求第一问详细过程
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(1)
已知0∈A,则将0代入得:3+a-2a^2<0
===> 2a^2-a-3>0
===> (2a-3)(a+1)>0
===> a<-1,或者a>3/2
(2)
2x^2+(3a-7)x-(2a^2-a-3)<0
===> 2x^2-(3a-7)-(2a-3)(a+1)<0
===> [2x+(a+1)]*[x-(2a-3)]<0
===> [x+(a+1)/2]*[x-(2a-3)]<0
①当-(a+1)/2<2a-3,即a>1时:-(a+1)/2<x<2a-3
②当a=1时,无解
③当a<1时,2a-3<x<-(a+1)/2
已知0∈A,则将0代入得:3+a-2a^2<0
===> 2a^2-a-3>0
===> (2a-3)(a+1)>0
===> a<-1,或者a>3/2
(2)
2x^2+(3a-7)x-(2a^2-a-3)<0
===> 2x^2-(3a-7)-(2a-3)(a+1)<0
===> [2x+(a+1)]*[x-(2a-3)]<0
===> [x+(a+1)/2]*[x-(2a-3)]<0
①当-(a+1)/2<2a-3,即a>1时:-(a+1)/2<x<2a-3
②当a=1时,无解
③当a<1时,2a-3<x<-(a+1)/2
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