新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項(xiàng)重難點(diǎn)突破專題21 函數(shù)嵌套問題(原卷版)

專題21函數(shù)嵌套問題一、單選題1．已知函數(shù)SKIPIF1<0，則關(guān)于SKIPIF1<0的方程SKIPIF1<0實(shí)數(shù)解的個數(shù)為（

）A．4 B．5 C．3 D．22．已知函數(shù)SKIPIF1<0則函數(shù)SKIPIF1<0的零點(diǎn)個數(shù)是（

）A．2 B．3 C．4 D．53．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0有6個不同的零點(diǎn)，且最小的零點(diǎn)為SKIPIF1<0，則SKIPIF1<0（

）A．6 B．SKIPIF1<0 C．2 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0零點(diǎn)個數(shù)最多是（

）A．10 B．12 C．14 D．165．已知函數(shù)SKIPIF1<0，函數(shù)SKIPIF1<0恰有5個零點(diǎn)，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0（SKIPIF1<0為自然對數(shù)的底數(shù)），則函數(shù)SKIPIF1<0的零點(diǎn)個數(shù)為（

）A．3 B．5 C．7 D．97．已知函數(shù)SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，當(dāng)SKIPIF1<0時，SKIPIF1<0.若關(guān)于x的方程SKIPIF1<0有且僅有兩個不相等的實(shí)數(shù)解則實(shí)數(shù)m的取值范圍是（

）A．SKIPIF1<0B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0有6個不同的零點(diǎn)，且最小的零點(diǎn)為SKIPIF1<0，則SKIPIF1<0（

）．A．6 B．SKIPIF1<0 C．2 D．SKIPIF1<09．已知函數(shù)SKIPIF1<0，關(guān)于SKIPIF1<0的方程SKIPIF1<0有SKIPIF1<0個不等實(shí)數(shù)根，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．函數(shù)SKIPIF1<0，若關(guān)于x的方程SKIPIF1<0恰有5個不同的實(shí)數(shù)根，則實(shí)數(shù)m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0恰有5個零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0是偶函數(shù)，當(dāng)SKIPIF1<0時，SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有且僅有SKIPIF1<0個不同實(shí)數(shù)根，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題13．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0恰好有4個不同的零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值可以是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．0 D．214．已知函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的不等式SKIPIF1<0恰有1個整數(shù)解，則實(shí)數(shù)SKIPIF1<0的取值可以為（

）A．-2 B．3 C．5 D．815．已知函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0至少有8個不等的實(shí)根，則實(shí)數(shù)SKIPIF1<0的取值不可能為（

）A．-1 B．0 C．1 D．216．已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0有4個零點(diǎn)，則SKIPIF1<0的取值可能是（

）A．SKIPIF1<0 B．-1 C．0 D．217．已知函數(shù)SKIPIF1<0，若關(guān)于x的方程SKIPIF1<0有5個不同的實(shí)根，則實(shí)數(shù)a的取值可以為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<018．已知函數(shù)SKIPIF1<0，其中e是自然對數(shù)的底數(shù)，記SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0有唯一零點(diǎn)B．方程SKIPIF1<0有兩個不相等的根C．當(dāng)SKIPIF1<0有且只有3個零點(diǎn)時，SKIPIF1<0D．SKIPIF1<0時，SKIPIF1<0有4個零點(diǎn)三、填空題19．設(shè)函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0恰好有4個不相等的實(shí)數(shù)解，則實(shí)數(shù)m的取值范圍是________．20．已知函數(shù)SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，當(dāng)SKIPIF1<0時，SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有且僅有兩個不相等的實(shí)數(shù)解，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.21．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0有2個不同的零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍是____.22．已知函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有兩個不同的實(shí)數(shù)根時，實(shí)數(shù)a的取值范圍是______.23．已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0有SKIPIF1<0個零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為____________．24．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若函數(shù)SKIPIF1<0至少有4個不同的零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍是______.四、解答題25．已知函數(shù)SKIPIF1<0，SKIPIF1<0．(1)若SKIPIF1<0，求函數(shù)SKIPIF1<0在SKIPIF1<0，SKIPIF1<0的值域；(2)令SKIPIF1<0，則SKIPIF1<0，已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0有零點(diǎn)，求實(shí)數(shù)SKIPIF1<0的取值范圍．26．已知二次函數(shù)SKIPIF1<0的圖象經(jīng)過原點(diǎn)，對稱軸為直線SKIPIF1<0，方程SKIPIF1<0