Edexcel A-Level Maths: Core Revision from PDF Joiner (4)-082 | Edexcel A-Level数学：PDF合并(4)-082核心复习

📚 Edexcel A-Level Maths: Core Revision from PDF Joiner (4)-082 | Edexcel A-Level数学：PDF合并(4)-082核心复习

Welcome to this Edexcel A-Level Mathematics revision guide, drawing on common questions from PDF Joiner (4)-082. The focus is on core pure mathematics topics that frequently appear in exam papers.

欢迎阅读本 Edexcel A-Level 数学复习指南，内容源自 PDF 合并(4)-082 中的常见题型。我们重点回顾考试中频繁出现的核心纯数学主题。

1. Algebraic Manipulation and Indices | 代数运算与指数

The first step in many A-Level questions is simplifying algebraic expressions. You must be confident with the laws of indices, expanding brackets and factorising. Common errors include misapplying the rule for negative indices and forgetting that a⁰ = 1 for any non-zero a.

许多 A-Level 题目的第一步是化简代数表达式。你必须熟练掌握指数法则、去括号和因式分解。常见错误包括错误应用负指数法则，以及忘记任何非零 a 的 a⁰ = 1。

aᵐ × aⁿ = aᵐ⁺ⁿ | aᵐ ÷ aⁿ = aᵐ⁻ⁿ | (aᵐ)ⁿ = aᵐⁿ | a⁻ⁿ = 1/aⁿ | a⁰ = 1

When simplifying, always write the answer with positive indices unless otherwise stated. For example, 2x⁻³ should be written as 2/x³. Also rationalise denominators when surds appear, such as 1/√2 = √2/2.

化简时，除非另有说明，答案应使用正指数。例如 2x⁻³ 应写作 2/x³。出现根式时还需有理化分母，如 1/√2 = √2/2。

2. Quadratics and Inequalities | 二次函数与不等式

A quadratic equation ax² + bx + c = 0 can be solved by factorisation when the roots are rational, by completing the square when you need the vertex form, or by the quadratic formula in general. The discriminant Δ = b² – 4ac tells you whether there are two real roots (Δ > 0), one repeated root (Δ = 0) or no real roots (Δ < 0).

二次方程 ax² + bx + c = 0 的求解方法有：当根为有理数时用因式分解，需要顶点式时用配方法，一般情况下使用求根公式。判别式 Δ = b² – 4ac 可判断根的情况：Δ

Published by TutorHao | A-Level Mathematics Revision Series | aleveler.com

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