Forgot password
 Register account
View 149|Reply 1

[几何] 求椭圆中的线段和的最小值

[Copy link]

422

Threads

911

Posts

0

Reputation

Show all posts

lemondian posted 2024-10-12 10:11 |Read mode
已知椭圆$C:\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1(a>b>0)$的左,右焦点分别为$F_1,F_2$,过点$A(x_0,y_0)$的直线与椭圆$C$交于$P,Q$两点($P$在$Q$的上方),线段$PQ$上存在点$M$使得$\dfrac{|AP|}{|AQ|}=\dfrac{|MP|}{|MQ|}$,求$|MF_1|+|MF_2|$的最小值。

673

Threads

110K

Posts

218

Reputation

Show all posts

kuing posted 2024-10-12 21:25
M 的轨迹不就是 A 的极线么

Quick Reply

Advanced Mode
B Color Image Link Quote Code Smilies
You have to log in before you can reply Login | Register account

$\LaTeX$ formula tutorial

Mobile version

2025-7-15 14:23 GMT+8

Powered by Discuz!

Processed in 0.011486 seconds, 22 queries