解:(1)[2.25+(3

-1.21×

)]÷40%,
=[2.25+(3.6-0.55)]÷0.4,
=[2.25+3.05]÷0.4,
=5.3÷0.4,
=13.25;
(2)1

+2

+3

+4

+…+10

,
=(1+

)+(2+

)+(3+

)+(4+

)+…+(10+

),
=(1+2+3+4+…+10)+(

+

+

+

+…+

)
=(1+10)×10÷2+(

+

+

+

+…+

),
=11×10÷2+(1-

+

-

+

-

+

-

+…+

-

),
=55+(1-

),
=55+

,
=55

;
(3)(5.4×

+6

÷0.75)×125.5
=(5.4×

+6.6÷0.75)×125.5
=(7.2+8.8)×125.5,
=16×125.5,
=2008;
(4)(1+

+

+

)×(

+

+

+

)-(1+

+

+

+

)×(

+

+

),
=(1+

+

+

)×(

+

+

+

)-[1×(

+

+

)+(

+

+

+

)×(

+

+

)],
=(1+

+

+

)×(

+

+

+

)-(

+

+

)-(

+

+

+

)×(

+

+

),
=(

+

+

+

)×[(1+

+

+

)-(

+

+

)]-(

+

+

),
=(

+

+

+

)-(

+

+

),
=

.
分析:(1)先計(jì)算小括號里面乘法,再計(jì)算小括號里面除法,再計(jì)算中括號里面的加法,最后計(jì)算除法;
(2)把帶分?jǐn)?shù)寫成整數(shù)加分?jǐn)?shù)的形式,整數(shù)結(jié)合一起,根據(jù)求和公式即可,分?jǐn)?shù)放在一起,把分母寫成兩個(gè)相鄰的整數(shù)的乘積,再根據(jù)分?jǐn)?shù)的拆項(xiàng)公式

=

-

進(jìn)行計(jì)算即可;
(3)先把帶分?jǐn)?shù)化成假分?jǐn)?shù),先計(jì)算小括號里面的乘法和除法,再計(jì)算小括號里面的加法,最后計(jì)算小括號外面的乘法;
(4)把

+

+

+

看作一個(gè)整體,根據(jù)乘法分配律進(jìn)行簡算即可.
點(diǎn)評:根據(jù)題意,要按照它們的運(yùn)算順序進(jìn)行計(jì)算,能簡算的要簡算.