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AMC10 备考资源中心AMC10 Resources Hub

AMC10 备赛资料一站式集齐:从备赛书单到分类题库,从知识点整理到必备公式与核心词汇,助力系统备考、冲刺 AIME 晋级。One-stop AMC10 prep resources: book list, classified problem bank, key topics, formulas and vocabulary.

Book List

AMC10 备赛书单AMC10 Book List

精选 OmegaLearn、AoPS、Preparation 系列及进阶挑战书目,覆盖入门到拿奖全阶段。Curated OmegaLearn, AoPS, Preparation series and advanced challenge books — from beginner to award-winning.

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OmegaLearn.org 推荐书籍OmegaLearn.org Recommended Books

《Mastering AMC10/12 Book》

OmegaLearn 官方推荐,被誉为 AMC10/12 必备参考读物,专为 G9-12 国际学生编撰,全书厚达 576 页,为 AMC 新手提供全面理论知识与实战练习。OmegaLearn officially recommended; a must-have AMC10/12 reference for G9-12 international students. 576 pages of comprehensive theory and practice for AMC beginners.

《The Book of Mathematical Formulas & Strategies》

可作为各种数学竞赛前快速复习的参考指南,涵盖最流行的定理、公式与策略。A quick-review guide for math competitions, covering the most popular theorems, formulas and strategies.

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AoPS Introduction 系列黑皮书AoPS Introduction Series

AMC 备考基石,理论深度最强,四本入门:①《Introduction to Algebra》代数入门 ②《Introduction to Geometry》几何入门 ③《Introduction to Counting & Probability》排列组合入门 ④《Introduction to Number Theory》数论入门。The cornerstone of AMC prep — deepest theory. Four intro books: Algebra, Geometry, Counting & Probability, Number Theory.

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AMC10 Preparation V1-V6 系列AMC10 Preparation V1-V6 Series

本套 AMC10 教材 6 册(5 本主教材 + 1 本练习册),专为 6-10 年级设计。图示、例题与习题系统讲解知识点,每个例题后配分层习题,从基础到进阶逐步提升,附全步骤答案。A 6-book AMC10 set (5 textbooks + 1 workbook) for grades 6-10. Systematic illustrated examples with tiered exercises and full step-by-step solutions.

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《Challenging Problems in Algebra》《Challenging Problems in Geometry》

《Challenging Problems in Algebra》初高中代数核心考点全覆盖,273 页拆解方程/函数/数列等 12 大模块,附 83 种高阶变形公式链。Covers all core algebra topics; 273 pages breaking down 12 modules with 83 advanced formula chains.
《Challenging Problems in Geometry》适中到高难度几何题分类整理,提供详细解题思路与技巧,涵盖常见几何问题解法与场景分析。Classified geometry problems from medium to hard, with detailed approaches, techniques and use-case analysis.

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AMC 封神书籍 · 数学奥林匹克第一步AMC Champion Books · First Step to Math Olympiad

从 AMC 迈向更高级别竞赛的进阶读物,数学奥林匹克第一步,拓展竞赛思维与解题视野。An advanced reader from AMC to higher-level olympiads — the first step to Math Olympiad.

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AMC 奥数书AMC Olympiad Books

AMC 奥赛专题书籍,拓展解题视野与竞赛思维,适合冲刺高分与 AIME 晋级。AMC olympiad topic books to expand problem-solving horizons; ideal for high scores and AIME qualification.

以上 AMC10 备赛教材已打包整理好!All AMC10 prep books packed and ready!

扫码即可免费下载全部备赛书单 PDFScan to download all prep book PDFs free

Video Course

AoPS 难题选讲视频课AoPS Hard-Problems Video Course

精选 AoPS 2012-2020 AMC10/12 难题,全英文视频讲解。AoPS 2012-2020 AMC10/12 hard problems, all-English video walkthroughs.

