新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題19 函數(shù)的基本性質(zhì)綜合問題（單選題+填空題）（原卷版）

試卷第=page11頁，共=sectionpages33頁專題19函數(shù)的基本性質(zhì)綜合問題（單選題+填空題）一、單選題1．（2023·黑龍江哈爾濱·哈爾濱三中校考一模）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SKIPIF1<0（

）A．SKIPIF1<0 B．4 C．14 D．02．（2023·黑龍江大慶·統(tǒng)考一模）已知函數(shù)SKIPIF1<0，SKIPIF1<0的定義域均為SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．0 D．23．（2023春·江蘇南京·高三校聯(lián)考期末）已知函數(shù)SKIPIF1<0為定義在R上的偶函數(shù)，當(dāng)SKIPIF1<0時(shí)有SKIPIF1<0，且SKIPIF1<0時(shí)，SKIPIF1<0，若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023·云南昆明·統(tǒng)考一模）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SKIPIF1<0（

）A．21 B．22 C．SKIPIF1<0 D．SKIPIF1<05．（2023秋·遼寧營口·高三統(tǒng)考期末）設(shè)函數(shù)SKIPIF1<0的定義域?yàn)镽，SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0．若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023春·河北邯鄲·高三校聯(lián)考開學(xué)考試）將函數(shù)SKIPIF1<0的圖象向右平移1個(gè)單位長度后，再向上平移4個(gè)單位長度，所得函數(shù)圖象與曲線SKIPIF1<0關(guān)于直線SKIPIF1<0對稱，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．47．（2023·河北邢臺·校聯(lián)考模擬預(yù)測）已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0的一個(gè)周期為2，則（

）A．1為SKIPIF1<0的周期 B．SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對稱C．SKIPIF1<0 D．SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對稱8．（2023春·河北·高三校聯(lián)考階段練習(xí)）已知函數(shù)SKIPIF1<0是奇函數(shù)，函數(shù)SKIPIF1<0的圖象與SKIPIF1<0的圖象有4個(gè)公共點(diǎn)SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0（

）A．2 B．3 C．4 D．59．（2023春·江蘇南通·高三?？奸_學(xué)考試）已知函數(shù)SKIPIF1<0的定義域?yàn)镽，SKIPIF1<0，且SKIPIF1<0在SKIPIF1<0上遞增，則SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<010．（2023·福建福州·統(tǒng)考二模）已知函數(shù)SKIPIF1<0，SKIPIF1<0的定義域均為SKIPIF1<0，SKIPIF1<0是奇函數(shù)，且SKIPIF1<0，SKIPIF1<0，則（

）A．f（x）為奇函數(shù) B．g（x）為奇函數(shù)C．SKIPIF1<0 D．SKIPIF1<011．（2023秋·山東煙臺·高三統(tǒng)考期末）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足：SKIPIF1<0為偶函數(shù)，且SKIPIF1<0；函數(shù)SKIPIF1<0，則當(dāng)SKIPIF1<0時(shí)，函數(shù)SKIPIF1<0的所有零點(diǎn)之和為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．（2023·山東威?！そy(tǒng)考一模）若函數(shù)SKIPIF1<0與SKIPIF1<0的圖像有且僅有一個(gè)交點(diǎn)，則關(guān)于x的不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．（2023春·湖南長沙·高三長沙一中?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0，設(shè)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0成立的一個(gè)必要不充分條件是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<014．（2023秋·江蘇蘇州·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，SKIPIF1<0為奇函數(shù)，SKIPIF1<0為偶函數(shù).記函數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．25 B．27 C．29 D．3115．（2023·湖北·統(tǒng)考模擬預(yù)測）已知函數(shù)SKIPIF1<0，若SKIPIF1<0成立，則實(shí)數(shù)a的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<016．（2023秋·浙江杭州·高三浙江省桐廬中學(xué)期末）已知函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，有SKIPIF1<0，其中SKIPIF1<0，SKIPIF1<0，則下列說法一定正確的是（

）A．SKIPIF1<0是SKIPIF1<0的一個(gè)周期 B．SKIPIF1<0是奇函數(shù) C．SKIPIF1<0是偶函數(shù) D．SKIPIF1<0二、填空題17．（2023·湖南婁底·高三漣源市第一中學(xué)校聯(lián)考階段練習(xí)）若SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0是偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0__________.18．（2023春·湖南湘潭·高三湘鋼一中?？奸_學(xué)考試）已知SKIPIF1<0是定義在SKIPIF1<0上的增函數(shù)，且SKIPIF1<0的圖象關(guān)于點(diǎn)SKIPIF1<0對稱，則關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集為_________．19．（2023·廣東·高三統(tǒng)考學(xué)業(yè)考試）已知函數(shù)SKIPIF1<0對任意SKIPIF1<0，都有SKIPIF1<0成立．有以下結(jié)論：①SKIPIF1<0；②SKIPIF1<0是SKIPIF1<0上的偶函數(shù)；③若SKIPIF1<0，則SKIPIF1<0；④當(dāng)SKIPIF1<0時(shí)，恒有SKIPIF1<0，則函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增．則上述所有正確結(jié)論的編號是________20．（2023春·廣東揭陽·高三?？奸_學(xué)考試）已知SKIPIF1<0為奇函數(shù)，則SKIPIF1<0________．21．（2023·遼寧阜新·?？寄M預(yù)測）若函數(shù)SKIPIF1<0為奇函數(shù)，且SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0_________．22．（2023秋·河北邯鄲·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0為奇函數(shù)，則實(shí)數(shù)SKIPIF1<0______.23．（2023春·福建漳州·高三福建省漳州第一中學(xué)?？奸_學(xué)考試）已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，SKIPIF1<0對任意的SKIPIF1<0恒成立，若SKIPIF1<0，則SKIPIF1<0SKIPIF1<0__________24．（2023秋·山東泰安·高三統(tǒng)考期末）已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足：對任意實(shí)數(shù)a，b都有SKIPIF1<0，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0．若SKIPIF1<0，則不等式SKIPIF1<0的解集為______．25．（2023·山東菏澤·統(tǒng)考一模）定義在SKIPIF1<0上的函數(shù)SKIPIF1<0，滿足SKIPIF1<0為偶函數(shù)，SKIPIF1<0為奇函數(shù)，若SKIPIF1<0，則SKIPIF1<0__________.26．（2023·山東泰安·統(tǒng)考一模）設(shè)SKIPIF1<0是定義域?yàn)镽的偶函數(shù)，且SKIPIF1<0.若SKIPIF1<0，則SKIPIF1<0的值是___________.27．（2023秋·湖南懷化·高三統(tǒng)考期末）已知函數(shù)SKIPIF1<0在SKIPIF1<0上的最大值與最小值分別為SKIPIF1<0和SKIPIF1<0，則函數(shù)SKIPIF1<0的圖象的對稱中心是______.28．（2023秋·江蘇南京·高三南京市第一中學(xué)?？计谀┮阎x在R上的偶函數(shù)SKIPIF1<0滿足SKIPIF1<0.若SKI