新高考數(shù)學一輪復習第2章 第05講 指數(shù)與指數(shù)函數(shù) 精講+精練（學生版）

第05講指數(shù)與指數(shù)函數(shù)(精講+精練）目錄第一部分：知識點精準記憶第二部分：課前自我評估測試第三部分：典型例題剖析高頻考點一：指數(shù)與指數(shù)冪的運算高頻考點二：指數(shù)函數(shù)的概念高頻考點三：指數(shù)函數(shù)的圖象①判斷指數(shù)型函數(shù)的圖象；②根據指數(shù)型函數(shù)圖象求參數(shù)③指數(shù)型函數(shù)圖象過定點問題；④指數(shù)函數(shù)圖象應用高頻考點四：指數(shù)（型）函數(shù)定義域高頻考點五：指數(shù)（型）函數(shù)的值域①指數(shù)函數(shù)在區(qū)間SKIPIF1<0上的值域；②指數(shù)型復合函數(shù)值域③根據指數(shù)函數(shù)值域（最值）求參數(shù)高頻考點六：指數(shù)函數(shù)單調性①判斷指數(shù)函數(shù)單調性；②由指數(shù)（型）函數(shù)單調性求參數(shù)③判斷指數(shù)型復合函數(shù)單調性；④比較大?、莞鶕笖?shù)函數(shù)單調性解不等式高頻考點七：指數(shù)函數(shù)的最值①求已知指數(shù)型函數(shù)的值域②根據指數(shù)函數(shù)最值求參數(shù)③含參指數(shù)（型）函數(shù)最值第四部分：高考真題感悟第五部分：第05講指數(shù)與指數(shù)函數(shù)（精練）第一部分：知識點精準記憶第一部分：知識點精準記憶1、根式的概念及性質（1）概念：式子SKIPIF1<0叫做根式，其中SKIPIF1<0叫做根指數(shù)，SKIPIF1<0叫做被開方數(shù)．（2）性質：①SKIPIF1<0(SKIPIF1<0且SKIPIF1<0)；②當SKIPIF1<0為奇數(shù)時，SKIPIF1<0；當SKIPIF1<0為偶數(shù)時，SKIPIF1<02、分數(shù)指數(shù)冪①正數(shù)的正分數(shù)指數(shù)冪的意義是SKIPIF1<0(SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0)；②正數(shù)的負分數(shù)指數(shù)冪的意義是SKIPIF1<0(SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0)；③0的正分數(shù)指數(shù)冪等于0；0的負分數(shù)指數(shù)冪沒有意義．3、指數(shù)冪的運算性質①SKIPIF1<0；②SKIPIF1<0；③SKIPIF1<0.4、指數(shù)函數(shù)及其性質（1）指數(shù)函數(shù)的概念函數(shù)SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)叫做指數(shù)函數(shù)，其中指數(shù)SKIPIF1<0是自變量，函數(shù)的定義域是SKIPIF1<0．（2）指數(shù)函數(shù)SKIPIF1<0的圖象和性質底數(shù)SKIPIF1<0SKIPIF1<0圖象性質定義域為SKIPIF1<0，值域為SKIPIF1<0圖象過定點SKIPIF1<0當SKIPIF1<0時，恒有SKIPIF1<0；當SKIPIF1<0時，恒有SKIPIF1<0當SKIPIF1<0時，恒有SKIPIF1<0；當SKIPIF1<0時，恒有SKIPIF1<0在定義域SKIPIF1<0上為增函數(shù)在定義域SKIPIF1<0上為減函數(shù)注意指數(shù)函數(shù)SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)的圖象和性質與SKIPIF1<0的取值有關，應分SKIPIF1<0與SKIPIF1<0來研究第二部分：課前自我評估測試第二部分：課前自我評估測試一、判斷題1．（2021·江西·貴溪市實驗中學高二階段練習）函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）的圖象必過定點SKIPIF1<0()2．（2021·江西·貴溪市實驗中學高二階段練習）SKIPIF1<0

