KS3 Cambridge Chinese: Quick Reference Handbook of Formulas and Theorems | KS3 剑桥中文：公式定理速查手册

📚 KS3 Cambridge Chinese: Quick Reference Handbook of Formulas and Theorems | KS3 剑桥中文：公式定理速查手册

Welcome to your essential revision companion for KS3 Cambridge Chinese. This handbook presents key language rules as clear formulas and theorems, helping you master pinyin, characters, grammar and sentence patterns quickly and with confidence. Each section pairs a concise English explanation with its Chinese equivalent, so you can revise effectively whether you are an English speaker learning Chinese or a Chinese speaker consolidating your grammar knowledge.

欢迎使用 KS3 剑桥中文核心速查手册。本手册将关键语言规则整理成清晰的公式和定理，帮助你快速、自信地掌握拼音、汉字、语法和句型。每一节都将简洁的英文解释与对应的中文内容并列呈现，无论你是以英语学习中文，还是中文母语者巩固语法知识，都能高效复习。

1. Pinyin Spelling Formula | 拼音拼写公式

The standard syllable structure in Mandarin is: Initial (声母) + Final (韵母) + Tone (声调). The tone mark is placed on the main vowel following the order a, o, e, i, u, ü. When a syllable begins with i, u or ü, replace the i with y, the u with w, or add y before ü and remove the umlaut; when ü follows j, q, x, the umlaut is dropped. Example: initial zh + final ong + tone 1 → zhōng (中).

普通话的标准音节结构是：声母 + 韵母 + 声调。声调标记按照 a、o、e、i、u、ü 的顺序标在主要元音上。以 i、u、ü 开头的音节，i 改为 y，u 改为 w，或在 ü 前加 y 并去掉两点；ü 跟在 j、q、x 后时省去两点。例如：声母 zh + 韵母 ong + 第一声 → zhōng (中)。

Tone Number	Tone Mark	Example
1st (high level)	ˉ	mā (妈)
2nd (rising)	ˊ	má (麻)
3rd (dipping)	ˇ	mǎ (马)
4th (falling)	ˋ	mà (骂)

The formula can be summarised as: Syllable = (C)V + T, where C is an optional consonant initial, V is a vowel or diphthong final, and T is the tone. Use this formula to decode any pinyin syllable you encounter.

该公式可总结为：音节 = (辅音)元音 + 声调，其中 C 为可选辅音声母，V 为元音或双元音韵母，T 为声调。运用此公式可以解码你遇到的任何拼音音节。

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2. Stroke Order Theorem | 笔画顺序定理

Every Chinese character follows a specific stroke order. The fundamental rule is: Top to bottom, left to right. When a character is enclosed, complete the enclosure after the inside content, with a few exceptions. The sequence can be expressed as: Stroke Order = (Horizontal → Vertical) before (Left-falling → Right-falling), inner part before bottom enclosure.

每个汉字都遵循特定的笔顺。基本规则是：先上后下，先左后右。包围结构先写内部再封口，少数例外。书写顺序可表示为：先横后竖，先撇后捺，先内后封底。

• Example 1 (十): ① horizontal (一), ② vertical (丨).
• Example 2 (人): ① left-falling (丿), ② right-falling (乀).
• Example 3 (国): ① outer enclosure (丨𠃐), ② inner part (玉), ③ bottom closing line (一).

• 例1 (十)： ① 横 (一)，② 竖 (丨)。
• 例2 (人)： ① 撇 (丿)，② 捺 (乀)。
• 例3 (国)： ① 外框 (丨𠃐)，② 内部 (玉)，③ 底横 (一)。

Applying this theorem consistently will improve handwriting accuracy and help you use Chinese dictionaries organised by stroke count.

持续运用这一定理可以提高书写准确性，并帮助你使用按笔画数编排的汉语字典。

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3. Radical Meaning Formula | 部首意义公式

About 90% of Chinese characters are phono-semantic compounds. The semantic radical often hints at meaning. The formula: Character ≈ Radical (Meaning Clue) + Phonetic Component (Sound Clue). Recognising radicals accelerates vocabulary learning.

大约 90% 的汉字是形声字。表义偏旁往往提示字义类别。公式为：汉字 ≈ 部首 (义符) + 声旁 (音符)。识别部首能加速词汇学习。

Radical	Meaning Category	Examples
氵 (三点水)	water, liquid	河 (river), 海 (sea), 酒 (alcohol)
木 (木字旁)	tree, wood	林 (forest), 桌 (table), 根 (root)
口 (口字旁)	mouth, speech, openings	吃 (eat), 叫 (call), 呢 (particle)
忄 (竖心旁)	heart, emotions	快 (quick/pleased), 怕 (fear), 情 (feeling)

When you encounter an unfamiliar character, try splitting it into radical and phonetic part — this formula-based deduction works very well at KS3 level.

遇到生字时，尝试将其拆分为部首和声旁——这种基于公式的推导在 KS3 阶段非常有效。

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4. Basic Sentence Structure Formula | 基本句子结构公式

The canonical Chinese sentence follows: S + (Adverbial) + V + O. Unlike English, time and place adverbials usually appear before the verb. This fixed word order is a cornerstone of Chinese syntax.

