解:(1)0.125×0.25×8×4,
=(0.125×8)×(0.25×4),
=1×1,
=1;
(2)[5-1.7÷(2-1)]×1,
=[5-1.7÷1]×1,
=[5-1.7]×1,
=3.3×1,
=3.3;
(3)87×
,
=(86+1)×
,
=86×
+1×
,
=3+
,
=3
;
(4)
÷(
+
)×
,
=
÷
×
,
=
×
,
=1;
(5)3.9÷1.5-2.3×0.5,
=2.6-1.15,
=1.45;
(6)1
÷
-
×
,
=2-
,
=1
.
分析:(1)運(yùn)用乘法交換律和結(jié)合律簡(jiǎn)算;
(2)先算小括號(hào)里面的減法,再算小括號(hào)里面的除法,然后算中括號(hào)里面的減法,最后算括號(hào)外的乘法;
(3)先把87分解成86+1,再運(yùn)用乘法分配律簡(jiǎn)算;
(4)先算小括號(hào)里面的加法,再算括號(hào)外的除法,最后算乘法;
(5)(6)同時(shí)運(yùn)算除法和乘法,最后算減法.
點(diǎn)評(píng):此題主要考查分?jǐn)?shù)、整數(shù)、小數(shù)的四則混合運(yùn)算的運(yùn)算順序和應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算.