已知|ab-2|与|b-1|互为相反数,求代数式.1\ab+(a=1)(b+1)\1=(a=2)(b+2)\1+……+(a+2009)(b+2009)\1的值1\ab+(a+1)(b+1)\1+(a+2)(b+2)\1+……+(a+2009)(b+2009)\1的值
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![已知|ab-2|与|b-1|互为相反数,求代数式.1\ab+(a=1)(b+1)\1=(a=2)(b+2)\1+……+(a+2009)(b+2009)\1的值1\ab+(a+1)(b+1)\1+(a+2)(b+2)\1+……+(a+2009)(b+2009)\1的值](/uploads/image/z/3035785-49-5.jpg?t=%E5%B7%B2%E7%9F%A5%7Cab-2%7C%E4%B8%8E%7Cb-1%7C%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F.1%5Cab%2B%28a%3D1%29%28b%2B1%29%5C1%3D%28a%3D2%29%28b%2B2%29%5C1%2B%E2%80%A6%E2%80%A6%2B%28a%2B2009%29%28b%2B2009%29%5C1%E7%9A%84%E5%80%BC1%5Cab%2B%28a%2B1%29%28b%2B1%29%5C1%2B%28a%2B2%29%28b%2B2%29%5C1%2B%E2%80%A6%E2%80%A6%2B%28a%2B2009%29%28b%2B2009%29%5C1%E7%9A%84%E5%80%BC)
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已知|ab-2|与|b-1|互为相反数,求代数式.1\ab+(a=1)(b+1)\1=(a=2)(b+2)\1+……+(a+2009)(b+2009)\1的值1\ab+(a+1)(b+1)\1+(a+2)(b+2)\1+……+(a+2009)(b+2009)\1的值
已知|ab-2|与|b-1|互为相反数,求代数式.1\ab+(a=1)(b+1)\1=(a=2)(b+2)\1+……+(a+2009)(b+2009)\1的值
1\ab+(a+1)(b+1)\1+(a+2)(b+2)\1+……+(a+2009)(b+2009)\1的值
已知|ab-2|与|b-1|互为相反数,求代数式.1\ab+(a=1)(b+1)\1=(a=2)(b+2)\1+……+(a+2009)(b+2009)\1的值1\ab+(a+1)(b+1)\1+(a+2)(b+2)\1+……+(a+2009)(b+2009)\1的值
|ab-2|与|b-1|互为相反数,得ab-2=b-1=0,得a=2,b=1;
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2009)(b+2009)
=1/(1*2)+1/(2*3)+……+1/(2010*2011)
=(2-1)/(1*2)+(3-2)/(2*3)+……+(2011-2010)/(2010*2011)
=2/(1*2)-1(1*2)+……+2011/(2010*2011)-2010/(2010*2011)
=1-1/2+1/2-1/3+……+1/2010-1/2011
=1-1/2011
=2010/2011