高考數(shù)學(xué)二輪復(fù)習(xí)壓軸題專題04 一元函數(shù)的導(dǎo)數(shù)及其應(yīng)用（利用導(dǎo)函數(shù)研究不等式問(wèn)題）（選填壓軸題）（原卷版）

專題04一元函數(shù)的導(dǎo)數(shù)及其應(yīng)用（利用導(dǎo)函數(shù)研究不等式問(wèn)題）（選填壓軸題）目錄TOC\o"1-1"\h\u①構(gòu)造SKIPIF1<0或SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)型 1②構(gòu)造SKIPIF1<0或SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)型 6③構(gòu)造SKIPIF1<0或SKIPIF1<0型 9④構(gòu)造SKIPIF1<0或SKIPIF1<0型 13⑤根據(jù)不等式（求解目標(biāo)）構(gòu)造具體函數(shù) 17①構(gòu)造SKIPIF1<0或SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)型1．（2023春·四川成都·高二?？茧A段練習(xí)）函數(shù)SKIPIF1<0是定義在區(qū)間SKIPIF1<0上的可導(dǎo)函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0，且滿足SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023春·云南楚雄·高二統(tǒng)考期中）已知SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0，對(duì)任意的SKIPIF1<0，都有SKIPIF1<00，且SKIPIF1<0，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2023春·廣東梅州·高二統(tǒng)考期末）已知SKIPIF1<0是定義在R上的偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，有SKIPIF1<0恒成立，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023春·廣東東莞·高二統(tǒng)考期末）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0,其導(dǎo)函數(shù)SKIPIF1<0滿足SKIPIF1<0,則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2023春·陜西寶雞·高二統(tǒng)考期末）已知函數(shù)SKIPIF1<0為定義在R上的奇函數(shù)，若當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2023·全國(guó)·高三對(duì)口高考）已知SKIPIF1<0是定義在SKIPIF1<0上的非負(fù)可導(dǎo)函數(shù)，且滿足SKIPIF1<0，對(duì)任意正數(shù)a、b，若SKIPIF1<0，則必有（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2023春·江西南昌·高二校聯(lián)考階段練習(xí)）若定義域?yàn)镾KIPIF1<0的函數(shù)SKIPIF1<0滿足SKIPIF1<0，則不等式SKIPIF1<0的解集為.8．（2023·全國(guó)·高二專題練習(xí)）已知定義在SKIPIF1<0的函數(shù)SKIPIF1<0滿足任意SKIPIF1<0成立，且SKIPIF1<0，則不等式SKIPIF1<0的解集為.9．（2023春·陜西延安·高二陜西延安中學(xué)?？计谥校┒x域?yàn)镾KIPIF1<0的奇函數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0恒成立，若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的大小關(guān)系為.10．（2023春·新疆伊犁·高二奎屯市第一高級(jí)中學(xué)?？计谥校┰O(shè)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，SKIPIF1<0為其導(dǎo)函數(shù)，SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，有SKIPIF1<0恒成立，則不等式SKIPIF1<0的解集為．②構(gòu)造SKIPIF1<0或SKIPIF1<0(SKIPIF1<0，且SKIPIF1<0)型1．（2023春·安徽合肥·高二合肥工業(yè)大學(xué)附屬中學(xué)校聯(lián)考期末）設(shè)函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，其導(dǎo)函數(shù)為SKIPIF1<0，且滿足SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0（其中e為自然對(duì)數(shù)的底數(shù)）的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023春·重慶沙坪壩·高二重慶八中?？计谀┰O(shè)函數(shù)SKIPIF1<0的定義域?yàn)镽，SKIPIF1<0是其導(dǎo)函數(shù)，若SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2023春·廣東潮州·高二統(tǒng)考期末）已知函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，且SKIPIF1<0，則（

）A．SKIPIF1<0，SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<04．（2023春·陜西漢中·高二校聯(lián)考期末）已知可導(dǎo)函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，若對(duì)任意的SKIPIF1<0，都有SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023春·河南洛陽(yáng)·高二統(tǒng)考期末）設(shè)SKIPIF1<0是定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且SKIPIF1<0．若SKIPIF1<0（e為自然對(duì)數(shù)的底數(shù)），則實(shí)數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023春·福建漳州·高二統(tǒng)考期末）已知函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，若SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集為.7．（2023春·山東棗莊·高二統(tǒng)考期末）已知定義在R上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，且滿足SKIPIF1<0，SKIPIF1<0，則不等式SKIPIF1<0的解集是．8．（2023·四川瀘州·統(tǒng)考三模）已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0定義域均為R，且SKIPIF1<0，SKIPIF1<0，則關(guān)于x的不等式SKIPIF1<0的解集為．③構(gòu)造SKIPIF1<0或SKIPIF1<0型1．（2023春·四川成都·高二期末）記函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，若SKIPIF1<0為奇函數(shù)，且當(dāng)SKIPIF1<0時(shí)恒有SKIPIF1<0成立，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023春·重慶·高二統(tǒng)考期末）設(shè)SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2023春·內(nèi)蒙古赤峰·高三?？茧A段練習(xí)）已知SKIPIF1<0是奇函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023·全國(guó)·高二專題練習(xí)）設(shè)SKIPIF1<0是定義在SKIPIF1<0的奇函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集為.5．（2023·全國(guó)·高三專題練習(xí)）函數(shù)SKIPIF1<0的定義域是SKIPIF1<0，其導(dǎo)函數(shù)是SKIPIF1<0，若SKIPIF1<0，則關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集為．④構(gòu)造SKIPIF1<0或SKIPIF1<0型1．（2023春·新疆克孜勒蘇·高二校考期末）已知函數(shù)SKIPIF1<0對(duì)于任意的x∈SKIPIF1<0滿足SKIPIF1<0（其中SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)），則下列不等式成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023春·陜西西安·高二統(tǒng)考期中）已知SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，SKIPIF1<0，且對(duì)于任意的SKIPIF1<0有SKIPIF1<0．請(qǐng)你試用構(gòu)造函數(shù)的方法，利用函數(shù)的單調(diào)性判斷下列不等式一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2023春·山東聊城·高二山東聊城一中校聯(lián)考階段練習(xí)）已知偶函數(shù)SKIPIF1<0滿足SKIPIF1<0對(duì)SKIPIF1<0恒成立，下列正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023春·陜西咸陽(yáng)·高二統(tǒng)考期中）已知SKIPIF1<0是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)SKIPIF1<0，且對(duì)于任意的SKIPIF1<0有SKIPIF1<0.請(qǐng)你試用構(gòu)造函數(shù)的方法，利用函數(shù)的單調(diào)性判斷下列不等式一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（多選）（2023春·江西吉安·高二永豐縣永豐中學(xué)?？计谀┮阎瘮?shù)SKIPIF1<0是其導(dǎo)函數(shù)，恒有SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0⑤根據(jù)不等式（求解目標(biāo)）構(gòu)造具體函數(shù)1．（2023·江蘇南京·統(tǒng)考二模）已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的可導(dǎo)函數(shù)，其導(dǎo)函數(shù)為SKIPIF1<0．若對(duì)任意SKIPIF1<0有SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023·全國(guó)·高三專題練習(xí)）已知定義在SKIPI