、解答題17．（2021·黑龍江·哈師大附中高三階段練習(xí)（文））SKIPIF1<0.（Ⅰ）解不等式：SKIPIF1<0；（Ⅱ）SKIPIF1<0最大值為SKIPIF1<0，不等式SKIPIF1<0在SKIPIF1<0上恒成立，求實數(shù)SKIPIF1<0的取值范圍.18．（2022·河南·鄭州勵德雙語學(xué)校高三階段練習(xí)（文））設(shè)SKIPIF1<0是定義在R上的奇函數(shù)，且對任意實數(shù)x，恒有SKIPIF1<0．當(dāng)SKIPIF1<0時，SKIPIF1<0．(1)求證：SKIPIF1<0是周期函數(shù)；(2)計算：SKIPIF1<0．19．（2022·陜西·漢陰縣漢陰中學(xué)高三階段練習(xí)（理））已知SKIPI