本文用两种方法证明了费尔玛点所满足的条件，并论述了费尔玛点在解国际数学竞赛题中的重要应用。
The article has proved the conditions that the Filma point needs in two ways; and expresses the importance of the Filma point When maths problems are solved in Internationalmathematics competition.
在去年国际奥林匹克数学竞赛获胜的美国队伍中，几乎所有的成员都以中学生的身份参加了数学计算项目。
Nearly all members of last year's winning U.S. IMO team took part in Math Counts as middle school students.
在去年国际奥林匹克数学竞赛获胜的美国队伍中，几乎所有的成员都以中学生的身份参加了数学计算项目，罗教练也参加了。
Nearly all members of last year's winning U.S. IMO team took part in Math Counts as middle school students, as did Loh, the coach.
高中数学竞赛，包括那些最终通往国际数学奥林匹克竞赛的最大支持者之一是一个叫做“Math Counts”的中学项目。
One of the largest feeders for high school math competitions—including those that eventually lead to the IMO—is a middle school program called Math Counts.
在最近几届国际数学奥林匹克竞赛中，中国一直保持着很好的成绩。
In recent contests of the international mathematical Olympiad China has consistently done very well.
国际数学奥林匹克竞赛分两天进行，每天一场比赛，每场比赛四个半小时。
The tournament consists of two tests on two days, each lasting four and a half hours.
滑铁卢大学以数学、电脑、工程科学等学科闻名，学校的代表队曾多次获得ACM国际大学生程序设计竞赛的冠军。
Waterloo university in mathematics, computer science, engineering, the school is famous for its team has repeatedly received ACM international collegiate programming contest champions.
中国在国际数学奥林匹克中取得了出色的成绩，同时国内的数学竞赛活动也搞的如火如荼。
China has obtained a splendid result in the International Mathematical Olympiad. At the same time, domestic mathematics competition also does like a raging fire.
直到1985年中国队才首次参与国际数学奥林匹克竞赛，所以创下的记录是令人印象深刻的：中国队几乎赢了三分之二参加过的比赛。
China has been participating since only 1985, which makes its record all the more impressive: it has won almost two-thirds of the Olympiads it has competed in.
美国自1974年开始参加国际数学奥林匹克竞赛，如今已经获得109块金牌，总数而言位居第二。
S. began competing in 1974, it has won 109 gold MEDALS, putting it in second place overall.
第18届国际数学建模竞赛(icm)将于2016年1月举行，该赛事是面向大学生和高中生的国际性赛事。
Thee Interdisciplinary contest in Modeling (ICM), an international contest for high school students and college undergraduates, will hold its 18th annual competition in January 2016.
第18届国际数学建模竞赛(icm)将于2016年1月举行，该赛事是面向大学生和高中生的国际性赛事。
Thee Interdisciplinary contest in Modeling (ICM), an international contest for high school students and college undergraduates, will hold its 18th annual competition in January 2016.
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