gaokao 2019 Q10

gaokao · China · national-III-science_gkztc Conic sections Triangle or Quadrilateral Area and Perimeter with Foci

10. For the hyperbola $C : \frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 2 } = 1$ with right focus $F$ , if point $P$ is on one of the asymptotes of $C$ , $O$ is the origin, and $| P O | = | P F |$ , then the area of $\triangle P F O$ is
A. $\frac { 3 \sqrt { 2 } } { 4 }$
B. $\frac { 3 \sqrt { 2 } } { 2 }$
C. $2 \sqrt { 2 }$
D. $3 \sqrt { 2 }$

Given that the ellipse $C$ has foci $F _ { 1 } ( - 1,0 ) , F _ { 2 } ( 1,0 )$, and passes through

10. For the hyperbola $C : \frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 2 } = 1$ with right focus $F$ , if point $P$ is on one of the asymptotes of $C$ , $O$ is the origin, and $| P O | = | P F |$ , then the area of $\triangle P F O$ is\\
A. $\frac { 3 \sqrt { 2 } } { 4 }$\\
B. $\frac { 3 \sqrt { 2 } } { 2 }$\\
C. $2 \sqrt { 2 }$\\
D. $3 \sqrt { 2 }$

Paper Questions

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