解:(1)55×66÷(11×11),
=55×66÷11÷11,
=55÷11×(66÷11),
=5×6,
=30;
(2)40.2-4÷80×2.4,
=40.2-0.05×2.4,
=40.2-0.12,
=40.08;
(3)3.5×[6.8-(1.6+3.6÷0.9)]÷84,
=3.5×[6.8-(1.6+4)]÷84,
=3.5×[6.8-5.6]÷84,
=3.5×1.2÷84,
=4.2÷84,
=0.05;
(4)
×[
÷(
×
)],
=
×[
÷
],
=
×[
×
],
=
×
,
=
;
(5))(
+
)÷(
÷4-
),
=
÷(
×
-
),
=
÷(
-
),
=
÷
,
=
×10,
=
.
分析:(1)運(yùn)用除法的性質(zhì)簡算;
(2)先算除法和乘法,再算減法;
(3)先算小括號(hào)內(nèi)的除法,再算小括號(hào)內(nèi)的加法,然后算中括號(hào)內(nèi)的減法,最后算括號(hào)外的乘法和除法;
(4)先算小括號(hào)內(nèi)的,再算中括號(hào)內(nèi)的,最后算括號(hào)外的;
(5)兩個(gè)括號(hào)同時(shí)計(jì)算,第二個(gè)括號(hào)先算除法,再算減法.
點(diǎn)評(píng):此題是考查四則混合運(yùn)算,要仔細(xì)觀察算式的特點(diǎn),靈活運(yùn)用一些定律進(jìn)行簡便計(jì)算.