设椭圆方程为x^2/a^2+y^2/b^2=1或y^2/a^2+x^2/b^2=1(a>b>0)
依题意得{2c+a=10
{e=c/a=1/3
{a^2=b^2+c^2
解得:a=6,c=2,b=4√2
∴椭圆的方程为x^2/36+y^2/32=1或y^2/36+x^2/32=1
设椭圆方程为x^2/a^2+y^2/b^2=1或y^2/a^2+x^2/b^2=1(a>b>0)
依题意得{2c+a=10
{e=c/a=1/3
{a^2=b^2+c^2
解得:a=6,c=2,b=4√2
∴椭圆的方程为x^2/36+y^2/32=1或y^2/36+x^2/32=1