1/2+1/+2/3+1/4+2/4+3/4+...+1/2008+2/2008+.+2007/2008等于多少
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![1/2+1/+2/3+1/4+2/4+3/4+...+1/2008+2/2008+.+2007/2008等于多少](/uploads/image/z/247935-39-5.jpg?t=1%2F2%2B1%2F%2B2%2F3%2B1%2F4%2B2%2F4%2B3%2F4%2B...%2B1%2F2008%2B2%2F2008%2B.%2B2007%2F2008%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
1/2+1/+2/3+1/4+2/4+3/4+...+1/2008+2/2008+.+2007/2008等于多少
1/2+1/+2/3+1/4+2/4+3/4+...+1/2008+2/2008+.+2007/2008等于多少
1/2+1/+2/3+1/4+2/4+3/4+...+1/2008+2/2008+.+2007/2008等于多少
1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+……+2007/2008
=1/2+(1+2)/3+(1+2+3)/4+...+(1+2+...+2007)/2008
=1/2+(1+2)*2/(2*3)+(1+3)*3/(2*4)+...+(1+2007)*2007/(2*2008)
=1/2+2/2+3/2+...+2007/2
=(1+2+3+...+2007)/2
=(1+2007)*2007/(2*2)
=502*2007
=1007514