解:(1)1375+625÷25×8,
=1375+25×8,
=1375+200,
=1575;
(2)32÷

-17.5+2.5,
=40-17.5+2.5,
=22.5+2.5,
=25;
(3)1

×

+2

×

+

,
=(1

+2

+1)×

,
=5×

,
=4;
(4)3.7÷[(4

-2.9)÷(

÷0.4)],
=3.7÷[1.85÷0.5],
=3.7÷3.7,
=1;
(5)3-1.125+1

,
=1

+1

,
=

;
(6))(

+

+…+

)×(1+

+…+

)-(1+

+…+

)×(

+

+…+

),
=(

+

+…+

)×1+(

+

+…+

)×(

+…+

)-(1+

+…+

)×(

+

+…+

),
=(

+

+…+

)×1+[(

+

+…+

)-(1+

+…+

)]×(

+

+…+

),
=(

+

+…+

)+(-1)×(

+

+…+

),
=(

+

+…+

)-(

+

+…+

),
=

+

+…+

-

-

-…-

,
=(

-

)+(

-

)+…+(

-

)+

,
=

.
分析:(1)先算除法,在算乘法,最后算加法;
(2)先算除法,然后算減法,最后算加法;
(3)運(yùn)用乘法分配律簡(jiǎn)算;
(4)先同時(shí)運(yùn)算小括號(hào)里面的,再算中括號(hào)里面的除法,最后算括號(hào)外的除法;
(5)按照從左到右的順序計(jì)算;
(6)通過先把前半部分用乘法分配律簡(jiǎn)算,然后再和后半部分結(jié)合運(yùn)用乘法分配律簡(jiǎn)算.
點(diǎn)評(píng):四則混合運(yùn)算的順序:1、如果是同一級(jí)運(yùn)算,一般按從左往右依次進(jìn)行計(jì)算;
2、如果既有加減、又有乘除法,先算乘除法、再算加減;
3、如果有括號(hào),先算括號(hào)里面的;
4、如果符合運(yùn)算定律,可以利用運(yùn)算定律進(jìn)行簡(jiǎn)算.