()二、單選題1．（2022·寧夏·銀川一中高二期末（文））函數(shù)SKIPIF1<0在SKIPIF1<0的最大值是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·江蘇南通·高一期末）已知指數(shù)函數(shù)SKIPIF1<0（SKIPIF1<0，且SKIPIF1<0），且SKIPIF1<0，則SKIPIF1<0的取值范圍（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·北京·高三專題練習）若函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）的圖像經過定點P，則點P的坐標是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·河北廊坊·高一期末）指數(shù)函數(shù)SKIPIF1<0在R上單調遞減，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·北京·高三專題練習）若函數(shù)SKIPIF1<0是指數(shù)函數(shù)，則SKIPIF1<0等于（

）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0第三部分：典型例題剖析第三部分：典型例題剖析高頻考點一：指數(shù)與指數(shù)冪的運算1．（2022·廣東肇慶·高一期末）設SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．2 D．32．（2022·上海楊浦·高一期末）設SKIPIF1<0，下列計算中正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·廣東深圳·高一期末）下列根式與分數(shù)指數(shù)冪的互化正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國·高三專題練習）化簡SKIPIF1<0的結果為（

）A．－SKIPIF1<0 B．－SKIPIF1<0C．－SKIPIF1<0 D．－6ab高頻考點二：指數(shù)函數(shù)的概念1．（2022·浙江·高三專題練習）函數(shù)SKIPIF1<0，且a≠1)的圖象經過點SKIPIF1<0，則f(-2)=（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．92．（2022·黑龍江·嫩江市第一中學校高一期末）已知指數(shù)函數(shù)SKIPIF1<0在SKIPIF1<0上單調遞增，則SKIPIF1<0的值為（

）A．3 B．2 C．SKIPIF1<0 D．SKIPIF1<03．（2022·全國·高一課時練習）函數(shù)SKIPIF1<0是指數(shù)函數(shù)，則（

）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0且SKIPIF1<04．（2022·浙江·高三專題練習）若指數(shù)函數(shù)SKIPIF1<0在[－1,1]上的最大值與最小值的差是1，則底數(shù)a等于A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0高頻考點三：指數(shù)函數(shù)的圖象①判斷指數(shù)型函數(shù)的圖象1．（2022·上海市復興高級中學高一階段練習）函數(shù)SKIPIF1<0的大致圖像是（

）A．B．C．D．2．（2022·上海市進才中學高二階段練習）函數(shù)SKIPIF1<0的圖像的大致形狀是（

）A． B．C．D．3．（2022·全國·高三專題練習）已知0＜m＜n＜1，則指數(shù)函數(shù)①y＝mx，②y＝nx的圖象為（）．A． B．C．D．4．（2022·全國·高三專題練習（文））函數(shù)SKIPIF1<0的圖象可能是

()A． B．C． D．②根據指數(shù)型函數(shù)圖象求參數(shù)1．（2022·全國·高三專題練習）函數(shù)SKIPIF1<0的圖象如圖所示，其中SKIPIF1<0，SKIPIF1<0為常數(shù)，則下列結論正確的是（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<02．（2022·全國·高三專題練習）函數(shù)SKIPIF1<0與SKIPIF1<0的圖象如圖，則下列不等式一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·全國·高一專題練習）函數(shù)SKIPIF1<0的圖像如圖所示，其中SKIPIF1<0SKIPIF1<0為常數(shù)，則下列結論正確的是（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<04．（2021·全國·高一專題練習）若函數(shù)SKIPIF1<0的圖象如圖所示，則（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0 C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<0③指數(shù)型函數(shù)圖象過定點問題1．（2022·吉林·長春市第二中學高一期末）函數(shù)SKIPIF1<0且SKIPIF1<0的圖象恒過定點（

）A．(－2，0) B．(－1，0)C．(0，－1) D．(－1，－2)2．（2022·全國·高三專題練習）若函數(shù)SKIPIF1<0過定點SKIPIF1<0，以SKIPIF1<0為頂點且過原點的二次函數(shù)SKIPIF1<0的解析式為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·河南焦作·高一期末）已知函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）的圖象過定點SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國·高三專題練習）已知函數(shù)SKIPIF1<0(SKIPIF1<0，SKIPIF1<0)恒過定點SKIPIF1<0，則函數(shù)SKIPIF1<0的圖像不經過（

）A．第一象限 B．第二象限C．第三象限 D．第四象限④指數(shù)函數(shù)圖象應用1．（2021·重慶市涪陵第二中學校高一階段練習）函數(shù)SKIPIF1<0的圖象可能是（

