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HMMT 二月 2008 · GEN2 赛 · 第 2 题

HMMT February 2008 — GEN2 Round — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 2 ] Let ABC be an equilateral triangle. Let Ω be a circle inscribed in ABC and let ω be a circle tangent externally to Ω as well as to sides AB and AC . Determine the ratio of the radius of Ω to the radius of ω .
解析
  1. [ 2 ] Let ABC be an equilateral triangle. Let Ω be a circle inscribed in ABC and let ω be a circle tangent externally to Ω as well as to sides AB and AC . Determine the ratio of the radius of Ω to the radius of ω . Answer: 3 Same as Geometry Test problem 2.