新高考數(shù)學(xué)一輪復(fù)習(xí)提升訓(xùn)練3.6 零點(diǎn)定理（精講）（原卷版）

3.6零點(diǎn)定理（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)一零點(diǎn)的區(qū)間【例1】（2022·河南開(kāi)封·）函數(shù)SKIPIF1<0的一個(gè)零點(diǎn)所在的區(qū)間是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·湖南）函數(shù)SKIPIF1<0的零點(diǎn)所在區(qū)間是（

）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<02．（2022·四川攀枝花）已知函數(shù)SKIPIF1<0的零點(diǎn)在區(qū)間SKIPIF1<0上，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·云南德宏）方程SKIPIF1<0的解所在的區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)二零點(diǎn)的個(gè)數(shù)【例2-1】（2022·陜西）函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為（

）A．0 B．1 C．2 D．3【例2-2】（2022·山西）已知SKIPIF1<0若SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0內(nèi)的零點(diǎn)個(gè)數(shù)為（

）A．8 B．9 C．10 D．11【一隅三反】1．（2022·安徽）已知函數(shù)SKIPIF1<0則方程SKIPIF1<0的解的個(gè)數(shù)是（

）A．0 B．1 C．2 D．32．（2022·全國(guó)·高三專(zhuān)題練習(xí)）函數(shù)SKIPIF1<0的圖像與函數(shù)SKIPIF1<0的圖像的交點(diǎn)個(gè)數(shù)為（

）A．2 B．3 C．4 D．03．（2022·海南省）設(shè)函數(shù)SKIPIF1<0定義域?yàn)镽，SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則函數(shù)SKIPIF1<0有（

）個(gè)零點(diǎn)A．4 B．5 C．6 D．7考點(diǎn)三比較零點(diǎn)的大小【例3】（2022·安徽）已知函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的零點(diǎn)分別為a，b，c則a，b，c的大小順序?yàn)椋?/p>

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·河南）若實(shí)數(shù)SKIPIF1<0滿足SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2022·安徽）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·山西）正實(shí)數(shù)SKIPIF1<0滿足SKIPIF1<0，則實(shí)數(shù)SKIPIF1<0之間的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)四已知零點(diǎn)求參數(shù)【例4-1】（2022·山東濰坊）已知函數(shù)SKIPIF1<0的圖像與直線SKIPIF1<0有3個(gè)不同的交點(diǎn)，則實(shí)數(shù)m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例4-2】（2022·吉林）已知SKIPIF1<0若關(guān)于x的方程SKIPIF1<0有3個(gè)不同實(shí)根，則實(shí)數(shù)SKIPIF1<0取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例4-3】（2022·安徽·合肥市）已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有且僅有4個(gè)零點(diǎn)，則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．（2022·全國(guó)·高三專(zhuān)題練習(xí)）已知函數(shù)SKIPIF1<0若關(guān)于x的方程SKIPIF1<0恰有三個(gè)不相等的實(shí)數(shù)解，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2022·河南·模擬預(yù)測(cè)（理））已知函數(shù)SKIPIF1<0為定義在SKIPIF1<0上的單調(diào)函數(shù)，且SKIPIF1<0．若函數(shù)SKIPIF1<0有3個(gè)零點(diǎn)，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·廣西·貴港市高級(jí)中學(xué)三模）已知SKIPIF1<0在SKIPIF1<0有且僅有6個(gè)實(shí)數(shù)根，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·山西）已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0恰好有兩個(gè)零點(diǎn)，則實(shí)數(shù)k的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)五零點(diǎn)的綜合運(yùn)用【例5-1】（2022·新疆克拉瑪依）函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的所有零點(diǎn)之和為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【例5-2】（2022·甘肅）若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有2個(gè)零點(diǎn)SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例5-3】（2022·全國(guó)·高三專(zhuān)題練習(xí)）已知函數(shù)SKIPIF1<0的零點(diǎn)為SKIPIF1<0，函數(shù)SKIPIF1<0的零點(diǎn)為SKIPIF1<0，則下列不等式中成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·安徽·合肥一六八中學(xué)）若SKIPIF1<0為奇函數(shù)，且SKIPIF1<0是SKIPIF1<0的一個(gè)零點(diǎn)，則SKIPIF1<0一定是下列哪個(gè)函數(shù)的零點(diǎn)（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0