汉语的基本句式为：主语 + (状语) + 动词 + 宾语。与英语不同，时间、地点状语通常出现在动词之前。这一固定语序是汉语句法的基石。

S + Time + Place + V + O

主语 + 时间 + 地点 + 动词 + 宾语

Example: 我 (S) 明天 (Time) 在学校 (Place) 学 (V) 中文 (O). This translates to ‘I will study Chinese at school tomorrow.’ Notice how time and place precede the verb.

例句：我 (主语) 明天 (时间) 在学校 (地点) 学 (动词) 中文 (宾语)。注意时间与地点均位于动词之前。

Negation is formed by placing 不 or 没 directly before the verb, and yes-no questions can be created with 吗 at the end or by using the V-not-V pattern — both extensions of this base formula.

否定句将“不”或“没”直接放在动词前构成，是非问句则可在句末加“吗”或使用正反问形式——两者都是这一基础公式的延伸。

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5. Aspect Markers as Operators | 体标记运算符 (了、着、过)

Chinese uses aspect markers to express how an action relates to time, without changing the verb form. Think of them as operators: V + 了 (completion), V + 着 (continuation), V + 过 (experience). They attach immediately after the verb.

汉语使用体标记表达动作与时间的关系，而动词形式不变。可将它们视为运算符：V + 了 (完成)，V + 着 (持续)，V + 过 (经历)。它们紧跟动词之后。

• 我吃了一个苹果。 (I ate an apple — action completed.)
• 他站着看书。 (He is reading while standing — continuing state.)
• 我去过北京。 (I have been to Beijing — past experience.)

• 我吃了一个苹果。(动作完成)
• 他站着看书。(状态持续)
• 我去过北京。(过往经历)

The theorem: 了 is not a past tense marker; it marks bounded events. 着 signals a static ongoing posture or parallel action. 过 signals an experience that happened at least once. Mastering this operator logic prevents tense-related errors.

定理：了不是过去时标记，它标记有边界的事件；着表示静态的持续或伴随动作；过表示至少发生一次的经历。掌握这一运算符逻辑可避免时态相关错误。

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6. Comparative Sentence Formula (比) | 比较句公式 (比)

To compare two things in Chinese, use the 比 construction: A + 比 + B + Adj. The adjective itself does not change; degree modifiers like 很 or 非常 are not used directly with the adjective in this pattern. Add 一点儿, 得多 or 多了 after the adjective to indicate the degree of difference.

比较两个事物时使用“比”字构式：A + 比 + B + 形容词。形容词本身不变化；在此结构中形容词前不可直接加“很”或“非常”。在形容词后加“一点儿”、“得多”或“多了”表示差异程度。

A 比 B Adj + (一点儿 / 得多 / 多了)

Examples: 哥哥比我高。 (Older brother is taller than me.) 今天比昨天热得多。 (Today is much hotter than yesterday.) The formula remains unchanged for negation: A 没有 B Adj.

例句：哥哥比我高。 今天比昨天热得多。否定式保持同样结构：A 没有 B + 形容词。

Remember, 比 cannot be used with adjectives that already imply comparison like 一样 (same). For equality, use A 跟 B 一样 Adj.

请记住，比不可与本身含比较义的形容词如“一样”连用。表示同等程度时用“A 跟 B 一样 Adj”。

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7. 把-construction Theorem | “把”字句定理

The 把-sentence highlights how an object is disposed of or affected. Its formula: S + 把 + O + V + Complement / 了. The object must be definite, and the verb must be transitive and accompanied by a result, direction or other complement.

“把”字句强调宾语如何被处置或影响。其公式为：主语 + 把 + 宾语 + 动词 + 补语/了。宾语必须是有定的，动词必须是及物的，并带有结果、趋向或其他补语。

• 我把作业写完了。 (I finished the homework.)
• 请把窗户打开。 (Please open the window.)
• 地把书放在桌子上。 (He put the book on the table.)

• 我把作业写完了。
• 请把窗户打开。
• 地把书放在桌子上。

This theorem dictates that a bare verb cannot follow 把; you need a complement like 完, 在, 给 or a directional phrase. Understanding this prevents the most common KS3 writing error.

定理要求“把”后不能是光杆动词；必须带有“完”、“在”、“给”或趋向短语等补语。理解这一点可防止 KS3 写作中最常见的错误。

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8. 被-construction Passive Formula | “被”字句被动公式

The passive voice is created by: Receiver + 被 (+ Agent) + V + Complement. 被 marks the receiver of an action, and the agent can be omitted if unknown. This formula is especially common in formal or negative-event contexts.

被动语态由以下公式构成：受事 + 被 ( + 施事) + 动词 + 补语。“被”标记动作的承受者；施事如果不明可以省略。该公式在正式场合或消极事件中尤为常见。

Example: 我的自行车被偷了。 (My bike was stolen.) 那本书被他借走了。 (That book was borrowed by him.) Note that 被 requires a resultative complement (了, 走, 完, etc.) just like 把.

