2021-2023年高考數(shù)學(xué)真題分類(lèi)匯編專(zhuān)題03 導(dǎo)數(shù)及其應(yīng)用(選擇題、填空題)(文)(原卷版)_第1頁(yè)
2021-2023年高考數(shù)學(xué)真題分類(lèi)匯編專(zhuān)題03 導(dǎo)數(shù)及其應(yīng)用(選擇題、填空題)(文)(原卷版)_第2頁(yè)
2021-2023年高考數(shù)學(xué)真題分類(lèi)匯編專(zhuān)題03 導(dǎo)數(shù)及其應(yīng)用(選擇題、填空題)(文)(原卷版)_第3頁(yè)
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專(zhuān)題03導(dǎo)數(shù)及其應(yīng)用(選擇題、填空題)(文)知識(shí)點(diǎn)目錄知識(shí)點(diǎn)1:切線問(wèn)題知識(shí)點(diǎn)2:?jiǎn)握{(diào)性、極最值問(wèn)題知識(shí)點(diǎn)3:比較大小問(wèn)題近三年高考真題知識(shí)點(diǎn)1:切線問(wèn)題1.(2023?甲卷(文))曲線SKIPIF1<0在點(diǎn)SKIPIF1<0處的切線方程為SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2021?新高考Ⅰ)若過(guò)點(diǎn)SKIPIF1<0可以作曲線SKIPIF1<0的兩條切線,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2022?新高考Ⅰ)若曲線SKIPIF1<0有兩條過(guò)坐標(biāo)原點(diǎn)的切線,則SKIPIF1<0的取值范圍是.4.(2022?新高考Ⅱ)曲線SKIPIF1<0過(guò)坐標(biāo)原點(diǎn)的兩條切線的方程為.知識(shí)點(diǎn)2:?jiǎn)握{(diào)性、極最值問(wèn)題5.(2023?新高考Ⅱ)已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞增,則SKIPIF1<0的最小值為SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.(2023?乙卷(文))函數(shù)SKIPIF1<0存在3個(gè)零點(diǎn),則SKIPIF1<0的取值范圍是SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<07.(2022?乙卷(文))函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0,SKIPIF1<0的最小值、最大值分別為SKIPIF1<0SKIPIF1<0A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0 C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<08.(2022?甲卷(文))當(dāng)SKIPIF1<0時(shí),函數(shù)SKIPIF1<0取得最大值SKIPIF1<0,則SKIPIF1<0(2)SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.19.(2021?乙卷(文))設(shè)SKIPIF1<0,若SKIPIF1<0為函數(shù)SKIPIF1<0的極大值點(diǎn),則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<010.(多選題)(2023?新高考Ⅱ)若函數(shù)SKIPIF1<0既有極大值也有極小值,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<011.(多選題)(2022?新高考Ⅰ)已知函數(shù)SKIPIF1<0,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0有兩個(gè)極值點(diǎn) B.SKIPIF1<0有三個(gè)零點(diǎn) C.點(diǎn)SKIPIF1<0是曲線SKIPIF1<0的對(duì)稱(chēng)中心 D.直線SKIPIF1<0是曲線SKIPIF1<0的切線知識(shí)點(diǎn)3:比較大小問(wèn)題12.(2022?天津)已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<013.(2022?甲卷(文))已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<014.(2022?新高考Ⅰ)設(shè)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<015.(2023?甲卷(文))已知函數(shù)SKIPIF1<0.記SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<016.(2021?天津)設(shè)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則三者大小關(guān)系為SKIPIF1<0SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<017.(2021?新高考Ⅱ)已知SKIPIF1<0,SKIPIF1

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