新高考數(shù)學(xué)一輪復(fù)習(xí) 講與練第12練 導(dǎo)數(shù)的綜合問(wèn)題（原卷版）

第12練導(dǎo)數(shù)的綜合問(wèn)題學(xué)校____________姓名____________班級(jí)____________一、單選題1．若不等式SKIPIF1<0對(duì)任意實(shí)數(shù)x都成立，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．函數(shù)在區(qū)間(0,1)內(nèi)的零點(diǎn)個(gè)數(shù)是A．0 B．1 C．2 D．33．已知函數(shù)SKIPIF1<0，若方程SKIPIF1<0有兩個(gè)不相等的實(shí)數(shù)根，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．若關(guān)于x的不等式SKIPIF1<0在SKIPIF1<0上恒成立，則實(shí)數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0在SKIPIF1<0上有零點(diǎn)，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．若存在SKIPIF1<0，使得不等式SKIPIF1<0成立，則實(shí)數(shù)k的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0若關(guān)于x的方程SKIPIF1<0有三個(gè)實(shí)數(shù)解，則實(shí)數(shù)m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．若函數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0恒成立，則SKIPIF1<0的取值范圍（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題9．已知函數(shù)SKIPIF1<0，滿足對(duì)任意的SKIPIF1<0，SKIPIF1<0恒成立，則實(shí)數(shù)a的取值可以是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．已知函數(shù)SKIPIF1<0在區(qū)間（1，＋∞）內(nèi)沒(méi)有零點(diǎn)，則實(shí)數(shù)a的取值可以為（

）A．－1 B．2 C．3 D．411．若存在正實(shí)數(shù)x，y，使得等式SKIPIF1<0成立，其中e為自然對(duì)數(shù)的底數(shù)，則a的取值可能是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．212．已知函數(shù)SKIPIF1<0（SKIPIF1<0，SKIPIF1<0且SKIPIF1<0），則（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0恒成立B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0有且僅有一個(gè)零點(diǎn)C．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0有兩個(gè)零點(diǎn)D．存在SKIPIF1<0，使得SKIPIF1<0存在三個(gè)極值點(diǎn)三、填空題13．已知SKIPIF1<0是SKIPIF1<0上的偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，且SKIPIF1<0對(duì)SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是___________.14．已知函數(shù)SKIPIF1<0兩個(gè)不同的零點(diǎn)，則實(shí)數(shù)a的取值范圍是___________.15．已知函數(shù)SKIPIF1<0，SKIPIF1<0，若函數(shù)SKIPIF1<0只有唯一零點(diǎn)，則實(shí)數(shù)a的取值范圍是________.16．已知函數(shù)SKIPIF1<0，若對(duì)任意正數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，都有SKIPIF1<0成立，則實(shí)數(shù)m的取值范圍是______．四、解答題17．已知函數(shù)SKIPIF1<0．（1）討論函數(shù)的單調(diào)性；（2）若對(duì)任意的SKIPIF1<0，都有SKIPIF1<0成立，求SKIPIF1<0的取值范圍．18．已知函數(shù)SKIPIF1<0．（1）若SKIPIF1<0，求函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值；（2）若函數(shù)SKIPIF1<0有三個(gè)零點(diǎn)，求實(shí)數(shù)SKIPIF1<0的取值范圍．19．已知函數(shù)SKIPIF1<0.(1)若SKIPIF1