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Are there two answers to the question of National Mathematics Volume B 1 1 in the 2022 college entrance examination?
When the tangent is combined with the hyperbolic equation,

There are indeed two solutions.

But that cosine function value is great than zero,

So the abscissa of point n should be positive.

Using cosine theorem and the second definition of conic (related to directrix), we can get the equation about abc.

So as to obtain eccentricity.

Only one solution is provided. For your reference, please take it.