解:(1)0.21÷[1-(4-3.25)],
=0.21÷[1-0.75],
=0.21÷0.25,
=0.84;
(2)(580-3660÷12)×5,
=(580-305)×5,
=275×5,
=1375;
(3)
×(
+
÷
),
=
×(
+
×
),
=
×(
+
),
=
×
,
=
;
(4)[
-(
+
)]÷
,
=[
-(
+
)]×6,
=[
-
]×6,
=[
]×6,
=
×6,
=1.
分析:(1)按運(yùn)算順序進(jìn)行計(jì)算,先算小括號(hào)內(nèi)的,再算中括號(hào)內(nèi)的,最后算括號(hào)外的;
(2)按運(yùn)算順序進(jìn)行計(jì)算,先算括號(hào)內(nèi)的除法,再算括號(hào)內(nèi)的減法,最后算括號(hào)外的乘法;
(3)按運(yùn)算順序進(jìn)行計(jì)算,先算括號(hào)內(nèi)的除法,再算括號(hào)內(nèi)的加法,最后算括號(hào)外的乘法.
(4)按運(yùn)算順序進(jìn)行計(jì)算,先算小括號(hào)內(nèi)的,即(
+
),注意通分,再算中括號(hào)內(nèi)的減法,最后算括號(hào)外的除法.
點(diǎn)評(píng):此題重點(diǎn)考查學(xué)生對(duì)四則混合運(yùn)算順序的掌握情況以及計(jì)算能力.