设p:实数x满足x^2-4ax+3a^2

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设p:实数x满足x^2-4ax+3a^2
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设p:实数x满足x^2-4ax+3a^2
设p:实数x满足x^2-4ax+3a^2<0,a<0,q:实数x满足x^2-x-6<=0或x^2+2x-8>0且p是q的必要不充分条件,求a的取值范
求a的范围

设p:实数x满足x^2-4ax+3a^2
p:(x-a)(x-3a)>0,因a<0,则这个不等式的解集想x<3a或x>a;
q:x²-x-6≤0,即:(x-2)(x+3)≤0,得:-3≤x≤2,及:x²+2x-8>0,即:(x+4)(x-2)>0,得:x<-4或x>2.从而有q:x<-4或x≥-3
因p是q的必要不充分条件,即q===>>>> p,则:-4≤3a且a>-3,解得:-3

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