Question

高一参数不等式解不等式 (x-2)/(x+1) +a/x >(x+2)/(x+1) -a/x （a>2)

Answer 1

(x-2)/(x+1) +a/x >(x+2)/(x+1) -a/x （a>2)

1-3/(x+1)+a/x>1+1/(x+1)-a/x

2a/x-4/(x+1)>0

[(a-2)x+a]/x(x+1)>0

当 x0,即(a-2)x+a>0,所以 x>-a/(a-2) (a/(a-2)>1)

所以：-a/(a-2)-1 时,x(x+1)0,即(a-2)x+a>0,所以 x>-a/(a-2) (a/(a-2)>1)

所以,x>0.

综上所述,原不等式的解为：-a/(a-2)