新高考數(shù)學(xué)一輪復(fù)習(xí)精講精練9.3 利用導(dǎo)數(shù)求極值最值（基礎(chǔ)版）（原卷版）

9.3利用導(dǎo)數(shù)求極值最值（精講）（基礎(chǔ)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)一極值【例1-1】（2022·崇左模擬）函數(shù)SKIPIF1<0的極小值是．【例1-2】（2022·遼陽(yáng)二模）設(shè)函數(shù)SKIPIF1<0，則下列不是函數(shù)SKIPIF1<0極大值點(diǎn)的是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例1-3】（2022·安康模擬）若函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1（2022高三上·襄陽(yáng)期末）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0所有極值點(diǎn)的和為（）A．SKIPIF1<0 B．13π C．17π D．SKIPIF1<02．（2022·昆明模擬）若SKIPIF1<0是函數(shù)SKIPIF1<0的極值點(diǎn)，則SKIPIF1<0的極大值為（）A．-1 B．SKIPIF1<0 C．SKIPIF1<0 D．13（2022·河西模擬）若函數(shù)SKIPIF1<0在SKIPIF1<0處取得極值，則SKIPIF1<0．考點(diǎn)二最值【例2】（2021·浙江）已知函數(shù)SKIPIF1<0，則SKIPIF1<0的最大值是_____，最小值是______．【一隅三反】1．（2021·全國(guó)專題練習(xí)）函數(shù)SKIPIF1<0的最大值為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02（2021·江蘇）已知函數(shù)SKIPIF1<0，則SKIPIF1<0的最小值是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·甘肅蘭州市）函數(shù)SKIPIF1<0的最大值為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)三已知極值最值求參數(shù)【例3-1】（2022·新疆三模）若函數(shù)SKIPIF1<0在SKIPIF1<0處有極值10，則SKIPIF1<0（）A．6 B．-15 C．-6或15 D．6或-15【例3-2】（2022·涼山模擬）函數(shù)SKIPIF1<0，若SKIPIF1<0在SKIPIF1<0上有最小值，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3-3】（2022高三上·開(kāi)封開(kāi)學(xué)考）已知函數(shù)SKIPIF1<0的值域?yàn)镾KIPIF1<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<0【一隅三反】1（2021高三上·江西月考）設(shè)函數(shù)f(x)=x3?3x，x≤a，?2x，x>a，若SKIPIF1<0無(wú)最大值，則實(shí)數(shù)A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022金臺(tái)月考）已知函數(shù)SKIPIF1<0有兩個(gè)極值點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03（2022濰坊期中）若函數(shù)SKIPIF1<0在SKIPIF1<0上無(wú)極值，則實(shí)數(shù)SKIPIF1<0的取值范圍（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2021·全國(guó)高三專題練習(xí)）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在最小值，則SKIPIF1<0的取值范圍是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09.3利用導(dǎo)數(shù)求極值最值（精練）（基礎(chǔ)版）題組一題組一極值1．（2022太原期中）若SKIPIF1<0是函數(shù)SKIPIF1<0的極值點(diǎn)，則函數(shù)（）A．有最小值SKIPIF1<0，無(wú)最大值B．有最大值SKIPIF1<0，無(wú)最小值C．有最小值SKIPIF1<0，最大值SKIPIF1<0D．無(wú)最大值，無(wú)最小值2．（2022湖北期中）已知函數(shù)SKIPIF1<0(SKIPIF1<0且SKIPIF1<0，SKIPIF1<0)的一個(gè)極值點(diǎn)為2，則SKIPIF1<0的最小值為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．73．（2021高三上·三門峽期中）“SKIPIF1<0”是“函數(shù)SKIPIF1<0在SKIPIF1<0上有極值”的（）A．充分不必要條件 B．必要不充分條件C．充要條件 D．既不充分也不必要條件4．（2022·鎮(zhèn)江）已知等差數(shù)列SKIPIF1<0的前SKIPIF1<0項(xiàng)和為SKIPIF1<0，公差SKIPIF1<0，SKIPIF1<0和SKIPIF1<0是函數(shù)SKIPIF1<0的極值點(diǎn)，則SKIPIF1<0（）A．－38 B．38 C．－17 D．17題組二最值題組二最值1．（2022·淮北模擬）函數(shù)SKIPIF1<0的最大值為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．32．（2022高三上·安徽開(kāi)學(xué)考）函數(shù)SKIPIF1<0的值域是．3．（2021·全國(guó)高考真題）函數(shù)SKIPIF1<0的最小值為_(kāi)_____.4．（2021·江西高三二模）已知函數(shù)SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0上的最大值是__________．5（2021·湖南）函數(shù)SKIPIF1<0的最小值為_(kāi)________.6．（2022·西藏）設(shè)函數(shù)SKIPIF1<0，直線SKIPIF1<0是曲線SKIPIF1<0的切線，則SKIPIF1<0的最大值是7．（2021·全國(guó)高三專題練習(xí)（理））已知函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞減，則實(shí)數(shù)SKIPIF1<0的最小值是8．（2021·天津）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在最大值，則實(shí)數(shù)SKIPIF1<0的取值范圍為.題組三題組三已知極值最值求參數(shù)1．（2022·莆田三模）已知函數(shù)SKIPIF1<0的最小值是4．則SKIPIF1<0（）A．3 B．4 C．5 D．62．（2021高三上·湖北期中）若函數(shù)SKIPIF1<0（SKIPIF1<0為常數(shù)）有兩個(gè)不同的極值點(diǎn)，則實(shí)數(shù)SKIPIF1<0取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022湖南）已知f(x)＝SKIPIF1<0x3＋(a－1)x2＋x＋1沒(méi)有極值，則實(shí)數(shù)a的取值范圍是（）A．[0，1] B．(－∞，0]∪[1，＋∞)C．[0，2] D．(－∞，0]∪[2，＋∞)4．（2022遼寧月考）已知函數(shù)SKIPIF1<0在SKIPIF1<0上恰有兩個(gè)極值點(diǎn)，則SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022河南月考）已知函數(shù)SKIPIF1<0（SKIPIF1<0，SKIPIF1<0）存在極大值和極小值，且極大值與極小值互為相反數(shù)，則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2021高三上·邢臺(tái)月考）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0有最小值，則實(shí)數(shù)SKIPI