解:(1)56×(
),
=56×
-56×
,
=24-21,
=3;
(2)8470-104×65,
=8470-(100+4)×65,
=8470-100×65-4×65,
=8470-6500-260,
=1710;
(3)1.3-3.79+9.7-6.21,
=(1.3+9.7)-(3.79+6.21),
=11-10,
=1;
(4)3.64÷4+4.36×0.25,
=3.64×
+4.36×
,
=(3.64+4.36)×
,
=8×
,
=2;
(5)(
)×4×9,
=(
)×36,
=
×36,
=1;
(6)
…
,
=2×(
+
+
+…+
),
=2×(
+
+
+…+
),
=2×(
),
=2×(1-
),
=2×
,
=1
.
分析:(1)56×(
),用乘法分配律簡算;
(2)8470-104×65,把104看作100+4;
(3)1.3-3.79+9.7-6.21,運(yùn)用加法結(jié)合律簡算;
(4)3.64÷4+4.36×0.25,把原式變?yōu)?.64×
+4.36×
,然后用乘法分配律的逆運(yùn)算簡算;
(5)(
)×4×9,括號內(nèi)的兩個(gè)數(shù)先通分,計(jì)算后為
,括號外4×9=36,約分即可;
(6)
…
,分子都是2,把分子提取出來,括號內(nèi)的算式可簡算.
點(diǎn)評:此題考查了學(xué)生四則混合運(yùn)算的順序,以及運(yùn)用所學(xué)知識靈活計(jì)算的能力.