對于有意向申請加拿大本科的同學,在Euclid上取得好成績是數學能力最好的體現。尤其對于滑鐵盧大學來說,Euclid分數比AMC分數更有說服力,是申請滑鐵盧大學數學院錄取和發放獎學金時重要參考標準之一。如果能進入Honor Roll,就能為你的簡歷爭光添彩。當然,Euclid對于申請美本的同學來說,也非常有參加的價值。Euclid歐幾里得數學學術活動輔導如何備賽?
雖然報名時間已經截止,但是我們可以趁這段時間好好復習。
學術活動時間:
2023年4月4日(美洲賽區)
2023年4月5日(國際賽區)
學術活動形式:
2.5小時,線下紙筆考,結束后紙質材料將被寄回。
比賽內容:
共10道題,總分100分,允許使用計算器。
全英文讀題解題。
分為簡答題和全解題,部分只需要答案,部分需要完整解答證明過程。根據答題步驟及思路技巧評分,如果答題步驟或方式過為散亂,即使結果正確可能也拿不到全分。
Euclid歐幾里得數學學術活動如何備賽?
要備賽Euclid歐幾里得數學學術活動,您可以考慮采取以下步驟:
閱讀學術活動官網上提供的所有相關信息,如考試時間、考試形式、考試內容等等。
獲取過去幾年的學術活動試題和解答,多做幾次以熟悉題型和考試難度。
閱讀相關數學書籍和資料,如數學學術活動經典教材、數學學術活動指南、數學學術活動歷年試題集等等。
加入數學社區或學術活動俱樂部,與其他對數學學術活動感興趣的學生交流,分享經驗和學習資源。
練習做題和解題,做到理解題意、把握解題方法、掌握解題技巧??梢詫ふ依蠋熁蚱渌薪涷灥膶W術活動選手進行指導和評估。
掃碼聯系小助手,免費領取學術活動資料及真題,還有講座等你來~

1、 適合人群:12年級及以下年級學生。
2、 滾動開班,歡迎一起組班
3、 Euclid培訓班為3-8人小班,滿3人開班。
| Main?Topics | Selected?Essential?Details?(Materials?with?*?are?aimed?for?the?potential?last?Problems) | |
| Number?Theory | Prime?factorization | Number?of?factors,?Sum/Product?of?factors |
| LCM?and?GCD,?*Euclidean?Algorithm?and?Bézout's?Theorem | ||
| Congruence?and?Modular?Algebra | Principles?of?Modular?Calculations | |
| *Euler’s?Theorem/Fermat's?Little?Theorem | ||
| *Chinese?Remainder?Theorem(CRT) | ||
| Digits?and?Base-n?Representation | Mutual?Conversion?between?different?bases | |
| Diphantine?Equations | Estimation?and?Molular?Method | |
| Algebra | Sequences | Arithemetic?and?Geometric?Sequences |
| Periodic?Sequences,?*Recursive?Sequences?and?Characteristic?Equation?Method | ||
| *Conjecture?and?Mathematical?Induction?Proof | ||
| Functions?and?Equations | Elementary?Functions?(Linear,?Quadratic,?Exponential,?Logarithmic,?Trigonometric)?and?their?properties | |
| Functional?Equations | ||
| *Gaussian/Floor?function | ||
| Inequalities?and?Extreme?Value?Problems | Simple?Polynomial?Inequalities | |
| AM-GM?Inequality,?*Cauchy?inequality | ||
| Polynomials | Division?Algorithm?of?Polynomials?and?the?Remainder's?Theorem | |
| Fundamental?Theorem?of?Algebra?(Polynomial?Factorization)?and?Vieta's?Theorem | ||
| The?Rational?Root?Theorem | ||
| Geometry | Triangles?and?Polygons | The?Law?of?Sines,?The?Law?of?Cosines |
| Area?Method?and?Heron's?formula | ||
| *Menelaus's?theorem,?Ceva's?theorem,?Stewart?Theorem | ||
| Centers?of?triangle | ||
| Circles | Chords,?Arcs,?Tangents,?Inscribed?and?Central?accepted?angles | |
| Cyclic?Quadrilateral | ||
| Power?of?a?Point?Theorem,?*Ptolemy's?theorem | ||
| Basic?Coordinate?Geometry | Coordinate?System?and?Equations?of?lines,?Circles | |
| Basic?Solid?Geometry | Lines?in?space,?Planes;?Rectangular?Box,?Pyramids,?Prisms,?Sphere?and?Cones,Frustums | |
| Combinatorics | Basic?Counting?Principle | Sum?Rules?and?Product?Rules |
| Permutations?and?Combinations | Combinatorics?numbers?and?*Combinatorics?identities | |
| Grouping?Theorems,?Boards?Method?and?the?Problem?of?Balls?into?Boxes | ||
| Logic?reasoning | *Pigeonhole?principle |

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