题目内容
| 脱式计算. 1
|
6.5×
| ||||||||||||||||||||||
1
|
12
| ||||||||||||||||||||||
61
|
7
|
分析:算式(1)(2)(6)可根据乘法分配律计算;
算式(3)可根据分数巧算公式:
=(
-
)÷2进行计算;
算式(4)(5)根据四则混合运算的运算顺序计算即可:先算乘除,再算加减,有括号的要先算括号里面的.
算式(3)可根据分数巧算公式:
| 1 |
| n×(n+2) |
| 1 |
| n |
| 1 |
| n+2 |
算式(4)(5)根据四则混合运算的运算顺序计算即可:先算乘除,再算加减,有括号的要先算括号里面的.
解答:解:(1)1
×
+
×6
=(1
+6
)×
,
=8×
,
=6;
(2)6.5×
+0.24×4.5-6÷25
=6.5×0.24+0.24×4.5-0.24,
=(6.5+4.5-1)×0.24,
=10×0.24,
=2.4;
(3)1
+2
+3
+4
=(1+2+3+4)+(
+
+
+
+),
=10+(1-
+
-
+
-
+
-
)÷2,
=10+
÷2,
=10+
,
=10
;
(4)12
÷
-[6
+3
×(3
-2
)]
=
×
-[6
+
×
],
=14-[6
+1
],
=14-8,
=6;
(5)61
×
+71
×
+81
×
=
×
+
×
+
×
,
=51+61+71,
=183;
(6)(7
×0.6+
×7
)÷
÷
.
=(7
×
+
×7
)×
×
,
=(7
+7
)×
×
×
,
=15×
×
×
,
=35.
| 5 |
| 7 |
| 3 |
| 4 |
| 3 |
| 4 |
| 2 |
| 7 |
=(1
| 5 |
| 7 |
| 2 |
| 7 |
| 3 |
| 4 |
=8×
| 3 |
| 4 |
=6;
(2)6.5×
| 6 |
| 25 |
=6.5×0.24+0.24×4.5-0.24,
=(6.5+4.5-1)×0.24,
=10×0.24,
=2.4;
(3)1
| 1 |
| 3 |
| 1 |
| 15 |
| 1 |
| 35 |
| 1 |
| 63 |
=(1+2+3+4)+(
| 1 |
| 3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 1 |
| 7×9 |
=10+(1-
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 7 |
| 1 |
| 7 |
| 1 |
| 9 |
=10+
| 8 |
| 9 |
=10+
| 4 |
| 9 |
=10
| 4 |
| 9 |
(4)12
| 3 |
| 5 |
| 9 |
| 10 |
| 3 |
| 4 |
| 1 |
| 8 |
| 3 |
| 20 |
| 3 |
| 4 |
=
| 63 |
| 5 |
| 10 |
| 9 |
| 3 |
| 4 |
| 25 |
| 8 |
| 8 |
| 20 |
=14-[6
| 3 |
| 4 |
| 1 |
| 4 |
=14-8,
=6;
(5)61
| 1 |
| 5 |
| 5 |
| 6 |
| 1 |
| 6 |
| 6 |
| 7 |
| 1 |
| 7 |
| 7 |
| 8 |
=
| 306 |
| 5 |
| 5 |
| 6 |
| 427 |
| 6 |
| 6 |
| 7 |
| 568 |
| 7 |
| 7 |
| 8 |
=51+61+71,
=183;
(6)(7
| 1 |
| 2011 |
| 3 |
| 5 |
| 2010 |
| 2011 |
| 3 |
| 7 |
| 3 |
| 5 |
=(7
| 1 |
| 2011 |
| 3 |
| 5 |
| 3 |
| 5 |
| 2010 |
| 2011 |
| 7 |
| 3 |
| 5 |
| 3 |
=(7
| 1 |
| 2011 |
| 2010 |
| 2011 |
| 3 |
| 5 |
| 7 |
| 3 |
| 5 |
| 3 |
=15×
| 3 |
| 5 |
| 7 |
| 3 |
| 5 |
| 3 |
=35.
点评:完成本题要认真分析式中数据的特点及内在联系,然后运用合适的方法进行计算.
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