数学试题讲解

设椭圆

C_{1} : \frac{x^{2}}{a^{2}} + y^{2} = 1 (a > 1), C_{2} : \frac{x^{2}}{4} + y^{2} = 1

的离心率分别为

e_{1}, e_{2}

. 若

e_{2} = \sqrt{3} e_{1}

, 则

a =

\frac{2 \sqrt{3}}{3}

\sqrt{2}

\sqrt{3}

\sqrt{6}