精英家教网 > 小学数学 > 题目详情
3
4
+
5
7
+
1
2
4
5
+
2
3
+
1
5
8
5
-(
4
21
+
3
5
9
5
-
2
7
-
5
7
5
6
-
13
15
+
1
6
2
5
+(
2
3
-
2
5
7
10
-(
3
7
-
3
10
)   
12
13
+
7
11
-
12
13
+
7
11
7
9
-
1
7
+
2
9
-
6
7
4
7
-
3
8
+
5
7
+
3
8
9
5
-(
2
7
+
4
5
)-
4
7
4
7
-
1
18
+
5
7
-
17
18
分析:(1)先通分,再计算;
(2)利用加法的交换律变成
4
5
+
1
5
+
2
3
计算简便;
(3)去掉括号,再利用交换律计算简便;
(4)利用一个数连续减去两个数,等于这个数减去这两个数的和变成
9
5
-(
2
7
+
5
7
);
(5)利用加法交换律计算简便;
(6)去掉括号,再利用交换律计算简便;
(7)去掉括号,再利用交换律计算简便;
(8)利用加法交换律和结合律计算简便;
(9)利用加法交换律和结合律计算简便;
(10)利用加法交换律和结合律计算简便;
(11)去掉括号,再利用交换律和结合律计算简便;
(12)利用加法交换律和结合律计算简便.
解答:解:(1)
3
4
+
5
7
+
1
2

=
21
28
+
20
28
+
14
28

=
55
28


(2)
4
5
+
2
3
+
1
5

=
4
5
+
1
5
+
2
3

=1
2
3


(3)
8
5
-(
4
21
+
3
5
),
=
8
5
-
4
21
-
3
5

=
8
5
-
3
5
-
4
21

=
17
21


(4)
9
5
-
2
7
-
5
7

=
9
5
-(
2
7
+
5
7
),
=
9
5
-1,
=
4
5


(5)
5
6
-
13
15
+
1
6

=
5
6
+
1
6
-
13
15

=1-
13
15

=
2
15


(6)
2
5
+(
2
3
-
2
5
),
=
2
5
+
2
3
-
2
5

=
2
5
-
2
5
+
2
3

=
2
3


(7)
7
10
-(
3
7
-
3
10
),
=
7
10
-
3
7
+
3
10

=
7
10
+
3
10
-
3
7

=
4
7


(8)
12
13
+
7
11
-
12
13
+
7
11

=(
12
13
-
12
13
)+(
7
11
+
7
11
),
=
14
11


(9)
7
9
-
1
7
+
2
9
-
6
7

=(
7
9
+
2
9
)-(
1
7
+
6
7
),
=0;

(10)
4
7
-
3
8
+
5
7
+
3
8

=
4
7
+
5
7
-
3
8
+
3
8

=
9
7


(11)
9
5
-(
2
7
+
4
5
)-
4
7

=
9
5
-
4
5
-(
2
7
+
4
7
),
=1-
6
7

=
1
7


(12)
4
7
-
1
18
+
5
7
-
17
18

=(
4
7
+
5
7
)-(
1
18
+
17
18
),
=
9
7
-1,
=
2
7
点评:本题考查了学生通过约分对分数四则混合运题目进行简算的能力.
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