Mastering the Edexcel GCE Maths Formula Booklet | 掌握爱德思 GCE 数学公式手册

📚 Mastering the Edexcel GCE Maths Formula Booklet | 掌握爱德思 GCE 数学公式手册

The Edexcel GCE Maths Formula Booklet (P54458A) is an essential companion for A-Level Mathematics examinations. It contains the key formulae for Pure Mathematics, Statistics and Mechanics, so you do not need to memorise every result. However, using it effectively requires familiarity, speed and careful matching of notation.

爱德思 GCE 数学公式手册（P54458A）是 A-Level 数学考试中不可或缺的工具。它包含了纯数、统计和力学的核心公式，因此你并不需要记住每一个结果。然而，有效使用它需要熟悉程度、速度以及对符号的仔细对应。

1. What the Booklet Contains | 手册包含哪些内容

The booklet is divided into three main sections: Pure Mathematics, Statistics, and Mechanics. Each section lists the formulae that examiners expect you to be able to use without derivation, although you may still be asked to prove or apply them in unfamiliar contexts.

公式手册主要分为三大部分：纯数、统计学和力学。每个部分列出了考官希望你能够直接使用的公式，虽然考试中仍可能要求你在陌生情境下证明或应用这些公式。

It is not a full textbook. Concepts, definitions, and many standard methods are not included, so you must still learn these thoroughly during your course.

它并不是一本完整的教科书。概念、定义以及许多标准方法并未包含在内，因此你在课程学习中仍需彻底掌握这些内容。

2. Pure Mathematics: Formula Recognition | 纯数：公式识别

In the Pure Mathematics section you will find the quadratic formula, laws of logarithms, trig identities, binomial expansion, series sums, differentiation and integration rules, and the trapezium rule. These are grouped by topic, so you can locate them quickly if you have practised.

在纯数部分，你会找到二次方程求根公式、对数法则、三角恒等式、二项展开式、数列求和、微积分法则以及梯形法则。这些公式按主题分组，因此如果你练习过，就能快速定位。

For example, the quadratic formula is given as:

例如，二次方程求根公式为：

x = (−b ± √(b² − 4ac)) / (2a)

Do not simply copy the formula; you must identify a, b and c correctly from the equation ax² + bx + c = 0, especially when coefficients are negative or fractions.

不要简单地抄写公式；你必须从方程 ax² + bx + c = 0 中正确识别出 a、b 和 c，尤其是当系数为负数或分数时。

3. Statistics: Tables and Distribution Formulae | 统计：表格与分布公式

The Statistics section provides definitions of mean, variance and standard deviation for grouped and ungrouped data, as well as the binomial and Poisson distributions and the normal distribution. It also includes statistical tables for the normal, binomial and Poisson probabilities.

统计学部分提供了分组与未分组数据的平均数、方差和标准差的定义，以及二项分布、泊松分布和正态分布。它还包括正态分布、二项分布和泊松分布的概率表。

Always check whether a question gives you a list of data or a frequency table, because the formula for the mean changes: for raw data Σx/n, but for grouped data Σfx/Σf.

始终要判断题目给出的是原始数据列表还是频率表，因为平均数的公式会变化：原始数据为 Σx/n，而分组数据为 Σ

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