解:(1)1.25×4×0.6×0.8×2.5,
=(1.25×0.8)×(2.5×4)×0.6,
=1×10×0.6,
=6;
(2)

×[2

+(

-

)÷

],
=

[2

+(

)÷

],
=

[2

+(

)×3],
=

×[2

+

],
=

×[2

+

],
=

,
=1;
(3)4

+4.2×7

+1

×4

,
=4.2+4.2×7

+1

×4.2,
=4.2×(1+7


),
=4.2×10,
=42;
(4)3

×

(4.5-0.625

)÷30%,
=

÷(4.5-

)×

,
=

÷(4.5-2)×

,
=

×

×

,
=(

)×

,
=14×

,
=

,
=5

;
(5)1

:1

=X:

,
1

x=1

×

,
1

x=

,

x×

=

,
x=

(

),
x=


,
x=

;
(6)5×0.36-0.75X=

,
1.8-0.75x=0.6,
0.75x=1.2,

x×

=1.2×

,
x=1.6;
分析:(1)运用乘法的结合律、交换律进行计算;
(2)(4)按照分数的四则混合运算的顺序进行计算,先算括号内部的,在计算括号外面的;
(3)本题运用乘法的分配律进行计算,使计算更加简便.
(5)解比例,根据比例的基本性质进行解答.
(6)解方程,依据等式的基本性质进行解答.
点评:此题考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.