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HMMT 二月 2008 · GEN2 赛 · 第 9 题

HMMT February 2008 — GEN2 Round — Problem 9

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 6 ] Let ABC be a triangle, and I its incenter. Let the incircle of ABC touch side BC at D , and let lines BI and CI meet the circle with diameter AI at points P and Q , respectively. Given BI = 2 6 , CI = 5 , DI = 3, determine the value of ( DP/DQ ) .
解析
  1. [ 6 ] Let ABC be a triangle, and I its incenter. Let the incircle of ABC touch side BC at D , and let lines BI and CI meet the circle with diameter AI at points P and Q , respectively. Given BI = 2 6 , CI = 5 , DI = 3, determine the value of ( DP/DQ ) . 75 Answer: Same as Geometry Test problem 9. 64