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AMC12 备考资源中心AMC12 Resources Hub

AMC12 备赛资料一站式集齐:从历年真题及答案、AoPS 备赛书单到核心词汇、备赛资源清单,助力系统备考、冲刺 AIME 晋级。One-stop AMC12 prep: past papers & answers, AoPS book list, vocabulary, step-by-step checklist.

Past Papers

AMC12 历年真题及答案AMC12 Past Papers & Answers

2000-2025 全部 26 年 AMC12 真题 + 详细解析,PDF 高清排版免费下载。All 26 years of AMC12 past papers 2000-2025 with detailed solutions, free PDF download.

历年真题及答案已整理好Past papers ready

查看历年真题View Past Papers
Video Course

AoPS 难题选讲视频课AoPS Hard-Problems Video

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

AoPS AMC10/12 难题选讲视频课

难题视频课已整理好Video course ready

Book List

AMC12 备赛书单AMC12 Book List

AoPS 系列(Introductory / Vol 2 / Intermediate / PreCalculus)、Mastering AMC10/12、AMC12 专用教材,覆盖入门到冲分。AoPS series, Mastering AMC10/12, AMC12 textbooks — beginner to advanced.

1

AoPS Introductory 系列AoPS Introductory Series

巩固基础知识的入门四本:①计数与概率导论 ②几何概论 ③代数导论 ④数论导论。全面系统,需较长时间完成。Four intro books: Counting & Probability, Geometry, Algebra, Number Theory. Comprehensive but time-intensive.

2

AoPS Volume 2: and BeyondAoPS Volume 2: and Beyond

经典问题解决教科书,适合已掌握 Vol 1 的学生。强调理解方法而非死记公式,举一反三。Classic problem-solving textbook for students who finished Vol 1. Emphasizes understanding over memorizing.

3

AoPS Intermediate 系列AoPS Intermediate Series

中级进阶两本:a. Intermediate Algebra b. Intermediate Counting & Probability。Two intermediate books: Intermediate Algebra, Intermediate Counting & Probability.

4

PreCalculus by AoPSPreCalculus by AoPS

微积分学前课,涵盖三角学、复数、向量和矩阵,近 1000 道题从基础到竞赛级。Pre-calculus covering trig, complex numbers, vectors, matrices. Nearly 1000 problems.

5

Mastering AMC 10/12Mastering AMC 10/12

学习 AMC 10/12 高级概念:Linearity of Expectation、Markov Chains、Cyclic Quadrilaterals 等。Advanced concepts: Linearity of Expectation, Markov Chains, Cyclic Quadrilaterals.

6

AMC12 备考必入——4 本教材 + 2 本练习册AMC12 Must-Have: 4 Textbooks + 2 Workbooks

6 册套装(5 主教材 + 1 练习册),专为备考 AMC12 设计。4 教材 + 2 精编练习册,学练闭环;从基础概念→竞赛高频难点→高阶破题策略,1000+ 超精解析题。6-book set (5 textbooks + 1 workbook) for AMC12. 1000+ problems with detailed solutions.

以上 AMC12 备赛书籍已打包整理好All AMC12 prep books packed

Vocabulary

AMC12 核心词汇AMC12 Vocabulary

严格对标 AMC12 考纲,按代数/几何/数论/组合四大模块分类,避开题干理解陷阱。Aligned to AMC12 syllabus, by algebra/geometry/number theory/combinatorics.

AMC12 词汇表 1AMC12 词汇表 2

AMC12 必备词汇表已整理好Vocabulary list ready

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).

Checklist

AMC12 备赛资源清单AMC12 Prep Checklist

按 Step I-IV 分阶段备考,从基础到模拟实战。Step-by-step prep from basics to mock exams.

I

Step I:入门基础Step I: Basics

竞赛新手或首次参加 AMC12,先掌握基本概念。推荐 AMC10/12 基础免费课程(Expected Value、Modular Arithmetic、Diophantine Equations 等)与 AoPS 第一卷。New to AMC12? Start with free basics and AoPS Volume 1.

II

Step II:巩固基础Step II: Consolidate

阅读 AoPS Introductory 系列入门四本(计数/几何/代数/数论),配合 Alcumus 在线练习。Read AoPS Introductory series; practice with Alcumus.

III

Step III:考前冲刺(最后 1-2 月)Step III: Final Sprint

回顾所有重要概念:AoPS Vol 2、Intermediate 系列、PreCalculus、Mastering AMC10/12。Review key concepts: AoPS Vol 2, Intermediate, PreCalculus, Mastering AMC10/12.

IV

Step IV:模拟实战Step IV: Mock Exams

① 历年官方 AMC12 真题(75 分钟限时模拟)② AoPS 2023/2022/2021 模拟竞赛 ③ AoPS 论坛用户模拟赛 ④ CMC 模拟竞赛。练习网站:Alcumus、AMC Trivial、MAATester、MathLab。① Official past AMC12 (75-min timed) ② AoPS mock contests ③ CMC mocks. Practice: Alcumus, AMC Trivial, MAATester, MathLab.

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