2019COMC加拿大数学公开赛真题答案免费下载

历年 Canadian Open Mathematics Challenge加拿大数学公开赛

真题与答案下载

2019 COMC真题答案免费下载

共计2.5小时考试时间

此套试卷由三部分题目组成

4题简答题，每题4分

4题挑战题，每题6分

4题解答题，每题10分

共计12题，满分80分

不可使用任何计算器

完整版下载链接见文末

部分真题答案预览：

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.