新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題23 導(dǎo)數(shù)的綜合問題（單選+填空）（原卷版）

試卷第=page11頁，共=sectionpages33頁專題23導(dǎo)數(shù)的綜合問題（單選+填空）一、單選題1．（2023秋·湖北·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義域都為SKIPIF1<0，且SKIPIF1<0為偶函數(shù)，SKIPIF1<0為奇函數(shù)，則下列說法正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023·江蘇泰州·統(tǒng)考一模）若過點(diǎn)SKIPIF1<0可以作曲線SKIPIF1<0的兩條切線，切點(diǎn)分別為SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2023春·廣東惠州·高三?？茧A段練習(xí)）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為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<04．（2023·重慶沙坪壩·高三重慶八中?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0，若對于定義域內(nèi)的任意實(shí)數(shù)s，總存在實(shí)數(shù)t使得SKIPIF1<0，則實(shí)數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2023春·江蘇南京·高三南京師大附中?？奸_學(xué)考試）已知函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)，則實(shí)數(shù)a的取值范圍（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2023·福建漳州·統(tǒng)考三模）已知函數(shù)SKIPIF1<0和函數(shù)SKIPIF1<0，具有相同的零點(diǎn)SKIPIF1<0，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·湖南·模擬預(yù)測）已知函數(shù)SKIPIF1<0（e是自然對數(shù)的底數(shù)），若存在SKIPIF1<0，使得SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023·湖南邵陽·統(tǒng)考二模）若不等式SKIPIF1<0對任意SKIPIF1<0恒成立，則正實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（2023春·廣東·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0，直線SKIPIF1<0，若有且僅有一個(gè)整數(shù)SKIPIF1<0，使得點(diǎn)SKIPIF1<0在直線l上方，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．（2023·廣東湛江·統(tǒng)考一模）已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義域均為R，且SKIPIF1<0為奇函數(shù)，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．13 B．16 C．25 D．5111．（2023秋·江蘇南京·高三南京市第一中學(xué)?？计谀┰O(shè)SKIPIF1<0，函數(shù)SKIPIF1<0滿足SKIPIF1<0，則α落于區(qū)間（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題12．（2023春·浙江·高三開學(xué)考試）已知定義在SKIPIF1<0上可導(dǎo)函數(shù)SKIPIF1<0，對于任意的實(shí)數(shù)x都有SKIPIF1<0成立，且當(dāng)SKIPIF1<0時(shí)，都有SKIPIF1<0成立，若SKIPIF1<0，則實(shí)數(shù)m的取值范圍是__________．13．（2023秋·浙江杭州·高三期末）已知不等式SKIPIF1<0，對SKIPIF1<0恒成立，則a的取值范圍是__________．14．（2023·江蘇連云港·統(tǒng)考模擬預(yù)測）已知定義在R上的函數(shù)SKIPIF1<0，若SKIPIF1<0有解，則實(shí)數(shù)a的取值范圍是______________．15．（2023·湖北武漢·統(tǒng)考模擬預(yù)測）已知函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)SKIPIF1<0與SKIPIF1<0，若SKIPIF1<0，則實(shí)數(shù)a＝____________.16．（2023·湖北·統(tǒng)考模擬預(yù)測）函數(shù)SKIPIF1<0，若關(guān)于x的不等式SKIPIF1<0的解集為SKIPIF1<0，則實(shí)數(shù)a的取值范圍為__________．17．（2023春·湖南·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，且滿足SKIPIF1<0在SKIPIF1<0上恒成立，則不等式SKIPIF1<0SKIPIF1<0的解集是____________．18．（2023春·湖南長沙·高三雅禮中學(xué)?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0，若SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍__________.19．（2023·廣東茂名·統(tǒng)考一模）e是自然對數(shù)的底數(shù)，SKIPIF1<0的零點(diǎn)為______.20．（2023·廣東湛江·統(tǒng)考一模）若函數(shù)SKIPIF1<0存在兩個(gè)極值點(diǎn)SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0______．21．（2023春·浙江·高三校聯(lián)考開學(xué)考試）已知曲線SKIPIF1<0與SKIPIF1<0的兩條公切線的夾角正切值為SKIPIF1<0，則SKIPIF1<0________．22．（2023秋·江蘇蘇州·高三統(tǒng)考期末）若對任意SKIPIF1<0，關(guān)于x的不等式SKIPIF1<0恒成立，則實(shí)數(shù)a的最大值為________．23．（2023秋·河北唐山·高三統(tǒng)考期末）函數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0的取值范圍是__________.24．（2023春·河北邢臺(tái)·高三邢臺(tái)市第二中學(xué)?？茧A段練習(xí)）已知實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0（其中SKIPIF1<0為自然對數(shù)的底數(shù)），則SKIPIF1<0的最小值是_________．25．（2023·福建泉州·統(tǒng)考三模）已知函數(shù)SKIPIF1<0有兩個(gè)零點(diǎn)，則實(shí)數(shù)a的取值范圍為___________．26．（2023·山東淄博·統(tǒng)考一模）已知函數(shù)SKIPIF1<0，若存在實(shí)數(shù)SKIPIF1<0，滿足SKIPIF1<0，則SKIPIF1<0的最大值是______．27．（2023春·湖北·高三統(tǒng)考階段練習(xí)）若關(guān)于SKIPIF1<0的不等式SKIPIF1<0有解，則SKIPIF1<0的取值范圍是__________.（其中SKIPIF1<0）28．（2023·湖南·湖南師大附中校聯(lián)考模擬預(yù)測）已知不等式