新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題20 函數(shù)的基本性質(zhì)綜合問題 多選題（原卷版）

試卷第=page11頁，共=sectionpages33頁專題20函數(shù)的基本性質(zhì)綜合問題多選題1．（2023·湖南·湖南師大附中校聯(lián)考模擬預(yù)測）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0為偶函數(shù)，則下列說法一定正確的是（

）A．函數(shù)SKIPIF1<0的周期為2 B．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0為偶函數(shù) D．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱2．（2023·廣東茂名·統(tǒng)考一模）已知函數(shù)SKIPIF1<0對(duì)SKIPIF1<0，都有SKIPIF1<0，SKIPIF1<0為奇函數(shù)，且SKIPIF1<0時(shí)，SKIPIF1<0，下列結(jié)論正確的是（

）A．函數(shù)SKIPIF1<0的圖像關(guān)于點(diǎn)SKIPIF1<0中心對(duì)稱B．SKIPIF1<0是周期為2的函數(shù)C．SKIPIF1<0D．SKIPIF1<03．（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<04．（2023春·浙江·高三校聯(lián)考開學(xué)考試）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)，則下列說法中一定正確的是（

）A．函數(shù)SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2023·吉林·東北師大附中?？级＃┒x在R上的奇函數(shù)SKIPIF1<0滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0時(shí)，SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2023秋·江蘇·高三統(tǒng)考期末）設(shè)函數(shù)f(x)的定義域?yàn)镽，f(2x＋1)為奇函數(shù)，f(x＋2)為偶函數(shù)，當(dāng)x∈[0，1]時(shí)，f(x)＝SKIPIF1<0＋b，若f(0)＋f(3)＝－1，則（

）A．b＝－2 B．f(2023)＝－1C．f(x)為偶函數(shù) D．f(x)的圖象關(guān)于SKIPIF1<0對(duì)稱7．（2023·云南昆明·昆明一中校考模擬預(yù)測）已知奇函數(shù)SKIPIF1<0滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，且SKIPIF1<0，則實(shí)數(shù)a的值可以為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023春·安徽·高三合肥市第六中學(xué)校聯(lián)考開學(xué)考試）已知SKIPIF1<0為偶函數(shù)，且SKIPIF1<0恒成立．當(dāng)SKIPIF1<0時(shí)SKIPIF1<0．則下列四個(gè)命題中，正確的是（

）A．SKIPIF1<0的周期是SKIPIF1<0 B．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱C．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0 D．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<09．（2023春·云南·高三校聯(lián)考開學(xué)考試）已知SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，SKIPIF1<0，設(shè)SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0的周期為SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0是偶函數(shù) D．SKIPIF1<010．（2023·云南·統(tǒng)考一模）已知SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0，SKIPIF1<0在SKIPIF1<0單調(diào)遞減，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（2023·湖南婁底·高三漣源市第一中學(xué)校聯(lián)考階段練習(xí)）已知SKIPIF1<0是定義在R上的函數(shù)，若SKIPIF1<0是奇函數(shù)，SKIPIF1<0是偶函數(shù)，函數(shù)SKIPIF1<0，則（

）A．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0 B．當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．（2023春·重慶沙坪壩·高三重慶八中?？茧A段練習(xí)）已知定義在SKIPIF1<0上的奇函數(shù)SKIPIF1<0滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則下列選項(xiàng)正確的是（

）A．SKIPIF1<0B．方程SKIPIF1<0有5個(gè)不同的根C．若SKIPIF1<0有解，則SKIPIF1<0D．若SKIPIF1<0無實(shí)數(shù)解，則SKIPIF1<0可以取SKIPIF1<013．（2023春·江蘇南京·高三南京師大附中校考開學(xué)考試）已知函數(shù)SKIPIF1<0，SKIPIF1<0是定義域?yàn)镾KIPIF1<0的奇函數(shù)，SKIPIF1<0的圖像關(guān)于直線SKIPIF1<0對(duì)稱，函數(shù)SKIPIF1<0的圖像關(guān)于點(diǎn)SKIPIF1<0對(duì)稱，則下列結(jié)論正確的是（

）A．函數(shù)SKIPIF1<0的一個(gè)周期為SKIPIF1<0B．函數(shù)SKIPIF1<0的圖像關(guān)于點(diǎn)SKIPIF1<0對(duì)稱C．若SKIPIF1<0，則SKIPIF1<0D．若SKIPIF1<0，則SKIPIF1<014．（2023秋·遼寧錦州·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0對(duì)任意實(shí)數(shù)SKIPIF1<0，SKIPIF1<0都滿足SKIPIF1<0，且SKIPIF1<0，則（

