解:(1)0.35-10-(0.2+6.37÷0.7)×0.5,
=-9.65-(0.2+9.1)×0.5,
=-9.65-9.3×0.5,
=-9.65-4.65,
=-(9.65+4.65),
=-14.3;
(2)91×

+9÷13-1÷13×100,
=91×

+9×

-

×100,
=(91+9-100)×

,
=0×

,
=0;
(3)(

-

)×17-

,
=

×17-

×17-

,
=

-(

+

),
=

-1,
=

;
(4)53.5×1.9+61×1.25+41×8.1,
=53.5×(2-0.1)+(60+1)×1.25+(40+1)×8.1,
=53.5×2-53.5×0.1+60×1.25+1×1.25+40×8.1+1×8.1,
=107-5.35+75+1.25+324+8.1,
=(107+75+324)+(1.25-5.35+8.1),
=506+4,
=510;
(5)12×[(

+

)÷

],
=12×[

÷

],
=12×1,
=12;
( 6)

×

+56×

+

×

,
=

×7×

+56×

+

×

,
=(

+56+

)×

,
=63×

,
=7.
分析:(1)先算0.35-10=-9.65,再算括號內(nèi)的除法,然后算括號內(nèi)的加法,再算括號外的乘法,最后算減法;
(2)先把原式變?yōu)?1×

+9×

-

×100,然后運(yùn)用乘法分配律簡算;
(3)先運(yùn)用乘法分配律計(jì)算(

-

)×17,然后運(yùn)用減法的性質(zhì)簡算;
(4)把1.9看作2-0.1,,把61看作60+1,把41看作40+1,運(yùn)用乘法分配律簡算,在云用加法結(jié)合律簡算;
(5)先算小括號內(nèi)的,再算中括號內(nèi)的,最后算括號外的;
(6)先把原式變?yōu)?img class='latex' src='http://thumb.zyjl.cn/pic5/latex/113.png' />×7×

+56×

+

×

,然后運(yùn)用乘法分配律簡算.
點(diǎn)評:考查了分?jǐn)?shù)、小數(shù)的四則混合運(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)算定律進(jìn)行簡便計(jì)算.