新高考數(shù)學(xué)二輪復(fù)習(xí)專題培優(yōu)練習(xí)專題07 函數(shù)與方程（原卷版）

專題07函數(shù)與方程一、單選題1．函數(shù)SKIPIF1<0的一個(gè)零點(diǎn)所在的區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．定義符號(hào)函數(shù)SKIPIF1<0，則方程SKIPIF1<0的解是（

）A．2或SKIPIF1<0 B．3或SKIPIF1<0 C．2或3 D．2或3或SKIPIF1<03．已知函數(shù)SKIPIF1<0，若關(guān)于x的方程SKIPIF1<0有且只有一個(gè)實(shí)根，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．）若關(guān)于x的方程SKIPIF1<0有實(shí)數(shù)根SKIPIF1<0，且SKIPIF1<0，給出下列4個(gè)結(jié)論：①當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0；②SKIPIF1<0；③當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0；④當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0.其中正確的結(jié)論個(gè)數(shù)為（

）A．1 B．2 C．3 D．45．若函數(shù)SKIPIF1<0存在1個(gè)零點(diǎn)位于SKIPIF1<0內(nèi)，則a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有三個(gè)不同的零點(diǎn)，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．已知函數(shù)SKIPIF1<0，若方程SKIPIF1<0有三個(gè)不同的根SKIPIF1<0，則SKIPIF1<0（

）A．4 B．3 C．2 D．SKIPIF1<08．定義在SKIPIF1<0上的偶函數(shù)SKIPIF1<0滿足SKIPIF1<0，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若關(guān)于x的方程SKIPIF1<0恰有5個(gè)實(shí)數(shù)解，則實(shí)數(shù)m的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<09．已知函數(shù)SKIPIF1<0，且滿足對(duì)任意的SKIPIF1<0，總有SKIPIF1<0，SKIPIF1<0的圖象上關(guān)于SKIPIF1<0軸對(duì)稱的點(diǎn)恰好有3對(duì)，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．已知SKIPIF1<0，SKIPIF1<0分別是方程SKIPIF1<0，SKIPIF1<0的根，則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．10 D．511．函數(shù)SKIPIF1<0，關(guān)于x的方程SKIPIF1<0有2個(gè)不相等的實(shí)數(shù)根，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<012．已知函數(shù)SKIPIF1<0，若方程SKIPIF1<0有四個(gè)不同的實(shí)根SKIPIF1<0，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題13．已知函數(shù)SKIPIF1<0，其中SKIPIF1<0，SKIPIF1<0為某確定常數(shù)，運(yùn)用二分法研究函數(shù)SKIPIF1<0的零點(diǎn)時(shí)，若第一次經(jīng)計(jì)算SKIPIF1<0且SKIPIF1<0，則（

）A．可以確定SKIPIF1<0的一個(gè)零點(diǎn)SKIPIF1<0，滿足SKIPIF1<0B．第二次應(yīng)計(jì)算SKIPIF1<0，若SKIPIF1<0，第三次應(yīng)計(jì)算SKIPIF1<0C．第二次應(yīng)計(jì)算SKIPIF1<0，若SKIPIF1<0，第三次應(yīng)計(jì)算SKIPIF1<0D．第二次應(yīng)計(jì)算SKIPIF1<0，若SKIPIF1<0，第三次應(yīng)計(jì)算SKIPIF1<014．下列區(qū)間上，函數(shù)SKIPIF1<0有零點(diǎn)的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<015．設(shè)符號(hào)函數(shù)SKIPIF1<0，已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0的最小正周期為SKIPIF1<0B．SKIPIF1<0在SKIPIF1<0上的值域?yàn)镾KIPIF1<0C．SKIPIF1<0在SKIPIF1<0上單調(diào)遞減D．函數(shù)SKIPIF1<0在SKIPIF1<0上有5個(gè)零點(diǎn)16．已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0有兩個(gè)零點(diǎn)B．直線SKIPIF1<0與SKIPIF1<0的圖象有兩個(gè)交點(diǎn)C．直線SKIPIF1<0與SKIPIF1<0的圖象有四個(gè)交點(diǎn)D．存在兩點(diǎn)SKIPIF1<0，SKIPIF1<0同時(shí)在SKIPIF1<0的圖象上17．已知函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0，使得SKIPIF1<0有2個(gè)零點(diǎn) B．SKIPIF1<0，使得SKIPIF1<0有3個(gè)零點(diǎn)C．若SKIPIF1<0有3個(gè)零點(diǎn)，則SKIPIF1<0 D．若SKIPIF1<0有4個(gè)零點(diǎn)，則SKIPIF1<0三、填空題18．已知SKIPIF1<0是定義在SKIPIF1<0，且滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有10個(gè)不同零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍是．19．已知函數(shù)SKIPIF1<0若SKIPIF1<0，函數(shù)SKIPIF1<0恰有三個(gè)不同的零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為．20．已知SKIPIF1<0為整數(shù)，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有正數(shù)解SKIPIF1<0，則SKIPIF1<0．21．已知函數(shù)SKI