2000COMC加拿大数学公开赛真题免费下载

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

真题与答案下载

COMC加拿大数学公开赛

翰林国际教育全网首发

力争超快速发布最全资料

助你在升学路上一帆风顺

为你

千千万万遍

2000 COMC真题免费下载

共计2.5小时考试时间

此套试卷由两部分题目组成

Part A共8题,每题5分

Part B共4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

部分真题预览:

Part A :

2)The sequence 9, 18, 27, 36, 45, 54, … consists of successive multiples of 9. This sequence is then altered by multiplying every other term by –1, starting with the first term, to produce the new sequence – 9,18, – 27, 36, – 45, 54,... . If the sum of the first n terms of this new sequence is 180, determine n.

3)The symbol n! is used to represent the product n (n –1)(n – 2)L(3)(2)(1). For example, 4!= 4(3)(2)(1). Determine n such that n!= (215)(36 )(53)(72 )(11)(13).

8)In the diagram, D ABC is equilateral and the radius of its inscribed circle is 1. A larger circle is drawn through the vertices of the rectangle ABDE. What is the diameter of the larger circle?2000COMC加拿大数学奥赛真题与答案免费下载

Part B :

2)

  1. Alphonse and Beryl are playing a game, starting with the geometric shape shown in Figure 1. Alphonse begins the game by cutting the original shape into two pieces along one of the lines. He then passes the piece containing the black triangle to Beryl, and discards the other piece. Beryl repeats these steps with the piece she receives; that is to say, she cuts along the length of a line, passes the piece containing the black triangle back to Alphonse, and discards the other piece. This process continues, with the winner being the player who, at the beginning of his or her turn, receives only the black triangle. Show, with justification, that there is always a winning strategy for Beryl.2000COMC加拿大数学奥赛真题与答案免费下载
  2. Alphonse and Beryl now play a game with the same rules as in (a), except this time they use the shape in Figure 2 and Beryl goes first. As in (a), cuts may only be made along the whole length of a line in the figure. Is there a strategy that Beryl can use to be guaranteed that she will win? (Provide justification for your answer.)2000COMC加拿大数学奥赛真题与答案免费下载

完整版真题下载链接注册登录后查看

文件为PDF格式

推荐使用电脑下载

 

2000 COMC加拿大数学奥赛完整版答案免费下载

请持续关注,稍后更新

 

如需打包下载,请联系小助手了解更多

翰林学员全站资料免费打包下载,专享高速下载通道。


关于翰林

翰林教育是一家涵盖各科目国际学术竞赛教辅(AMC/HiMCM/USACO/DECA)、国际课程辅导(///IGCSE)、国外著名夏校项目申请的专业国际教育培训机构。为广大学员家长提供高端本科研究生申请及就业咨询,有一对一等多种线上线下的教辅方式,为学员量身定制从9年级到研究生的权威全程国际竞赛方案。翰林拥有业内稀缺的竞赛资料和课程真题等珍贵的学术资源,国内课程辅导领域罕见的纯正海归精英教辅团队-翰林专业导师团-均有世界名校背景和欧美留学经历,都曾供职全球知名教育集团、国际学校,学术团队和世界500强公司了解更多翰林国际教育信息

翰林国际教育为大家精心打造:

8大科目100个以上国际竞赛服务产品
覆盖全科的国际课程辅导(//IGCSE/等)
1000家以上高端学术夏校项目
500个以上覆盖全科的科研主题 




翰林国际教育资讯二维码