>
数学
>
设偶函数f(x)对任意x∈R,都有f(x+3)=-
1
f(x)
,且当x∈[-3,-2]时,f(x)=4x,则f(107.5)=( )
A. 10
B.
1
10
C. -10
D. -
1
10
人气:106 ℃ 时间:2020-06-16 06:06:24
解答
因为f(x+3)=-
1
f(x)
,故有f(x+6)=-
1
f(x+3)
=-
1
−
1
f(x)
=f(x).函数f(x)是以6为周期的函数.
f(107.5)=f(6×17+5.5)=f(5.5)=-
1
f(2.5)
=-
1
f(−2.5)
=-
1
4×(−2.5)
=
1
10
.
故选B
推荐
设偶函数f(x)对任意x∈R,都有f(x+3)=-1f(x),且当x∈[-3,-2]时,f(x)=4x,则f(107.5)=( ) A.10 B.110 C.-10 D.-110
设偶函数f(x)对任意x∈R,都有f(x+3)=-1f(x),且当x∈[-3,-2]时,f(x)=4x,则f(107.5)=( ) A.10 B.110 C.-10 D.-110
偶函数f(x)对任意实数都有f(x+3)=-1÷f(x),且当x∈【-3,-2】时,f(x)=4x,则f(107.5)=?
设a为常数,f(x)=x²-4x+3,若f(x+a)为偶函数,求a
设偶函数f(x)对任意x∈R,都有f(x+3)=-1f(x),且当x∈[-3,-2]时,f(x)=4x,则f(107.5)=( ) A.10 B.110 C.-10 D.-110
三次根号60的整数部分x,小数部分为x,求xy+x^2的值
写出下列句子采用的修辞手法
关于原子大小的问题
猜你喜欢
My grand is healthy.改成同义句My grandpa is () good ()
三分之二×6表示( );三分之二÷6表示( )
有哪些闽南童谣,
化简一个分数时用2约了两次,用3约了一次,得六分之五,这个数原来是多少
Mrs Green is often (stress) out 用括号内适当形式填空
Chinese names are not the same as the English names.改为同义句
I didn’t know why he looked angry when I patted him ______.
时态:It____to store this glass,which the nuclear waste was turned into,in deep underground mines.
© 2024 79432.Com All Rights Reserved.
电脑版
|
手机版