新高考數(shù)學(xué)一輪復(fù)習(xí)第2章 第04講 冪函數(shù)與二次函數(shù) 精講+精練（學(xué)生版）

第04講冪函數(shù)與二次函數(shù)(精講+精練）目錄第一部分：知識(shí)點(diǎn)精準(zhǔn)記憶第二部分：課前自我評(píng)估測(cè)試第三部分：典型例題剖析高頻考點(diǎn)一：冪函數(shù)的定義①求冪函數(shù)的值②求冪函數(shù)的解析式③由冪函數(shù)求參數(shù)高頻考點(diǎn)二：冪函數(shù)的值域高頻考點(diǎn)三：冪函數(shù)圖象①判斷冪函數(shù)圖象②冪函數(shù)圖象過(guò)定點(diǎn)問(wèn)題高頻考點(diǎn)四：冪函數(shù)單調(diào)性①判斷冪函數(shù)的單調(diào)性②由冪函數(shù)單調(diào)性求參數(shù)③由冪函數(shù)單調(diào)性解不等式高頻考點(diǎn)五：冪函數(shù)的奇偶性高頻考點(diǎn)六：二次函數(shù)①二次函數(shù)值域問(wèn)題;②求二次函數(shù)解析式③由二次函數(shù)單調(diào)性（區(qū)間）求參數(shù)④根據(jù)二次函數(shù)最值（值域）求參數(shù)⑤動(dòng)軸定范圍，定軸動(dòng)范圍的最值問(wèn)題第四部分：高考真題感悟第五部分：第04講冪函數(shù)與二次函數(shù)（精練）第一部分：知識(shí)點(diǎn)精準(zhǔn)記憶第一部分：知識(shí)點(diǎn)精準(zhǔn)記憶1、冪函數(shù)（1）冪函數(shù)定義一般地，形如SKIPIF1<0的函數(shù)稱為冪函數(shù)，其中SKIPIF1<0是自變量，SKIPIF1<0是常數(shù)．（2）五種常見冪函數(shù)函數(shù)SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0圖象性質(zhì)定義域SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0值域SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0奇偶性奇函數(shù)偶函數(shù)奇函數(shù)非奇非偶函數(shù)奇函數(shù)單調(diào)性在SKIPIF1<0上單調(diào)遞增在SKIPIF1<0上單調(diào)遞減；在SKIPIF1<0上單調(diào)遞增在SKIPIF1<0上單調(diào)遞增在SKIPIF1<0上單調(diào)遞增在SKIPIF1<0和SKIPIF1<0上單調(diào)遞減公共點(diǎn)SKIPIF1<0（3）冪函數(shù)性質(zhì)（高頻考點(diǎn)）冪函數(shù)SKIPIF1<0，在SKIPIF1<0①當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0在SKIPIF1<0單調(diào)遞增；②當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0在SKIPIF1<0單調(diào)遞減；2、二次函數(shù)形如SKIPIF1<0的函數(shù)叫做二次函數(shù).第二部分：課前自我評(píng)估測(cè)試第二部分：課前自我評(píng)估測(cè)試一、判斷題1．（2021·全國(guó)·高一課時(shí)練習(xí)）若SKIPIF1<0，則SKIPIF1<0．()2．（2021·全國(guó)·高一課時(shí)練習(xí)）若SKIPIF1<0，則SKIPIF1<0．()二、單選題1．（2022·陜西·武功縣普集高級(jí)中學(xué)高一期末）若函數(shù)SKIPIF1<0在SKIPIF1<0上是增函數(shù)，則實(shí)數(shù)k的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2022·天津市第九十五中學(xué)益中學(xué)校高一期末）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·云南玉溪·高一期末）冪函數(shù)SKIPIF1<0SKIPIF1<0的圖象關(guān)于SKIPIF1<0軸對(duì)稱，且在SKIPIF1<0上是增函數(shù)，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0和SKIPIF1<04．（2022·全國(guó)·高一階段練習(xí)）已知冪函數(shù)SKIPIF1<0的圖象經(jīng)過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0的值等于（

）A．SKIPIF1<0 B．4 C．8 D．SKIPIF1<05．（2022·全國(guó)·高一階段練習(xí)）已知函數(shù)SKIPIF1<0是冪函數(shù)，且在SKIPIF1<0上遞增，則實(shí)數(shù)SKIPIF1<0（

