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官方解禁首發(fā)！2021年AIME I 考試真題及答案來啦！快來看看你考得怎么樣？

Category: 國際競賽, 福利干貨, 翰林嚴選 Date: 2021年3月11日上午11:01

2021年的AIME I 今日圓滿落幕！

成績沒出，想必大家神經(jīng)也很緊繃

為了緩解大家的緊張情緒，

翰林在解禁后第一時間準備了AIME I? 3大福利

🏆AIME I?真題試卷

🏆?AIME I 標準答案

🏆?翰林金牌導(dǎo)師 AIME I 文字版解析 快來領(lǐng)取吧~

01 AIME I 真題

Q1.Zou and Chou are practicing their 100-meter sprints by running 6 races against each?other. Zou wins the first race, and after that, the probability that one of them wins a race?is?2/3.if they won the previous race but only1/3.if they lost the previous race. The
probability that Zou will win exactly 5 of the 6 races is
m/n, where m and n are relatively?prime positive integers. Find m+ n.

Q2.In the diagram below, ABCD is a rectangle with side lengths AB=3 and BC=11, and?AECF is a rectangle with side lengths AF=7 and FC=9, as shown. The area of the shaded?region common to the interiors of both rectangles is?m/n, where m and n are relatively?prime positive integers. Find m+ n.

官方解禁首發(fā)！2021年AIME I 考試真題及答案來啦！快來看看你考得怎么樣？
Q3.Find the number of positive integers less than 1000 that can be expressed as the difference of two integral powers of 2.

Q4.Find the number of ways 66 identical coins can be separated into three nonempty piles?so that there are fewer coins in the first pile than in the second pile and fewer coins in?the second pile than in the third pile.

Q5.Call a three term strictly increasing arithmetic sequence of integers special if the sum?of the squares of the three terms equals the product of the middle term and the square?of the common difference. Find the sum of the third terms of all special sequences.

以上就是剛剛結(jié)束的AIME I 卷部分真題了 小伙伴們都考的如何呢？

AIME ▪ 等你來戰(zhàn) 02 AIME II

注意事項

考試時間

AIME II 考試時間：2021年3月18日（美國東部時間）

考試形式

考試時長：3小時

題目數(shù)量：15題

題型：填空題，答案為000-999 (含) 之間的整數(shù)

計分規(guī)則：答對得1分，答錯或不答得0分

滿分：15分

計算器：不允許使用

知識點分布

和AMC 10、AMC 12一樣，考查范圍仍然是算術(shù)、代數(shù)、計數(shù)、幾何、數(shù)論和概率，以及其他高中數(shù)學(xué)知識。微積分不在數(shù)學(xué)學(xué)術(shù)活動考查范圍內(nèi)，但允許使用微積分方法解題。

03 備戰(zhàn)AMC，從現(xiàn)在開始！

暫時沒有晉級或者打算年底參加AMC8or 明年參加AMC10/12的同學(xué)看過來!想像翰林學(xué)子一樣創(chuàng)造輝煌戰(zhàn)績嗎？優(yōu)秀的老師和精品班課在等著你哦~