方法一:用x表示a,再討論x:
x²+ax>4x+a-3
(x-1)a>-x²+4x-3
(1)
x=1時,不等式左邊=0,右邊=-1+4-3=0,不等式不成立,x=1不滿足題意.
(2)
x>1時,a>(-x²+4x-3)/(x-1),又a≥0,要不等式成立,則
(-x²+4x-3)/(x-1)0
(x-1)(x-3)>0
x3
(3)
x
對于滿足0≤a≤4的實數(shù)a,使x2+ax>4x+a-3恒成立的x取值范圍是
對于滿足0≤a≤4的實數(shù)a,使x2+ax>4x+a-3恒成立的x取值范圍是
數(shù)學人氣:901 ℃時間:2019-10-23 13:33:49
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