解:(1)4
,
=4
,
=5
,
=4
;
(2)2.01×1001-2.01,
=2.01×(1001-1),
=2.01×1000,
=2010;
(3)(
)
,
=(
)×
,
=
,
=
1,
=2
;
(4)
×[1÷(
-
)],
=
×[1÷
],
=
[1×
],
=
,
=
;
(5)2+1÷(1
),
=2+1÷
,
=2+1×4,
=2+4,
=6.
分析:(1)4
,運(yùn)用加、減法的運(yùn)算性質(zhì)進(jìn)行簡算;
(2)2.01×1001-2.01,運(yùn)用乘法分配律進(jìn)行簡算;
(3)(
)
,把除數(shù)轉(zhuǎn)化為乘它的倒數(shù),運(yùn)用乘法分配律進(jìn)行簡算;
(4)
×[1÷(
-
)],按照分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序進(jìn)行計算;
(5)2+1÷(1
),根據(jù)分?jǐn)?shù)四則混合運(yùn)算的運(yùn)算順序進(jìn)行計算.
點評:此題主要考查分?jǐn)?shù)、小數(shù)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.