新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題24 導(dǎo)數(shù)的綜合問題 多選題（原卷版）

試卷第=page11頁(yè)，共=sectionpages33頁(yè)專題24導(dǎo)數(shù)的綜合問題多選題1．（2023春·廣東揭陽(yáng)·高三?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義城均為SKIPIF1<0，記SKIPIF1<0，若SKIPIF1<0關(guān)于直線SKIPIF1<0對(duì)稱，SKIPIF1<0為奇函數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023·浙江嘉興·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則下列說法正確的是（

）A．若SKIPIF1<0，則SKIPIF1<0B．若SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0D．方程SKIPIF1<0有唯一實(shí)根3．（2023春·浙江·高三校聯(lián)考開學(xué)考試）設(shè)定義在SKIPIF1<0上的函數(shù)SKIPIF1<0與SKIPIF1<0的導(dǎo)函數(shù)分別為SKIPIF1<0和SKIPIF1<0．若SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0為奇函數(shù)，則下列說法中一定正確的是（

）A．函數(shù)SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023·山東濟(jì)寧·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，若SKIPIF1<0為奇函數(shù)，SKIPIF1<0的圖象關(guān)于y軸對(duì)稱，則下列結(jié)論中一定正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023·廣東·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0，則下列結(jié)論正確的是（

）A．函數(shù)SKIPIF1<0只有兩個(gè)極值點(diǎn)B．方程SKIPIF1<0有且只有兩個(gè)實(shí)根，則SKIPIF1<0的取值范圍為SKIPIF1<0C．方程SKIPIF1<0共有4個(gè)根D．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最大值為26．（2023秋·廣東揭陽(yáng)·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0，且存在唯一的整數(shù)SKIPIF1<0，使得SKIPIF1<0，則實(shí)數(shù)a的可能取值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·浙江·校聯(lián)考三模）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0有一個(gè)零點(diǎn) B．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減C．SKIPIF1<0有兩個(gè)極值點(diǎn) D．若SKIPIF1<0，則SKIPIF1<08．（2023·吉林·東北師大附中校考二模）已知函數(shù)SKIPIF1<0，SKIPIF1<0，其中SKIPIF1<0且SKIPIF1<0．若函數(shù)SKIPIF1<0，則下列結(jié)論正確的是（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0有且只有一個(gè)零點(diǎn)B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0有兩個(gè)零點(diǎn)C．當(dāng)SKIPIF1<0時(shí)，曲線SKIPIF1<0與曲線SKIPIF1<0有且只有兩條公切線D．若SKIPIF1<0為單調(diào)函數(shù)，則SKIPIF1<09．（2023春·山西·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0，則下列說法正確的是（

）A．若SKIPIF1<0在R上單調(diào)遞增，則SKIPIF1<0B．若SKIPIF1<0，設(shè)SKIPIF1<0的解集為SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0若兩個(gè)極值點(diǎn)SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0D．若SKIPIF1<0，則過SKIPIF1<0僅能做曲線SKIPIF1<0的一條切線10．（2023秋·黑龍江哈爾濱·高三哈爾濱三中?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0分別與直線SKIPIF1<0交于點(diǎn)SKIPIF1<0，則下列說法正確的（

）A．SKIPIF1<0的最小值為SKIPIF1<0B．SKIPIF1<0，使得曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線與曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線平行C．函數(shù)SKIPIF1<0的最小值小于2D．若SKIPIF1<0，則SKIPIF1<011．（2023·黑龍江哈爾濱·哈爾濱三中?？家荒＃┮阎猄KIPIF1<0且SKIPIF1<0，SKIPIF1<0，則下列說法中錯(cuò)誤的是（

）A．SKIPIF1<0B．若關(guān)于b的方程SKIPIF1<0有且僅有一個(gè)解，則SKIPIF1<0C．若關(guān)于b的方程SKIPIF1<0有兩個(gè)解SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<012．（2023·安徽·統(tǒng)考一模）已知函數(shù)SKIPIF1<0和SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0和SKIPIF1<0的定義域均為SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0為偶函數(shù)，則（

）A．SKIPIF1<0 B．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱 D．SKIPIF1<013．（2023春·重慶沙坪壩·高三重慶市鳳鳴山中學(xué)?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0，下列說法正確的是（

