高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会的速解(2*x^2+(a-1)*x+3)/(x^2+a*x)>1

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高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会的速解(2*x^2+(a-1)*x+3)/(x^2+a*x)>1高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会

高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会的速解(2*x^2+(a-1)*x+3)/(x^2+a*x)>1
高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会的速解
(2*x^2+(a-1)*x+3)/(x^2+a*x)>1

高中数学(2*x^2+(a-1)*x+3)/(x^2+a*x)>1会的速解(2*x^2+(a-1)*x+3)/(x^2+a*x)>1
〔2x+(a-1)x+3] /(x+ax)>1 移项,通分,得 [2x+(a-1)x+3-x-ax]/(x+ax)>0 合并,得 (x-x+3)/(x+ax)>0 因x-x+3=(x-1/2) +11/4>0 所以不等式等价于x+ax>0 即x(x+a) >0 当a-a或x0时,不等式的解集为{x︱x>0或x

〔2x^2+(a-1)x+3] /(x^2+ax)>1 〔2x^2+(a-1)x+3-x^2-ax〕/(x^2+ax)>0 (x^2-x+3)/(x^2+ax)>0 x^2-x+3=(x-1/2)^2+11/4>0 x^2+ax>0 a<0,x>-a或x<0 a=0,x≠0 a>0,x>0或x<-a