新高考數(shù)學(xué)一輪復(fù)習講練測第2章第07講 函數(shù)與方程（練習）（原卷版）

第07講函數(shù)與方程（模擬精練+真題演練）1．函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的零點個數(shù)是（

）A．3 B．4 C．5 D．62．設(shè)SKIPIF1<0表示m，n中的較小數(shù)．若函數(shù)SKIPIF1<0至少有3個零點，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0，若SKIPIF1<0恰有兩個零點，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04.函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)的零點個數(shù)是（

）A．2 B．3 C．4 D．55．已知函數(shù)SKIPIF1<0，則方程SKIPIF1<0的實根個數(shù)為（

）A．3 B．4 C．5 D．66．已知函數(shù)SKIPIF1<0若存在實數(shù)SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，滿足SKIPIF1<0，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在SKIPIF1<0上恰有5個不同實根，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．從古至今，中國人一直追求著對稱美學(xué)．世界上現(xiàn)存規(guī)模最大、保存最為完整的木質(zhì)結(jié)構(gòu)——故宮：金黃的宮殿，朱紅的城墻，漢白玉的階，琉璃瓦的頂……沿著一條子午線對稱分布，壯美有序，和諧莊嚴，映祇著藍天白云，宛如東方仙境．再往遠眺，一線貫穿的對稱風格，撐起了整座北京城．某建筑物的外形輪廓部分可用函數(shù)SKIPIF1<0的圖像來刻畫，滿足關(guān)于SKIPIF1<0的方程SKIPIF1<0恰有三個不同的實數(shù)根SKIPIF1<0，且SKIPIF1<0（其中SKIPIF1<0），則SKIPIF1<0的值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（多選題）已知定義域為SKIPIF1<0的函數(shù)SKIPIF1<0滿足SKIPIF1<0不恒為零，且SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0是奇函數(shù)C．SKIPIF1<0的圖像關(guān)于直線SKIPIF1<0對稱 D．SKIPIF1<0在[0，10]上有6個零點10．（多選題）下列函數(shù)中，是奇函數(shù)且存在零點的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．（多選題）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則下列結(jié)論正確的是（

）A．函數(shù)SKIPIF1<0在SKIPIF1<0上單調(diào)遞增B．存在SKIPIF1<0，使得函數(shù)SKIPIF1<0為奇函數(shù)C．任意SKIPIF1<0，SKIPIF1<0D．函數(shù)SKIPIF1<0有且僅有2個零點12．（多選題）已知函數(shù)SKIPIF1<0和SKIPIF1<0都是偶函數(shù)，當SKIPIF1<0時，SKIPIF1<0，則下列正確的結(jié)論是（

）A．當SKIPIF1<0時，SKIPIF1<0B．若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有兩個零點SKIPIF1<0、SKIPIF1<0，則有SKIPIF1<0C．函數(shù)SKIPIF1<0在SKIPIF1<0上的最小值為SKIPIF1<0D．SKIPIF1<013．已知冪函數(shù)SKIPIF1<0的圖像過點SKIPIF1<0，則函數(shù)SKIPIF1<0的零點為________．14．已知SKIPIF1<0且SKIPIF1<0，方程SKIPIF1<0有且僅有兩個不等根，則SKIPIF1<0的取值范圍為______15．定義開區(qū)間SKIPIF1<0的長度為SKIPIF1<0．經(jīng)過估算，函數(shù)SKIPIF1<0的零點屬于開區(qū)間____________（只要求寫出一個符合條件，且長度不超過SKIPIF1<0的開區(qū)間）．16．已知函數(shù)SKIPIF1<0，若SKIPIF1<0存在四個不相等的實根SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值是__________．1．已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0恰有4個零點，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0，函數(shù)SKIPIF1<0，若函數(shù)SKIPIF1<0恰有三個零點，則A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0若方程SKIPIF1<0有兩個不相等的實根，則實數(shù)SKIPIF1<0的取值范圍是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知函數(shù)SKIPIF1<0SKIPIF1<0．若g（x）存在2個零點，則a的取值范圍是A．[–1，0） B．[0，+∞） C．[–1，+∞） D．[1，+∞）5．函數(shù)SKIPIF1<0的圖象與函數(shù)SKIPIF1<0的圖象的交點個數(shù)為A．3 B．2 C．1 D．06．設(shè)SKIPIF1<0，對任意實數(shù)x，記SKIPIF1<0．若SKIPIF1<0至少有3個零點，則實數(shù)SKIPIF1<0的取值范圍為______.7．已知函數(shù)SKIPIF1<0，給出下列四個結(jié)論：①若SKIPIF1<0，SKIPIF1<0恰有2個零點；②存在負數(shù)SKIPIF1<0，使得SKIPIF1<0恰有1個零點；③存在負數(shù)SKIPIF1<0，使得