gaokao 2022 Q11

gaokao · China · national-B-science 5 marks Conic sections Eccentricity or Asymptote Computation

For an ellipse $C$, $F_1, F_2$ are its two foci, $M, N$ are two points on the ellipse. If $\cos \angle F_1NF_2 = \frac{3}{5}$, then the eccentricity of $C$ is
A. $\frac{1}{2}$
B. $\frac{3}{2}$
C. $\frac{\sqrt{13}}{2}$
D. $\frac{\sqrt{17}}{2}$

For an ellipse $C$, $F_1, F_2$ are its two foci, $M, N$ are two points on the ellipse. If $\cos \angle F_1NF_2 = \frac{3}{5}$, then the eccentricity of $C$ is\\
A. $\frac{1}{2}$\\
B. $\frac{3}{2}$\\
C. $\frac{\sqrt{13}}{2}$\\
D. $\frac{\sqrt{17}}{2}$

Paper Questions

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