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×(

),用乘法分配律简算;
(2)8470-104×65,把104看作100+4;
(3)1.3-3.79+9.7-6.21,运用加法结合律简算;
(4)3.64÷4+4.36×0.25,把原式变为3.64×

+4.36×

,然后用乘法分配律的逆运算简算;
(5)(

)×4×9,括号内的两个数先通分,计算后为

,括号外4×9=36,约分即可;
(6)

…

,分子都是2,把分子提取出来,括号内的算式可简算.
点评:此题考查了学生四则混合运算的顺序,以及运用所学知识灵活计算的能力.