gaokao 2015 Q14

gaokao · China · hunan-science Conic sections Eccentricity or Asymptote Computation

14. Let F be a focus of the hyperbola $C: \frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { b ^ { 2 } } = 1$. If there exists a point P on C such that the midpoint of segment PF is exactly an endpoint of its conjugate axis, then the eccentricity of C is $\_\_\_\_$

14. Let F be a focus of the hyperbola $C: \frac { x ^ { 2 } } { a ^ { 2 } } - \frac { y ^ { 2 } } { b ^ { 2 } } = 1$. If there exists a point P on C such that the midpoint of segment PF is exactly an endpoint of its conjugate axis, then the eccentricity of C is $\_\_\_\_$\\

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