📚 AQA A-level Maths Formula List | AQA A-level 数学公式表速览
This revision guide summarises the most important formulae in the AQA A-level Mathematics data and formula booklet, with practical notes on how to use them in the exam. AQA provides a clean formula list for pure mathematics, statistics and mechanics, but many expressions still need to be memorised or derived.
本复习指南总结 AQA A-level 数学公式表中最重要的公式，并附上考试使用技巧。AQA 为纯数学、统计和力学提供了一份简洁的公式表，但许多式子仍需你记忆或自行推导。
1. What the AQA Formula List Covers | AQA 公式表涵盖内容
The AQA A-level Mathematics formula booklet is split into pure mathematics, statistics and mechanics. It includes basic identities, calculus rules, series results, statistical distributions and mechanics equations.
AQA A-level 数学公式表分为纯数学、统计和力学三部分，包含基本恒等式、微积分法则、级数结果、统计分布和力学方程。
Key point: the booklet gives you the quadratic formula and trigonometric identities, but not every rearrangement. You must know how to manipulate expressions.
关键点：公式表提供了二次公式和三角恒等式，但并非所有变形都给出。你必须掌握式子的变形方法。
2. Pure Core: Quadratics and Inequalities | 核心纯数：二次方程与不等式
For any quadratic ax² + bx + c = 0, the AQA booklet gives the solutions as:
对于任意二次方程 ax² + bx + c = 0，AQA 公式表给出的解为：
x = (-b ± √(b² – 4ac)) / 2a
The discriminant D = b² – 4ac determines the number of real roots: D > 0 gives two distinct roots, D = 0 gives one repeated root, and D < 0 gives no real roots.
判别式 D = b² – 4ac 决定实根个数：D > 0 有两个不同实根，D = 0 有一个重根，D < 0 无实根。
For inequalities, solve the associated equation first, then test intervals. Remember to reverse the sign when multiplying or dividing by a negative number.
解不等式时，先解对应方程，再检验区间。当乘以或除以负数时，不等号要反向。
3. Laws of Indices and Surds | 指数
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