2019COMC加拿大數學公開賽真題答案免費下載

歷年 Canadian Open Mathematics Challenge加拿大數學公開賽

真題與答案下載

2019 COMC真題答案免費下載

共計2.5小時考試時間

此套試卷由三部分題目組成

4題簡答題，每題4分

4題挑戰題，每題6分

4題解答題，每題10分

共計12題，滿分80分

不可使用任何計算器

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部分真題答案預覽：

A2. Triangle ABC has integer side lengths and perimeter 7. Determine all possible lengths of side AB.

Solution: By the triangle inequality, the largest possible length of any side is 3. Moreover, if all side lengths were less than 3, the perimeter would be less than 7. Thus, at least one side has length 3. This leaves the other sides has (2,2) or (1,3). Thus, AB can be 1, 2, or 3.