题目内容

“挑战自己!”比一比,看一看,谁的方法最巧妙?
①26
2
3
×
1
5

②32
2
5
×
5
6

③
1
1×2
+
1
2×3
+
1
3×4
+
…+
1
48×49
+
1
49×50

④
1
12
+
1
20
+
1
30
+…+
1
90
.
(1)26
2
3
×
1
5
,
=(20+6
2
3
)×
1
5
,
=20×
1
5
+
20
3
×
1
5
,
=4+
4
3
,
=
16
3
;

(2)32
2
5
×
5
6
,
=(30+2
2
5
)×
5
6
,
=30×
5
6
+
12
5
×
5
6
,
=25+2,
=27;

(3)
1
1×2
+
1
2×3
+
1
3×4
+
…+
1
48×49
+
1
49×50
,
=(
1
1
-
1
2
)+(
1
2
-
1
3
)+(
1
3
-
1
4
)+…+(
1
48
-
1
49
)+(
1
49
-
1
50
),
=
1
1
-
1
2
+
1
2
-
1
3
+
1
3
-
1
4
+…+
1
48
-
1
49
+
1
49
-
1
50
,
=1-
1
50
,
=
49
50
;

(4)
1
12
+
1
20
+
1
30
+…+
1
90
,
=
1
3×4
+
1
4×5
+
1
5×6
+…+
1
9×10
,
=
1
3
-
1
4
+
1
4
-
1
5
+
1
5
-
1
6
+…+
1
9
-
1
10
,
=
1
3
-
1
10
,
=
7
30
.
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