Question

若b+c分之一=1,c+a分之一=1,求b分之ab+1的值

Answer 1

由b+1/c=1,得：b=1-1/c=(c-1)/c,则1/b=c/(c-1),

由c+1/a=1,得：1/a=1-c,则a=1/(1-c),

所以

a+1/b

=1/(1-c)+c/(c-1)

=1/(1-c)-c/(1-c)

=(1-c)/(1-c)

=1