）A．－1 B．－1或3 C．3 D．2第三部分：典型例題剖析第三部分：典型例題剖析高頻考點(diǎn)一：冪函數(shù)的定義①求冪函數(shù)的值1．（2022·全國(guó)·高一階段練習(xí)）已知冪函數(shù)SKIPIF1<0的圖象經(jīng)過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0的值等于（

）A．SKIPIF1<0 B．4 C．8 D．SKIPIF1<02．（2022·甘肅·甘南藏族自治州合作第一中學(xué)高一期末）冪函數(shù)SKIPIF1<0的圖象經(jīng)過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0=____.3．（2022·新疆·烏市一中高一期末）已知冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0________②求冪函數(shù)的解析式1．（2022·上海市控江中學(xué)高一期末）若冪函數(shù)SKIPIF1<0是嚴(yán)格增函數(shù)，則實(shí)數(shù)SKIPIF1<0______.2．（2022·北京·高一期末）冪函數(shù)SKIPIF1<0的圖象恒過(guò)點(diǎn)_________，若冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則此函數(shù)的解析式是____________．3．（2022·遼寧遼陽(yáng)·高一期末）已知冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0______，SKIPIF1<0的解集為______.③由冪函數(shù)求參數(shù)1．（2022·河南新鄉(xiāng)·高一期末）已知冪函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則SKIPIF1<0（

）A．2 B．16 C．SKIPIF1<0 D．SKIPIF1<02．（2022·貴州畢節(jié)·高一期末）若冪函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0（

）A．1 B．6 C．2 D．SKIPIF1<03．（2022·河北·邢臺(tái)市第二中學(xué)高一開學(xué)考試）冪函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0______．高頻考點(diǎn)二：冪函數(shù)的值域1．（2022·北京房山·高一期末）下列函數(shù)中，值域是SKIPIF1<0的冪函數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(xí)（理））已知冪函數(shù)SKIPIF1<0的圖像過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0的值域是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·黑龍江·哈爾濱市第一六二中學(xué)校高一期末）下列函數(shù)是偶函數(shù)且值域?yàn)镾KIPIF1<0的是（

）①SKIPIF1<0；②SKIPIF1<0；③SKIPIF1<0；④SKIPIF1<0.A．①② B．②③ C．①④ D．③④4．（2022·廣東·廣州六中高一期末）冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則函數(shù)SKIPIF1<0的值域是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2021·河北·石家莊市第九中學(xué)高一期中）若冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則SKIPIF1<0的值域?yàn)開___________．高頻考點(diǎn)三：冪函數(shù)圖象①判斷冪函數(shù)圖象1．（2022·四川涼山·高一期末）如圖，①②③④對(duì)應(yīng)四個(gè)冪函數(shù)的圖像，其中①對(duì)應(yīng)的冪函數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高一）圖中C1、C2、C3為三個(gè)冪函數(shù)SKIPIF1<0在第一象限內(nèi)的圖象，則解析式中指數(shù)SKIPIF1<0的值依次可以是（）A．SKIPIF1<0、SKIPIF1<0、SKIPIF1<0 B．SKIPIF1<0、SKIPIF1<0、SKIPIF1<0 C．SKIPIF1<0、SKIPIF1<0、SKIPIF1<0 D．SKIPIF1<0、SKIPIF1<0、SKIPIF1<03．（2022·湖南·高一課時(shí)練習(xí)）結(jié)合圖中的五個(gè)函數(shù)圖象回答問(wèn)題：(1)哪幾個(gè)是偶函數(shù)，哪幾個(gè)是奇函數(shù)？(2)寫出每個(gè)函數(shù)的定義域、值域；(3)寫出每個(gè)函數(shù)的單調(diào)區(qū)間；(4)從圖中你發(fā)現(xiàn)了什么？②冪函數(shù)圖象過(guò)定點(diǎn)問(wèn)題1．（2022·北京·高三專題練習(xí)）已知函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）的圖象恒過(guò)定點(diǎn)SKIPIF1<0，則點(diǎn)SKIPIF1<0的坐標(biāo)為____________.2．（2021·全國(guó)·高一專題練習(xí)）函數(shù)SKIPIF1<0恒過(guò)定點(diǎn)______．3．（2021·全國(guó)·高一課時(shí)練習(xí)）函數(shù)SKIPIF1<0的圖象過(guò)定點(diǎn)________．4．（2021·上?！じ咭粚ｎ}練習(xí)）冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，則函數(shù)SKIPIF1<0的圖象經(jīng)過(guò)定點(diǎn)__________．5．（2021·全國(guó)·高一課時(shí)練習(xí)）若SKIPIF1<0，函數(shù)SKIPIF1<0的圖象恒過(guò)定點(diǎn)SKIPIF1<0，則點(diǎn)SKIPIF1<0的坐標(biāo)為______．高頻考點(diǎn)四：冪函數(shù)單調(diào)性①判斷冪函數(shù)的單調(diào)性1．（2022·全國(guó)·東北師大附中模擬預(yù)測(cè)（文））下列函數(shù)是偶函數(shù)，且在區(qū)間SKIPIF1<0上為增函數(shù)的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·河南開封·高一期末）已知函數(shù)SKIPIF1<0冪函數(shù)，且在其定義域內(nèi)為單調(diào)函數(shù)，則實(shí)數(shù)SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<03．（多選）（2022·新疆巴音郭楞·高一期末）下列函數(shù)中，既是偶函數(shù)又在SKIPIF1<0單調(diào)遞增的函數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國(guó)·池州市第一中學(xué)高一開學(xué)考試）已知冪函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)是單調(diào)遞減函數(shù)，則實(shí)數(shù)SKIPIF1<0______．5．（2022·上海市第三女子中學(xué)高一期末）已知冪函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0軸對(duì)稱，且在區(qū)間SKIPIF1<0上是嚴(yán)格增函數(shù)．(1)求SKIPIF1<0的值；(2)求滿足不等式SKIPIF1<0的實(shí)數(shù)SKIPIF1<0的取值范圍．②由冪函數(shù)單調(diào)性求參數(shù)1．（2022·遼寧朝陽(yáng)·高一開學(xué)考試）已知冪函數(shù)SKIPIF1<0在SKIPIF1<0上是減函數(shù)，則SKIPIF1<0的值為（

