如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.注:
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![如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.注:](/uploads/image/z/559537-25-7.jpg?t=%E5%A6%82%E6%9E%9C%E6%9C%89%E7%90%86%E6%95%B0ab%E6%BB%A1%E8%B6%B3ab-2%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%2B1-b%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%3D0%2C%E8%AF%95%E6%B1%82%EF%BC%9Aab%2F1+%2B+%28a%2B1%29%28b%2B1%29%2F1+%2B+%28a%2B2%29%28b%2B2%29%2F1+%2B.%E5%A6%82%E6%9E%9C%E6%9C%89%E7%90%86%E6%95%B0ab%E6%BB%A1%E8%B6%B3ab-2%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%2B1-b%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%3D0%2C%E8%AF%95%E6%B1%82%3Aab%2F1+%2B+%28a%2B1%29%28b%2B1%29%2F1+%2B+%28a%2B2%29%28b%2B2%29%2F1+%2B.%28a%2B2003%29%28b%2B2003%29%2F1+%E7%9A%84%E5%80%BC.%E6%B3%A8%EF%BC%9A)
如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.注:
如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.
如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:
ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.
注:
如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.如果有理数ab满足ab-2的绝对值+1-b的绝对值=0,试求:ab/1 + (a+1)(b+1)/1 + (a+2)(b+2)/1 +.(a+2003)(b+2003)/1 的值.注:
∵|ab-2|+|1-b|=0
∴ab-2=0,1-b=0
∴ab=2,b=1
∴a=2,b=1
1/ab + 1/(a+1)(b+1) + 1/(a+2)(b+2)+.1/(a+2003)(b+2003)
=1/1×2+1/3×2 +1/4×3+……..+1/2005×2004
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2004-1/2005)
=1-1/2+1/2- 1/3+ 1/3- 1/4+……+1/2004-1/2005
=1-1/2005
=2004/2005