新高考數(shù)學(xué)一輪復(fù)習(xí)分層提升練習(xí)第08練 函數(shù)的基本性質(zhì)Ⅱ-奇偶性、周期性和對稱性（原卷版）

第08講函數(shù)的基本性質(zhì)Ⅱ-奇偶性、周期性和對稱性（精練）【A組】一、單選題1．下列函數(shù)中，是奇函數(shù)且在定義域內(nèi)單調(diào)遞增的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0，函數(shù)SKIPIF1<0都滿足SKIPIF1<0，又SKIPIF1<0，則SKIPIF1<0（

）A．3 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．）函數(shù)SKIPIF1<0的大致圖象是（

）A． B．C． D．4．設(shè)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù)，且SKIPIF1<0在SKIPIF1<0上是嚴(yán)格減函數(shù)，SKIPIF1<0，則SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．已知函數(shù)SKIPIF1<0同時滿足性質(zhì):①SKIPIF1<0;②當(dāng)SKIPIF1<0時,SKIPIF1<0,則函數(shù)SKIPIF1<0可能為(

)A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0，若SKIPIF1<0，則實數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．設(shè)函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0關(guān)于SKIPIF1<0對稱 B．SKIPIF1<0關(guān)于SKIPIF1<0對稱C．SKIPIF1<0關(guān)于SKIPIF1<0對稱 D．SKIPIF1<0關(guān)于SKIPIF1<0對稱8．已知函數(shù)SKIPIF1<0為偶函數(shù)，且函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增，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<0二、多選題9．已知定義在SKIPIF1<0上的奇函數(shù)SKIPIF1<0的圖象連續(xù)不斷，且滿足SKIPIF1<0，則以下結(jié)論成立的是（

）A．函數(shù)SKIPIF1<0的周期SKIPIF1<0B．SKIPIF1<0C．點SKIPIF1<0是函數(shù)SKIPIF1<0圖象的一個對稱中心D．SKIPIF1<0在SKIPIF1<0上有4個零點10．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足：SKIPIF1<0關(guān)于SKIPIF1<0中心對稱，SKIPIF1<0關(guān)于SKIPIF1<0對稱，且SKIPIF1<0.則下列選項中說法正確的有（

）A．SKIPIF1<0為奇函數(shù) B．SKIPIF1<0周期為2C．SKIPIF1<0 D．SKIPIF1<0是奇函數(shù)三、填空題11．（2023秋·吉林長春·高三長春市第二中學(xué)?？计谀┰O(shè)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0，又當(dāng)SKIPIF1<0時，SKIPIF1<0，則SKIPIF1<0的值為______.12．已知函數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是奇函數(shù)，且當(dāng)SKIPIF1<0時，SKIPIF1<0，則SKIPIF1<0時，SKIPIF1<0________．13．（定義在SKIPIF1<0上的奇函數(shù)SKIPIF1<0滿足SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0，則SKIPIF1<0的值為___________.14．（2023·福建漳州·統(tǒng)考三模）已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù)，且SKIPIF1<0，則SKIPIF1<0_________.15．已知函數(shù)SKIPIF1<0，若不等式SKIPIF1<0在R上恒成立，則實數(shù)m的取值范圍是________.【B組

】一、單選題1．如圖是下列四個函數(shù)中的某個函數(shù)在區(qū)間SKIPIF1<0上的大致圖象，則該函數(shù)是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．已知定義在SKIPIF1<0上的偶函數(shù)SKIPIF1<0，若正實數(shù)a、b滿足SKIPIF1<0，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．9 C．SKIPIF1<0 D．83．已知偶函數(shù)SKIPIF1<0與其導(dǎo)函數(shù)SKIPIF1<0的定義域均為SKIPIF1<0，且SKIPIF1<0也是偶函數(shù)，若SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是偶函數(shù)，SKIPIF1<0，則SKIPIF1<0（

）A．0 B．1 C．-1 D．25．已知函數(shù)SKIPIF1<0的定義域為SKIPIF1<0，滿足SKIPIF1<0為奇函數(shù)且SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0若SKIPIF1<0則SKIPIF1<0（

）A．10 B．-10 C．SKIPIF1<0 D．-SKIPIF1<0二、多選題6．已知函數(shù)SKIPIF1<0的定義域為R，SKIPIF1<0為奇函數(shù)，且對SKIPIF1<0，SKIPIF1<0恒成立，則（

）A．SKIPIF1<0為奇函數(shù) B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0及其導(dǎo)函數(shù)SKIPIF1<0的定義域均為SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，且當(dāng)SKIPIF1<0時，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空題8．對于定義在SKIPIF1<0上的奇函數(shù)SKIPIF1<0，當(dāng)SKIPIF1<0時，SKIPIF1<0，則該函數(shù)的值域為________.9．某函數(shù)SKIPIF1<0滿足以下三個條件：①SKIPIF1<0是偶函數(shù)；②SKIPIF1<0；③SKIPIF1<0的最大值為4．請寫出一個滿足上述條件的函數(shù)SKIPIF1<0的解析式______．10．已知SKIPIF1<0是定義在R上的偶函數(shù)，當(dāng)SKIPIF1<0時，SKIPIF1<0，則不等式SKIPIF1<0的解集是________．11．若SKIPIF1<0為定義在SKIPIF1<0上的連續(xù)不斷的函數(shù)，滿足SKIPIF1<0，且當(dāng)SKIPIF1<0時，SKIPIF1<0.若SKIPIF1<0，則SKIPIF1<0的取值范圍___________.四、解答題12．已知二次函數(shù)SKIPIF1<0滿足SKIPIF1<0且SKIPIF1<0．(1)求SKIPIF1<0的解析式；(2)若方程SKIPIF1<0，SKIPIF1<0時有唯一一個零點，且不是重根，求SKIPIF1<0的取值范圍；(3)當(dāng)SKIPIF1<0時，不等式SKIPIF1<0恒成立，求實數(shù)SKIPIF1<0的范圍．【C組】一、單選題1．設(shè)函數(shù)SKIPIF1<0在SKIPIF1<0上滿足SKIPIF1<0，SKIPIF1<0，且在閉區(qū)間SKIPIF1<0上只有SKIPIF1<0，則方程SKIPIF1<0在閉區(qū)間SKIPIF1<0上的根的個數(shù)（

）．A．1348 B．1347 C．1346 D．13452．設(shè)SKIPIF1<0是定義在R上的以2為周期的偶函數(shù)，在區(qū)間SKIPIF1<0上單調(diào)遞減，且滿足SKIPIF1<0，SKIPIF1<0，則不等式組SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．）設(shè)偶函數(shù)SKIPIF1<0在SKIPIF1<0上的導(dǎo)函數(shù)為SKIPIF1<0，當(dāng)SKIPIF1<0時，有SKIPIF1<0，則下列結(jié)論一定正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0