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双曲线的几何性质

> 已知双曲线C 1：2x 2-y 2=8，双曲线C 2满足：①C 1与C 2有相同的渐近线，②C 2的焦距是C 1的焦距的两倍，③C 2的焦点在y轴上，则C 2的方程是______．

问题：

发布时间：2024-09-09

已知双曲线C ₁：2x ²-y ²=8，双曲线C ₂满足：①C ₁与C ₂有相同的渐近线，②C ₂的焦距是C ₁的焦距的两倍，③C ₂的焦点在y轴上，则C ₂的方程是______．

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