）A．3 B．SKIPIF1<0 C．1 D．SKIPIF1<02．（2022·江蘇省天一中學(xué)高一期末）“SKIPIF1<0”是“冪函數(shù)SKIPIF1<0在SKIPIF1<0上是減函數(shù)”的一個(gè)（

）條件A．充分不必要 B．必要不充分 C．充要 D．既不充分也不必要3．（2022·廣西百色·高一期末）已知冪函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則m的值為（

）A．0 B．1 C．0或1 D．SKIPIF1<04．（2022·河南平頂山·高一期末）已知冪函數(shù)SKIPIF1<0在其定義域上是增函數(shù)，則實(shí)數(shù)SKIPIF1<0___________．5．（2022·安徽·安慶市教育教學(xué)研究室高一期末）已知冪函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)SKIPIF1<0__________．③由冪函數(shù)單調(diào)性解不等式1．（2022·全國(guó)·高三專題練習(xí)）“SKIPIF1<0”是“SKIPIF1<0”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2．（2022·北京·高三專題練習(xí)）若SKIPIF1<0，則實(shí)數(shù)m的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·全國(guó)·高三專題練習(xí)）已知冪函數(shù)SKIPIF1<0的圖象過(guò)點(diǎn)SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·重慶巫山·高一期末）若冪函數(shù)SKIPIF1<0過(guò)點(diǎn)SKIPIF1<0，則滿足不等式SKIPIF1<0的實(shí)數(shù)SKIPIF1<0的取值范圍是______5．（2022·湖北武漢·高一期末）已知冪函數(shù)SKIPIF1<0為奇函數(shù)．(1)求SKIPIF1<0的值；(2)若SKIPIF1<0，求代數(shù)式SKIPIF1<0的最小值．6．（2022·全國(guó)·高一）已知冪函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0軸對(duì)稱，且在SKIPIF1<0上是減函數(shù).（1）求SKIPIF1<0和SKIPIF1<0的值；（2）求滿足SKIPIF1<0的SKIPIF1<0的取值范圍.高頻考點(diǎn)五：冪函數(shù)的奇偶性1．（2022·遼寧·育明高中高一期末）下列函數(shù)中，值域是SKIPIF1<0且為偶函數(shù)的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·四川雅安·高一期末）已知冪函數(shù)SKIPIF1<0為偶函數(shù)，則實(shí)數(shù)SKIPIF1<0的值為（

