计算:(2+3+41-3+4+52+4+5+63-5+6+74+…+10+11+129-11+12+1310)÷(1-12+13-14+…+19-110)

2025-01-01 03:31:39
推荐回答(1个)
回答1:

2+3+4
1
-
3+4+5
2
+
4+5+6
3
-
5+6+7
4
+…+
10+11+12
9
-
11+12+13
10
)÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=(
3×3
1
-
3×4
2
+
3×5
3
-
3×6
4
+…+
3×11
9
-
3×12
10
)÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=3×(
3
1
-
4
2
+
5
3
?
6
4
+…+
11
9
?
12
10
)÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=3×[(1+2)-(1+
2
2
)+(1+
2
3
)-(1+
2
4
)+…+(1+
2
9
)-(1+
2
10
)]÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=3×(2-
2
2
+
2
3
-
2
4
+…+
2
9
-
2
10
)÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=3×2×(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10
)÷(1-
1
2
+
1
3
-
1
4
+…+
1
9
-
1
10

=6