1.已知:a+1/b=1,b+2/c=1,求:c+2/a的值?
问题描述:
1.已知:a+1/b=1,b+2/c=1,求:c+2/a的值?
答
由题意,a=1-1/b
c=2/(1-b)
所以,2/a可化为2b/(b-1)
c+2/a=2/(1-b)+2b/(b-1)
=-2/(b-1)+2b/(b-1)
=2(b-1)/(b-1)
=2