双曲线=1的两条渐近线互相垂直,那么双曲线的离心率是__________.

答案

解析:

双曲线的渐近线方程为y=±x,

∴·(-)=-1,

∴a²=b².∴e=.

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双曲线=1的两条渐近线互相垂直,那么双曲线的离心率是__________.

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