解:(1)762-357+438-243,
=(762+438)-(357+243),
=1200-600,
=600;
(2)(
+
-
)
,
=(
+
-
)×36,
=
×36+
×36-
×36,
=27+6-15,
=33-15,
=18;
(3)(200.6×365+2006×63.5)×40%,
=(200.6×365+200.6×635)×40%,
=(365+635)×200.6×40%,
=1000×200.6×0.4,
=200600×0.4,
=80240;
(4)
,
=(4+
)×5+(32+
)×
+0.25×4×31,
=4×5+
×5+32×
+
×
+1×31,
=20+1+8+
+31,
=(20+1+8+31)+
,
=60+
,
=60
;
(5)(0.5+
+
÷1.25)÷(
-1.25×
),
=(0.5+
+2.5)÷(
-2),
=(0.5+2.5+
)÷(
-2),
=(3
)÷3
,
=3
÷3
,
=1;
(6)
,
=(1-
)+(
-
)+(
-
)+…+(
-
),
=1-
+
-
+
-
+…-
+
-
,
=1-
,
=
.
分析:(1)運用加法結(jié)合律,以及連續(xù)減去兩個數(shù)等于減去這兩個數(shù)的和簡算;
(2)先把除法變成乘法,然后運用乘法分配律簡算;
(3)先把2006×63.5變成200.6×635,再運用乘法分配律簡算;
(4)把帶分數(shù)化成一個整數(shù)和一個分數(shù)相加的形式,然后運用乘法分配律簡算;124分解成4乘31,然后運用乘法結(jié)合律簡算;
(5)先同時計算兩個小括號里面的除法和乘法,再同時計算兩個小括號里面的加法和減法,最后算括號外的除法;
(6)
=1-
;
=
-
;
=
-
;…
=
;由此化簡求解.
點評:本題考查了稍復雜的四則混合運算的簡算,要仔細觀察算式的特點,靈活選擇簡便計算的方法.