问题
填空题
设f(x)=
|
答案
∵f(x)=
x≠18x-1 x-18 -6 x=18
x≠18时,f(x)+f(36-x)=
+x-1 x-18
=235-x 18-x
∴f(1)+f(2)+…+f(35)
=[f(1)+f(35)]+[f(2)+f(34)]+…+[f(17)+f(19)]+f(18)
=17×2-6
=28
故答案为28
设f(x)=
|
∵f(x)=
x≠18x-1 x-18 -6 x=18
x≠18时,f(x)+f(36-x)=
+x-1 x-18
=235-x 18-x
∴f(1)+f(2)+…+f(35)
=[f(1)+f(35)]+[f(2)+f(34)]+…+[f(17)+f(19)]+f(18)
=17×2-6
=28
故答案为28