已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
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![已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少](/uploads/image/z/7618789-37-9.jpg?t=%E5%B7%B2%E7%9F%A5%7Cab-2%7C%E4%B8%8E%7Ca-1%7C%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E8%AF%95%E6%B1%82%E4%B8%8B%E8%AF%95%E7%9A%84%E5%80%BC.1%2Fab%2B1%2F%28a%2B1%29%28b%2B1%29%2B1%2F%28a%2B2%29%28b%2B2%29%2B..1%2Fab%2B1%2F%28a%2B1%29%28b%2B1%29%2B1%2F%28a%2B2%29%28b%2B2%29%2B...1%2F%28a%2B2006%29%28b%2B2006%29%E7%9A%84%E5%80%BC%E4%B8%BA%E5%A4%9A%E5%B0%91)
已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
已知|ab-2|与|a-1|互为相反数,试求下试的值.1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+..1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...1/(a+2006)(b+2006)的值为多少
由题意
|ab-2|=|a-1|=0
解得a=1,b=2
当a=1,b=2时
原式=1/1*2+1/2*3+…1/2007*2008
=1-1/2008 (列项,不用我说了吧,小学有)
=2007/2008
1