新高考數(shù)學(xué)一輪復(fù)習(xí)提升訓(xùn)練2.1 不等式的性質(zhì)及一元二次不等式（精練）（原卷版）

2.1不等式的性質(zhì)及一元二次不等式（精練）（提升版）題組一題組一不等式性質(zhì)1．（2022·湖北·高三階段練習(xí)）（多選）對于實(shí)數(shù)a，b，m，下列說法正確的是（

）A．若SKIPIF1<0，則SKIPIF1<0B．若SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0且SKIPIF1<0，則SKIPIF1<0D．若SKIPIF1<0，則SKIPIF1<02．（2022·山東聊城·一模）（多選）設(shè)SKIPIF1<0，且SKIPIF1<0，則(

)A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·江蘇南京·高三開學(xué)考試）（多選）下列說法中正確的有（

）A．若SKIPIF1<0，則SKIPIF1<0B．若SKIPIF1<0，則SKIPIF1<0C．SKIPIF1<0，“SKIPIF1<0恒成立”是“SKIPIF1<0”的充分不必要條件D．若SKIPIF1<0，則SKIPIF1<0的最小值為SKIPIF1<04．（2021·江蘇·高三階段練習(xí)）（多選）若不等式SKIPIF1<0與SKIPIF1<0（m，n為實(shí)數(shù)）同時成立，則下列不等關(guān)系可能成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2022·重慶八中模擬預(yù)測）（多選）已知SKIPIF1<0是實(shí)數(shù)，則下列不等關(guān)系的表述，一定正確的有（

）A．SKIPIF1<0 B．若SKIPIF1<0，則SKIPIF1<0C．若SKIPIF1<0，則SKIPIF1<0 D．若SKIPIF1<0.則SKIPIF1<06．（2022·湖南長沙·高三階段練習(xí)）（多選）若SKIPIF1<0，則下列結(jié)論正確的是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0SKIPIF1<07．（2022·內(nèi)蒙古赤峰·高三期末（文））已知SKIPIF1<0，那么在下列不等式中，不成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2021·江蘇·高三期中）（多選）已知x，y∈R，且SKIPIF1<0<0，則（

）A．x-y>0 B．sinx-siny>0 C．SKIPIF1<0>0 D．SKIPIF1<0>29．（2022·天津·南開中學(xué)）已知a，b，c，d是四個互不相等的正實(shí)數(shù)，滿足SKIPIF1<0，且SKIPIF1<0，則下列選項(xiàng)正確的是（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<0題組二題組二不等式恒成立1．（2022·全國·高三專題練習(xí)）若不等式SKIPIF1<0對一切實(shí)數(shù)SKIPIF1<0都成立，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國·高三專題練習(xí)）不等式SKIPIF1<0對一切實(shí)數(shù)SKIPIF1<0恒成立，則SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·全國·高三專題練習(xí)）若對任意的SKIPIF1<0恒成立，則m的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0時，不等式SKIPIF1<0恒成立，則SKIPIF1<0的取值范圍為A．(-∞，2)∪(3，+∞) B．(-∞，1)∪(2，+∞)C．(-∞，1)∪(3，+∞) D．(1，3)5．（2022·重慶南開中學(xué)模擬預(yù)測）已知命題SKIPIF1<0：“SKIPIF1<0”為真命題，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2022·北京師大附中）關(guān)于SKIPIF1<0的不等式SKIPIF1<0對任意SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2022·浙江·高三專題練習(xí)）若關(guān)于SKIPIF1<0的不等式SKIPIF1<0對任意的SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍為____________．8．（2022·全國·高三專題練習(xí)）若不等式SKIPIF1<0對任意SKIPIF1<0及SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________．9．（2022·江蘇·高三專題練習(xí)）若對SKIPIF1<0時，不等式SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是____________..10．（2022·全國·高三專題練習(xí)）已知關(guān)于SKIPIF1<0的不等式SKIPIF1<0在區(qū)間SKIPIF1<0上有解，則實(shí)數(shù)SKIPIF1<0的取值范圍為_______題組三題組三一元二次方程（不等式）根的分布1．（2022·浙江·高三專題練習(xí)）若關(guān)于SKIPIF1<0的方程SKIPIF1<0有兩個不同的正根，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2021·河南焦作·高三期中（理））已知實(shí)系數(shù)一元二次方程SKIPIF1<0的兩個實(shí)根為SKIPIF1<0、SKIPIF1<0，并且SKIPIF1<0，則SKIPIF1<0的取值范圍是(

