IB Math Revision: Mastering the Formula Booklet with Revision Village | IB 数学复习：借助 Revision Village 掌握公式手册

📚 IB Math Revision: Mastering the Formula Booklet with Revision Village | IB 数学复习：借助 Revision Village 掌握公式手册

The IB Mathematics formula booklet is an official resource provided in both Paper 1 and Paper 2 for Analysis and Approaches (AA) and Applications and Interpretation (AI). Many students treat it as a safety net, but strong candidates use it as a speed tool. This article explains how to master the booklet and how Revision Village can turn passive formula lookup into active recall.

IB 数学公式手册是分析与方法（AA）和应用与解释（AI）两门课程在一卷和二卷考试中提供的官方资料。许多学生把它当作安全网，但高分考生会把它当作提速工具。本文将解释如何掌握公式手册，以及 Revision Village 如何把被动查公式变成主动回忆。

1. Understanding the IB Formula Booklet | 认识 IB 公式手册

The booklet is not a textbook. It contains only key results, not definitions, examples, or proof. You must know when and why each formula applies. The official IB booklet is about 12 to 16 pages, and every version is colour-coded by topic.

公式手册不是教科书。它只列关键结果，不含定义、例题或证明。你必须知道每个公式适用的情况和原因。官方 IB 公式手册约 12 到 16 页，每个版本都按主题用颜色区分。

In the exam, you may use the booklet for both short and long questions. However, flipping pages costs time. A clear mental map of the booklet turns it into a quick reference rather than a crutch.

考试中，简答题和长题都可以使用公式手册。但翻页会消耗时间。对公式手册结构有清晰的心理地图，能把它变成快速参考，而不是依赖拐杖。

2. Differences Between AA and AI Booklets | AA 与 AI 公式手册的差异

AA and AI have separate formula booklets. The AA booklet emphasises calculus, proof, and algebraic manipulation. It includes more derivative rules and integration techniques, such as integration by parts.

AA 和 AI 有各自独立的公式手册。AA 手册强调微积分、证明和代数运算。它包含更多求导法则和积分技巧，例如分部积分法。

The AI booklet includes more statistics and financial mathematics, such as compound interest, loan repayment, and Markov chains. It also contains matrices and graph theory formulas that are not in the AA booklet.

AI 手册包含更多统计和金融数学内容，例如复利、贷款偿还和马尔可夫链。它还包含矩阵和图论公式，这些内容不在 AA 手册中。

Always check your course code on the front cover before using the booklet. Using the wrong version can lead to missing a formula or wasting time on irrelevant sections.

使用前务必核对封面上的课程代码。使用错误版本可能导致漏看公式，或在无关章节浪费时间。

3. Formula Booklet Zones: Algebra and Functions | 公式手册分区：代数与函数

The algebra section covers exponents, logarithms, binomial expansion, and sequences. Key results include the laws of exponents: aᵐ × aⁿ = aᵐ⁺ⁿ and (aᵐ)ⁿ = aᵐⁿ.

代数部分涵盖指数、对数、二项式展开和数列。关键公式包括指数法则：aᵐ × aⁿ = aᵐ⁺ⁿ 以及 (aᵐ)ⁿ = aᵐⁿ。

For logarithms, remember logₐ x + logₐ y = logₐ(xy) and logₐ x – logₐ y = logₐ(x/y). These appear in simplification and equation-solving questions.

对数部分要记住 logₐ x + logₐ y = logₐ(xy) 以及 logₐ x – logₐ y = logₐ(x/y)。这些公式常见于化简和解方程题。

Sequences include arithmetic and geometric forms. The nth term of an arithmetic sequence is uₙ = u₁ + (n-1)d, and the sum of the first n terms is Sₙ = n/2 (2u₁ + (n-1)d).

数列包括等差和等比形式。等差数列的第 n 项为 uₙ = u₁ + (n-1)d，前 n 项和为 Sₙ = n/2 (2u₁ + (n-1)d)。

Quadratic formula: x = (-b ± √(b² – 4ac)) / 2a | 二次公式：