设点P(a^2/c,y),F1(-C,0),F2(C,0)右准猜旦线上存在P,使线段PF1的中穗租扰垂线过点F2,==>|PF2|=|F1F2|==>|PF2|^2=|F1F2|^2==>(a^2/型信c-c)^2+y^2=(2c)^2==>y^2=3c^2-a^4/c^2+2a^2≥0==>3c^2/a^2-a^2/c^2+2≥0==>3e^2-1/e^2+2≥0==>3e^4+2e^2-1≥0==>e^2≥1/3==>e≥√3/3又0==>e∈[√3/3,1)
选D.