Gaokao Math Practice Question
10. 椭圆 $C: \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(a>b>0)$ 的左顶点为 $A$, 点 $P, Q$ 均在 $C$ 上, 且关于 $y$ 轴对称. 若 直线 $A P, A Q$ 的斜率之积为 $\frac{1}{4}$, 则 $C$ 的离心率为 ()
- A.$\frac{\sqrt{3}}{2}$
- B.$\frac{\sqrt{2}}{2}$
- C.$\frac{1}{2}$
- D.$\frac{1}{3}$
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