如果有理数a和b满足等式|a×b-2|+|1-b|=0,试求1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)的值.求洗讲求细讲。
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如果有理数a和b满足等式|a×b-2|+|1-b|=0,试求1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)的值.求洗讲求细讲。
如果有理数a和b满足等式|a×b-2|+|1-b|=0,试求1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)的值.求洗讲
求细讲。
如果有理数a和b满足等式|a×b-2|+|1-b|=0,试求1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)的值.求洗讲求细讲。
有理数a,b满足|ab-2|+|1-b|=0
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+2011)(b+2011)
=1/1*2+1/2*3+1/3*4+...+1/2013*2012
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2012-1/2013)
=1-1/2013
=2012/2013
|a×b-2|+|1-b|=0,b=1,a=2
1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)
=(1-1/2)+(1/2-1/3)+……+(1/2011-1/2/12)+(1/2012-1/2013)
=1-1/2013
=2012/2013
由 | a×b-2|+|1-b|=0 可知 ab=2,b=1, 则a=2.
1/a×b+1/(a+1)(b+1)+1/(a+1)(b+1)+1/(a+2)(b+2)+……+1/(a+2011)(b+2011)
= 1/1*2+1/2*3+1/3*4+……+1/2012*2013
=(1-1/2)+(1/2-1/3)+……+(1/2012-1/2013)
= 1-1/2013
=2012/2013.
由|a×b-2|+|1-b|=0得
ab-2=0,1-b=0 则a=2,b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)…+1/(a+2011)(b+2011)
=1/1*2+1/2*3+1/3*4+...+1/2013*2012
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2012-1/2013)
=1-1/2013
=2012/2013
有理数a,b满足|ab-2|+|1-b|=0
由题意解得a=2,b=1
1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)…+1/(a+2011)(b+2011)
=1/1*2+1/2*3+1/3*4+...+1/2013*2012
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2012-1/2013)
=1-1/2013
=2012/2013