新高考數(shù)學(xué)一輪復(fù)習(xí)精講精練4.2 利用導(dǎo)數(shù)求單調(diào)性（提升版）（原卷版）

4.2利用導(dǎo)數(shù)求單調(diào)性（精講）（提升版）思維導(dǎo)圖思維導(dǎo)圖考點(diǎn)呈現(xiàn)考點(diǎn)呈現(xiàn)例題剖析例題剖析考點(diǎn)一單調(diào)區(qū)間（無參）【例1-1】（2022·新疆）函數(shù)SKIPIF1<0的減區(qū)間是____________.【例1-2】（2022·廣東·順德一中）設(shè)曲線SKIPIF1<0在SKIPIF1<0上的單調(diào)遞減區(qū)間是______.【例1-3】（江蘇省蘇州實(shí)驗(yàn)中學(xué)）已知函數(shù)f(x)滿足SKIPIF1<0，則f(x)的單調(diào)遞減區(qū)間為（

）A．(-∞,0) B．(1,+∞) C．(-∞,1) D．(0,+∞)【一隅三反】1．函數(shù)f(x)＝x＋2eq\r(1－x)的單調(diào)遞增區(qū)間是()A．(0,1) B．(－∞，1)C．(－∞，0) D．(0，＋∞)2．（皖豫名校聯(lián)盟體2022屆）函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間為__________．3．已知定義在區(qū)間(0，π)上的函數(shù)f(x)＝x＋2cosx，則f(x)的單調(diào)遞增區(qū)間為．考點(diǎn)二已知單調(diào)性求參數(shù)【例2-1】（2022安徽省“皖東縣中聯(lián)盟）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例2-2】（2022.廣東）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上不是單調(diào)函數(shù)，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022福建?。┮阎瘮?shù)SKIPIF1<0在SKIPIF1<0上為單調(diào)遞增函數(shù)，則實(shí)數(shù)m的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（湖南省三湘名校教育聯(lián)盟2022屆）若SKIPIF1<0是R上的減函數(shù)，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（江西省宜春市八校2022屆）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在單調(diào)減區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·寧夏吳忠）已知函數(shù)SKIPIF1<0存在三個(gè)單調(diào)區(qū)間，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)三單調(diào)性的應(yīng)用之解不等式【例3】（湖南省多所學(xué)校2022屆）已知SKIPIF1<0，則SKIPIF1<0的解集是（

）A．SKIPIF1<0 B．SKIPIF1<0或SKIPIF1<0C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<0【一隅三反】1．（陜西省西安地區(qū)八校2022屆）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（湖北省2022屆）已知函數(shù)SKIPIF1<0，不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．若函數(shù)f(x)＝lnx＋ex－sinx，則不等式f(x－1)≤f(1)的解集為．4．已知函數(shù)f(x)＝xsinx＋cosx＋x2，則不等式f(lnx)＋f

