a>b>0,证2^a+1/2^a>2^b+1/2^b.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/14 19:38:11
![a>b>0,证2^a+1/2^a>2^b+1/2^b.](/uploads/image/z/8661526-70-6.jpg?t=a%3Eb%3E0%2C%E8%AF%812%5Ea%2B1%2F2%5Ea%3E2%5Eb%2B1%2F2%5Eb.)
x)KK3y(.QPH%YIz6IETo
Wh
&j4 9P![pPa]CM
@w#6yv / gY
a>b>0,证2^a+1/2^a>2^b+1/2^b.
a>b>0,证2^a+1/2^a>2^b+1/2^b.
a>b>0,证2^a+1/2^a>2^b+1/2^b.
a>b>0,
2^a+1/2^a-2^b-1/2^b=2^a-2^b+1/2^a-1/2^b=[(2^a-2^b)2^a*2^b+(2^b-2^a)]/2^a*2^b=
(2^a-2^b)(2^a*2^b-1)/2^a*2^b
2^a>2^b,2^a*2^b>1
2^a+1/2^a-(2^b+1/2^b)>0
2^a+1/2^a>2^b+1/2^b