新高考數(shù)學(xué)二輪復(fù)習(xí) 題型歸納演練專題3-2 利用導(dǎo)數(shù)解決單調(diào)性中求參數(shù)問(wèn)題（選填）（原卷版）

專題3-2利用導(dǎo)數(shù)解決單調(diào)性中求參數(shù)問(wèn)題（選填）TOC\o"1-1"\h\u 1題型一：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào) 1題型二：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)區(qū)間 3題型三：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào) 4題型四：已知函數(shù)SKIPIF1<0的單調(diào)區(qū)間恰為SKIPIF1<0 5題型五：已知函數(shù)SKIPIF1<0有三個(gè)單調(diào)區(qū)間 6 7題型一：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)【典型例題】例題1．（2022·重慶市第七中學(xué)校高二階段練習(xí)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0單調(diào)遞增，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0例題2．（2022·全國(guó)·高二課時(shí)練習(xí)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)單調(diào)遞減，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0例題3．（2022·陜西咸陽(yáng)中學(xué)高三階段練習(xí)（理））已知函數(shù)SKIPIF1<0，若對(duì)SKIPIF1<0，SKIPIF1<0，都有SKIPIF1<0成立，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【提分秘籍】已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)①已知SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增SKIPIF1<0SKIPIF1<0，SKIPIF1<0恒成立.②已知SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減SKIPIF1<0SKIPIF1<0，SKIPIF1<0恒成立.注：已知單調(diào)性，等價(jià)條件中的不等式含等號(hào).【變式演練】1．（2021·四川·宜賓市敘州區(qū)第一中學(xué)校高二階段練習(xí)（文））若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<02．（2022·全國(guó)·高三專題練習(xí)）設(shè)函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·陜西省寶雞市長(zhǎng)嶺中學(xué)高二期中（理））若函數(shù)SKIPIF1<0在SKIPIF1<0上是增函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·山西臨汾·高三期中）設(shè)函數(shù)SKIPIF1<0，若對(duì)任意SKIPIF1<0，SKIPIF1<0恒成立，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0題型二：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)區(qū)間【典型例題】例題1．（2022·江西·上高二中高二階段練習(xí)（文））若函數(shù)SKIPIF1<0存在單調(diào)遞減區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0例題2．（2022·全國(guó)·高三專題練習(xí)）若函數(shù)SKIPIF1<0存在單調(diào)遞增區(qū)間，則SKIPIF1<0的取值范圍是(

)A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【提分秘籍】已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)區(qū)間①已知SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)增區(qū)間SKIPIF1<0SKIPIF1<0，SKIPIF1<0有解.②已知SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)減區(qū)間SKIPIF1<0SKIPIF1<0，SKIPIF1<0有解.【變式演練】1．（2022·全國(guó)·高三專題練習(xí)）若函數(shù)SKIPIF1<0在SKIPIF1<0存在單調(diào)遞減區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·福建·福州黎明中學(xué)高三階段練習(xí)）若函數(shù)f(x)＝x2－4ex－ax在R上存在單調(diào)遞增區(qū)間，則實(shí)數(shù)a的取值范圍為__________．題型三：已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào)【典型例題】例題1．（2022·陜西·蒲城縣蒲城中學(xué)高三階段練習(xí)（文））已知函數(shù)SKIPIF1<0在SKIPIF1<0上不單調(diào)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0例題2．（2022·廣西河池·高二階段練習(xí)（理））若函數(shù)SKIPIF1<0在定義域內(nèi)的一個(gè)子區(qū)間SKIPIF1<0上不是單調(diào)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<0【提分秘籍】已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào)SKIPIF1<0SKIPIF1<0，使得SKIPIF1<0（其中SKIPIF1<0為變號(hào)零點(diǎn)）【變式演練】1．（2022·安徽·合肥一中高二階段練習(xí)）若函數(shù)SKIPIF1<0在其定義域上不單調(diào)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0或SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·四川省資陽(yáng)中學(xué)高二期中（理））已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·江西·金溪一中高二階段練習(xí)（理））已知函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)不是單調(diào)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<04．（2022·上海大學(xué)市北附屬中學(xué)高一期中）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不是單調(diào)函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍________.題型四：已知函數(shù)SKIPIF1<0的單調(diào)區(qū)間恰為SKIPIF1<0【典型例題】例題1．（2021·四川省成都市玉林中學(xué)高二期中（文））已知函數(shù)SKIPIF1<0在SKIPIF1<0單調(diào)遞增，在SKIPIF1<0單調(diào)遞減，則函數(shù)SKIPIF1<0在SKIPIF1<0的值域是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0例題2．（2022·全國(guó)·高二課時(shí)練習(xí)）已知函數(shù)SKIPIF1<0在SKIPIF1<0、SKIPIF1<0上為增函數(shù)，在SKIPIF1<0上為減函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【變式演練】1．（2022·全國(guó)·高二課時(shí)練習(xí)）已知函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間是SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·福建漳州·高二期末）已知函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間是SKIPIF1<0，則關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集是__________.題型五：已知函數(shù)SKIPIF1<0有三個(gè)單調(diào)區(qū)間【典型例題】例題1．（2019·河北省隆化存瑞中學(xué)高三階段練習(xí)（理））若函數(shù)SKIPIF1<0恰好有三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍為A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<0例題2．（2019·江蘇鹽城·一模）已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0存在三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.【提分秘籍】已知函數(shù)SKIPIF1<0有三個(gè)單調(diào)區(qū)間SKIPIF1<0SKIPIF1<0有兩個(gè)不同的實(shí)數(shù)根.【變式演練】1．（2022·寧夏·永寧縣文昌中學(xué)高三期末（文））若函數(shù)SKIPIF1<0有三個(gè)單調(diào)區(qū)間，則SKIPIF1<0的取值范圍是________________．2．（2022·江西省信豐中學(xué)高二階段練習(xí)（文））若函數(shù)SKIPIF1<0在定義域SKIPIF1<0上恰有三個(gè)單調(diào)區(qū)間，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2016·黑龍江雙鴨山·高二階段練習(xí)）若函數(shù)恰有三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)的取值范圍為A． B．C． D．4．（2020·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0恰有三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________．一、單選題1．（2019·四川自貢·高二期末（理））函數(shù)SKIPIF1<0恰有SKIPIF1<0個(gè)單調(diào)區(qū)間的必要不充分條件是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2019·河北省隆化存瑞中學(xué)高三階段練習(xí)（理））若函數(shù)SKIPIF1<0恰好有三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍為A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<03．（2022·河南·駐馬店市第二高級(jí)中學(xué)高三階段練習(xí)（文））若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2021·江蘇·張家港高級(jí)中學(xué)高三期中）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)存在單調(diào)遞增區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023·全國(guó)·高三專題練習(xí)）若函數(shù)SKIPIF1<0在其定義域的一個(gè)子區(qū)間SKIPIF1<0內(nèi)不是單調(diào)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<06．（2022·福建福州·高三期中）已知函數(shù)SKIPIF1<0，對(duì)任意的實(shí)數(shù)SKIPIF1<0，且SKIPIF1<0，不等式SKIPIF1<0恒成立，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·全國(guó)·高三專題練習(xí)）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不是單調(diào)函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0