eq\b\lc\(\rc\)(\a\vs4\al\co1(ln\f(1,x)))<2f(1)的解集為．考點(diǎn)四單調(diào)性應(yīng)用之比較大小【例4-1】（華大新高考聯(lián)盟名校2022屆）已知實(shí)數(shù)a，b，SKIPIF1<0，e為自然對(duì)數(shù)的底數(shù)，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【例4-2】（湖南師范大學(xué)附中2022屆）下列兩數(shù)的大小關(guān)系中正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022年全國新高考I卷數(shù)學(xué)試題）設(shè)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（山東省青州市2022屆）設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（江西省萍鄉(xiāng)市2022屆）設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（湖北省二十一所重點(diǎn)中學(xué)2022屆）已知SKIPIF1<0是自然對(duì)數(shù)的底數(shù)，設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，下列說法正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)五含參函數(shù)的單調(diào)性討論【例5-1】（2022廣西節(jié)選）已知函數(shù)SKIPIF1<0，討論SKIPIF1<0的單調(diào)性；【例5-2】（2022安徽）已知函數(shù)SKIPIF1<0，討論f（x）的單調(diào)性；【例5-3】（安徽省江淮名校2022屆）已知函數(shù)SKIPIF1<0，討論SKIPIF1<0的單調(diào)性；【例5-4】（2022遼寧省沈陽市第二中學(xué)）已知函數(shù)SKIPIF1<0，討論SKIPIF1<0的單調(diào)性；【一隅三反】1．（2022貴州省貴陽市五校）已知SKIPIF1<0，函數(shù)SKIPIF1<0，討論SKIPIF1<0的單調(diào)性；2．（2022陜西?。┮阎瘮?shù)SKIPIF1<0．討論函數(shù)SKIPIF1<0的單調(diào)性；3．（重慶市第八中學(xué)校2022屆高三下學(xué)期適應(yīng)性月考（七）數(shù)學(xué)試題）已知SKIPIF1<0，討論SKIPIF1<0的單調(diào)性；4．（2022江蘇?。┮阎瘮?shù)SKIPIF1<0，函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0．討論函數(shù)SKIPIF1<0的單調(diào)性；4.2利用導(dǎo)數(shù)求單調(diào)性（精練）（提升版）題組一題組一單調(diào)區(qū)間1．（2022·天津·崇化中學(xué)）函數(shù)SKIPIF1<0的遞增區(qū)間是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0，SKIPIF1<0 D．SKIPIF1<02．（2022·四川省成都市新都一中）已知函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，SKIPIF1<0，則函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0，SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·北京·首都師范大學(xué)附屬中學(xué)三模）下列函數(shù)中，既是偶函數(shù)又在SKIPIF1<0上單調(diào)遞減的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·黑龍江·哈師大附中高二期中）函數(shù)SKIPIF1<0，SKIPIF1<0的增區(qū)間為___________.5．（2022·四川·射洪中學(xué)）函數(shù)SKIPIF1<0的單調(diào)增區(qū)間為______．題組二題組二已知單調(diào)性求參數(shù)1．（2022·浙江寧波）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·廣東東莞）若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)a的取值范圍是（）A．（-1，1） B．SKIPIF1<0 C．（-1，+∞） D．（-1，0）3．（2022·天津一中）已知函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間是SKIPIF1<0，則SKIPIF1<0（

）A．3 B．SKIPIF1<0 C．2 D．SKIPIF1<04．（2022·山東聊城）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05（2022·福建寧德）若函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2022·黑龍江·齊齊哈爾市第八中學(xué)校）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)存在單調(diào)遞增區(qū)間，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2022·河北唐山）已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0單調(diào)遞增，a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2022·河南·南陽中學(xué)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（2022·福建泉州·高二期中）已知函數(shù)SKIPIF1<0為減函數(shù)，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（2022·山東濰坊·高二階段練習(xí)）已知函數(shù)SKIPIF1<0在R上單調(diào)遞增，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0題組三題組三單調(diào)性的應(yīng)用之解不等式1．（2022·陜西·西北工業(yè)大學(xué)附屬中學(xué)模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2022·河北唐山·三模）已知函數(shù)SKIPIF1<0則使不等式SKIPIF1<0成立的實(shí)數(shù)x的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·湖北·房縣第一中學(xué)模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·甘肅·蘭州一中）已知SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2022·河南）已知SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022·湖南·邵陽市第二中學(xué)模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，若不等式SKIPIF1<0對(duì)SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍______．題組四題組四單調(diào)性應(yīng)用之比較大小1．（貴州省畢節(jié)市2022屆）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0（SKIPIF1<0為自然對(duì)數(shù)的底數(shù)），則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（廣西貴港市高級(jí)中學(xué)2022屆）已知SKIPIF1<0，則下列結(jié)論正確的是（

）A．b＞c＞a B．a(chǎn)＞b＞cC．b＞a＞c D．c＞b＞a3．（河北省邯鄲市2022屆）已知函數(shù)SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）.A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（江西師范大學(xué)附屬中學(xué)2022屆）設(shè)SKIPIF1<0．則a，b，c大小關(guān)系是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022屆高三下學(xué)期臨考沖刺原創(chuàng)卷（三）數(shù)學(xué)試題）已知SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（江蘇省蘇州市2022屆）已知SKIPIF1<0，則SKIPIF1<0的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（新疆烏魯木齊地區(qū)2022屆）設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（新疆烏魯木齊地區(qū)2022屆）設(shè)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．（河南省鄭州市2022屆）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則它們的大小關(guān)系正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（陜西省西安中學(xué)2022屆）已知SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（湖北省省級(jí)示范高中2022屆）已知：SKIPIF1<0，SKIPI