第一篇熱點、難點突破篇專題04導數的基本應用（練）【對點演練】一、單選題1．（2022·貴州·凱里一中高三階段練習（文））曲線SKIPIF1<0在SKIPIF1<0點處的切線方程是SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．2 C．SKIPIF1<0 D．SKIPIF1<02．（2022·新疆·伊寧縣第二中學高三期中（文））設函數SKIPIF1<0的導函數為SKIPIF1<0，且函數SKIPIF1<0的部分圖像如圖所示，則（

）A．函數SKIPIF1<0在SKIPIF1<0上單調遞增 B．函數SKIPIF1<0在SKIPIF1<0處取得極大值C．函數SKIPIF1<0在SKIPIF1<0處取得極小值 D．函數SKIPIF1<0在SKIPIF1<0上單調遞增3．（2022·湖北·棗陽一中高三期中）已知函數SKIPIF1<0的圖像在SKIPIF1<0處的切線過點SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．2 C．3 D．44．（2022·浙江·嘉興一中高三期中）若函數SKIPIF1<0在SKIPIF1<0處取得極值2，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．0 D．25．（2020·河南·高三階段練習（文））函數SKIPIF1<0在區間SKIPIF1<0上的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023·廣西·模擬預測（文））已知函數SKIPIF1<0存在最大值0，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．1 D．SKIPIF1<0二、多選題7．（2022·遼寧葫蘆島·高三階段練習）已知函數SKIPIF1<0有兩個極值點SKIPIF1<0,SKIPIF1<0,則(

)A．SKIPIF1<0是SKIPIF1<0的極小值點 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．（2022·江蘇蘇州·高三期中）已知函數SKIPIF1<0的圖象關于直線SKIPIF1<0對稱，則（

）A．SKIPIF1<0 B．SKIPIF1<0的最小值是SKIPIF1<0C．SKIPIF1<0圖象與直線SKIPIF1<0相切 D．SKIPIF1<0圖象與直線SKIPIF1<0相切三、填空題9.（2022·黑龍江·哈爾濱七十三中高三階段練習）函數SKIPIF1<0的圖象在點SKIPIF1<0處的切線方程為_________.10．（2022·山東煙臺·高三期中）若函數SKIPIF1<0，則SKIPIF1<0的最小值是______．【沖刺提升】一、單選題1．（2022·河南·模擬預測（理））如圖是函數SKIPIF1<0的圖象，則函數SKIPIF1<0的解析式可以為（

）．A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2007·陜西·高考真題（理））SKIPIF1<0是定義在SKIPIF1<0上的非負可導函數，且滿足SKIPIF1<0．對任意正數a，b，若SKIPIF1<0，則必有（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·湖北·高三期中）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·貴州·貴陽一中高三階段練習（文））在給出的①SKIPIF1<0；②SKIPIF1<0；③SKIPIF1<0三個不等式中，正確的個數為（

）A．0個 B．1個 C．2個 D．3個5．（2022·浙江·模擬預測）已知函數SKIPIF1<0，對于任意的SKIPIF1<0、SKIPIF1<0，當SKIPIF1<0時，總有SKIPIF1<0成立，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題6．（2022·江蘇連云港·高三期中）已知曲線SKIPIF1<0在點SKIPIF1<0處的切線為SKIPIF1<0，則（

）A．當SKIPIF1<0時，SKIPIF1<0的極大值為SKIPIF1<0B．若SKIPIF1<0，SKIPIF1<0的斜率為2，則SKIPIF1<0C．若SKIPIF1<0在SKIPIF1<0上單調遞增，則SKIPIF1<0D．若存在過點P的直線SKIPIF1<0與曲線SKIPIF1<0相切于點SKIPIF1<0，則SKIPIF1<07．（2022·山東·青島超銀高級中學高三階段練習）已知SKIPIF1<0，則（

）A．設SKIPIF1<0是SKIPIF1<0圖象上的任意一點，SKIPIF1<0是SKIPIF1<0圖象上任一點，則SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0與SKIPIF1<0的圖象有且僅有兩條公切線D．SKIPIF1<0是增函數三、填空題8．（2022·江蘇泰州·高三期中）若曲線SKIPIF1<0在點SKIPIF1<0SKIPIF1<0處的切線也是曲線SKIPIF1<0的切線，則SKIPIF1<0的最小值為_____．9．（2022·遼寧·沈陽市第四十中學高三期中）已知等比數列SKIPIF1<0的公比SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0是函數SKIPIF1<0的極值點，則SKIPIF1<0______．10．（2022·北京大興·高三期中）已知函數SKIPIF1<0若SKIPIF1<0的值域為R，則a的一個取值為____________；若SKIPIF1<0是R上的增函數，則實數a的取值范圍是____________．四、解答題11．（2022·北京·北師大二附中高三期中）已知函數SKIPIF1<0的圖象過點SKIPIF1<0，且在點P處的切線恰好與直線SKIPIF1<0垂直．(1)求函數SKIPIF1<0的解析式；(2)