(1/2-1)(1/3-1)(1/4-1)...(1/2010-1)(1/2011-1)(1/2012-1)换算一下：
=(-1/2)(-2/3)(-3/4)...(-2009/2010)(-2010/2011)(-2011/2012),共有2011个负数相乘
=-(1/2X2/3X3/4X...X2009/2010X2010/2011X2011/2012),然后开始约分,最终剩下
=-1/2012
计算:(1/2-1)(1/3-1)(1/4-1)...(1/2010-1)(1/2011-1)(1/2012-1)
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相关问题
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计算:|1/2012-1/2011|+|1/2011-1/2010|+|1/2010-1/2009||+…+|1/3-1
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计算 1+2+3+.+2010+2011+2012+2011+2010+.3+2+1
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计算|1/2-1|+|1/3-1/2|+|1/4-1/3|+……+|1/2011-1/2010|
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(1-1/2*2)(1-1/3*3)(1-1/4*4).(1-1/2010*2010)(1-1/2011*2011)
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计算 [1/2-]+[1/3-1/2]+[1/4-1/3]+[1/5-1/4]+…+【1/2011-1/2010]+[1
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|1/2-1|+|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+…+|1/2012-1/2011|计算
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(1\2012-1)(1\2011-1)(1\2010-1)...(1\3-1)(1\2-1)=?
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|1/2009-1/2010|+|1/2010-1/2011|+|1/2011-1/2012|
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|1∕2009-1∕2010|＋|1∕2010﹣1∕2011|﹢|1∕2011－1∕2012|=
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根据规律计算：（-1*1/2）+(-1/2*1/3）+(-1/3*1/4)+...+(-1/2011*1/2012)