问题
选择题
a,b为正实数是a2+b2≥2ab的( )
A.充分不必要条件
B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
答案
∵当a,b为正实数时一定可以看出重要不等式成立,
当a2+b2≥2ab成立时,不一定推出a,b都是正数,这里对数字的正负没有限制,
故前者可以推出后者,而后者不能推出前者,
∴前者是后者的充分不必要条件,
故选A.
a,b为正实数是a2+b2≥2ab的( )
A.充分不必要条件
B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
∵当a,b为正实数时一定可以看出重要不等式成立,
当a2+b2≥2ab成立时,不一定推出a,b都是正数,这里对数字的正负没有限制,
故前者可以推出后者,而后者不能推出前者,
∴前者是后者的充分不必要条件,
故选A.
完形填空。 | ||||
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