素養(yǎng)拓展05嵌套函數(shù)的零點(diǎn)問題（精講+精練）一、知識(shí)點(diǎn)梳理一、知識(shí)點(diǎn)梳理1.嵌套函數(shù)形式：形如f2.解決嵌套函數(shù)零點(diǎn)個(gè)數(shù)的一般步驟(1)換元解套，轉(zhuǎn)化為t＝g(x)與y＝f(t)的零點(diǎn)．(2)依次解方程，令f(t)＝0，求t，代入t＝g(x)求出x的值或判斷圖象交點(diǎn)個(gè)數(shù)．注：抓住兩點(diǎn)：(1)轉(zhuǎn)化換元；(2)充分利用函數(shù)的圖象與性質(zhì)．二、題型精講精練二、題型精講精練【典例1】已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)是（

）A．4 B．5 C．6 D．7【題型訓(xùn)練】一、單選題1．已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0零點(diǎn)個(gè)數(shù)最多是（

）A．10 B．12 C．14 D．162．函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為（

）A．2 B．3 C．4 D．53．已知函數(shù)SKIPIF1<0，則方程SKIPIF1<0的實(shí)數(shù)解的個(gè)數(shù)至多是（

）A．5 B．6 C．7 D．84．已知函數(shù)SKIPIF1<0，若方程SKIPIF1<0的所有實(shí)根之和為4，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0恰有兩個(gè)零點(diǎn)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0有兩個(gè)零點(diǎn)，則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0（SKIPIF1<0為自然對(duì)數(shù)的底數(shù)），則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為（

）A．3 B．5 C．7 D．99．已知函數(shù)SKIPIF1<0，函數(shù)SKIPIF1<0恰有5個(gè)零點(diǎn)，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題10．已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的所有零點(diǎn)之和為___________．11．已知函數(shù)SKIPIF1<0則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為___________．12．已知SKIPIF1<0，SKIPIF1<0為三次函數(shù)，其圖象如圖所示.若SKIPIF1<0有9個(gè)零點(diǎn)，則SKIPIF1<0的取值范圍是___________.13．已知函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0恰有三個(gè)實(shí)數(shù)解，則實(shí)數(shù)