·"椭圆x^2/a^2+y^2/b^2=1(a>b>0)满足a

·"椭圆x^2/a^2+y^2/b^2=1(a>b>0)满足a
·"椭圆x^2/a^2+y^2/b^2=1(a>b>0)满足a<=SQR(3)*b,若离心率为e,求e^2+1/e^2的最小值

·"椭圆x^2/a^2+y^2/b^2=1(a>b>0)满足a
a≤√3b
a^2≤3b^2
c^2=a^2-b^2≤a^2-a^2/3=2a^2/3
e^2=c^2/a^2≤2/3
e^2+1/e^2是增函数
所以,
e^2+1/e^2的最小值
=2/3+3/2
=13/6