）A．SKIPIF1<0是偶函數(shù) B．SKIPIF1<0是奇函數(shù)C．SKIPIF1<0 D．SKIPIF1<015．（2023秋·河北邢臺(tái)·高三邢臺(tái)市第二中學(xué)校考期末）已知定義域?yàn)镽的函數(shù)SKIPIF1<0滿足SKIPIF1<0是奇函數(shù)，SKIPIF1<0為偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則（

）A．函數(shù)SKIPIF1<0是偶函數(shù)B．函數(shù)SKIPIF1<0的最小正周期為8C．函數(shù)SKIPIF1<0在SKIPIF1<0上有4個(gè)零點(diǎn)D．SKIPIF1<016．（2023春·福建泉州·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0的定義域均為SKIPIF1<0，SKIPIF1<0為偶函數(shù)，且SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0為偶函數(shù) B．SKIPIF1<0為奇函數(shù)C．SKIPIF1<0是以3為周期的周期函數(shù) D．SKIPIF1<0是以4為周期的周期函數(shù)17．（2023春·福建南平·高三校聯(lián)考階段練習(xí)）已知定義在SKIPIF1<0上的奇函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若函數(shù)SKIPIF1<0是偶函數(shù)，則下列結(jié)論正確的有（

）A．SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<0有100個(gè)零點(diǎn)18．（2023秋·山東德州·高三統(tǒng)考期末）已知定義在SKIPIF1<0上的奇函數(shù)SKIPIF1<0圖象連續(xù)不斷，且滿足SKIPIF1<0，則下列結(jié)論正確的是（

）A．函數(shù)SKIPIF1<0的周期T＝2 B．SKIPIF1<0C．SKIPIF1<0在SKIPIF1<0上有4個(gè)零點(diǎn) D．SKIPIF1<0是函數(shù)SKIPIF1<0圖象的一個(gè)對(duì)稱中心19．（2023·江蘇南通·統(tǒng)考模擬預(yù)測）已知偶函數(shù)SKIPIF1<0與奇函數(shù)SKIPIF1<0的定義域均為R，且滿足SKIPIF1<0，SKIPIF1<0，則下列關(guān)系式一定成立的是（

）A．SKIPIF1<0 B．f（1）=3C．g（x）=-g（x+3） D．SKIPIF1<020．（2023秋·廣東廣州·高三統(tǒng)考階段練習(xí)）已知函數(shù)SKIPIF1<0、SKIPIF1<0的定義域均為SKIPIF1<0，SKIPIF1<0為偶函數(shù)，且SKIPIF1<0，SKIPIF1<0，下列說法正確的有（

）A．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱 B．函數(shù)SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱C．函數(shù)SKIPIF1<0是以SKIPIF1<0為周期的周期函數(shù) D．函數(shù)SKIPIF1<0是以SKIPIF1<0為周期的周期函數(shù)21．（2023春·黑龍江哈爾濱·高三哈九中?？奸_學(xué)考試）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)，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<022．（2023·黑龍江·黑龍江實(shí)驗(yàn)中學(xué)校考一模）已知函數(shù)SKIPIF1<0的定義域?yàn)镽，且SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，且對(duì)任意的SKIPIF1<0，且SKIPIF1<0，都有SKIPIF1<0，則下列結(jié)論正確的為（

）A．SKIPIF1<0是偶函數(shù) B．SKIPIF1<0C．SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱 D．SKIPIF1<023．（2023·云南·統(tǒng)考模擬預(yù)測）已知定義在R上的函數(shù)SKIPIF1<0，對(duì)于任意的SKIPIF1<0恒有SKIPIF1<0，且SKIPIF1<0，若存在正數(shù)t，使得SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0為偶函數(shù) D．SKIPIF1<0為周期函數(shù)24．（2023·遼寧·校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0、SKIPIF1<0的定義域均為SKIPIF1<0．且滿足SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對(duì)稱 D．SKIPIF1<025．（2023秋·河北石家莊·高三校聯(lián)考期末）已知函數(shù)SKIPIF1<0的定義域均為R，且SKIPIF1<0.若SKIPIF1<0的圖像關(guān)于直線SKIPIF1<0對(duì)稱，且SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0的圖像關(guān)于點(diǎn)SKIPIF1<0對(duì)稱C．SKIPIF1<0是周期函數(shù)，且最小正周期為8 D．SKIPIF1<026．（2023·福建莆田·統(tǒng)考二模）已知函數(shù)SKIPIF1<0的定義域?yàn)镽，且SKIPIF1<0為偶函數(shù)，則（

）A．SKIPIF1<0 B．SKIPIF1<0為偶函數(shù)C．SKIPIF1<0 D．SKIPIF1<027．（2023·山東·濰坊一中校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，SKIPIF1<0為奇函數(shù)，且對(duì)于任意SKIPIF1<0，都有SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0為偶函數(shù) D．