）A．SKIPIF1<0定義域?yàn)镾KIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0是偶函數(shù) D．SKIPIF1<0在區(qū)間SKIPIF1<0上有唯一極大值點(diǎn)14．（2023秋·遼寧營(yíng)口·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0的零點(diǎn)為SKIPIF1<0，函數(shù)SKIPIF1<0的零點(diǎn)為SKIPIF1<0，則下列不等式中成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<015．（2023·遼寧阜新·?？寄M預(yù)測(cè)）若SKIPIF1<0，若SKIPIF1<0恒成立，則SKIPIF1<0的值不可以是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<016．（2023春·江蘇南通·高三?？奸_學(xué)考試）若函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)SKIPIF1<0，且SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<017．（2023秋·河北邢臺(tái)·高三統(tǒng)考期末）已知SKIPIF1<0，函數(shù)SKIPIF1<0，下列結(jié)論正確的是（

）A．SKIPIF1<0一定存在最小值B．SKIPIF1<0可能不存在最小值C．若SKIPIF1<0恒成立，則SKIPIF1<0D．若SKIPIF1<0恒成立，則SKIPIF1<018．（2023·山東威?！そy(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SKIPIF1<0，記SKIPIF1<0，若SKIPIF1<0為偶函數(shù)，SKIPIF1<0為奇函數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<019．（2023·山東泰安·統(tǒng)考一模）已知函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)SKIPIF1<0，SKIPIF1<0SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0，SKIPIF1<020．（2023·湖北·宜昌市一中校聯(lián)考模擬預(yù)測(cè)）已知SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<021．（2023春·湖北·高三統(tǒng)考階段練習(xí)）設(shè)定義在SKIPIF1<0上的函數(shù)SKIPIF1<0與SKIPIF1<0的導(dǎo)函數(shù)分別為SKIPIF1<0和SKIPIF1<0，若SKIPIF1<0，且SKIPIF1<0與SKIPIF1<0均為偶函數(shù)，則下列說法中一定正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<022．（2023·湖南·模擬預(yù)測(cè)）函數(shù)SKIPIF1<0（e為自然對(duì)數(shù)的底數(shù)），則下列選項(xiàng)正確的有（

）A．函數(shù)SKIPIF1<0的極大值為1B．函數(shù)SKIPIF1<0的圖象在點(diǎn)SKIPIF1<0處的切線方程為SKIPIF1<0C．當(dāng)SKIPIF1<0時(shí)，方程SKIPIF1<0恰有2個(gè)不等實(shí)根D．當(dāng)SKIPIF1<0時(shí)，方程SKIPIF1<0恰有3個(gè)不等實(shí)根23．（2023·湖南邵陽(yáng)·統(tǒng)考二模）已知函數(shù)SKIPIF1<0，SKIPIF1<0是SKIPIF1<0的導(dǎo)數(shù)，則（

）A．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增B．函數(shù)SKIPIF1<0有唯一極小值C．函數(shù)SKIPIF1<0在SKIPIF1<0上有且只有一個(gè)零點(diǎn)SKIPIF1<0，且SKIPIF1<0D．對(duì)于任意的SKIPIF1<0，SKIPIF1<0，SKIPIF1<0恒成立24．（2023·江蘇南通·校聯(lián)考模擬預(yù)測(cè)）已知O為坐標(biāo)原點(diǎn)，曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線與曲線SKIPIF1<0相切于點(diǎn)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0的最大值為0 D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<025．（2023·吉林·長(zhǎng)春十一高校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，數(shù)列SKIPIF1<0按照如下方式取定：SKIPIF1<0，曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線與經(jīng)過點(diǎn)SKIPIF1<0與點(diǎn)SKIPIF1<0的直線平行，則（

）A．SKIPIF1<0 B．SKIPIF1<0恒成立 C．SKIPIF1<0 D．?dāng)?shù)列SKIPIF1<0為單調(diào)數(shù)列26．（2023春·江蘇鎮(zhèn)江·高三揚(yáng)中市第二高級(jí)中學(xué)?？奸_學(xué)考試）已知直線SKIPIF1<0分別與函數(shù)SKIPIF1<0和SKIPIF1<0的圖象交于點(diǎn)SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<027．（2023秋·重慶·高三統(tǒng)考階段練習(xí)）已知函數(shù)SKIPIF1<0有三個(gè)不同的極值點(diǎn)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0