Question

17题，求解，在线等，急，

Answer 1

(1)p,q至少有一个是真命题
若p真<=>△=(a-1)²-4a²<0
<=>3a²+2a-1>0<=>(3a-1)(a+1)>0
<=>a>1/3或a<-1
若q真<=>2a²-a>1<=>(2a+1)(a-1)>0
<=>a>1或a<-1/2
∴p,q至少一个为真<=>{a>1/3或a<-1}∪{a>1或a<-1/2}
={a>1/3或a<-1/2}
(2) <=>p,q有且只有一个为真
<=>{p真，q假}或{p假，q真}
<=>{a>1/3或a<-1}∩{-1/2≤a≤1}
或 {-1≤a≤1/3}∩{a>1或a<-1/2}
<=>{1/3<a≤1}或{-1≤a<1/2}