2*2/1*3+4*4/3*5+6*6/5*7+8*8/7*9+10*10/9*11
1个回答

(2*2)/(1*3)=1+1/(1*3)=1+(1/1-1/3)/2

(4*4)/(3*5)=1+1/(3*5)=1+(1/3-1/5)/2

(6*6)/(5*7)=1+1/(5*7)=1+(1/5-1/7)/2

(8*8)/(7*9)=1+1/(7*9)=1+(1/7-1/9)/2

(10*10)/(9*11)=1+1/(9*11)=1+(1/9-1/11)/2

总的=1+1+1+1+1 +1/(1*3)+1/(3*5)+1/(5*7)+1/(9*11)

=5+(1/1-1/3 +1/3-1/5 +1/5-1/7 +1/7-1/9 +1/9-1/11)/2

=5+(1-1/11)/2

=5+5/11

字有点小,不好意思

看起来可可能有点费劲.不过应该详细了

给个好评吧.