）A．3 B．2 C．1 D．1或23．（多選）（2022·廣西欽州·高一期末）若函數(shù)SKIPIF1<0是冪函數(shù)且為奇函數(shù)，則SKIPIF1<0的值為（

）A．1 B．2 C．3 D．44．（2022·黑龍江綏化·高一期末）已知冪函數(shù)f(x)是奇函數(shù)且在SKIPIF1<0上是減函數(shù)，請(qǐng)寫出f(x)的一個(gè)表達(dá)式________．5．（2022·四川·寧南中學(xué)高一開學(xué)考試）已知冪函數(shù)SKIPIF1<0的圖像關(guān)于y軸對(duì)稱，且在區(qū)間SKIPIF1<0內(nèi)是減函數(shù)，則SKIPIF1<0的解析式為________．高頻考點(diǎn)六：二次函數(shù)①二次函數(shù)值域問(wèn)題1．（多選）（2022·浙江省樂清中學(xué)高一開學(xué)考試）設(shè)函數(shù)SKIPIF1<0，SKIPIF1<0，若存在SKIPIF1<0，SKIPIF1<0，使SKIPIF1<0，則SKIPIF1<0的可能取值是（

）A．0 B．1 C．SKIPIF1<0 D．22．（2022·廣西南寧·高一期末）已知函數(shù)SKIPIF1<0．則函數(shù)的最大值和最小值之積為______3．（2022·貴州貴陽(yáng)·高一期末）已知函數(shù)SKIPIF1<0，若SKIPIF1<0，使得SKIPIF1<0，則實(shí)數(shù)a的取值范圍是___________.4．（2022·湖南·高一課時(shí)練習(xí)）求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值和最小值．②求二次函數(shù)解析式1．（2022·河南安陽(yáng)·高一期末（文））已知二次函數(shù)SKIPIF1<0，滿足SKIPIF1<0，SKIPIF1<0.(1)求函數(shù)SKIPIF1<0的解析式；(2)求SKIPIF1<0在區(qū)間SKIPIF1<0上的值域.2．（2022·湖南·高一課時(shí)練習(xí)）已知二次函數(shù)SKIPIF1<0有最小值SKIPIF1<0，且函數(shù)的零點(diǎn)為SKIPIF1<0和2，求該二次函數(shù)的表達(dá)式．3．（2022·湖南·高一課時(shí)練習(xí)）已知二次函數(shù)SKIPIF1<0的圖象開口向下，與SKIPIF1<0軸交于SKIPIF1<0，SKIPIF1<0兩點(diǎn)．(1)求SKIPIF1<0的取值范圍；(2)當(dāng)SKIPIF1<0時(shí)，求該二次函數(shù)的表達(dá)式．4．（2022·河南·信陽(yáng)高中高一期末（文））已知SKIPIF1<0為二次函數(shù)，且SKIPIF1<0．(1)求SKIPIF1<0的表達(dá)式；5．（2022·山西·高一期末）已知SKIPIF1<0是二次函數(shù)，且滿足SKIPIF1<0，SKIPIF1<0，SKIPIF1<0.(1)求函數(shù)SKIPIF1<0的解析式；③由二次函數(shù)單調(diào)性（區(qū)間）求參數(shù)1．（2022·全國(guó)·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·貴溪市實(shí)驗(yàn)中學(xué)高二期末）若函數(shù)SKIPIF1<0在SKIPIF1<0上是減函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·湖北·武漢東湖新技術(shù)開發(fā)區(qū)教育發(fā)展研究院高一期末）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.4．（2022·廣東揭陽(yáng)·高二期末）若函數(shù)SKIPIF1<0的遞增區(qū)間是SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0______.5．（2022·湖南·高一課時(shí)練習(xí)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，求實(shí)數(shù)SKIPIF1<0的取值范圍．④根據(jù)二次函數(shù)最值（值域）求參數(shù)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·山西運(yùn)城·高一期末）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．16 B．12 C．10 D．83．（2022·四川省南充高級(jí)中學(xué)高三階段練習(xí)（理））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____.4．（2022·貴州畢節(jié)·高一期末）已知函數(shù)SKIPIF1<0．(1)當(dāng)SKIPIF1<0時(shí)，解關(guān)于x的不等式SKIPIF1<0；(2)函數(shù)SKIPIF1<0在SKIPIF1<0上的最大值為0，最小值是SKIPIF1<0，求實(shí)數(shù)a和t的值．5．（2022·重慶·高一期末）已知函數(shù)SKIPIF1<0，SKIPIF1<0．(1)若SKIPIF1<0在SKIPIF1<0上的值域?yàn)镾KIPIF1<0，求SKIPIF1<0的值；⑤動(dòng)軸定范圍，定軸動(dòng)范圍的最值問(wèn)題1．（2022·浙江金華第一中學(xué)高一期末）己知函數(shù)SKIPIF1<0，(1)求SKIPIF1<0在SKIPIF1<0上的最小值；2．（2022·廣東·高一期末）已知函數(shù)SKIPIF1<0．若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值為SKIPIF1<0，求a的值．3．（2022·江蘇南通·高一開學(xué)考試）已知二次函數(shù)SKIPIF1<0滿足SKIPIF1<0，且不等式SKIPIF1<0的解集為SKIPIF1<0．(1)求SKIPIF1<0的解析式；(2)若函數(shù)SKIPIF1<0在SKIPIF1<0時(shí)的值域?yàn)镾KIPIF1<0，求t的取值范圍，4．（2022·山東·廣饒一中高一開學(xué)考試）已知函數(shù)SKIPIF1<0.(1)若SKIPIF1<0，求不等式SKIPIF1<0的解集；(2)已知SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，求SKIPIF1<0的取值范圍；(3)求SKIPIF1<0在SKIPIF1<0上的最小值.5．（2022·全國(guó)·高三專題練習(xí)（理））設(shè)SKIPIF1<0求函數(shù)SKIPIF1<0的最小值SKIPIF1<0的解析式.第四部分：高考真題感悟第四部分：高考真題感悟1．（2021·山東·高考真題）關(guān)于函數(shù)SKIPIF1<0，以下表達(dá)錯(cuò)誤的選項(xiàng)是（

