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PUMaC 2010 · 几何（B 组） · 第 2 题

PUMaC 2010 — Geometry (Division B) — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. On rectangular coordinates, point A = (1 , 2), B = (3 , 4). P = ( a, 0) is on x -axis. Given that P is chosen such that AP + P B is minimized, compute 60 a .
解析
  1. On rectangular coordinates, point A = (1 , 2), B = (3 , 4). P = ( a, 0) is on x -axis. Suppose P is chosen such that AP + P B is minimized, compute 60 a . [Answer] 100 ′ ′ [Solution] Reflect A along x -axis to A , and connect A B , the intersection point is the desired P .