HMMT 二月 2008 · GEN1 赛 · 第 10 题
HMMT February 2008 — GEN1 Round — Problem 10
题目详情
英文原题
- [ 6 ] Let ABC be an equilateral triangle with side length 2, and let Γ be a circle with radius centered at the center of the equilateral triangle. Determine the length of the shortest path that starts somewhere 2
on Γ, visits all three sides of ABC , and ends somewhere on Γ (not necessarily at the starting point).
√
Express your answer in the form of p − q , where p and q are rational numbers written as reducedfractions. 1
解析
英文解析
- [ 6 ] Let ABC be an equilateral triangle with side length 2, and let Γ be a circle with radius centered at the center of the equilateral triangle. Determine the length of the shortest path that starts somewhere 2
on Γ, visits all three sides of ABC , and ends somewhere on Γ (not necessarily at the starting point).
√
Express your answer in the form of p − q , where p and q are rational numbers written as reducedfractions.
√
Answer: − 1 Same as Geometry Test problem 8.28
23