问题
填空题
若f(x)=
|
答案
∵f(x)=
,4x 4x+2
∴f(1-x)=
,41-x 41-x+2
则f(x)+f(1-x)=
+4x 4x+2
=141-x 41-x+2
∵
+1 2005
=12004 2005
∴f(
)+f(1 2005
)=12004 2005
故答案为:1
若f(x)=
|
∵f(x)=
,4x 4x+2
∴f(1-x)=
,41-x 41-x+2
则f(x)+f(1-x)=
+4x 4x+2
=141-x 41-x+2
∵
+1 2005
=12004 2005
∴f(
)+f(1 2005
)=12004 2005
故答案为:1