新高考數(shù)學(xué)一輪復(fù)習(xí)講練測第3章第02講 單調(diào)性問題（練習(xí)）（原卷版）

第02講單調(diào)性問題（模擬精練+真題演練）1．（2023·全國·模擬預(yù)測）已知冪函數(shù)SKIPIF1<0，若SKIPIF1<0，則下列說法正確的是（

）A．函數(shù)SKIPIF1<0為奇函數(shù) B．函數(shù)SKIPIF1<0為偶函數(shù)C．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增 D．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減2．（2023·江西鷹潭·貴溪市實(shí)驗(yàn)中學(xué)校考模擬預(yù)測）函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2023·廣西玉林·統(tǒng)考模擬預(yù)測）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023·甘肅蘭州·校考一模）已知SKIPIF1<0是偶函數(shù)，在(－∞，0)上滿足SKIPIF1<0恒成立，則下列不等式成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2023·全國·模擬預(yù)測）已知SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，其中SKIPIF1<0是自然對數(shù)的底數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023·江蘇南京·南京師大附中?？寄M預(yù)測）已知實(shí)數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0，其中SKIPIF1<0是自然對數(shù)的底數(shù)，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·寧夏銀川·校聯(lián)考二模）已知SKIPIF1<0，SKIPIF1<0，對SKIPIF1<0，且SKIPIF1<0，恒有SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023·四川南充·統(tǒng)考三模）已知函數(shù)SKIPIF1<0使SKIPIF1<0（SKIPIF1<0為常數(shù)）成立，則常數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（多選題）（2023·山東濰坊·統(tǒng)考模擬預(yù)測）下列函數(shù)中，在其定義域內(nèi)既是奇函數(shù)又是增函數(shù)的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（多選題）（2023·安徽淮北·統(tǒng)考一模）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0在SKIPIF1<0單調(diào)遞增B．SKIPIF1<0有兩個(gè)零點(diǎn)C．曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處切線的斜率為SKIPIF1<0D．SKIPIF1<0是奇函數(shù)11．（多選題）（2023·河北·統(tǒng)考模擬預(yù)測）十六世紀(jì)中葉，英國數(shù)學(xué)家雷科德在《礪智石》一書中首先把“=”作為等號使用，后來英國數(shù)學(xué)家哈里奧特首次使用“<”和“>”符號，不等號的引入對不等式的發(fā)展影響深遠(yuǎn)．若SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．（多選題）（2023·浙江金華·統(tǒng)考模擬預(yù)測）當(dāng)SKIPIF1<0且SKIPIF1<0時(shí)，不等式SKIPIF1<0恒成立，則自然數(shù)SKIPIF1<0可能為（

）A．0 B．2 C．8 D．1213．（2023·內(nèi)蒙古赤峰·校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0，則SKIPIF1<0的單調(diào)遞減區(qū)間為______.14．（2023·四川雅安·統(tǒng)考模擬預(yù)測）給出兩個(gè)條件：①SKIPIF1<0，SKIPIF1<0；②當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0（其中SKIPIF1<0為SKIPIF1<0的導(dǎo)函數(shù)）．請寫出同時(shí)滿足以上兩個(gè)條件的一個(gè)函數(shù)______．（寫出一個(gè)滿足條件的函數(shù)即可）15．（2023·四川·石室中學(xué)校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為______________．16．（2023·寧夏銀川·銀川一中校考三模）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不單調(diào)，則實(shí)數(shù)SKIPIF1<0的取值范圍為________．17．（2023·天津河西·天津市新華中學(xué)校考模擬預(yù)測）已知函數(shù)SKIPIF1<0.若函數(shù)SKIPIF1<0為增函數(shù)，求SKIPIF1<0的取值范圍；18．（2023·四川·校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0若SKIPIF1<0單調(diào)遞增，求a的值；19．（2023·貴州貴陽·校聯(lián)考模擬預(yù)測）實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0．(1)若SKIPIF1<0恒成立，求實(shí)數(shù)SKIPIF1<0的取值范圍；(2)討論SKIPIF1<0的單調(diào)性并寫出過程．20．（2023·河南·模擬預(yù)測）已知函數(shù)SKIPIF1<0，SKIPIF1<0．求SKIPIF1<0的單調(diào)區(qū)間；21．（2023·湖南·鉛山縣第一中學(xué)校聯(lián)考二模）已知函數(shù)SKIPIF1<0，其中SKIPIF1<0是自然對數(shù)的底數(shù).當(dāng)SKIPIF1<0時(shí)，討論函數(shù)SKIPIF1<0的單調(diào)性；22．（2023·全國·模擬預(yù)測）已知函數(shù)SKIPIF1<0，SKIPIF1<0．(1)當(dāng)SKIPIF1<0時(shí)，討論函數(shù)SKIPIF1<0的單調(diào)性；(2)若函數(shù)SKIPIF1<0在SKIPIF1<0上不單調(diào)，求實(shí)數(shù)a的取值范圍．1．（2022·全國·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0．(1)當(dāng)SKIPIF1<0時(shí)，討論SKIPIF1<0的單調(diào)性；(1)求曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程；(2)設(shè)SKIPIF1<0，討論函數(shù)SKIPIF1<0在SKIPIF1<0上的單調(diào)性；3．（2022·浙江·統(tǒng)考高考真題）設(shè)函數(shù)SKIPIF1<0．求SKIPIF1<0的單調(diào)區(qū)間；4．（2021·全國·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0．討論SKIPIF1<0的單調(diào)性；5．（2021·北京·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0．（1）若SKIPIF1<0，求曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程；（2）若SKIPIF1<0在SKIPIF1<0處取得極值，求SKIPIF1<0的單調(diào)區(qū)間，以及其最大值與最小值．6．（2021·浙江·統(tǒng)考高考真題）設(shè)a，b為實(shí)數(shù)，且SKIPIF1<0，函數(shù)SKIPIF1<0求函數(shù)SKIPIF1<0的單調(diào)區(qū)間；7．（2021·全國·高考真題）設(shè)函數(shù)SKIPIF1<0，其中SKIPIF1<0