1*2/1+2*3/1+3*4/1+.2011*2012/1之和等于多少啦
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![1*2/1+2*3/1+3*4/1+.2011*2012/1之和等于多少啦](/uploads/image/z/306046-46-6.jpg?t=1%2A2%2F1%2B2%2A3%2F1%2B3%2A4%2F1%2B.2011%2A2012%2F1%E4%B9%8B%E5%92%8C%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%E5%95%A6)
1*2/1+2*3/1+3*4/1+.2011*2012/1之和等于多少啦
1*2/1+2*3/1+3*4/1+.2011*2012/1之和等于多少啦
1*2/1+2*3/1+3*4/1+.2011*2012/1之和等于多少啦
1/1*2+1/2*3+1/3*4+.+1/2011*2012
=1-1/2+1/2-1/3+1/3-1/4+.+1/2011-1/2012
=1-1/2012
=2011/2012
1*2/1+2*3/1+3*4/1+......2011*2012/1
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2011-1/2012)
=1-1/2012
=2011/2012
1*2/1+2*3/1+3*4/1+......2011*2012/1
反一个身
1/1*2+1/2*3+1/3*4+1/4*5+……+1/2011*2012
=1-1/2+1/2-1/3+1/3-1/4+1/4+……-1/2011+1/2011-1/2012
=1-1/2012
=2011/2012