21年歐幾里得數(shù)學(xué)競(jìng)賽題及解析

Category: 國(guó)際競(jìng)賽, 數(shù)學(xué)國(guó)際競(jìng)賽 Date: 2022年1月19日下午3:31

21年歐幾里得數(shù)學(xué)學(xué)術(shù)活動(dòng)題及解析對(duì)于今年備戰(zhàn)的人來(lái)說(shuō)是非常重要的，那么小編匯總了2021年的真題，供大家參考，如果想要近十年的歐幾里得數(shù)學(xué)學(xué)術(shù)活動(dòng)真題，皆可領(lǐng)取，下面就先來(lái)看看2021年的真題吧。大家在備戰(zhàn)的時(shí)候一定要研讀真題的形式，出題的范圍等。

（篇幅有限，本文對(duì)于學(xué)術(shù)活動(dòng)真題做了縮減，可掃碼免費(fèi)領(lǐng)取完整版，學(xué)術(shù)活動(dòng)資料/報(bào)名通道都可前來(lái)咨詢）

2021 EuclidContest真題：

2021 EuclidContest

The CENTRE for EDUCATION
in MATHEMATICS and COMPUTING
cemc.uwaterloo.ca
Euclid Contest
Wednesday, April 7, 2021
(in North America and South America)
Thursday, April 8, 2021
(outside of North America and South America)

Calculating devices are allowed, provided that they do not have any of the followingfeatures: (i) internet access, (ii) the ability to communicate with other devices, (iii)information previously stored by students (such as formulas, programs, notes, etc.),(iv) a computer algebra system, (v) dynamic geometry software.
Parts of each question can be of two types:
1. SHORT ANSWER parts indicated by
? worth 3 marks each
? full marks given for a correct answer which is placed in the box
? part marks awarded only if relevant work is shown in the space provided
2. FULL SOLUTION parts indicated by
? worth the remainder of the 10 marks for the question
? must be written in the appropriate location in the answer booklet
? marks awarded for completeness, clarity, and style of presentation
? a correct solution poorly presented will not earn full marks
WRITE ALL ANSWERS IN THE ANSWER BOOKLET PROVIDED.
? Extra paper for your finished solutions supplied by your supervising teacher must be inserted into your answer booklet. Write your name, school name, and question number on any inserted pages.
? Express answers as simplified exact numbers except where otherwise indicated. For example, π + 1 and 1 ? √2 are simplified exact numbers.
Do not discuss the problems or solutions from this contest online for the next 48 hours.
The name, grade, school and location, and score range of some top-scoring students will be published on our website, cemc.uwaterloo.ca. In addition, the name, grade, school and location, and score of some top-scoring students may be shared with other mathematical organizations for other recognition opportunities.