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Year 9 Cambridge Further Maths: Key Terms Memorisation Guide | Year 9 剑桥进阶数学:词汇术语速记指南

📚 Year 9 Cambridge Further Maths: Key Terms Memorisation Guide | Year 9 剑桥进阶数学:词汇术语速记指南

In Year 9 Cambridge Further Mathematics, building a solid foundation in mathematical vocabulary is essential. This guide provides effective memorisation techniques and clear explanations for key terms across major topics, helping you to recognise, understand, and apply them with confidence.

在 Year 9 剑桥进阶数学中,打牢数学词汇的基础至关重要。本指南针对主要专题的关键术语提供有效的速记方法和清晰的解释,帮助你辨识、理解并自信地应用它们。

1. Number Types and Sets | 数的类型与集合

A natural number is a positive counting number starting from 1 (1, 2, 3, …).

自然数是从 1 开始的正整数(1, 2, 3, …)。

An integer is any whole number that can be positive, negative, or zero, such as -2, 0, 5.

整数是包括正整数、负整数和零的整数,例如 -2, 0, 5。

A rational number can be written as a fraction a/b where a and b are integers and b ≠ 0; for example, ³/₄ and -2.5 are rational.

有理数可以写成分数 a/b 的形式,其中 a 和 b 是整数且 b ≠ 0;例如 ³/₄ 和 -2.5 是有理数。

An irrational number cannot be expressed as a simple fraction; its decimal goes on forever without repeating, like π and √2.

无理数不能表示为简单分数;小数形式无限不循环,如 π 和 √2。

Real numbers include all rational and irrational numbers, covering every point on the number line.

实数包含所有有理数和无理数,对应数轴上的每一点。

A prime number has exactly two distinct positive factors: 1 and itself, e.g. 2, 3, 5, 7.

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