新高考數(shù)學(xué)二輪復(fù)習(xí)分層訓(xùn)練專題05 各類基本初等函數(shù)（二次函數(shù)、指對冪函數(shù)等）（原卷版）

答案第=page11頁，共=sectionpages22頁專題05各類基本初等函數(shù)【練基礎(chǔ)】一、單選題1．（2023·全國·高三專題練習(xí)）已知圖象開口向上的二次函數(shù)SKIPIF1<0，對任意SKIPIF1<0，都滿足SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則實數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2021·新疆·新源縣第二中學(xué)高三階段練習(xí)（理））已知函數(shù)SKIPIF1<0是SKIPIF1<0上的單調(diào)函數(shù)，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·重慶市萬州第二高級中學(xué)高二階段練習(xí)）已知冪函數(shù)SKIPIF1<0與SKIPIF1<0的部分圖象如圖所示，直線SKIPIF1<0，SKIPIF1<0與SKIPIF1<0，SKIPIF1<0的圖象分別交于A?B?C?D四點，且SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．24．（2022·寧夏·銀川市第六中學(xué)高三階段練習(xí)）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的大小關(guān)系為A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2021·黑龍江·佳木斯市第二中學(xué)高三階段練習(xí)（理））在SKIPIF1<0中，SKIPIF1<0，則SKIPIF1<0的形狀為（

）A．等腰三角形 B．直角三角形 C．等邊三角形 D．等腰直角三角形7．（2023·全國·高三專題練習(xí)）在同一直角坐標系中，函數(shù)SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0的圖象可能是（

）A． B．C． D．8．（2022·北京·高三專題練習(xí)）若不等式SKIPIF1<0在SKIPIF1<0內(nèi)恒成立，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題9．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）的圖象如下圖所示，則下列四個函數(shù)圖象與函數(shù)解析式對應(yīng)正確的是（

）A． B．C． D．10．（2021·重慶市清華中學(xué)校高三階段練習(xí)）已知SKIPIF1<0SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（2022·河北·安新縣第二中學(xué)高三階段練習(xí)）下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．（2020·全國·高三階段練習(xí)）設(shè)函數(shù)SKIPIF1<0，則（

）．A．SKIPIF1<0在SKIPIF1<0上單調(diào)遞增 B．SKIPIF1<0的最小值是2C．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱 D．SKIPIF1<0的圖象關(guān)于點SKIPIF1<0對稱三、填空題13．（2021·廣東·橫崗高中高三階段練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值是3，則SKIPIF1<0的取值范圍是______.14．（2021·寧夏·青銅峽市寧朔中學(xué)高三階段練習(xí)（理））函數(shù)y＝loga(2x－3)＋8的圖象恒過定點A，且點A在冪函數(shù)f(x)的圖象上，則f（3）＝________.15．（2022·河南·洛陽市第一高級中學(xué)高三階段練習(xí)（理））已知SKIPIF1<0為R上的奇函數(shù)，且SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0，則SKIPIF1<0的值為______．16．（2019·寧夏·銀川一中高三階段練習(xí)（文））函數(shù)SKIPIF1<0且SKIPIF1<0的圖象恒過定點SKIPIF1<0，若點SKIPIF1<0在直線SKIPIF1<0上，其中SKIPIF1<0，則SKIPIF1<0的最小值為_______．四、解答題17．（2022·寧夏·平羅中學(xué)高三階段練習(xí)（文））已知函數(shù)SKIPIF1<0．(1)求SKIPIF1<0在SKIPIF1<0上的值域；(2)解不等式SKIPIF1<0；18．（2022·天津市建華中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0.（1）若SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，求a的取值范圍；（2）解關(guān)于x的不等式SKIPIF1<0.19．（2022·陜西·渭南市瑞泉中學(xué)高三階段練習(xí)（文））已知函數(shù)SKIPIF1<0的定義域是SKIPIF1<0.（1）求實數(shù)SKIPIF1<0的取值范圍;（2）解關(guān)于SKIPIF1<0的不等式SKIPIF1<0.20．（2020·江蘇·揚州市邗江區(qū)第一中學(xué)高三階段練習(xí)）設(shè)函數(shù)SKIPIF1<0．(1)若函數(shù)SKIPIF1<0的圖象關(guān)于原點對稱，求函數(shù)SKIPIF1<0的零點SKIPIF1<0；(2)若函數(shù)SKIPIF1<0在SKIPIF1<0，SKIPIF1<0的最大值為SKIPIF1<0，求實數(shù)SKIPIF1<0的值．21．（2022·安徽省懷寧縣第二中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0(1)當SKIPIF1<0時，求函數(shù)SKIPIF1<0在SKIPIF1<0的值域(2)若關(guān)于x的方程SKIPIF1<0有解，求a的取值范圍．22．（2021·陜西·西安市長安區(qū)第七中學(xué)高三階段練習(xí)（文））已知函數(shù)SKIPIF1<0（SKIPIF1<0為常數(shù)）是奇函數(shù).（1）求SKIPIF1<0的值與函數(shù)SKIPIF1<0的定義域.（2）若當SKIPIF1<0時，SKIPIF1<0恒成立.求實數(shù)SKIPIF1<0的取值范圍.【提能力】一、單選題1．（2022·山西·平遙縣第二中學(xué)校高三階段練習(xí)）已知SKIPIF1<0，則SKIPIF1<0的大小關(guān)系為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2020·四川·仁壽一中高三階段練習(xí)（理））已知函數(shù)SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·湖南省臨澧縣第一中學(xué)高三階段練習(xí)）已知函數(shù)SKIPIF1<0若SKIPIF1<0的最小值為SKIPIF1<0，則實數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·陜西·西北工業(yè)大學(xué)附屬中學(xué)高三階段練習(xí)（文））已知實數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有三個不同的實數(shù)，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2021·北京市第一六一中學(xué)高三階段練習(xí)）若直線SKIPIF1<0與函數(shù)SKIPIF1<0（SKIPIF1<0，且SKIPIF1<0）的圖象有兩個公共點，則SKIPIF1<0的取值可以是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．2 D．46．（2022·福建·莆田一中高一階段練習(xí)）若對SKIPIF1<0，函數(shù)SKIPIF1<0始終滿足SKIPIF1<0，則函數(shù)SKIPIF1<0的圖象大致為（

