解:(1)(

+

+

)×2

,
=

×

+

×

+

×

,
=

×

+

×

+

,
=(

+

+

)×

,
=(

+

+

)×

,
=

×

,
=

;
(2)37-0.37×8.28-3.7×0.172,
=3.7×10-3.7×0.828-3.7×0.172,
=(10-0.828-0.172)×3.7,
=[10-(0.828+0.172)]×3.7,
=[10-1]×3.7,
=10×3.7-3.7,
=37-3.7,
=33.3;
(3)(2

-1

)×1.6÷(1.82×

),
=(

)×

÷

,
=

×

×

,
=

;
(4)[6-(

+

)×30]÷(1

×0.9),
=[6-(

)×30]÷(

),
=[6-

30]÷

,
=[6-

]×

,
=

×

,
=

;
(5)[0.75-(2

-1

)÷4]÷[(1

+2

)÷2

-

],
=[

-(

)×

]÷[(1

+2

)÷

-

],
═[

-

×

]÷[

×

-

],
=[

-

]÷[

-

],
=

÷

,
=

,
=

.
分析:(1)運用乘法分配律計算,但要注意把結(jié)果寫成

×

+

×

+

,然后再運用乘法分配律的逆運算簡算;
(2)根據(jù)積不變的規(guī)律,把原式改寫成3.7×10-3.7×0.828-3.7×0.172,然后運用乘法分配律的逆運算簡算;
(3)把小數(shù)化為分數(shù),然后按運算順序計算,先算括號內(nèi)的,再算括號外的;
(4)把小數(shù)改為分數(shù),然后按運算順序計算,用乘法分配律計算(

+

)×30;
(5)此題含有兩個中括號,同時進行計算,兩部分都是先算小括號內(nèi)的,再算中括號內(nèi)的.
點評:此題考查學(xué)生對四則混合運算順序的掌握情況,以及對運算定律的恰當使用.