gaokao 2018 Q11

gaokao · China · national-I-science 5 marks Conic sections Focal Distance and Point-on-Conic Metric Computation

Given the hyperbola $C : \frac { x ^ { 2 } } { 3 } - y ^ { 2 } = 1$, with $O$ as the origin and $F$ as the right focus of $C$. A line through $F$ intersects the two asymptotes of $C$ at points $M$ and $N$. If $\triangle O M N$ is a right triangle, then $| M N | =$
A. $\frac { 3 } { 2 }$
B. 3
C. $2 \sqrt { 3 }$
D. 4

Given the hyperbola $C : \frac { x ^ { 2 } } { 3 } - y ^ { 2 } = 1$, with $O$ as the origin and $F$ as the right focus of $C$. A line through $F$ intersects the two asymptotes of $C$ at points $M$ and $N$. If $\triangle O M N$ is a right triangle, then $| M N | =$

A. $\frac { 3 } { 2 }$

B. 3

C. $2 \sqrt { 3 }$

D. 4

Paper Questions

Q1 Q2 Q4 Q5 Q6 Q7 Q8 Q9 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18