新高考數(shù)學一輪復習 專項分層精練第13 課 導數(shù)與函數(shù)的單調性（原卷版）

第13課導數(shù)與函數(shù)的單調性（分層專項精練）【一層練基礎】一、單選題1．（2023春·廣東東莞·高二東莞實驗中學?？茧A段練習）對任意的SKIPIF1<0，當SKIPIF1<0時，SKIPIF1<0恒成立，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023·全國·高三專題練習）已知SKIPIF1<0是定義在R上的偶函數(shù)，當SKIPIF1<0時，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·河南開封·高二?？计谥校┤艉瘮?shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調遞增，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023春·重慶北碚·高三西南大學附中?？计谥校┮阎瘮?shù)SKIPIF1<0為偶函數(shù)，定義域為R，當SKIPIF1<0時，SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題5．（2023·廣東汕頭·統(tǒng)考三模）設函數(shù)SKIPIF1<0的導函數(shù)為SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0是函數(shù)SKIPIF1<0的極值點C．SKIPIF1<0存在兩個零點 D．SKIPIF1<0在(1，+∞)上單調遞增6．（2023·全國·高三專題練習）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0在SKIPIF1<0單調遞增B．SKIPIF1<0有兩個零點C．曲線SKIPIF1<0在點SKIPIF1<0處切線的斜率為SKIPIF1<0D．SKIPIF1<0是奇函數(shù)三、填空題7．（2023春·河北石家莊·高二河北新樂市第一中學校考階段練習）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集是.8．（2023·安徽宣城·統(tǒng)考二模）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集是．9．（2023秋·寧夏銀川·高三銀川一中?？茧A段練習）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為．四、解答題10．（2023·福建泉州·統(tǒng)考模擬預測）已知函數(shù)SKIPIF1<0.(1)當SKIPIF1<0時，求曲線SKIPIF1<0在SKIPIF1<0處的切線方程；(2)討論SKIPIF1<0的單調性.【二層練綜合】一、單選題1．（2023·江蘇無錫·?？寄M預測）已知SKIPIF1<0且SKIPIF1<0且SKIPIF1<0且SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題2．（2023春·江蘇南京·高三江蘇省江浦高級中學校考階段練習）已知函數(shù)SKIPIF1<0，下列命題正確的是（

）A．若SKIPIF1<0是函數(shù)SKIPIF1<0的極值點，則SKIPIF1<0B．若SKIPIF1<0是函數(shù)SKIPIF1<0的極值點，則SKIPIF1<0在SKIPIF1<0上的最小值為SKIPIF1<0C．若SKIPIF1<0在SKIPIF1<0上單調遞減，則SKIPIF1<0D．若SKIPIF1<0在SKIPIF1<0上恒成立，則SKIPIF1<0三、填空題3．（2023春·貴州黔西·高二校考期中）過點SKIPIF1<0與曲線SKIPIF1<0相切的直線方程為．四、解答題4．（2023·西藏日喀則·統(tǒng)考一模）已知函數(shù)SKIPIF1<0.(1)討論SKIPIF1<0的單調性；(2)當SKIPIF1<0，證明：SKIPIF1<0.【三層練能力】一、單選題1．（2023·全國·高三專題練習）已知SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則下列關系式恒成立的為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023·全國·高二專題練習）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足SKIPIF1<0為SKIPIF1<0的導函數(shù)，當SKIPIF1<0