分析:①運(yùn)用加法的結(jié)合律、交換律進(jìn)行計(jì)算,連續(xù)減去兩個(gè)數(shù)可以減去這兩個(gè)數(shù)的和.
②③④運(yùn)用乘法的分配律進(jìn)行計(jì)算.
⑤⑥按照分?jǐn)?shù)四則混合運(yùn)算的順序進(jìn)行計(jì)算,有括號(hào)的先計(jì)算括號(hào)內(nèi)部的,再計(jì)算括號(hào)外面的.
解答:解:①68.26-23.4-6.6+11.74,
=(68.26+11.74)-(23.4+6.6),
=80-30,
=50;
②(
++)×12,
=12×
+12×
+12×
,
=6+4+3,
=13;
③8.7×2.9+71×0.87,
=8.7×2.9+7.1×8.7,
=8.7×(2.9+7.1),
=8.7×10,
=87;
④58×
,
=(57+1)×
,
=17+
,
=17
;
⑤(
+
)÷
+
,
=(
+)×
+,
=
×
+,
=
+,
=
;
⑥(0.75-
)×(
+
),
=(
-)×(
+),
=
×
,
=
.
點(diǎn)評(píng):考查了運(yùn)算定律與簡(jiǎn)便運(yùn)算,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)算律簡(jiǎn)便計(jì)算.