解:(1)25×1.25×32,
=(25×4)×(1.25×8),
=100×10,
=1000;
(2)(3.75+4.1+2.35)×9.8,
=[(3.75+2.35)+4.1]×9.8,
=[6.1+4.1]]×9.8,
=(10+0.2)×(10-0.2),
=100-0.04,
=99.96;
(3)12×(
+
-
),
=12×
+12×
-12×
,
=3+2-4,
=1;
(5)(
+
)÷
+
,
=
×
+
,
=
+
,
=
;
(6)10÷[
-(
÷
+
)],
=10÷[
-(2+
)]
=10÷[
-
],
=10÷
,
=
.
分析:(1)25×1.25×32把32拆成4×8,利用乘法的結(jié)合律變成(25×4)×(1.25×8)計(jì)算簡便;
(2)(3.75+4.1+2.35)×9.8把括號(hào)里的((3.75+4.1+2.35)變成[(3.75+2.35)+4.1]=6.1+4.1=10.2,再把9.8變成(10-0.2)平方差公式變成(10+0.2)×(10-0.2)計(jì)算;
(3)12×(
+
-
)利用乘法的結(jié)合律變成12×
+12×
-12×
計(jì)算簡便;
(4)(20.2×0.4+7.88)÷4.2利用四則運(yùn)算的順序,先算括號(hào)里的20.2×0.4再算括號(hào)里的加,最后算除;
(5)(
+
)÷
+
利用四則運(yùn)算的順序,先算括號(hào)里的加再算括號(hào)外的除,最后算加;
(6)10÷[
-(
÷
+
)]先算括號(hào)里的除再算括號(hào)里的加,然后算中括號(hào)里面的減法,最后算括號(hào)外面的除.
點(diǎn)評(píng):考查了運(yùn)算定律與簡便運(yùn)算,四則混合運(yùn)算.注意運(yùn)算順序和運(yùn)算法則,靈活運(yùn)用所學(xué)的運(yùn)算律簡便計(jì)算.