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PUMaC 2013 · 几何（B 组） · 第 5 题

PUMaC 2013 — Geometry (Division B) — Problem 5

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. [ 5 ] Circle w with center O meets circle Γ at X, Y , and O is on Γ. Point Z ∈ Γ lies outside w 2 such that XZ = 11, OZ = 15 and Y Z = 13. If the radius of circle w is r , find r . ◦ ◦ ◦
解析
  1. [ 5 ] Circle w with center O meets circle at X, Y , and O is on . Point Z 2 lies outside w 2 such that XZ = 11, OZ = 15 and Y Z = 13. If the radius of circle w is r , find r . 2 2 Solution r = 15 11 ⇤ 13 = 82 .