解:(1)(
)×24-12×
,
=24×
×24-12×
,
=12+8-6,
=20-6,
=14;
(2)(1-
)÷(3.6×
),
=(1-
)÷(1.6+
),
=
÷
,
=
;
(3)8
÷9-
×13,
=8
-
-
,
=8
-(
+
),
=8
-2,
=6
;
(4)(37
+6
+42.5)
,
=(37
+42.5+6
)
,
=(80+
)×
,
=80×
+
×
,
=100+
,
=107
;
(5)3
÷0.625+
×
,
=3
+5+
,
=8
+
,
=8
;
(6)[3-(8.25-5
)]÷0.9+0.1,
=[3-2
]÷0.9+0.1,
=
÷0.9+0.1,
=
+0.1,
=
.
分析:(1)運(yùn)用乘法分配律簡算;
(2)先同時(shí)運(yùn)算兩個(gè)小括號里面的除法和乘法,再算兩個(gè)小括號里面的減法和加法,最后算括號外的除法;
(3)先算除法和乘法,再運(yùn)用減法的性質(zhì)簡算;
(4)先把小括號里面的加法運(yùn)用加法交換律簡算,再把除法變成乘法,運(yùn)用乘法分配律簡算;
(5)先同時(shí)運(yùn)算除法和乘法,再算加法;
(6)先算小括號里面的減法,再算中括號里面的減法,然后算括號外的除法,最后算括號外的加法.
點(diǎn)評: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)行簡便計(jì)算.