解:(1)2004×8.1+1.9×2004
=(8.1+1.9)×2004,
=10×2004,
=20040;
(2)

-(

+

×

)×

=

-(

+

)×

,
=

-

×

,
=


,
=0;
(3)(1-

)÷(

+

)
=

÷

,
=

;
(4)4.38×0.75+3.62×0.75
=(4.38+3.62)×0.75,
=8×0.75,
=6;
(5)12

×11-12.5
=12.5×11-12.5,
=(11-1)×12.5,
=10×12.5,
=125;
(6)35÷[(

-

)×3].
=35÷[

×3],
=35÷1,
=35.
分析:(1)(4)(5)可根据乘法分配律计算;
(2)(3)(6)根据四则混合运算的运算顺序计算即可:先算乘除,再算加减,有括号的要先算括号里面的.
点评:完成脱式计算时要注意计算过程的完整性,中间不要有太大跳跃.