）A． B．C． D．2．（2021·全國·高一課時練習）函數(shù)SKIPIF1<0，且SKIPIF1<0）與SKIPIF1<0的圖像大致是A． B． C． D．3．（2021·全國·高一課時練習）若SKIPIF1<0，SKIPIF1<0，則函數(shù)SKIPIF1<0的圖像一定經過（

）A．第一、二、三象限 B．第一、三、四象限C．第二、三、四象限 D．第一、二、四象限高頻考點四：指數(shù)（型）函數(shù)定義域1．（2022·全國·高三專題練習）函數(shù)SKIPIF1<0的定義域是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國·高三專題練習）函數(shù)SKIPIF1<0的定義域為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2021·江蘇·高一專題練習）函數(shù)y＝SKIPIF1<0的定義域是(－∞，0]，則a的取值范圍為()A．a＞0 B．a＜1C．0＜a＜1 D．a≠14．（2021·廣西河池·高一階段練習）設函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的定義域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0高頻考點五：指數(shù)（型）函數(shù)的值域①指數(shù)函數(shù)在區(qū)間SKIPIF1<0上的值域1．（2022·全國·高一）當xSKIPIF1<0[-1，1]時，函數(shù)f(x)=3x-2的值域為________2．（2022·全國·高三專題練習）已知函數(shù)f（x）=9x﹣aSKIPIF1<03x+1+a2（x∈[0，1]，a∈R），記f（x）的最大值為g（a）．（Ⅰ）求g（a）解析式；（Ⅱ）若對于任意t∈[﹣2，2]，任意a∈R，不等式g（a）≥﹣m2+tm恒成立，求實數(shù)m的范圍．3．（2022·全國·高三專題練習）已知函數(shù)SKIPIF1<0.當SKIPIF1<0時，求函數(shù)SKIPIF1<0在SKIPIF1<0的值域；4．（2022·江西省豐城中學高一開學考試）函數(shù)SKIPIF1<0且SKIPIF1<0，函數(shù)SKIPIF1<0.(1)求SKIPIF1<0的解析式；(2)若關于SKIPIF1<0的方程SKIPIF1<0在區(qū)間SKIPIF1<0上有實數(shù)根，求實數(shù)SKIPIF1<0的取值范圍.②指數(shù)型復合函數(shù)值域1．（2022·山西·臨汾第一中學校高一期末）函數(shù)SKIPIF1<0的值域為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·湖南邵陽·高一期末）函數(shù)SKIPIF1<0的值域為______．3．（2022·全國·高三專題練習）函數(shù)SKIPIF1<0的值域是___________.4．（2022·河南·洛寧縣第一高級中學高一階段練習）已知函數(shù)SKIPIF1<0.(1)當SKIPIF1<0時，求SKIPIF1<0的值域；(2)若SKIPIF1<0有最大值16，求SKIPIF1<0的值.5．（2022·全國·高三專題練習）已知函數(shù)SKIPIF1<0.（1）求SKIPIF1<0在SKIPIF1<0上的值域；③根據指數(shù)函數(shù)值域（最值）求參數(shù)1．（2022·廣東湛江·高一期末）已知函數(shù)SKIPIF1<0的定義域和值域都是SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<02．（2022·遼寧鞍山·高一期末）若函數(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<03．（2022·全國·高一）已知函數(shù)SKIPIF1<0且SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值比最小值大SKIPIF1<0,求SKIPIF1<0的值.4．（2022·湖南·高一期末）已知函數(shù)SKIPIF1<0.(1)求SKIPIF1<0的值域；(2)當SKIPIF1<0時，SKIPIF1<0的最大值為7，求SKIPIF1<0的值.5．（2022·全國·高三專題練習）已知函數(shù)SKIPIF1<0（SKIPIF1<0為常數(shù)，SKIPIF1<0）是SKIPIF1<0上的奇函數(shù)．(1)求實數(shù)SKIPIF1<0的值；(2)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的值域為SKIPIF1<0，求SKIPIF1<0的值．高頻考點六：指數(shù)函數(shù)單調性①判斷指數(shù)函數(shù)單調性1．（2022·廣西南寧·高一期末）設函數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．是偶函數(shù)，且在SKIPIF1<0單調遞增 B．是偶函數(shù)，且在SKIPIF1<0單調遞減C．是奇函數(shù)，且在SKIPIF1<0單調遞增 D．是奇函數(shù)，且在SKIPIF1<0單調遞減2．（2022·福建寧德·高一期末）已知SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0．(1)求SKIPIF1<0的解析式；(2)判斷SKIPIF1<0的單調性，并根據定義證明．3．（2021·貴州·六盤水紅橋學校高一階段練習）若函數(shù)SKIPIF1<0是指數(shù)函數(shù)(1)求SKIPIF1<0，SKIPIF1<0的值；(2)求解不等式SKIPIF1<04．