新高考數(shù)學(xué)二輪復(fù)習(xí) 多選題分類提升練習(xí)專題六【函數(shù)與導(dǎo)函數(shù)】多選題專練六十題（原卷版）

多選題專練六十題專題六函數(shù)與導(dǎo)函數(shù)（學(xué)生版）第一部——高考真題練1．（2023·全國(guó)·統(tǒng)考高考真題）若函數(shù)SKIPIF1<0既有極大值也有極小值，則（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2023·全國(guó)·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，SKIPIF1<0，則（

）．A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0是偶函數(shù) D．SKIPIF1<0為SKIPIF1<0的極小值點(diǎn)3．（2023·全國(guó)·統(tǒng)考高考真題）噪聲污染問(wèn)題越來(lái)越受到重視．用聲壓級(jí)來(lái)度量聲音的強(qiáng)弱，定義聲壓級(jí)SKIPIF1<0，其中常數(shù)SKIPIF1<0是聽(tīng)覺(jué)下限閾值，SKIPIF1<0是實(shí)際聲壓．下表為不同聲源的聲壓級(jí)：聲源與聲源的距離SKIPIF1<0聲壓級(jí)SKIPIF1<0燃油汽車10SKIPIF1<0混合動(dòng)力汽車10SKIPIF1<0電動(dòng)汽車1040已知在距離燃油汽車、混合動(dòng)力汽車、電動(dòng)汽車SKIPIF1<0處測(cè)得實(shí)際聲壓分別為SKIPIF1<0，則（

）．A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國(guó)·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義域均為SKIPIF1<0，記SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0均為偶函數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·全國(guó)·統(tǒng)考高考真題）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0有兩個(gè)極值點(diǎn) B．SKIPIF1<0有三個(gè)零點(diǎn)C．點(diǎn)SKIPIF1<0是曲線SKIPIF1<0的對(duì)稱中心 D．直線SKIPIF1<0是曲線SKIPIF1<0的切線第二部——基礎(chǔ)模擬題6．（2023·湖北武漢·華中師大一附中?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0和SKIPIF1<0的圖像都是SKIPIF1<0上連續(xù)不斷的曲線，如果SKIPIF1<0，當(dāng)且僅當(dāng)SKIPIF1<0時(shí)SKIPIF1<0，那么下列情形可能出現(xiàn)的是（

）A．1是SKIPIF1<0的極大值，也是SKIPIF1<0的極大值 B．1是SKIPIF1<0的極大值，也是SKIPIF1<0的極小值C．1是SKIPIF1<0的極小值，也是SKIPIF1<0的極小值 D．1是SKIPIF1<0的極小值，也是SKIPIF1<0的極大值7．（2023·浙江·校聯(lián)考模擬預(yù)測(cè)）已知非零實(shí)數(shù)SKIPIF1<0，SKIPIF1<0，則可能正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<08．（2023·江蘇揚(yáng)州·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0的圖像為曲線SKIPIF1<0，下列說(shuō)法正確的有（

）．A．SKIPIF1<0都有兩個(gè)極值點(diǎn)B．SKIPIF1<0都有三個(gè)零點(diǎn)C．SKIPIF1<0，曲線SKIPIF1<0都有對(duì)稱中心D．SKIPIF1<0，使得曲線SKIPIF1<0有對(duì)稱軸9．（2023·廣東佛山·?？寄M預(yù)測(cè)）已知定義在R上且不恒為0的函數(shù)SKIPIF1<0，對(duì)任意的SKIPIF1<0，都有SKIPIF1<0，則（

）A．SKIPIF1<0B．函數(shù)SKIPIF1<0是奇函數(shù)C．對(duì)SKIPIF1<0，有SKIPIF1<0D．若SKIPIF1<0，則SKIPIF1<010．（2023·河北衡水·衡水市第二中學(xué)?？既＃┮阎瘮?shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，SKIPIF1<0是奇函數(shù)，SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（2023·福建福州·福建省福州第一中學(xué)?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0為奇函數(shù)，則（

