📚 Year 13 CAIE English: Formulae and Theorems Quick Reference Handbook | Year 13 CAIE 英语：公式定理速查手册
Whether you are sitting Paper 1 (Reading), Paper 2 (Writing), or the coursework component of CAIE A-Level English Language (9093), a solid command of linguistic and literary theory will transform your analysis. This handbook organises the essential 'formulae' and 'theorems' of English studies – from language levels to pragmatic maxims – into a portable revision tool. Use the tables and mnemonics to recall key concepts quickly, and let the paired English-Chinese explanations deepen your understanding for high-band answers.
无论你参加的是 CAIE A-Level 英语语言 (9093) 的试卷一（阅读）、试卷二（写作），还是课程作业，扎实的语言学与文学理论功底都能让你的分析脱胎换骨。本手册将英语学科必备的“公式”与“定理”——从语言层次到语用准则——整合为一本便携式复习工具。利用表格和记忆术快速唤醒核心概念，并通过中英对照的解读，帮助你向高分答案冲刺。
1. Language Levels Framework | 语言分析层次框架
Every text can be approached through six interacting language levels. Memorising these levels ensures no analytical dimension is overlooked in your responses.
任何一个文本都可以从六个相互作用的语言层次切入。牢记这些层次能确保你在答题时不遗漏任何分析维度。
| Level | 层次 | Core Questions | 核心问题 |
|---|---|
| Phonology | 音系 | What sounds, rhyme, rhythm, and intonation patterns are used? | 使用哪些音、韵、节奏和语调模式？ |
| Graphology | 书写 | How does layout, font, image, and visual design contribute? | 排版、字体、图像与视觉设计如何作用？ |
| Lexis | 词汇 | What types of words (formal, informal, jargon, neologisms) are chosen? | 选用了何种词汇（正式、非正式、行话、新造词）？ |
| Semantics | 语义 | What meanings (denotation, connotation, metaphor) are conveyed? | 传达了哪些意义（外延、内涵、隐喻）？ |
| Grammar | 语法 | What sentence structures, clause types, and word order are employed? | 运用了哪些句子结构、分句类型和词序？ |
| Discourse | 话语 | How do cohesion, coherence, genre conventions, and turn-taking shape the text? | 衔接、连贯、体裁惯例和话轮转换如何建构文本？ |
Use the mnemonic 'Please Give Lexical Semantics Grammar Discourse' to recall the order phonology → graphology → lexis → semantics → grammar → discourse.
用口诀“Please Give Lexical Semantics Grammar Discourse”记住顺序：音系→书写→词汇→语义→语法→话语。
2. Key Literary Devices and Figures of Speech | 主要文学手法与修辞格
For Paper 1 unseen texts and directed writing, recognise these devices instantly and label their effects using precise terminology.
在试卷一的陌生文本与分析性写作中，要能瞬间识别这些手法，并用精确术语标注其效果。
- Simile | 明喻 – Direct comparison using 'like' or 'as'. | 用“像”“如同”进行的直接比较。
- Metaphor | 暗喻 – Implied comparison stating one thing is another. | 将一物直接说成另一物的隐含比较。
- Personification | 拟人 – Attributing human qualities to inanimate objects or abstractions. | 赋予无生命物或抽象概念以人的特性。
- Hyperbole | 夸张 – Deliberate exaggeration for emphasis. | 为强调而故意夸大。
- Litotes | 曲言法 – Understatement using double negatives or a negative to affirm a positive. | 用双重否定或否定来肯定正面的轻描淡写。
- Oxymoron | 矛盾修辞 – Juxtaposing contradictory terms ('living death'). | 并列相互矛盾的词语（如“活死人”）。
- Anaphora | 首语重复 – Repetition of a word or phrase at the beginning of successive clauses for rhetorical effect. | 在连续分句开头重复一个词或短语，以产生修辞效果。
- Epiphora | 尾语重复 – Repetition at the end of successive clauses. | 在连续分句末尾重复。
- Chiasmus | 交错配列 – A pattern where the order of terms in the first clause is reversed in the second ('Ask not what your country can do for you – ask what you can do for your country.'). | 第一分句的词语顺序在第二分句中颠倒的句型。
- Irony | 反讽 – Saying the opposite of what is meant, or a situation that contradicts expectations. | 说与本意相反的话，或情景与预期矛盾。
Remember: Always explain the effect of the device within the specific context, not just name it.
切记：务必结合具体语境解释手法的效果，而非仅仅说出名称。
3. Grice's Maxims and Conversational Implicature | 格莱斯准则与会话隐含
Grice's Cooperative Principle (1975) states that speakers assume a mutual effort in conversation. Four maxims govern this cooperation; when a maxim is flouted, implicature arises.
格莱斯（1975）的合作原则认为，说话者默认会话中存在共同努力。四条准则制约着这种合作；当准则被故意违反时，便产生会话隐含。
| Maxim | 准则 | Definition | 定义 | Example of Flouting | 违反示例 |
|---|---|---|
| Quantity | 数量 | Give as much information as is needed; no more, no less. | 提供所需信息量，不多不少。 | Parent: 'Did you finish your homework?' Child: 'I finished my maths.' (Not mentioning English implies it is not finished.) | 家长：“作业做完了吗？”孩子：“数学做完了。”（不提英语暗示未完成。） |
| Quality | 质量 | Say what you believe to be true; do not say that for which you lack evidence. | 说真实的话；勿说无根据之词。 | Sarcasm: 'That was a brilliant idea!' after a clearly disastrous plan. | 讽刺：在明显失败的计划之后说“那真是个绝妙的主意！” |
| Relation | 关系 | Be relevant. | 说话要有关联。 | A: 'Shall we go out?' B: 'It's raining.' (The relevance implies that the rain is a reason against going out.) | A：“我们出去好吗？”B：“正在下雨。”（关联性暗示下雨是不出去的理由。） |
| Manner | 方式 | Be clear, brief, and orderly; avoid ambiguity. | 清晰、简要、有序；避免歧义。 | