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.

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完形填空。
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