）A．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱B．函數(shù)SKIPIF1<0是周期函數(shù)C．SKIPIF1<0D．SKIPIF1<012．（2023·黑龍江佳木斯·佳木斯一中校考模擬預(yù)測(cè)）已知定義在R上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0為奇函數(shù)，SKIPIF1<0，SKIPIF1<0．下列說(shuō)法正確的是（

）A．3是函數(shù)SKIPIF1<0的一個(gè)周期B．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0是偶函數(shù)D．SKIPIF1<013．（2023·黑龍江佳木斯·佳木斯一中?？寄M預(yù)測(cè)）已知函數(shù)f(x)的定義域?yàn)锳，若對(duì)任意SKIPIF1<0，都存在正數(shù)M使得SKIPIF1<0總成立，則稱函數(shù)SKIPIF1<0是定義在A上的“有界函數(shù)”．則下列函數(shù)是“有界函數(shù)”的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<014．（2023·海南海口·海南華僑中學(xué)?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0（SKIPIF1<0），則（

）A．若SKIPIF1<0，則函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增B．若SKIPIF1<0在SKIPIF1<0上有最小值SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0上有最大值SKIPIF1<0C．過(guò)原點(diǎn)SKIPIF1<0有且僅有一條直線與SKIPIF1<0的圖象相切D．若函數(shù)SKIPIF1<0存在大于1的極值點(diǎn)，則SKIPIF1<015．（2023·浙江·統(tǒng)考模擬預(yù)測(cè)）已知定義在R上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0為奇函數(shù)，SKIPIF1<0，SKIPIF1<0.下列說(shuō)法正確的是（

）A．3是函數(shù)SKIPIF1<0的一個(gè)周期B．函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0是偶函數(shù)D．SKIPIF1<016．（2023·廣東東莞·?？既＃┮阎瘮?shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義域均為SKIPIF1<0.SKIPIF1<0，SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱 B．SKIPIF1<0為偶函數(shù)C．SKIPIF1<0 D．不等式SKIPIF1<0的解集為SKIPIF1<017．（2023·廣東東莞·統(tǒng)考模擬預(yù)測(cè)）已知SKIPIF1<0，滿足SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<018．（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<019．（2023·山東泰安·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，下列說(shuō)法錯(cuò)誤的是（

）A．若SKIPIF1<0，則函數(shù)SKIPIF1<0圖象在SKIPIF1<0處的切線方程為SKIPIF1<0B．若SKIPIF1<0，則函數(shù)SKIPIF1<0是奇函數(shù)C．若SKIPIF1<0，則函數(shù)SKIPIF1<0存在最小值D．若函數(shù)SKIPIF1<0存在極值，則實(shí)數(shù)SKIPIF1<0的取值范圍是SKIPIF1<020．（2023·湖北武漢·武漢二中校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0對(duì)SKIPIF1<0都有SKIPIF1<0，若函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱，且對(duì)SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，都有SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0是偶函數(shù)C．SKIPIF1<0是周期為4的周期函數(shù) D．SKIPIF1<021．（2023·黑龍江·黑龍江實(shí)驗(yàn)中學(xué)?？既＃┮阎猄KIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<022．（2023·福建廈門·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0的定義域都為SKIPIF1<0為奇函數(shù)，且SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<023．（2023·湖南·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，實(shí)數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<024．（2023·湖南長(zhǎng)沙·長(zhǎng)沙一中?？寄M預(yù)測(cè)）定義在R上的偶函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0在SKIPIF1<0上是增函數(shù)，則（

）A．SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<025．（2023·河北·校聯(lián)考一模）設(shè)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，其圖象關(guān)于直線SKIPIF1<0對(duì)稱，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若方程SKIPIF1<0在SKIPIF1<0上恰有SKIPIF1<0個(gè)實(shí)數(shù)解，則（

）A．SKIPIF1<0的周期為4 B．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減C．SKIPIF1<0的值域?yàn)镾KIPIF1<0 D．SKIPIF1<026．（2023·河北·校聯(lián)考一模）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<027．（2023·山西呂梁·統(tǒng)考三模）已知函數(shù)SKIPIF1<0，則下列說(shuō)法正確的是（

