令椭圆离心率为e，则e^2=c^2/a^2=(a^2-b^2)/a^2=1-b^2/a^2=3/4b^2/a^2=1/4a^2=4b^2将点A代入椭圆方程，4/a^2+1/b^2=14/4b^2+1/b^2=1b^2=2a^2=4b^2=8所以椭圆方程为：x^2/8+y^2/2=1
x²/2+2y²=1