）A．函數(shù)的最大值是1 B．函數(shù)圖象的對(duì)稱軸是直線SKIPIF1<0C．函數(shù)的單調(diào)遞減區(qū)間是SKIPIF1<0 D．函數(shù)圖象過(guò)點(diǎn)SKIPIF1<02．（2021·湖南·高考真題）函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2020·江蘇·高考真題）已知y=f(x)是奇函數(shù)，當(dāng)x≥0時(shí)，SKIPIF1<0，則f(-8)的值是____.第五部分：第04講冪函數(shù)與二次函數(shù)（精練）第五部分：第04講冪函數(shù)與二次函數(shù)（精練）一、單選題1．（2022·全國(guó)·高三專題練習(xí)（理））已知函數(shù)SKIPIF1<0在閉區(qū)間SKIPIF1<0上有最大值5，最小值1，則SKIPIF1<0得取值范圍是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國(guó)·高三專題練習(xí)（文））如果函數(shù)f(x)＝x2＋bx＋c對(duì)任意的實(shí)數(shù)x，都有f(1＋x)＝f(－x)，那么()A．f(0)<f(2)<f(－2) B．f(0)<f(－2)<f(2)C．f(2)<f(0)<f(－2) D．f(－2)<f(0)<f(2)3．（2022·全國(guó)·高三專題練習(xí)）設(shè)SKIPIF1<0則“SKIPIF1<0的圖象經(jīng)過(guò)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4．（2022·北京·高三專題練習(xí)）已知點(diǎn)SKIPIF1<0在冪函數(shù)SKIPIF1<0圖像上，則SKIPIF1<0的表達(dá)式為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·全國(guó)·高三專題練習(xí)）如圖是二次函數(shù)y＝ax2＋bx＋c圖象的一部分，圖象過(guò)點(diǎn)A(－3,0)，對(duì)稱軸為x＝－1.給出下面四個(gè)結(jié)論：①b2>4ac；②2a－b＝1；③a－b＋c＝0；④5a<b.其中正確的是()A．②④ B．①④C．②③ D．①③6．（2022·全國(guó)·高三專題練習(xí)）冪函數(shù)SKIPIF1<0在SKIPIF1<0為增函數(shù)，則SKIPIF1<0的值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<07．（2022·全國(guó)·高三專題練習(xí)）已知冪函數(shù)SKIPIF1<0的圖象在SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)SKIPIF1<0的值是（