有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)]×(b+1)...原题在下面有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)×(b+1)]+1÷[(a+2)×(b+2)]

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有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)]×(b+1)...原题在下面有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)×(b+1)]+1÷[(a+2)×(b+2)]

有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)]×(b+1)...原题在下面有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)×(b+1)]+1÷[(a+2)×(b+2)]
有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)]×(b+1)...原题在下面
有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)×(b+1)]+1÷[(a+2)×(b+2)]+.+1÷[(a+2012)×(b+2012)]的值

有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)]×(b+1)...原题在下面有理数a、b满足丨ab-2丨+(1-b)×(1-b)=0,试求1÷(ab)+1÷[(a+1)×(b+1)]+1÷[(a+2)×(b+2)]
有理数a、b满足|ab-2|+(1-b)×(1-b)=0
则必有 ab-2=0 1-b=0
解得a=2,b=1
1 /ab+1/(a+1)(b+1)+1/(a+2)(b+2)+...+1/(a+2012)(b+2012)
=1/(1*2)+1/(2*3)+.+1/(2013*2014)
=1-1/2+1/2-1/3+.+1/2013-1/2014
=1-1/2014=2013/2014

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