📚 Vector Geometry | 向量几何
In IGCSE Edexcel Mathematics, vectors are fundamental tools for describing movement and position in two-dimensional space. Vector geometry combines algebraic vector operations with geometric reasoning, allowing you to prove facts about lines, midpoints, and ratios with precision and clarity. This article provides a complete revision guide to vector geometry for the Edexcel IGCSE syllabus.
在 IGCSE Edexcel 数学中，向量是描述平面内运动与位置的基本工具。向量几何将代数化的向量运算与几何推理相结合，使你能够精确而清晰地证明关于直线、中点与比例的性质。本文为 Edexcel IGCSE 考纲提供了完整的向量几何复习指南。
1. Introduction to Vectors | 向量简介
A vector is a quantity that has both magnitude (size) and direction. Common examples include displacement, velocity, and force. In contrast, a scalar is a quantity that has only magnitude, such as speed, mass, or temperature. Understanding this distinction is the first step in vector geometry.
向量是既有大小（模）又有方向的量。常见的例子包括位移、速度和力。相比之下，标量是只有大小的量，例如速率、质量和温度。理解这一区别是学习向量几何的第一步。
In diagrams, a vector is drawn as a directed line segment. The length of the segment represents the magnitude of the vector, and the arrowhead indicates its direction. The vector from point A to point B is written as AB (with an arrow above) or in bold as AB.
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