新高考数学一轮复习讲与练第02讲 等式性质与不等式（练）（原卷版）

第02讲等式性质与不等式1．已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小关系为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值是（

）A．11 B．9 C．8 D．63．已知实数SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知正实数SKIPIF1<0、SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的取值可能为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0（多选）5．已知SKIPIF1<0，则下列命题正确的是（

）A．若SKIPIF1<0，则SKIPIF1<0 B．若SKIPIF1<0，则SKIPIF1<0C．若SKIPIF1<0，则SKIPIF1<0 D．若SKIPIF1<0，则SKIPIF1<0（多选）6．已知a，b，SKIPIF1<0，则下列不等式正确的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．已知实数SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0的最小值为___________.8．非负实数x，y满足SKIPIF1<0，则SKIPIF1<0的最小值为______．9．若正数a，b满足SKIPIF1<0，则SKIPIF1<0的最小值为___________.1．若SKIPIF1<0，且SKIPIF1<0，则下列不等式中一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0且SKIPIF1<0，则下列不等式中一定成立的是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．设SKIPIF1<0，则SKIPIF1<0的最大值为（

）A．0 B．不存在 C．SKIPIF1<0 D．SKIPIF1<04．若SKIPIF1<0、SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值为（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．若正数SKIPIF1<0满足SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．6 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<07．若SKIPIF1<0，SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值为（

）A．9 B．16 C．49 D．81（多选）8．下列命题为真命题的是（

）A．若SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0 B．若SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0C．若SKIPIF1<0，则SKIPIF1<0 D．若SKIPIF1<0，SKIPIF1<0，则SKIPIF1<0（多选）9．设正实数m、n满足SKIPIF1<0，则下列说法正确的是（

）A．SKIPIF1<0的最小值为3 B．SKIPIF1<0的最大值为1C．SKIPIF1<0的最小值为2 D．SKIPIF1<0的最小值为2（多选）10．已知正实数SKIPIF1<0满足SKIPIF1<0，则（

）A．SKIPIF1<0B．SKIPIF1<0的最小值为SKIPIF1<0C．SKIPIF1<0的最小值为9D．SKIPIF1<0的最小值为SKIPIF1<011．若SKIPIF1<0，则SKIPIF1<0的最小值为___________.1．（2019·浙江·高考真题）若SKIPIF1<0，则“SKIPIF1<0”是“SKIPIF1<0”的A．充分不必要条件 B．必要不充分条件C．充分必要条件 D．既不充分也不必要条件2．（2011·全国·高考真题（文））下面四个条件中，使SKIPIF1<0成立的充分而不必要的条件是A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2015·天津·高考真题（理））设SKIPIF1<0，则“SKIPIF1<0”是“SKIPIF1<0”的（

）A．充分而不必要条件 B．必要而不充分条件C．充要条件 D．既不充分也不必要条件（多选）4．（2022·全国·高考真题）若x，y满足SKIPIF1<0，则（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0（多选）5．（2020·海南·高考真题）已知a>0，b>0，且a+b=1，则（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<06．（2020·天津·高考真题）已知SKIPIF1<0，且SKIPIF1<0，则SKIPIF1<0的最小值为_________．7．（2019·天津·高考真题（理））设SKIPIF1<0，则SKIPIF1<0的最小值为______.8．（2017·山东·高考真题（文））若直线SKIPIF1<0过点SKIPIF