）A．曲線SKIPIF1<0在SKIPIF1<0處的切線與直線SKIPIF1<0垂直B．SKIPIF1<0在SKIPIF1<0上單調(diào)遞增C．SKIPIF1<0的極小值為SKIPIF1<0D．SKIPIF1<0在SKIPIF1<0上的最小值為SKIPIF1<028．（2023·重慶沙坪壩·重慶南開(kāi)中學(xué)?？寄M預(yù)測(cè)）19世紀(jì)時(shí)期，數(shù)學(xué)家們處理大部分?jǐn)?shù)學(xué)對(duì)象都沒(méi)有完全嚴(yán)格定義，數(shù)學(xué)家們習(xí)慣借助直覺(jué)和想象來(lái)描述數(shù)學(xué)對(duì)象，德國(guó)數(shù)學(xué)家狄利克雷（Dirichlet）在1829年給出了著名函數(shù)：SKIPIF1<0（其中SKIPIF1<0為有理數(shù)集，SKIPIF1<0為無(wú)理數(shù)集），后來(lái)人們稱之為狄利克雷函數(shù)，狄利克雷函數(shù)的出現(xiàn)表示數(shù)學(xué)家們對(duì)數(shù)學(xué)的理解發(fā)生了深刻的變化，數(shù)學(xué)的一些“人造”特征開(kāi)始展現(xiàn)出來(lái)，這種思想也標(biāo)志著數(shù)學(xué)從研究“算”轉(zhuǎn)變到了研究“概念、性質(zhì)、結(jié)構(gòu)”．一般地，廣義狄利克雷函數(shù)可以定義為SKIPIF1<0（其中SKIPIF1<0且SKIPIF1<0），則下列說(shuō)法正確的是（

）A．SKIPIF1<0都有SKIPIF1<0B．函數(shù)SKIPIF1<0和SKIPIF1<0均不存在最小正周期C．函數(shù)SKIPIF1<0和SKIPIF1<0均為偶函數(shù)D．存在三點(diǎn)SKIPIF1<0在SKIPIF1<0圖像上，使得SKIPIF1<0為正三角形，且這樣的三角形有無(wú)數(shù)個(gè)29．（2023·安徽滁州·?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，有下列結(jié)論，正確的是（

）A．任意的SKIPIF1<0，等式SKIPIF1<0恒成立B．任意的SKIPIF1<0，方程SKIPIF1<0有兩個(gè)不等實(shí)根C．任意的SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0，則一定有SKIPIF1<0D．存在無(wú)數(shù)個(gè)實(shí)數(shù)SKIPIF1<0，使得函數(shù)SKIPIF1<0在SKIPIF1<0上有SKIPIF1<0個(gè)零點(diǎn)．30．（2023·安徽合肥·合肥市第六中學(xué)?？寄M預(yù)測(cè)）設(shè)定義在SKIPIF1<0上的函數(shù)SKIPIF1<0與SKIPIF1<0的導(dǎo)函數(shù)分別為SKIPIF1<0和SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0為奇函數(shù)，則下列說(shuō)法中一定正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0為偶函數(shù)C．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱 D．SKIPIF1<0的一個(gè)周期為SKIPIF1<031．（2023·廣東汕頭·統(tǒng)考三模）設(shè)函數(shù)SKIPIF1<0定義域?yàn)镾KIPIF1<0，SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0B．SKIPIF1<0在SKIPIF1<0上是減函數(shù)C．SKIPIF1<0為奇函數(shù)D．方程SKIPIF1<0僅有6個(gè)實(shí)數(shù)解32．（2023·山東青島·統(tǒng)考三模）已知實(shí)數(shù)a，b，滿足a＞b＞0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<033．（2023·江蘇淮安·江蘇省鄭梁梅高級(jí)中學(xué)?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0定義域?yàn)镾KIPIF1<0，SKIPIF1<0是奇函數(shù)，SKIPIF1<0，函數(shù)SKIPIF1<0在SKIPIF1<0上遞增，則下列命題為真命題的是（

