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HMMT 二月 2007 · GEN1 赛 · 第 2 题

HMMT February 2007 — GEN1 Round — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ 2 ] Rectangle ABCD has side lengths AB = 12 and BC = 5. Let P and Q denote the midpoints of segments AB and DP , respectively. Determine the area of triangle CDQ .
解析
  1. [ 2 ] Rectangle ABCD has side lengths AB = 12 and BC = 5. Let P and Q denote the midpoints of segments AB and DP , respectively. Determine the area of triangle CDQ . 1 Answer: 15 . Note that [ CDP ] = · 5 · 12 = 30, while the area of triangle CDQ is half of the area 2 of triangle CDP .