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HMMT 十一月 2014 · 冲刺赛 · 第 6 题

HMMT November 2014 — Guts Round — Problem 6

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 6 ] In the octagon COM P U T ER exhibited below, all interior angles are either 90 or 270 and wehave CO = OM = M P = P U = U T = T E = 1.
    P UET
    O MD
    Point D (not to scale in the diagram) is selected on segment RE so that polygons COM P U T ED and rC
    CDR have the same area. Find DR .
    HMMT NOVEMBER 2014, 15 NOVEMBER 2014 — GUTS ROUND
    Organization Team Team ID#
解析

英文解析

  1. [ 6 ] In the octagon COM P U T ER exhibited below, all interior angles are either 90 or 270 and wehave CO = OM = M P = P U = U T = T E = 1.
    P UET
    O MD
    Point D (not to scale in the diagram) is selected on segment RE so that polygons COM P U T ED and rC
    CDR have the same area. Find DR .
    Answer: 2 The area of the octagon COM P U T ER is equal to 6. So, the area of CDR must be 1