若命题“x∈R,x2+(a-1)x+1<0”是真命题,则实数a的取值范围是 ( )A.[-1,3]B....
![若命题“x∈R,x2+(a-1)x+1<0”是真命题,则实数a的取值范围是 ( )A.[-1,3]B....](https://i1.guowenba.com/2a3f740786fedf90c5/2b2f7f1c/793e7d/736e2641d2acca8acf44-s.gif "若命题“x∈R,x2+(a-1)x+1<0”是真命题,则实数a的取值范围是 ( )A.[-1,3]B....")
问题详情：若命题“x∈R,x2+(a-1)x+1<0”是真命题,则实数a的取值范围是()A.[-1,3]B.(-1,3)C.(-∞,-1]∪[3,+∞)D.(-∞,-1)∪(3,+∞)【回答】D.依题意,关于x的不等式x2+(a-1)x+1<0有解,因此Δ=(a-1)2-4>0,即a2-2a-3>0,解...
问题详情：若命题“x∈R,x2+(a-1)x+1<0”是真命题,则实数a的取值范围是()A.[-1,3]B.(-1,3)C.(-∞,-1]∪[3,+∞)D.(-∞,-1)∪(3,+∞)【回答】D.依题意,关于x的不等式x2+(a-1)x+1<0有解,因此Δ=(a-1)2-4>0,即a2-2a-3>0,解...