12.(2023•宜章县二模)已知函数f(x)=axex−ax+a−ex(a>0)f(x)=axe^{x}-ax+a-e^{x}(a>0)f(x)=axex−ax+a−ex(a>0),若有且仅有两个整数xi(i=1,2)x_{i}(i=1,2)xi(i=1,2),满足f(xi)<0f(x_{i})<0f(xi)<0,则实数aaa的取值范围为 ___[e22e2−1[\frac{{e}^{2}}{2{e}^{2}-1}[2e2−1e2[,]1)1)1)___.