例句：我的自行车被偷了。那本书被他借走了。注意“被”字句同样要求结果补语（了、走、完等），与“把”字句类似。

In spoken Chinese, 让 or 叫 can sometimes replace 被, but the core formula stays the same. Use this passive theorem when the focus is on the affected object.

在口语中，“让”或“叫”有时可替换“被”，但核心公式不变。当重点在受影响的物体时使用此被动定理。

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9. Serial Verb Construction Formula | 连动结构公式

Chinese often strings two or more verbs together without conjunctions to express purpose, sequence or manner. The formula is: S + VP₁ + VP₂ (+ VP₃ …). The verbs share the same subject, and the order reflects temporal or logical sequence.

汉语常将两个或多个动词连用，无需连词，以表达目的、先后顺序或方式。公式为：主语 + 动词短语₁ + 动词短语₂ (+ 动词短语₃ …)。动词共享同一主语，顺序反映时间或逻辑先后。

• Purpose: 我去图书馆借书。 (I go to the library to borrow books.) VP₁ = go to library, VP₂ = borrow books.
• Sequence: 他回家吃了饭就睡觉了。 (He went home, ate and then slept.)
• Manner: 我坐飞机去上海。 (I go to Shanghai by plane.)

• 目的：我去图书馆借书。
• 顺序：他回家吃了饭就睡觉了。
• 方式：我坐飞机去上海。

This theorem reinforces that Chinese prefers verb chains over infinitives or participles. At KS3, mastering two-verb series is essential for natural expression.

此定理说明汉语偏好动词链而非不定式或分词。KS3 阶段掌握两个动词的连用对自然表达至关重要。

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10. Attributive and Adverbial Placement Rules | 定语与状语位置规则

Modifiers in Chinese are placed to the left of what they modify. The formula is: Attributive + 的 + Noun; Adverbial + 地 + Verb. These structural particles act as connectors and can be omitted in simple cases.

汉语的修饰语位于被修饰语左侧。公式为：定语 + 的 + 名词；状语 + 地 + 动词。这些结构助词起连接作用，简单情况下可省略。

• 定语：很大的房子 (a very big house), 我买的书 (the book that I bought).
• 状语：慢慢地走 (walk slowly), 高兴地唱歌 (sing happily).

• 定语：很大的房子，我买的书。
• 状语：慢慢地走，高兴地唱歌。

Remember that Chinese attributives, including full clauses, always precede the noun — a major difference from English relative clauses. Adverbials usually precede the verb unless they express duration or frequency, which can follow.

记住汉语的定语，包括完整从句，总是位于名词之前——这与英语关系从句有显著不同。状语通常位于动词之前，但表示持续时间或频率的状语可位于动词之后。

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11. Question Formation Formula | 疑问句构成公式

Forming questions in Chinese does not require changing word order. The three main formulas are: Statement + 吗？; V + 不/没 + V?; and Question-word question (Q-word replaces the unknown element, keeping S-V-O order).

构成中文疑问句无需改变语序。三大主要公式为：陈述句 + 吗？；V + 不/没 + V？；以及疑问代词问句 (疑问词替换未知部分，保持主谓宾语序)。

Type	Formula	Example
Yes/no with 吗	S V O 吗？	你是学生吗？
V-not-V	S V-not-V O？	你去不去？
Q-word	Q-word + rest in SVO	谁来了？什么名字？

The theorem: never use 吗 together with a question word. Also, the particle 呢 can be used for reciprocal questions (我很好，你呢？). This fixed-formula approach makes Chinese question formation highly predictable.

定理：吗永远不与疑问词共现。此外，语气词“呢”可用于反问 (我很好，你呢？)。这种固定公式化的方法使汉语疑问句构成高度可预测。

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12. Measure Word Agreement Theorem | 量词搭配定理

Whenever a numeral or a demonstrative modifies a noun, a measure word (classifier) must appear between them. The formula: Num/Dem + Measure Word + Noun. The choice of measure word depends on the noun’s shape, category or convention.

凡是数词或指示代词修饰名词，中间必须加量词。公式为：数词/指示代词 + 量词 + 名词。量词的选择取决于名词的形状、类别或习惯搭配。

• 一本书 (one book) — 本 for bound volumes.
• 三只猫 (three cats) — 只 for animals.
• 这张桌子 (this table) — 张 for flat objects.
• 五杯水 (five cups of water) — 杯 for containers.

• 一本书 — 本用于装订成册的物体。
• 三只猫 — 只用于动物。
• 这张桌子 — 张用于平面物体。
• 五杯水 — 杯用于容器。

The universal measure word 个 can be used with many common nouns in informal speech, but for KS3 written accuracy, memorise the specific pairings. Measure words also occur with 哪 (which) and 几 (how many). This theorem is non-negotiable in standard Chinese.

通用量词“个”在口语中可与许多普通名词连用，但为 KS3 写作准确起见，需记忆特定搭配。量词还与“哪”和“几”同时出现。这条定理在标准汉语中不可忽视。

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