gaokao 2022 Q19

gaokao · China · national-A-science 12 marks Conic sections Chord Properties and Midpoint Problems

(1) Find the equation of $C$;
(2) Let the lines $MD$ and $ND$ intersect $C$ at another point $A$ and $B$ respectively. Denote the inclination angles of lines $MN$ and $AB$ as $\alpha$ and $\beta$ respectively. When $\alpha - \beta$ attains its maximum value, find the equation of line $AB$.

(1) Find the equation of $C$;\\
(2) Let the lines $MD$ and $ND$ intersect $C$ at another point $A$ and $B$ respectively. Denote the inclination angles of lines $MN$ and $AB$ as $\alpha$ and $\beta$ respectively. When $\alpha - \beta$ attains its maximum value, find the equation of line $AB$.

Paper Questions

Q1 Q4 Q5 Q6 Q9 Q10 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q21 Q22 Q23