新高考数学二轮复习培优专题17等式与不等式综合问题（单选+填空）（原卷版）

试卷第=page11页，共=sectionpages33页专题17等式与不等式综合问题（单选+填空）一、单选题1．（2023秋·江苏扬州·高三仪征中学校联考期末）已知SKIPIF1<0且SKIPIF1<0，则SKIPIF1<0的最小值是（

）A．9 B．10 C．SKIPIF1<0 D．SKIPIF1<02．（2023春·浙江宁波·高三校联考阶段练习）非零实数SKIPIF1<0满足SKIPIF1<0成等差数列，则SKIPIF1<0的最小值为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．3 D．SKIPIF1<03．（2023秋·广东潮州·高三统考期末）正实数SKIPIF1<0满足SKIPIF1<0，且不等式SKIPIF1<0恒成立，则实数SKIPIF1<0的取值范围（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2023春·湖南长沙·高三湖南师大附中校考阶段练习）已知函数SKIPIF1<0，正数SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的最小值（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2023·湖南岳阳·统考一模）已知正实数x，y满足SKIPIF1<0，则下列不等式恒成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2023·山东菏泽·统考一模）设实数SKIPIF1<0满足SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．（2023·山东潍坊·校考一模）若正实数a，b满足SKIPIF1<0，且SKIPIF1<0，则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·河北邢台·高三统考期末）若SKIPIF1<0，且SKIPIF1<0，则（

）A．SKIPIF1<0的最小值为SKIPIF1<0 B．SKIPIF1<0的最小值为SKIPIF1<0C．SKIPIF1<0的最小值为16 D．SKIPIF1<0没有最小值9．（2023秋·河北邯郸·高三统考期末）已知SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．10 B．9 C．SKIPIF1<0 D．SKIPIF1<010．（2023春·浙江绍兴·高三统考开学考试）对于任意实数SKIPIF1<0及SKIPIF1<0，均有SKIPIF1<0，则实数SKIPIF1<0的取值范围是（

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

）A．0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空题12．（2023秋·江苏扬州·高三校联考期末）已知关于SKIPIF1<0，SKIPIF1<0，若SKIPIF1<0时，关于SKIPIF1<0的不等式SKIPIF1<0恒成立，则SKIPIF1<0的最小值为______.13．（2023秋·江苏扬州·高三校考期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0是正实数，且SKIPIF1<0，则SKIPIF1<0最小值为__________.14．（2023春·江苏扬州·高三扬州市新华中学校考开学考试）若曲线SKIPIF1<0在点SKIPIF1<0SKIPIF1<0处的切线也是曲线SKIPIF1<0的切线，则SKIPIF1<0的最小值为_____．15．（2023春·浙江杭州·高三浙江省杭州第二中学校考阶段练习）已知正实数SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的最小值是___________.16．（2023·浙江·永嘉中学校联考模拟预测）已知实数SKIPIF1<0，满足SKIPIF1<0，则SKIPIF1<0的最小值是______.17．（2023春·广东江门·高三校联考开学考试）已知正数x，y，z满足SKIPIF1<0，当SKIPIF1<0取最大值时，SKIPIF1<0的最小值为______.18．（2023秋·广东·高三校联考期末）已知a，b都是正数，则SKIPIF1<0的最小值是______．19．（2023秋·湖南长沙·高三校考阶段练习）已知数列SKIPIF1<0的前SKIPIF1<0项和为SKIPIF1<0，且SKIPIF1<0，若存在两项SKIPIF1<0，使得SKIPIF1<0，则SKIPIF1<0的最小值为_____________.20．（2023春·湖北荆州·高三沙市中学校考阶段练习）若SKIPIF1<0，且SKIPIF1<0，SKIPIF1<0的最小值为m，SKIPIF1<0的最大值为n，则mn为___________，21．（2023春·湖北武汉·高三华中师大一附中校考阶段练习）已知正数a，b满足SKIPIF1<0，则SKIPIF1<0___________.22．（2023·山东济宁·统考一模）已知函数SKIPIF1<0且SKIPIF1<0的图象过定点A，且点A在直线SKIPIF1<0上，则SKIPIF1<0的最小值是______.23．（2023秋·河北·高三统考阶段练习）已知SKIPIF1<0，则SKIPIF1<0的最小值为___________．24．（2023·重庆渝中·高三重庆巴蜀中学校考阶段练习）已知实数a，b满足SKIPIF1<0，则SKIPIF1<0的最大值为_____________．25．（2023·重庆·统考一模）已知SKIPIF1<0，则SKIPIF1<0的最小值是___________.26．（2023·黑龙江哈尔滨·哈尔滨三中校考一模）已知SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值为______．27．（2023秋·山西长治·高三校联考阶段练习）已知两个正数SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的最大值为__________.28．（2023·吉林·长春十一高校联考模拟预测）已知正实数x，y满足SKIPIF1<0，则SKIPIF1<