）A．SKIPIF1<0 B．函數(shù)SKIPIF1<0在SKIPIF1<0上遞減C．若SKIPIF1<0，則SKIPIF1<0 D．若SKIPIF1<0，則SKIPIF1<034．（2023·江蘇鹽城·統(tǒng)考三模）設(shè)函數(shù)SKIPIF1<0為SKIPIF1<0上的奇函數(shù)，SKIPIF1<0為SKIPIF1<0的導(dǎo)函數(shù)，SKIPIF1<0，SKIPIF1<0，則下列說(shuō)法中一定正確的有（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<035．（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<036．（2023·河北石家莊·正定中學(xué)?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0，下列說(shuō)法正確的是（

）A．SKIPIF1<0在SKIPIF1<0處的切線方程為SKIPIF1<0B．SKIPIF1<0C．若函數(shù)SKIPIF1<0的圖象與SKIPIF1<0的圖象關(guān)于坐標(biāo)原點(diǎn)對(duì)稱，則SKIPIF1<0D．SKIPIF1<0有唯一零點(diǎn)37．（2023·廣東·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0的定義域?yàn)镽B．SKIPIF1<0一定存在最小值C．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0的值域?yàn)镽38．（2023·安徽滁州·安徽省定遠(yuǎn)中學(xué)?？级＃┮阎瘮?shù)SKIPIF1<0則（

）A．SKIPIF1<0沒(méi)有極值點(diǎn)B．當(dāng)SKIPIF1<0時(shí)，函數(shù)SKIPIF1<0圖像與直線y＝m有三個(gè)公共點(diǎn)C．點(diǎn)SKIPIF1<0是曲線SKIPIF1<0的對(duì)稱中心D．直線SKIPIF1<0是曲線SKIPIF1<0的切線39．（2023·山西大同·統(tǒng)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0有兩個(gè)極值點(diǎn) B．SKIPIF1<0有兩個(gè)零點(diǎn)C．SKIPIF1<0恒成立 D．SKIPIF1<0恒成立40．（2023·山西朔州·懷仁市第一中學(xué)校?？寄M預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0為奇函數(shù)B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0或1C．若函數(shù)SKIPIF1<0有且僅有一個(gè)零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為SKIPIF1<0D．若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的值域?yàn)镾KIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍為SKIPIF1<0第三部分能力提升模擬題41．（2023·重慶巴南·統(tǒng)考一模）已知函數(shù)SKIPIF1<0，下列選項(xiàng)正確的是（

）A．SKIPIF1<0有最大值B．SKIPIF1<0C．若SKIPIF1<0時(shí)，SKIPIF1<0恒成立，則SKIPIF1<0D．設(shè)SKIPIF1<0為兩個(gè)不相等的正數(shù)，且SKIPIF1<0，則SKIPIF1<042．（2023·福建福州·福建省福州第一中學(xué)?？级＃┒x在SKIPIF1<0上的函數(shù)SKIPIF1<0，其導(dǎo)函數(shù)分別為SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0是奇函數(shù)B．SKIPIF1<0關(guān)于SKIPIF1<0對(duì)稱C．SKIPIF1<0周期為4D．SKIPIF1<043．（2023·福建福州·福建省福州第一中學(xué)?？既＃┒x在R上的函數(shù)SKIPIF1<0，SKIPIF1<0的導(dǎo)函數(shù)為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是偶函數(shù).已知SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0是奇函數(shù) B．SKIPIF1<0圖象的對(duì)稱軸是直線SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<044．（2023·河北·校聯(lián)考三模）已知SKIPIF1<0，則下列不等式成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<045．（2023·廣東深圳·深圳市高級(jí)中學(xué)?？寄M預(yù)測(cè)）對(duì)于函數(shù)SKIPIF1<0和SKIPIF1<0，設(shè)SKIPIF1<0，若存在SKIPIF1<0，使得SKIPIF1<0，則稱SKIPIF1<0與SKIPIF1<0互為“零點(diǎn)相鄰函數(shù)”.若函數(shù)SKIPIF1<0與SKIPIF1<0互為“零點(diǎn)相鄰函數(shù)”，則實(shí)數(shù)SKIPIF1<0的值可以是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<046．（2023·廣東·校聯(lián)考模擬預(yù)測(cè)）已知函數(shù)SKIPIF1<0，則過(guò)點(diǎn)SKIPIF1<0恰能作曲線SKIPIF1<0的兩條切線的充分條件可以是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<047．（2023·山東泰安·統(tǒng)考模擬預(yù)測(cè)）定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱，則（

