题目内容
请观察下列算式,找出规律并填空
=1-
,
=
-
,
=
-
,
=
-
则第10个算式是______=______,
第n个算式为______=______.
根据以上规律解答下题:
若有理数a,b满足|a-1|+(b-3)2=0,试求:
+
+
+…+
的值.
1 |
1×2 |
1 |
2 |
1 |
2×3 |
1 |
2 |
1 |
3 |
1 |
3×4 |
1 |
3 |
1 |
4 |
1 |
4×5 |
1 |
4 |
1 |
5 |
则第10个算式是______=______,
第n个算式为______=______.
根据以上规律解答下题:
若有理数a,b满足|a-1|+(b-3)2=0,试求:
1 |
ab |
1 |
(a+2)(b+2) |
1 |
(a+4)(b+4) |
1 |
(a+100)(b+100) |
1 |
10×11 |
1 |
10 |
1 |
11 |
1 |
n(n+1) |
1 |
n |
1 |
n+1 |
∵|a-1|+(b-3)2=0,
∴a=1,b=3,
∴
1 |
ab |
1 |
(a+2)(b+2) |
1 |
(a+4)(b+4) |
1 |
(a+100)(b+100) |
=
1 |
1×3 |
1 |
3×5 |
1 |
5×7 |
1 |
101×103 |
=
1 |
2 |
1 |
3 |
1 |
3 |
1 |
5 |
1 |
101 |
1 |
103 |
=
1 |
2 |
1 |
103 |
=
1 |
2 |
102 |
103 |
=
51 |
103 |
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