a(x-1)/(x-3)>1→ a(x-1)/(x-3)-1>0 → (ax-a-x+3)/(x-3)>0→ ((a-1)x+(3-a))(x-3)>0
当a-1>0时((a-1)x+(3-a))(x-3)>0,由数轴标根法,根为x=a-3/a-1,x=3
比较a-3/a-1与3的大小
当a-3/a-1>3时,00,解得x>3
当a-1
一道分式不等式解关于X的不等式a(x-1)/(x-3)>1 (a≥0)请在今天之内写出详细的解答过程.
a(x-1)/(x-3)>1→ a(x-1)/(x-3)-1>0 → (ax-a-x+3)/(x-3)>0→ ((a-1)x+(3-a))(x-3)>0
当a-1>0时((a-1)x+(3-a))(x-3)>0,由数轴标根法,根为x=a-3/a-1,x=3
比较a-3/a-1与3的大小
当a-3/a-1>3时,00,解得x>3
当a-1