）A．SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱 B．SKIPIF1<0是SKIPIF1<0的一個(gè)周期C．SKIPIF1<0 D．SKIPIF1<048．（2023·遼寧錦州·統(tǒng)考模擬預(yù)測(cè)）若SKIPIF1<0是函數(shù)SKIPIF1<0（SKIPIF1<0為自然對(duì)數(shù)的底數(shù)）圖象上的任意兩點(diǎn)，且函數(shù)SKIPIF1<0在點(diǎn)SKIPIF1<0和點(diǎn)SKIPIF1<0處的切線互相垂直，則下列結(jié)論中正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0最小值為1C．SKIPIF1<0的最小值為SKIPIF1<0 D．SKIPIF1<0的最大值為SKIPIF1<049．（2023·江蘇鹽城·鹽城中學(xué)?？既＃┮阎瘮?shù)SKIPIF1<0，SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0在SKIPIF1<0上存在唯一極值點(diǎn)B．SKIPIF1<0為函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，若函數(shù)SKIPIF1<0有兩個(gè)零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍是SKIPIF1<0C．若對(duì)任意SKIPIF1<0，不等式SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的最小值為SKIPIF1<0D．若SKIPIF1<0，則SKIPIF1<0的最大值為SKIPIF1<050．（2023·廣東佛山·?？寄M預(yù)測(cè)）設(shè)函數(shù)SKIPIF1<0有4個(gè)零點(diǎn)，分別為SKIPIF1<0，則下列說(shuō)法正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0的取值與SKIPIF1<0無(wú)關(guān) D．SKIPIF1<0的最小值為1051．（2023·湖北黃岡·浠水縣第一中學(xué)?？既＃┤鬝KIPIF1<0為函數(shù)SKIPIF1<0的導(dǎo)函數(shù)，數(shù)列SKIPIF1<0滿足SKIPIF1<0，則稱SKIPIF1<0為“牛頓數(shù)列”.已知函數(shù)SKIPIF1<0，數(shù)列SKIPIF1<0為“牛頓數(shù)列”，其中SKIPIF1<0，則（

）A．SKIPIF1<0B．?dāng)?shù)列SKIPIF1<0是單調(diào)遞減數(shù)列C．SKIPIF1<0D．關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解有無(wú)限個(gè)52．（2023·廣東韶關(guān)·統(tǒng)考模擬預(yù)測(cè)）已知SKIPIF1<0是周期為4的奇函數(shù)，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0.設(shè)SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0是奇函數(shù)也是周期函數(shù)B．函數(shù)SKIPIF1<0的最大值為1C．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上單調(diào)遞減D．函數(shù)SKIPIF1<0的圖象有對(duì)稱中心也有對(duì)稱軸53．（2023·廣東廣州·統(tǒng)考模擬預(yù)測(cè)）函數(shù)SKIPIF1<0，則下列結(jié)論正確的是（

）A．若函數(shù)SKIPIF1<0在SKIPIF1<0上為減函數(shù)，則SKIPIF1<0B．若函數(shù)SKIPIF1<0的對(duì)稱中心為SKIPIF1<0，則SKIPIF1<0C．當(dāng)SKIPIF1<0時(shí)，若SKIPIF1<0有三個(gè)根SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0D．當(dāng)SKIPIF1<0時(shí)，若過(guò)點(diǎn)SKIPIF1<0可作曲線SKIPIF1<0的三條切線，則SKIPIF1<054．（2023·廣東廣州·統(tǒng)考三模）設(shè)定義在R上的函數(shù)SKIPIF1<0與SKIPIF1<0的導(dǎo)函數(shù)分別為SKIPIF1<0和SKIPIF1<0．若SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0