解:(1)36÷[(
-
)×3],
=36÷[
×3],
=36
,
=24;
(2)(0.125×8-0.5)×4,
=(1-0.5)×4,
=0.5×4,
=2;
(3)16÷
+24×
,
=16×
+24×
,
=(16+24)×
,
=40×
,
=24;
(4)75÷
+
×25,
=625+3,
=628;
(5)(
+
-
)×18,
=
×18+
×18-
×18,
=9+12-15,
=21-15,
=6;
(6)
:
=10:x,
x=
×10,
x=2,
x
=2
,
x=4;
(7)
=
,
75x=1.2×25,
75x=30,
75x÷75=30÷75,
x=0.4;
(8)5x-18.5×20%=2.3,
5x-3.7=2.3,
5x-3.7+3.7=2.3+3.7,
5x=6,
5x÷5=6÷5,
x=1.2.
分析:(1)先算小括號(hào)里面的減法,再算中括號(hào)里面的乘法,最后算括號(hào)外的除法;
(2)先算小括號(hào)里面的乘法,再算小括號(hào)里面的減法,最后算括號(hào)外的乘法;
(3)先把除法變成乘法,再運(yùn)用乘法分配律簡(jiǎn)算;
(4)同時(shí)運(yùn)算乘法和除法,再算加法;
(5)運(yùn)用乘法分配律簡(jiǎn)算;
(6)(7)根據(jù)比例的性質(zhì)解比例;
(8)根據(jù)等式的性質(zhì)解方程.
點(diǎn)評(píng):此題主要考查分?jǐn)?shù)的四則混合運(yùn)算的運(yùn)算順序,以及應(yīng)用運(yùn)算定律進(jìn)行簡(jiǎn)便計(jì)算的能力.