问题 填空题
在下 * * 个函数中,①y=2x,②y=log2x,③y=x2,④y=x-1,⑤y=cos2x.当0<x1<x2<1
时,使f(
x1+x2
2
)>
f(x1)+f(x2)
2
恒成立的函数是______(将正确序号都填上).
答案

f(

x1+x2
2
)>
f(x1)+f(x2)
2
;表示连接两点A(x1,f(x1)),B (x2,f(x2))的线段的中点纵坐标小于f(x)在曲线AB中点 (
x1+x2
2
,f(
x1+x2
2
))
;的纵坐标,

也就是说f(x)的图象“上凸”.所以只需判断哪个函数的图象“上凸”即可.

由图形可直观得到:①③④⑤的图象都不是上凸的,只有②为“上凸”的函数.

故答案为:②.

填空题



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Preparing tax documents can be complex. The I.R.S. estimates that taxpayers need an average of about 13 hours to prepare tax documents. And that is just for the basic tax form. For business, the I.R.S. estimates an (54) needs more than 50 hours. This is why a lot of Americans pay (55) to complete their tax documents for them.

单项选择题