）A． B．C． D．7．（2022·廣東·佛山市三水區(qū)實驗中學(xué)高一階段練習(xí)）已知函數(shù)SKIPIF1<0的圖象經(jīng)過定點SKIPIF1<0，那么使得不等式SKIPIF1<0在區(qū)間SKIPIF1<0上有解的SKIPIF1<0取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2021·吉林長春·高三階段練習(xí)（理））已知函數(shù)f(x)＝lg(x2－2x－3)在(－∞，a)單調(diào)遞減，則a的取值范圍是（

）A．(－∞，－1] B．(－∞，2] C．[5，＋∞) D．[3，＋∞)二、多選題9．（2022·廣東中山·高三期末）已知函數(shù)SKIPIF1<0，則下列說法正確的是（

）A．函數(shù)SKIPIF1<0是偶函數(shù) B．函數(shù)SKIPIF1<0是奇函數(shù)C．函數(shù)SKIPIF1<0在SKIPIF1<0上為增函數(shù) D．函數(shù)SKIPIF1<0的值域為SKIPIF1<010．（2022·遼寧·大連佰圣高級中學(xué)有限公司高三期中）下列不等關(guān)系中一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<011．（2022·全國·高三專題練習(xí)）已知實數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，則下列不等式恒成立的是（

）A．SKIPIF1<0B．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0C．SKIPIF1<0D．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<012．（2022·江蘇·南京市第五高級中學(xué)模擬預(yù)測）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0為偶函數(shù)B．函數(shù)SKIPIF1<0為奇函數(shù)C．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值與最小值之和為0D．設(shè)SKIPIF1<0，則SKIPIF1<0的解集為SKIPIF1<0三、填空題13．（2023·上?！じ呷龑ｎ}練習(xí)）關(guān)于的函數(shù)SKIPIF1<0的最大值記為SKIPIF1<0，則SKIPIF1<0的解析式為__________.14．（2023·全國·高三專題練習(xí)）函數(shù)SKIPIF1<0圖象過定點SKIPIF1<0，點SKIPIF1<0在直線SKIPIF1<0上，則SKIPIF1<0最小值為___________.15．（2021·四川·內(nèi)江市教育科學(xué)研究所一模（理））已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0存在2個零點，則實數(shù)m的取值范圍是______．16．（2022·全國·高三專題練習(xí)）設(shè)函數(shù)SKIPIF1<0，則SKIPIF1<0_____.四、解答題17．（2022·山東·寧陽縣第四中學(xué)高三階段練習(xí)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有最大值4和最小值1，設(shè)SKIPIF1<0．(1)求a、b的值；(2)若不等式SKIPIF1<0在SKIPIF1<0上有解，求實數(shù)k的取值范圍；18．（2022·福建·廈門外國語學(xué)校高三階段練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0.（1）判斷SKIPIF1<0的奇偶性和單調(diào)性；（2）若對任意SKIPIF1<0，存在SKIPIF1<0，使得SKIPIF1<0