Algebra and Functions for CIE IGCSE Mathematics | CIE IGCSE 数学：代数与函数考点精讲

📚 Algebra and Functions for CIE IGCSE Mathematics | CIE IGCSE 数学：代数与函数考点精讲

In CIE IGCSE Mathematics, Algebra and Functions form a core part of the syllabus, testing your ability to manipulate expressions, solve equations, and understand relationships between variables. This revision guide covers the essential topics, with step-by-step explanations and key formulae.

在 CIE IGCSE 数学中，代数与函数是教学大纲的核心部分，考查你处理表达式、解方程以及理解变量之间关系的能力。本复习指南涵盖了基本知识点，并提供了逐步解释和关键公式。

1. Simplifying Algebraic Expressions | 代数表达式的化简

Algebraic expressions are built from terms involving variables (like x, y) and constants. Simplification involves collecting like terms and applying the laws of indices.

代数表达式由包含变量（如 x, y）和常数的项构成。化简包括合并同类项及应用指数法则。

For example, 3x + 2y – x + 5y simplifies to 2x + 7y. When multiplying powers, we add the indices: x² × x³ = x⁵. When dividing, subtract the indices: x⁵ ÷ x² = x³. Remember that any non-zero number to the power 0 equals 1: a⁰ = 1, a ≠ 0.

例如，3x + 2y – x + 5y 化简为 2x + 7y。幂相乘时指数相加：x² × x³ = x⁵。相除时指数相减：x⁵ ÷ x² = x³。

Published by TutorHao | GCSE Mathematics Revision Series | aleveler.com

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