题目内容
方程
+
+
+…+
=2008的解是( )
| x |
| 2 |
| x |
| 6 |
| x |
| 12 |
| x |
| 2008×2009 |
| A.1 | B.-1 | C.2008 | D.2009 |
方程
+
+
+…+
=2008变形:
+
+
+…+
=2008,
(x-
)+(
-
)+(
-
)+…+(
-
)=2008,
x-
+
-
+
-
+…+
-
=2008,即x-
=2008,
解得x=2009.
故选D.
| x |
| 2 |
| x |
| 6 |
| x |
| 12 |
| x |
| 2008×2009 |
| x |
| 1×2 |
| x |
| 2×3 |
| x |
| 3×4 |
| x |
| 2008×2009 |
(x-
| x |
| 2 |
| x |
| 2 |
| x |
| 3 |
| x |
| 3 |
| x |
| 4 |
| x |
| 2008 |
| x |
| 2009 |
x-
| x |
| 2 |
| x |
| 2 |
| x |
| 3 |
| x |
| 3 |
| x |
| 4 |
| x |
| 2008 |
| x |
| 2009 |
| x |
| 2009 |
解得x=2009.
故选D.
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相关题目
方程
+
+
+…+
=2008的解是( )
| x |
| 2 |
| x |
| 6 |
| x |
| 12 |
| x |
| 2008×2009 |
| A、1 | B、-1 |
| C、2008 | D、2009 |