（2021·全國·高一期末）設函數(shù)SKIPIF1<0，(1)判斷SKIPIF1<0的單調性，并證明你的結論；②由指數(shù)（型）函數(shù)單調性求參數(shù)1．（2022·遼寧朝陽·高一開學考試）若函數(shù)SKIPIF1<0在SKIPIF1<0上單調遞減，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·內蒙古·赤峰二中高一期末（文））若函數(shù)SKIPIF1<0是R上的減函數(shù)，則實數(shù)a的取值范圍是___．3．（2022·河北張家口·高一期末）已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調遞減，則實數(shù)SKIPIF1<0的取值范圍是______.4．（2022·湖南·高一課時練習）若函數(shù)SKIPIF1<0是指數(shù)函數(shù)，且為指數(shù)增長型函數(shù)模型，則實數(shù)SKIPIF1<0________.5．（2022·安徽·歙縣教研室高一期末）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上為增函數(shù)，則實數(shù)SKIPIF1<0的取值范圍為______.6．（2022·湖南·高一課時練習）若函數(shù)SKIPIF1<0是區(qū)間SKIPIF1<0上的減函數(shù)，求實數(shù)SKIPIF1<0的取值范圍．③判斷指數(shù)型復合函數(shù)單調性1．（2022·安徽省蚌埠第三中學高一開學考試）函數(shù)SKIPIF1<0的單調遞減區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·河南·商丘市第一高級中學高一開學考試）已知函數(shù)SKIPIF1<0，且對于任意的SKIPIF1<0，都有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<03．（2022·寧夏·吳忠中學高一期末）已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調遞減，則實數(shù)SKIPIF1<0的取值范圍是______．4．（2022·河南·林州一中高一開學考試）已知函數(shù)SKIPIF1<0是奇函數(shù).(1)求SKIPIF1<0的值；(2)判斷并證明函數(shù)SKIPIF1<0的單調性.④比較大小1．（2022·廣東汕尾·高一期末）若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·陜西·略陽縣天津高級中學高三階段練習（文））設SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則a，b，c的大小關系是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·福建三明·高一期末）已知SKIPIF1<0，則它們的大小關系是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·海南·模擬預測）設SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0⑤根據指數(shù)函數(shù)單調性解不等式1．（2022·全國·高一）若SKIPIF1<0，則x的取值范圍是______．2．（2022·海南鑫源高級中學高一期末）已知不等式SKIPIF1<0的解集是__________.3．（2022·福建·莆田一中高一開學考試）已知SKIPIF1<0是定義在R上的偶函數(shù)，且在區(qū)間SKIPIF1<0上單調遞增，若實數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的取值范圍是______．4．（2022·福建福州·高一期末）已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，當SKIPIF1<0時，SKIPIF1<0．(1)求SKIPIF1<0的解析式；(2)解不等式SKIPIF1<0．高頻考點七：指數(shù)函數(shù)的最值①求已知指數(shù)型函數(shù)的值域1．（2022·新疆·石河子第二中學高二階段練習）已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，使得SKIPIF1<0，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·北京·高三學業(yè)考試）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．有最大值，有最小值 B．有最大值，無最小值C．無最大值，有最小值 D．無最大值，無最小值3．（2022·全國·高三專題練習（文））設函數(shù)SKIPIF1<0，則SKIPIF1<0________；函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0的最大值為_________．4．（2022·貴州貴陽·高一期末）已知函數(shù)SKIPIF1<0，若SKIPIF1<0，使得SKIPIF1<0，則實數(shù)a的取值范圍是___________.5．（2022·甘肅·蘭州一中高一期末）已知SKIPIF1<0，則函數(shù)SKIPIF1<0的最大值為__________.②根據指數(shù)函數(shù)最值求參數(shù)1．（2022·遼寧·渤海大學附屬高級中學高一期末）若函數(shù)SKIPIF1<0在SKIPIF1<0上有最大值SKIPIF1<0，則實數(shù)a的值為（

