y=(a＾2-1)x＾2+(a-1)x+2在［1,2］单调递增求a范围

y=(a＾2-1)x＾2+(a-1)x+2在［1,2］单调递增求a范围
y=(a＾2-1)x＾2+(a-1)x+2在［1,2］单调递增求a范围

y=(a＾2-1)x＾2+(a-1)x+2在［1,2］单调递增求a范围
(1)a^2-1=0,a=±1,
①a=1时,y=2,不增不减,不满足在[1,2]单增
②a=-1时,y=-2x+2,单减,也不满足题意
(2)a^2-1>0,a>1或a