计算 1/2*4+1/4*6+.1/2006*2008

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计算 1/2*4+1/4*6+.1/2006*2008

计算 1/2*4+1/4*6+.1/2006*2008
计算 1/2*4+1/4*6+.1/2006*2008

计算 1/2*4+1/4*6+.1/2006*2008
1/2*4+1/4*6+.1/2006*2008
=1/2*(1/2-1/4)+1/2*(1/4-1/6)+.+1/2*(1/2006-1/2008)
=1/2*(1/2-1/4+1/4-1/6+.+1/2006-1/2008)
=1/2*(1/2-1/2008)
=1/2*1003/2008
=1003/4016

你好!
1/2×4+1/4×6+。。。。。1/2006×2008
=1/2×(1/2 -1/4)+1/2×(1/4-1/6)······+1/2×(1/2006 -1/2008)
=1/2×(1/2 -1/4 +1/4 -1/6 +1/6······-1/2006+1/2006-1/2008)
=1/2×(1/2-1/2008)
=1/2 ×1003/2008
=1003/4016