解:(1)23×0.75+27×
+50×75%,
=(23+27+50)×0.75,
=100×0.75,
=75.
(2)2-2÷3,
=2
,
=1
;
(3)
÷(
+
),
=
,
=
,
=
;
(4)6
-(2
),
=6
-2
,
=4
,
=4
;
(5)1.25×0.25×32,
=(1.25×8)×(0.25×4),
=10×1,
=10;
(6)8.5
,
=8.5
,
=8.5-5,
=3.5;
(7)2011×
,
=(2010+1)×
,
=2010×
,
=2009
,
=2009
;
(8)12.7×99+12.7,
=12.7×(99+1),
=12.7×100,
=1270;
(9)
×〔
-(
-
)〕,
=
[
-
],
=
,
=
;
(10)87×101,
=87×100+87,
=8700+87,
=8787;
(11)1200-197,
=1200-200+3,
=1003.
分析:(1)23×0.75+27×
+50×75%,把分?jǐn)?shù)、百分?jǐn)?shù)化成小數(shù),再運(yùn)用乘法分配律進(jìn)行簡算.
(2)2-2÷3,按照運(yùn)算順序直接進(jìn)行簡算;
(3)
÷(
+
),根據(jù)分?jǐn)?shù)四則混合運(yùn)算的順序,按照分?jǐn)?shù)四則運(yùn)算的計(jì)算法則進(jìn)行計(jì)算;
(4)6
-(2
),根據(jù)減法的運(yùn)算性質(zhì)進(jìn)行簡算;
(5)1.25×0.25×32,把32 分解為8×4,再運(yùn)用乘法交換律和結(jié)合律進(jìn)行簡算;
(6)8.5
,根據(jù)混合運(yùn)算的運(yùn)算順序,按照法則進(jìn)行計(jì)算;
(7)2011×
,轉(zhuǎn)化為:(2010+1)×
,再運(yùn)用乘法分配律進(jìn)行簡算;
(8)12.7×99+12.7,運(yùn)用乘法分配律進(jìn)行簡算;
(9)
×〔
-(
-
)〕,根據(jù)分?jǐn)?shù)四則混合運(yùn)算的順序,按照分?jǐn)?shù)四則運(yùn)算的計(jì)算法則進(jìn)行計(jì)算;
(10)87×101,運(yùn)用乘法分配律進(jìn)行簡算;
(11)1200-197,根據(jù)減法的運(yùn)算性質(zhì)進(jìn)行簡算;
點(diǎn)評:此題主要考查整數(shù)、小數(shù)、分?jǐn)?shù)四則混合運(yùn)算,注意運(yùn)算順序和計(jì)算法則,靈活選擇簡便方法進(jìn)行計(jì)算.