新高考數(shù)學(xué)一輪復(fù)習(xí)提升訓(xùn)練3.5 冪函數(shù)與一元二次函數(shù)（精練）（原卷版）

3.5冪函數(shù)與一元二次函數(shù)（精練）（提升版）題組一題組一冪函數(shù)及總值1．（2022·全國·高三專題練習(xí)）已知冪函數(shù)y＝f(x)經(jīng)過點(diǎn)(3，SKIPIF1<0)，則f(x)（

）A．是偶函數(shù)，且在(0，＋∞)上是增函數(shù)B．是偶函數(shù)，且在(0，＋∞)上是減函數(shù)C．是奇函數(shù)，且在(0，＋∞)上是減函數(shù)D．是非奇非偶函數(shù)，且在(0，＋∞)上是增函數(shù)2．（2022·全國·高三專題練習(xí)）設(shè)SKIPIF1<0則“SKIPIF1<0的圖象經(jīng)過SKIPIF1<0”是“SKIPIF1<0為奇函數(shù)”的（

）A．充分不必要件 B．必要不充分條件C．充要條件 D．既不充分也不必要條件3．（2022·全國·高三專題練習(xí)）下列命題中，不正確的是（

）A．冪函數(shù)y=x-1是奇函數(shù)B．冪函數(shù)y=x2是偶函數(shù)C．冪函數(shù)y=x既是奇函數(shù)又是偶函數(shù)D．y=SKIPIF1<0既不是奇函數(shù)，又不是偶函數(shù)4．（2022·上海市實(shí)驗(yàn)學(xué)校高三階段練習(xí)）若函數(shù)SKIPIF1<0是冪函數(shù)，且其圖象過點(diǎn)SKIPIF1<0，則函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為___________.5．（2022·全國·高三專題練習(xí)）設(shè)SKIPIF1<0，若SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0取值的集合是_____.6．（2022·全國·高三專題練習(xí)）冪函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上是增函數(shù)，求實(shí)數(shù)SKIPIF1<0的取值集合．題組二題組二一元二次函數(shù)1．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0在R上為減函數(shù)，則實(shí)數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·江西上饒·高三階段練習(xí)（理））函數(shù)SKIPIF1<0在區(qū)間（－∞，2）上單調(diào)遞增，則實(shí)數(shù)a的取值范圍（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·浙江·高三學(xué)業(yè)考試）已知函數(shù)SKIPIF1<0在區(qū)間（-∞，1]是減函數(shù)，則實(shí)數(shù)a的取值范圍是（

）A．[1，+∞） B．（-∞，1] C．[-1，+∞） D．（-∞，-1]4．（2022·全國·高三專題練習(xí)）二次函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減的一個(gè)充分不必要條件為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·河北·石家莊二中模擬預(yù)測）設(shè)SKIPIF1<0，函數(shù)SKIPIF1<0，若SKIPIF1<0的最小值為SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06（2022·北京·二模）若函數(shù)SKIPIF1<0的定義域和值域的交集為空集，則正數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2021·江西·臨川一中高三階段練習(xí)（文））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．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2022·天津·高三專題練習(xí)）已知函數(shù)SKIPIF1<0在定義域SKIPIF1<0上的值域?yàn)镾KIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍為____.9．（2022·浙江·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，若SKIPIF1<0對任意的SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是___________.10．（2022·江蘇·高三專題練習(xí)）設(shè)函數(shù)SKIPIF1<0，若對于SKIPIF1<0，SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍為___________.11．（2022·北京房山·二模）已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0在SKIPIF1<0上不是增函數(shù)，則a的一個(gè)取值為___________.12．（2021·全國·高三專題練習(xí)）（多選）關(guān)于x的一元二次不等式x2-6x+a≤0(a∈Z)的解集中有且僅有3個(gè)整數(shù)，則a的取值可以是（）A．6 B．7 C．8 D．9題組三題組三一元二次函數(shù)與其他知識綜合1．（2022·北京·人大附中高三開學(xué)考試）已知二次函數(shù)SKIPIF1<0的值域?yàn)镾KIPIF1<0，則SKIPIF1<0的最小值為（

）A．4 B．6 C．8 D．102．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0在SKIPIF1<0上為單調(diào)遞增函數(shù)，則實(shí)數(shù)m的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·北京昌平·二模）已知函數(shù)SKIPIF1<0，則關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，若關(guān)于x的方程SKIPIF1<0有5個(gè)不同的實(shí)根，則實(shí)數(shù)k的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·全國·高三專題練習(xí)）已知正實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，則當(dāng)SKIPIF1<0與SKIPIF1<0同時(shí)取得最大值時(shí)，SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022·重慶·三模）已知SKIPIF1<0且SKIPIF1<0，“函數(shù)SKIPIF1<0為增函數(shù)”是“函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增”的（

）A．充分不必要條件 B．必要不充分條件C．充要條件 D．既不充分也不必要條件6．（2022·安徽·壽縣第一中學(xué)高三階段練習(xí)（理））若SKIPIF1<0為定義在SKIPIF1<0上的偶函數(shù)，且在SKIPIF1<0上單調(diào)遞減，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2022·河北石家莊·高三期末）已知實(shí)數(shù)a，b滿足SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．-2 B．0 C．1 D．28．（2022·全國·高三專題練習(xí)（理））關(guān)于x的不等式SKIPIF1<0，解集為___________.9．（2022·全國·高三專題練習(xí)）不等式SKIPIF1<0的解集為：_________．題組四題組四圖像問題1．（2022屆高三普通高等學(xué)校招生全國統(tǒng)一考試數(shù)學(xué)押題卷（一））函數(shù)SKIPIF1<0的圖象大致為（

）A． B．C． D．2．（2022年高考最后一卷（押題卷八）數(shù)學(xué)試題）函數(shù)SKIPIF1<0的大致圖象是（

）A． B．C． D．3．（2022屆高三下學(xué)期臨考沖刺原創(chuàng)卷（二）數(shù)學(xué)試題）已知函數(shù)SKIPIF1<0則函數(shù)SKIPIF1<0的大致圖象為（

）A． B．C． D．4．（2022屆高三下學(xué)期臨考沖刺原創(chuàng)卷（六）數(shù)學(xué)試題）函數(shù)SKIPIF1<0的圖象大致是(

)A． B．C． D．5．（天津市南開區(qū)2022屆高三下學(xué)期二模數(shù)學(xué)試題）函數(shù)SKIPIF1<0的圖象大致為（

）A． B．C． D．6．（安徽省合肥市