解:(1)36×5.76+0.36×424,
=36×5.76+36×4.24,
=(5.76+4.24)×36,
=10×36,
=360;
(2)7.05×37+64×7.05-7.05,
=(37+64-1)×7.05,
=100×7.05,
=705;
(3)248-52

-22

,
=248-(52

+22

),
=248-75,
=173;
(4)36×(

+

-

),
=36×

+36×

-36×

,
=21+20-9,
=32;
(5)[1-(

+

)]÷

,
=[1-

]÷

,
=

×8,
=3.
分析:(1)根據(jù)數(shù)字特點(diǎn),把原式變?yōu)?6×5.76+36×4.24,運(yùn)用乘法分配律的逆運(yùn)算簡算;
(2)把7.05看作7.05×1,運(yùn)用乘法分配律的逆運(yùn)算簡算;
(3)運(yùn)用減法的性質(zhì)簡算;
(4)運(yùn)用乘法分配簡算簡算;
(5)按運(yùn)算順序計算,先算小括號內(nèi)的,再算中括號內(nèi)的,最后算括號外的.
點(diǎn)評:此題考查了小數(shù)、分?jǐn)?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)行簡便計算.