解:(1)0.375×1

+

×1.75,
=

×1

+

×1

,
=(

+

)×1

,
=1×1

,
=1

.
(2)(

+

+

)×12,
=

×12+

×12+

×12,
=3+10+8,
=21.
(3)1

×12.5×8,
=

×(12.5×8),
=

×100,
=120.
(4)3.14÷5+3.14×

,
=3.14×

+3.14×

,
=3.14×(

+

),
=3.14×1,
=3.14.
(5)

+(9

-7

)÷2

,
=

+(

-

)÷

,
=

+(

-

)÷

,
=

+

×

,
=

+

,
=

.
(6)4

-1.65-1.35,
=4

-(1.65+1.35),
=4

-3,
=1

.
分析:(1)(2)(4)利用乘法的分配律,(3)運(yùn)用乘法結(jié)合律簡(jiǎn)化運(yùn)算;(5)若利用分配律步驟也比較繁瑣,不如按照分?jǐn)?shù)四則混合運(yùn)算順序進(jìn)行計(jì)算.(6)根據(jù)連減去兩個(gè)數(shù)就等于減去這兩個(gè)數(shù)的和進(jìn)行計(jì)算.
點(diǎn)評(píng):考查了運(yùn)算定律與簡(jiǎn)便運(yùn)算,四則混合運(yùn)算.注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算定律簡(jiǎn)便計(jì)算.