2022年上半年的重要国际数学竞赛,除了AMC,还有欧几里得Euclid。本文就来一一介绍2022欧几里得数学竞赛时间、题型、真题与复习建议。想为大学申请做背提的你快点关注吧。
2022欧几里得数学竞赛时间
欧几里得数学竞赛(Euclid Mathematics Contest)是由加拿大滑铁卢大学(University of Waterloo)的数学学院举办的面向全球高中生的数学竞赛,特别针对国际学校12年级的学生。
大家都知道牛剑G5在招生过程中重视申请者的学术能力与学术热情,在如今的英国本科申请趋势下,依靠优异的成绩已无法牢牢吸引招生官的目光,毕竟能剑指牛剑G5的小伙伴里很少有学渣。
因此不少申请者选择参加各种国际学科思维挑战活动,在为申请积累素材与经验的同时,也能够体现自己的学术能力。
2022年的欧几里得的竞赛时间为4月5日(北/南美地区),报名截止日期为3月11日。
考试时间为2.5小时,共10道题,设有填空题和简答题两类题型。
欧几里得数学竞赛真题与答案距离
(2021年)
6
(a)Suppose that n>5 and that the numbers t1t2t3....tn-2tn-1tn form an
arithmetic sequence with n terms. Ift3=5tn-2=95,and the sum of all n terms is 1000.what is the value of n?
(An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant,called the common difference.For example,3,5,79 are the first four terms of an arithmetic sequence.
(b)Suppose that a and r are real numbers. A geometric sequence with first term a
and common ratio r has 4 terms. The sum of this geometric sequence is 6+6√2 A second geometric sequence has the same first term a and the same common ratio r, but has 8 terms. The sum of this second geometric sequence is 30+30√2 Determine all possible values for a.
(A geometric sequence is a sequence in which each term after the first is obtained from the previous term by multiplying it by a non-zero constant, called the common ratio. For example,3-612,-24are the first four terms of a geometric sequence.)
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7
(a)A bag contains 3 green balls, 4 red balls, and no other balls. Victor removes balls
randomly from the bag, one at a time, and places them on a table. Each ball in the bag is equally likely to be chosen each time that he removes a ball.He stops removing balls when there are two balls of the same colour on the table. What is the probability that, when he stops, there is at least 1 red ball and at least 1 green ball on the table?
(b)Suppose that f(a)=2a2-3a+1 for all real numbers a and g(b)=log,b for all6>0.Determine all 0 with 0<0<2xfor which f(g(sin0))=0.
答案如下
2022欧几里得数学竞赛时间等参数信息就分享到这里。像欧几里得这类的国际竞赛不像学校考的那样有很多固定的套路,会非常考验学生的创造力和灵活的思维能力,如果感觉独自摸索复习有点孤单,可以点击预约试听【唯寻欧几里得竞赛班课】——
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上半年国际竞赛时间表:AMC UKCHO BBO NEC来助力大学申请啦