新高考數(shù)學(xué)二輪復(fù)習(xí)培優(yōu)專題17等式與不等式綜合問題（單選+填空）（原卷版）

試卷第=page11頁，共=sectionpages33頁專題17等式與不等式綜合問題（單選+填空）一、單選題1．（2023秋·江蘇揚州·高三儀征中學(xué)校聯(lián)考期末）已知SKIPIF1<0且SKIPIF1<0，則SKIPIF1<0的最小值是（

）A．9 B．10 C．SKIPIF1<0 D．SKIPIF1<02．（2023春·浙江寧波·高三校聯(lián)考階段練習(xí)）非零實數(shù)SKIPIF1<0滿足SKIPIF1<0成等差數(shù)列，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．3 D．SKIPIF1<03．（2023秋·廣東潮州·高三統(tǒng)考期末）正實數(shù)SKIPIF1<0滿足SKIPIF1<0，且不等式SKIPIF1<0恒成立，則實數(shù)SKIPIF1<0的取值范圍（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023春·湖南長沙·高三湖南師大附中?？茧A段練習(xí)）已知函數(shù)SKIPIF1<0，正數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最小值（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023·湖南岳陽·統(tǒng)考一模）已知正實數(shù)x，y滿足SKIPIF1<0，則下列不等式恒成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023·山東菏澤·統(tǒng)考一模）設(shè)實數(shù)SKIPIF1<0滿足SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·山東濰坊·?？家荒＃┤粽龑崝?shù)a，b滿足SKIPIF1<0，且SKIPIF1<0，則下列不等式一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2023秋·河北邢臺·高三統(tǒng)考期末）若SKIPIF1<0，且SKIPIF1<0，則（

）A．SKIPIF1<0的最小值為SKIPIF1<0 B．SKIPIF1<0的最小值為SKIPIF1<0C．SKIPIF1<0的最小值為16 D．SKIPIF1<0沒有最小值9．（2023秋·河北邯鄲·高三統(tǒng)考期末）已知SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的最小值為（

）A．10 B．9 C．SKIPIF1<0 D．SKIPIF1<010．（2023春·浙江紹興·高三統(tǒng)考開學(xué)考試）對于任意實數(shù)SKIPIF1<0及SKIPIF1<0，均有SKIPIF1<0，則實數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<011．（2023·浙江·統(tǒng)考一模）若SKIPIF1<0，則SKIPIF1<0的最小值是（

）A．0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題12．（2023秋·江蘇揚州·高三校聯(lián)考期末）已知關(guān)于SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0時，關(guān)于SKIPIF1<0的不等式SKIPIF1<0恒成立，則SKIPIF1<0的最小值為______.13．（2023秋·江蘇揚州·高三?？计谀┮阎猄KIPIF1<0，SKIPIF1<0，SKIPIF1<0是正實數(shù)，且SKIPIF1<0，則SKIPIF1<0最小值為__________.14．（2023春·江蘇揚州·高三揚州市新華中學(xué)?？奸_學(xué)考試）若曲線SKIPIF1<0在點SKIPIF1<0SKIPIF1<0處的切線也是曲線SKIPIF1<0的切線，則SKIPIF1<0的最小值為_____．15．（2023春·浙江杭州·高三浙江省杭州第二中學(xué)校考階段練習(xí)）已知正實數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最小值是___________.16．（2023·浙江·永嘉中學(xué)校聯(lián)考模擬預(yù)測）已知實數(shù)SKIPIF1<0，滿足SKIPIF1<0，則SKIPIF1<0的最小值是______.17．（2023春·廣東江門·高三校聯(lián)考開學(xué)考試）已知正數(shù)x，y，z滿足SKIPIF1<0，當SKIPIF1<0取最大值時，SKIPIF1<0的最小值為______.18．（2023秋·廣東·高三校聯(lián)考期末）已知a，b都是正數(shù)，則SKIPIF1<0的最小值是______．19．（2023秋·湖南長沙·高三校考階段練習(xí)）已知數(shù)列SKIPIF1<0的前SKIPIF1<0項和為SKIPIF1<0，且SKIPIF1<0，若存在兩項SKIPIF1<0，使得SKIPIF1<0，則SKIPIF1<0的最小值為_____________.20．（2023春·湖北荊州·高三沙市中學(xué)?？茧A段練習(xí)）若SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0的最小值為m，SKIPIF1<0的最大值為n，則mn為___________，21．（2023春·湖北武漢·高三華中師大一附中?？茧A段練習(xí)）已知正數(shù)a，b滿足SKIPIF1<0，則SKIPIF1<0___________.22．（2023·山東濟寧·統(tǒng)考一模）已知函數(shù)SKIPIF1<0且SKIPIF1<0的圖象過定點A，且點A在直線SKIPIF1<0上，則SKIPIF1<0的最小值是______.23．（2023秋·河北·高三統(tǒng)考階段練習(xí)）已知SKIPIF1<0，則SKIPIF1<0的最小值為___________．24．（2023·重慶渝中·高三重慶巴蜀中學(xué)?？茧A段練習(xí)）已知實數(shù)a，b滿足SKIPIF1<0，則SKIPIF1<0的最大值為_____________．25．（2023·重慶·統(tǒng)考一模）已知SKIPIF1<0，則SKIPIF1<0的最小值是___________.26．（2023·黑龍江哈爾濱·哈爾濱三中?？家荒＃┮阎猄KIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的最小值為______．27．（2023秋·山西長治·高三校聯(lián)考階段練習(xí)）已知兩個正數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的最大值為__________.28．（2023·吉林·長春十一高校聯(lián)考模擬預(yù)測）已知正實數(shù)x，y滿足SKIPIF1<0，則SKIPIF1<