）A．1 B．SKIPIF1<0 C．1或SKIPIF1<0 D．1或SKIPIF1<02．(多選）（2022·江蘇常州·高一期末）若函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）在區(qū)間SKIPIF1<0上的最大值和最小值的和為SKIPIF1<0，則SKIPIF1<0的值可能是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·上海虹口·高一期末）已知函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）在SKIPIF1<0的最大值與最小值之差等于SKIPIF1<0，則實數(shù)SKIPIF1<0的值為______．4．（2022·青?！ずＤ喜刈遄灾沃莞呒壷袑W高一期末）已知指數(shù)函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）在區(qū)間SKIPIF1<0上的最大值是最小值的2倍，則SKIPIF1<0______．5．（2022·全國·高三專題練習）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值和最小值之和為6，則實數(shù)SKIPIF1<0______.6．（2022·湖南·高一課時練習）若函數(shù)SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）在區(qū)間SKIPIF1<0上的最小值為SKIPIF1<0，求SKIPIF1<0的值．③含參指數(shù)（型）函數(shù)最值1．（2022·全國·高三專題練習）如果函數(shù)y=a2x+2ax-1(a>0，且a≠1)在區(qū)間[-1，1]上的最大值是14，則a的值為________.2．（2022·寧夏吳忠區(qū)青銅峽市教育局高一開學考試）已知函數(shù)SKIPIF1<0．（1）當SKIPIF1<0時，求函數(shù)SKIPIF1<0的零點；（2）若SKIPIF1<0，求SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值SKIPIF1<0．3．（2022·全國·高三專題練習（文））已知函數(shù)SKIPIF1<0．（1）若函數(shù)SKIPIF1<0在SKIPIF1<0，SKIPIF1<0上有最大值SKIPIF1<0，求實數(shù)SKIPIF1<0的值；（2）若方程SKIPIF1<0在SKIPIF1<0，SKIPIF1<0上有解，求實數(shù)SKIPIF1<0的取值范圍．4．（2022·全國·高一課時練習）求函數(shù)SKIPIF1<0的最值.第四部分：高考真題感悟第四部分：高考真題感悟1．（2020·山東·高考真題）已知函數(shù)SKIPIF1<0是偶函數(shù)，當SKIPIF1<0時，SKIPIF1<0，則該函數(shù)在SKIPIF1<0上的圖像大致是（

）A． B．C． D．2．（2021·湖南·高考真題）已知函數(shù)SKIPIF1<0（1）畫出函數(shù)SKIPIF1<0的圖象；（2）若SKIPIF1<0，求SKIPIF1<0的取值范圍.第五部分：第05講指數(shù)與指數(shù)函數(shù)（精練）第五部分：第05講指數(shù)與指數(shù)函數(shù)（精練）一、單選題1．（2022·江蘇江蘇·一模）設全集SKIPIF1<0，集合SKIPIF1<0，SKIPIF1<0，則集合SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·河南·模擬預測（文））已知SKIPIF1<0，SKIPIF1<0，則ab=（

）A．2 B．SKIPIF1<0 C．SKIPIF1<0 D．13．（2022·遼寧朝陽·高二開學考試）已知函數(shù)SKIPIF1<0，若SKIPIF1<0，則a，b，c的大小關系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·四川宜賓·二模（文））物理學家和數(shù)學家牛頓（IssacNewton）提出了物體在常溫下溫度變化的冷卻模型：設物體的初始溫度是SKIPIF1<0（單位：SKIPIF1<0），環(huán)境溫度是SKIPIF1<0（單位：SKIPIF1<0），且經過一定時間SKIPIF1<0（單位：SKIPIF1<0）后物體的溫度SKIPIF1<0（單位：SKIPIF1<0）滿足SKIPIF1<0（SKIPIF1<0為正常數(shù)）.現(xiàn)有一杯100SKIPIF1<0熱水，環(huán)境溫度SKIPIF1<0℃，冷卻到40℃需要SKIPIF1<0，那么這杯熱水要從SKIPIF1<0SKIPIF1<0繼續(xù)冷卻到SKIPIF1<0SKIPIF1<0，還需要的時間為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·湖北·石首市第一中學高一階段練習）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022·河南·模擬預測（文