)A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0.3．（2022·北京海淀）已知函數(shù)SKIPIF1<0（b，c為實(shí)數(shù)），SKIPIF1<0.若方程SKIPIF1<0有兩個正實(shí)數(shù)根SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值是（

）A．4 B．2 C．1 D．SKIPIF1<04．（2021·江蘇）設(shè)a為實(shí)數(shù)，若方程SKIPIF1<0在區(qū)間SKIPIF1<0上有兩個不相等的實(shí)數(shù)解，則a的取值范圍是（

）.A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2022·河南開封）關(guān)于SKIPIF1<0的不等式SKIPIF1<0的解集為SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0（

）A．3 B．SKIPIF1<0 C．2 D．SKIPIF1<06．（2021·新疆）已知關(guān)于SKIPIF1<0的不等式組SKIPIF1<0僅有一個整數(shù)解，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2021·江蘇）若關(guān)于SKIPIF1<0的不等式SKIPIF1<0恰好有SKIPIF1<0個整數(shù)解，則實(shí)數(shù)SKIPIF1<0的范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2022·全國·高三專題練習(xí)）若關(guān)于SKIPIF1<0的不等式SKIPIF1<0恰有1個正整數(shù)解，則SKIPIF1<0的取值范圍是___________.9．（2022·全國·高三專題練習(xí)）設(shè)集合SKIPIF1<0，集合SKIPIF1<0.若SKIPIF1<0中恰含有2個整數(shù)，則實(shí)數(shù)a的取值范圍是________10．（2021·四川雅安·模擬預(yù)測（理））已知關(guān)于SKIPIF1<0的方程SKIPIF1<0在SKIPIF1<0上有實(shí)數(shù)根，且滿足SKIPIF1<0，則SKIPIF1<0的取值范圍是__________．11．（2021·江蘇·高三）已知SKIPIF1<0是實(shí)數(shù)，若a，b是關(guān)于x的一元二次方程SKIPIF1<0的兩個非負(fù)實(shí)根，則SKIPIF1<0的最小值是___________.12．（2022·山東師范大學(xué)附中）在SKIPIF1<0中，已知SKIPIF1<0是x的方程SKIPIF1<0的兩個實(shí)根，則SKIPIF1<0________．13．（2021·湖南益陽）已知關(guān)于x的方程SKIPIF1<0有4個不同的實(shí)數(shù)解，則實(shí)數(shù)a的取值范圍是___________．（2021·全國·單元測試）SKIPIF1<0為何值時，關(guān)于SKIPIF1<0的方程SKIPIF1<0的兩根：為正數(shù)根；為異號根且負(fù)根絕對值大于正根；都大于1；一根大于2，一根小于2；（5）兩根在0，2之間.題組四題組四比較大小1．（2022·四川涼山·二模（文））已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·河南·南陽中學(xué)高三階段練習(xí)（理））已知實(shí)數(shù)a，b滿足SKIPIF1<0，SKIPIF1<0，則下列判斷正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·河南·模擬預(yù)測（理））設(shè)SKIPIF1<0則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．（2022·安徽亳州·高三期末（理））設(shè)SKIPIF1<0，SKIPIF1<0，則下列結(jié)論正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2022·廣東佛山·高三階段練習(xí)）已知實(shí)數(shù)a，b滿足SKIPIF1<0，SKIPIF1<0，則下列判斷正確的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0