(1)9×
÷9×
=______.(2)35×6-513÷27=______.
(3)(9
+1
-5
)÷(9
-6
+2
)=______.(4)1.8×8.6+1.8×1.3+18%=______.
(5)
×[
-(
-
)]=______.(6)(1-
)(1-
)(1-
)…(1-
)=______.解:(1)9×
÷9×
,=1÷9×
,=
;(2)35×6-513÷27,
=210-19,
=191;
(3)(9
+1
-5
)÷(9
-6
+2
),=(9
+1
-5
)÷(9
-6+1
+2-1
),=(9
+1
-5
)÷(9
-5
+1
),=1;
(4)1.8×8.6+1.8×1.3+18%,
=1.8×8.6+1.8×1.3+1.8×0.1,
=1.8×(8.6+1.3+0.1),
=1.8×10,
=18;
(5)
×[
-(
-
)],=
×[
+
-
],=
×
=
;(6)(1-
)(1-
)(1-
)…(1-
),=(1-
)(1+
)(1-
)(1+
)…(1-
)(1+
),=
×
×
×
×
…×
×
,=
×
,=
.故答案为:
,191,1,18,
,
.分析:(1)从左往右按顺序计算即可;
(2)同时脱式,先求出35×6和513÷27的结果,再计算减法;
(3)把(9
+1
-5
)÷(9
-6
+2
)改写成(9
+1
-5
)÷(9
-6+1
+2-1
),进而(9
+1
-5
)÷(9
-5
+1
),分子分母变成一样,所以最后结果是1;(4)把18%改写成1.8×0.1,再逆用乘法分配律简算;
(5)把
×[
-(
-
)]改写成
×[
+
-
],进而简算;(6)把(1-
)(1-
)(1-
)…(1-
)改写成(1-
)(1+
)(1-
)(1+
)…(1-
)(1+
),进而等于
×
×
×
×
…×
×
,等于
.点评:此题考查整数、分数四则混合运算的巧算,根据数据的特点,灵活选用简便方法计算.