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1÷(1÷2)÷(2÷3)÷…÷(2010÷2011)÷(2011÷2012)
分析:把每个括号内的算式写成分数的形式,通过约分,即可求得结果.
解答:解:1÷(1÷2)÷(2÷3)÷…÷(2010÷2011)÷(2011÷2012),
=1÷
1
2
÷
2
3
÷…÷
2010
2011
÷
2011
2012

=1×2×
3
2
×…×
2011
2010
×
2012
2011

=2012.
点评:完成此题,通过算式变形,约分计算.
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