新高考數(shù)學(xué)二輪復(fù)習(xí) 小題綜合練專題11 函數(shù)與導(dǎo)數(shù)（原卷版）

專題11函數(shù)與導(dǎo)數(shù)小題綜合一、單選題1．（2023·浙江·校聯(lián)考三模）已知SKIPIF1<0，且滿足SKIPIF1<0，則下列判斷正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2023·浙江溫州·樂(lè)清市知臨中學(xué)校考模擬預(yù)測(cè)）在函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0中，既是奇函數(shù)又是周期函數(shù)的有（

）個(gè)A．0 B．1 C．2 D．33．（2023·浙江·高三專題練習(xí)）已知函數(shù)SKIPIF1<0同時(shí)滿足性質(zhì):①SKIPIF1<0;②當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則函數(shù)SKIPIF1<0可能為(

)A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0為奇函數(shù) B．SKIPIF1<0為偶函數(shù)C．SKIPIF1<0為奇函數(shù) D．SKIPIF1<0為偶函數(shù)5．（2023·浙江紹興·統(tǒng)考模擬預(yù)測(cè)）如圖是函數(shù)SKIPIF1<0的導(dǎo)函數(shù)SKIPIF1<0的圖象，若SKIPIF1<0，則SKIPIF1<0的圖象大致為（

）A． B．C． D．6．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）函數(shù)SKIPIF1<0，其中SKIPIF1<0，則滿足SKIPIF1<0的SKIPIF1<0取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2023春·浙江杭州·高三浙江省杭州第二中學(xué)?？茧A段練習(xí)）對(duì)正實(shí)數(shù)a有SKIPIF1<0在定義域內(nèi)恒成立，則a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023·浙江溫州·樂(lè)清市知臨中學(xué)?？寄M預(yù)測(cè)）設(shè)SKIPIF1<0，SKIPIF1<0，已知函數(shù)SKIPIF1<0，SKIPIF1<0有且只有一個(gè)零點(diǎn)，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（2023·浙江嘉興·校考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，若存在SKIPIF1<0，使得SKIPIF1<0成立，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（2023·浙江·高三專題練習(xí)）已知SKIPIF1<0在SKIPIF1<0上恒成立，則SKIPIF1<0的最小值是（

）A．0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．（2023·浙江紹興·統(tǒng)考二模）已知正數(shù)SKIPIF1<0滿足SKIPIF1<0為自然對(duì)數(shù)的底數(shù)，則下列不等式一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）已知SKIPIF1<0，且滿足SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<013．（2023·浙江寧波·鎮(zhèn)海中學(xué)校考模擬預(yù)測(cè)）設(shè)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<014．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，則下列錯(cuò)誤的是（

）A．若SKIPIF1<0關(guān)于SKIPIF1<0中心對(duì)稱，則SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱B．若SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱，則SKIPIF1<0有對(duì)稱中心C．若SKIPIF1<0有1個(gè)對(duì)稱中心和1條與SKIPIF1<0軸垂直的不過(guò)對(duì)稱中心的對(duì)稱軸，則SKIPIF1<0為周期函數(shù)D．若SKIPIF1<0有兩個(gè)不同的對(duì)稱中心，則SKIPIF1<0為周期函數(shù)15．（2023·浙江·高三專題練習(xí)）設(shè)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題16．（2023春·浙江杭州·高三浙江省杭州第二中學(xué)?？茧A段練習(xí)）已知定義域?yàn)镾KIPIF1<0的函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，SKIPIF1<0，且圖像關(guān)于SKIPIF1<0對(duì)稱，則SKIPIF1<0（

）A．SKIPIF1<0 B．周期SKIPIF1<0C．在SKIPIF1<0單調(diào)遞減 D．滿足SKIPIF1<017．（2023·浙江·高三專題練習(xí)）已知函數(shù)SKIPIF1<0（SKIPIF1<0）是奇函數(shù)，SKIPIF1<0且SKIPIF1<0，SKIPIF1<0是SKIPIF1<0的導(dǎo)函數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0的一個(gè)周期是4 C．SKIPIF1<0是偶函數(shù) D．SKIPIF1<018．（2023·?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則下列結(jié)論中正確的是（

）A．導(dǎo)函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間為SKIPIF1<0B．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0中心對(duì)稱C．過(guò)原點(diǎn)SKIPIF1<0只能作一條直線與SKIPIF1<0的圖象相切D．SKIPIF1<0恰有兩個(gè)零點(diǎn)19．（2023·浙江·高三專題練習(xí)）已知函數(shù)SKIPIF1<0與SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0與SKIPIF1<0的定義域均為SKIPIF1<0，SKIPIF1<0是偶函數(shù)，SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<020．（2023·浙江紹興·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，下列說(shuō)法正確的有（

）A．若SKIPIF1<0與SKIPIF1<0圖象至多有2個(gè)公共點(diǎn)B．若SKIPIF1<0與SKIPIF1<0圖象至少有2個(gè)公共點(diǎn)C．若SKIPIF1<0與SKIPIF1<0圖象至多有2個(gè)公共點(diǎn)D．若SKIPIF1<0與SKIPIF1<0圖象至少有2個(gè)公共點(diǎn)21．（2023·浙江紹興·統(tǒng)考模擬預(yù)測(cè)）若函數(shù)SKIPIF1<0為函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，且對(duì)于任意實(shí)數(shù)SKIPIF1<0，均有SKIPIF1<0，且SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0不可能為奇函數(shù) B．存在實(shí)數(shù)M，使得SKIPIF1<0C．存在實(shí)數(shù)N，使得SKIPIF1<0 D．函數(shù)SKIPIF1<0不存在零點(diǎn)22．（2023·浙江嘉興·?？寄M預(yù)測(cè)）設(shè)函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0是SKIPIF1<0的極大值點(diǎn)，以下結(jié)論一定正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0是SKIPIF1<0的極大值點(diǎn)C．SKIPIF1<0是SKIPIF1<0的極小值點(diǎn) D．SKIPIF1<0是SKIPIF1<0的極大值點(diǎn)23．（2023·浙江金華·統(tǒng)考模擬預(yù)測(cè)）當(dāng)SKIPIF1<0且SKIPIF1<0時(shí)，不等式SKIPIF1<0恒成立，則自然數(shù)SKIPIF1<0可能為（

）A．0 B．2 C．8 D．1224．（2023·浙江金華·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱，SKIPIF1<0，又SKIPIF1<0，則（

）A．SKIPIF1<0為偶函數(shù) B．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0中心對(duì)稱C．SKIPIF1<0是奇函數(shù) D．SKIPIF1<025．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0的定義域均為SKIPIF1<0.若SKIPIF1<0時(shí)SKIPIF1<0，且SKIPIF1<0時(shí)SKIPIF1<0，則（

）A．SKIPIF1<0 B．函數(shù)SKIPIF1<0的圖像關(guān)于點(diǎn)SKIPIF1<0對(duì)稱C．SKIPIF1<0 D．SKIPIF1<026．（2023·浙江溫州·樂(lè)清市知臨中學(xué)?？寄M預(yù)測(cè)）已知SKIPIF1<0，函數(shù)SKIPIF1<0，則（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0 B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0C．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0 D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<027．（2023·浙江溫州·樂(lè)清市知臨中學(xué)?？级＃┮阎瘮?shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0的導(dǎo)函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0中心對(duì)稱，且函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，若SKIPIF1<0且SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<028．（2023·浙江·二模）已知SKIPIF1<0時(shí)，SKIPIF1<0，則（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0 B．當(dāng)SKIPIF1<0時(shí)，SK