新高考數(shù)學(xué)一輪復(fù)習(xí)講練測(cè)專題3.8函數(shù)與方程（練）原卷版

專題3.8函數(shù)與方程練基礎(chǔ)練基礎(chǔ)1．（2021·浙江高一期末）方程SKIPIF1<0（其中SKIPIF1<0）的根所在的區(qū)間為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2021·湖北黃岡市·黃岡中學(xué)高三其他模擬）若函數(shù)SKIPIF1<0在區(qū)間（－1，1）上有兩個(gè)不同的零點(diǎn)，則實(shí)數(shù)a的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．（2，＋∞） D．（0，2）3．（2021·江西高三其他模擬（理））已知函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0，僅有1個(gè)零點(diǎn)，則實(shí)數(shù)SKIPIF1<0的取值范圍為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2021·全國高三其他模擬）已知SKIPIF1<0，有下列四個(gè)命題：SKIPIF1<0：SKIPIF1<0是SKIPIF1<0的零點(diǎn)；SKIPIF1<0：SKIPIF1<0是SKIPIF1<0的零點(diǎn)；SKIPIF1<0：SKIPIF1<0的兩個(gè)零點(diǎn)之和為1SKIPIF1<0：SKIPIF1<0有兩個(gè)異號(hào)零點(diǎn)若只有一個(gè)假命題，則該命題是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05.（2021·山東煙臺(tái)市·高三二模）已知函數(shù)SKIPIF1<0是定義在區(qū)間SKIPIF1<0上的偶函數(shù)，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則方程SKIPIF1<0根的個(gè)數(shù)為（）A．3 B．4 C．5 D．66．【多選題】（2021·湖北荊州市·荊州中學(xué)高三其他模擬）在下列區(qū)間中，函數(shù)SKIPIF1<0一定存在零點(diǎn)的區(qū)間為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．【多選題】（2021·遼寧高三月考）已知定義域?yàn)镾KIPIF1<0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，SKIPIF1<0，則（）A．SKIPIF1<0是偶函數(shù) B．SKIPIF1<0的圖象關(guān)于SKIPIF1<0對(duì)稱C．SKIPIF1<0在SKIPIF1<0上有3個(gè)實(shí)數(shù)根 D．SKIPIF1<08．（2020·全國高三專題練習(xí)）函數(shù)f（x）=（x-2）2-lnx的零點(diǎn)個(gè)數(shù)為______．9.（湖南高考真題）若函數(shù)f(x)=|2x?2|?b10．（2020·全國高三專題練習(xí)）設(shè)函數(shù)y＝x3與y＝x－2的圖象的交點(diǎn)為(x0，y0)，若x0∈(n，n＋1)，n∈N，則x0所在的區(qū)間是________．練提升TIDHNEG練提升TIDHNEG1．（2021·河南高三月考（文））已知函數(shù)SKIPIF1<0，若關(guān)于SKIPIF1<0的方程SKIPIF1<0有四個(gè)不同的實(shí)根，則實(shí)數(shù)SKIPIF1<0的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2021·臨川一中實(shí)驗(yàn)學(xué)校高三其他模擬（文））已知實(shí)數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，若方程SKIPIF1<0的兩個(gè)實(shí)根分別為SKIPIF1<0，SKIPIF1<0，則不等SKIPIF1<0成立的概率是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·浙江杭州市·杭十四中高三其他模擬）已知二次函數(shù)SKIPIF1<0有兩個(gè)不同的零點(diǎn)，若SKIPIF1<0有四個(gè)不同的根SKIPIF1<0，且SKIPIF1<0成等差數(shù)列，則SKIPIF1<0不可能是（）A．0 B．1 C．2 D．34．（2021·浙江湖州市·高三二模）“關(guān)于SKIPIF1<0的方程SKIPIF1<0有解”的一個(gè)必要不充分條件是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2021·遼寧高三月考）已知SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且滿足SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0內(nèi)的零點(diǎn)個(gè)數(shù)為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2021·浙江高三其他模擬）設(shè)SKIPIF1<0是常數(shù)，若函數(shù)SKIPIF1<0不可能有兩個(gè)零點(diǎn)，則b的取值情況不可能為（）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0C．1 D．SKIPIF1<07．（2021·江西撫州市·高三其他模擬（文））若函數(shù)f(x)滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0．若在區(qū)間SKIPIF1<0內(nèi)SKIPIF1<0有兩個(gè)零點(diǎn)則實(shí)數(shù)m的取值范圍是（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．【多選題】（2021·全國高三其他模擬）已知函數(shù)SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，且滿足SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0．則下列四個(gè)命題中正確的是（）A．函數(shù)SKIPIF1<0為奇函數(shù)B．函數(shù)SKIPIF1<0為偶函數(shù)C．函數(shù)SKIPIF1<0的周期為8D．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有4個(gè)零點(diǎn)9．（2021·晉中市新一雙語學(xué)校高三其他模擬（文））規(guī)定記號(hào)"SKIPIF1<0"表示一種運(yùn)算，即SKIPIF1<0，若SKIPIF1<0，函數(shù)SKIPIF1<0的圖象關(guān)于直線SKIPIF1<0對(duì)稱，則SKIPIF1<0___________.10．（2021·上海格致中學(xué)高三三模）已知函數(shù)SKIPIF1<0的定義域是SKIPIF1<0，滿足SKIPIF1<0且SKIPIF1<0，若存在實(shí)數(shù)k，使函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上恰好有2021個(gè)零點(diǎn)，則實(shí)數(shù)a的取值范圍為____練真題TIDHNEG練真題TIDHNEG1.（2018·全國高考真題（理））已知函數(shù)f(x)=ex，x≤0，lnx，x>0，g(x)=f(x)+x+a．若gA．[–1，0）B．[0，+∞）C．[–1，+∞）D．[1，+∞）2.（2021年浙江省高考數(shù)學(xué)試題）已知SKIPIF1<0，函數(shù)SKIPIF1<0若SKIPIF1<0，則SKIPIF1<0___________.3.（安徽高考真題）在平面直角坐標(biāo)系中，若直線與函數(shù)的圖像只有一個(gè)交點(diǎn)，則的