AoPS AMC10/12 难题选讲视频课
AoPS 2012-2020 AMC10/12 难题选讲视频课(全英版)AoPS 2012-2020 AMC10/12 Hard-Problems Video Course (All-English)
全英版视频课All-English Video

AoPS 2012-2020 AMC10/12 难题选讲AoPS 2012-2020 AMC10/12 Hard Problems

覆盖 2012-2020 年 AMC10/12 高难度真题,全英文逐题讲解,侧重思路与方法,适合冲击 AIME 晋级与高分的进阶选手。Covers 2012-2020 AMC10/12 hard problems with all-English walkthroughs focusing on methods — for AIME qualifiers and high scorers.

Problem Bank

AMC10 考前必刷分类题库AMC10 Classified Problem Bank

按主要考点分模块,针对薄弱环节专项练习。By topic — target your weak areas with focused practice.

代数Algebra

方程、函数、数列、不等式等代数专项Equations, functions, sequences, inequalities

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平面几何Plane Geometry

三角形、圆、相似与全等、坐标几何Triangles, circles, similarity, coordinate geometry

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立体几何Solid Geometry

多面体、截面、表面积与体积Polyhedra, cross-sections, surface & volume

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数论Number Theory

整除、质因数、同余、进制转换Divisibility, primes, congruence, bases

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排列组合Combinatorics

计数、概率、容斥、鸽巢原理Counting, probability, inclusion-exclusion, pigeonhole

AMC10 分类题库
AMC10 分类题库内页

分类题库 + 知识点已整理好!Problem bank + key points ready!

扫码即可免费下载分类题库 PDFScan to download the problem bank PDF free

Key Topics

AMC10 知识点整理AMC10 Key Points

基于 26 年真题大数据统计的高频考点与知识体系。High-frequency topics from 26 years of past-paper data.

AMC10 知识点整理

高频考点汇总High-Frequency Topics

梳理代数、几何、数论、组合四大模块最常考知识点与出题规律,配占比进度条,精准定位复习重点。Covers the most-tested topics across algebra, geometry, number theory and combinatorics, with frequency bars to pinpoint review focus.

Formulas

AMC10 必备公式表AMC10 Formula Sheet

几何、代数、数论、概率统计四大模块必背公式速查。Essential formulas: geometry, algebra, number theory, probability.

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核心公式速查表Core Formula Sheet

三角形面积/海伦/勾股/余弦、韦达、数列求和、组合数、欧拉函数、费马小定理等必背公式一览,考前快速回顾。Essential formulas: triangle area, Heron, Pythagorean, law of cosines, Vieta, series sums, combinations, Euler totient, Fermat little theorem.

Vocabulary

AMC 数学竞赛核心词汇AMC Math Vocabulary

适应中英双语试卷,掌握专业术语英文表达。Bilingual glossary to master English math terminology.

双语必备Bilingual Must-Have

中英术语对照表Bilingual Glossary

自 2020 年起 AMC10 可选中英双语试卷,但中文多为直译。不熟悉数学术语易误解题意。本表按五大模块整理高频术语中英对照,帮助准确作答。Since 2020 AMC10 offers bilingual papers, but Chinese is often literal translation. This glossary covers high-frequency terms across 5 modules for accurate understanding.

AMC 数学竞赛核心词汇
Textbook

AMC10/12 精编教材AMC10/12 Textbook

需购买Paid

中英双语全文对照,17 章体系化知识架构,仅提供纸质版。Bilingual full-text, 17-chapter system. Print only.

AMC10/12 精编教材

教材亮点Highlights

• 中英双语全文对照:每个概念/定理/例题均提供中英双语。
• 17 章体系化架构:数论→代数→几何→组合,覆盖 AMC10/12 全部范围。
• 概念+定理+真题三合一:例题选自 AMC/AIME 真题。
• 对标高阶:覆盖复数、三角函数、对数,AMC 到 AIME 无缝衔接。
• 一线名师主编:北大+LSE 双名校背景,USAMO 银牌战绩。
• Bilingual full text • 17-chapter system • Concepts + theorems + past papers • Advanced topics (complex/trig/logs) • Top instructor (Peking U + LSE, USAMO silver).

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