椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2有相同的焦点,则a²=?
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![椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2有相同的焦点,则a²=?](/uploads/image/z/1022958-54-8.jpg?t=%E6%A4%AD%E5%9C%86X%26%23178%3B%2F4%2By%26%23178%3B%2Fa%26%23178%3B%3D1%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFX%26%23178%3B%2Fa%26%23178%3B-y%26%23178%3B%2F2%E6%9C%89%E7%9B%B8%E5%90%8C%E7%9A%84%E7%84%A6%E7%82%B9%2C%E5%88%99a%26%23178%3B%3D%3F)
椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2有相同的焦点,则a²=?
椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2有相同的焦点,则a²=?
椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2有相同的焦点,则a²=?
椭圆X²/4+y²/a²=1与双曲线X²/a²-y²/2=0有相同的焦点
∵ 双曲线X²/a²-y²/2=0
∴ 焦点在x轴上,
∴ 4-a²=a²+2
∴ a²=1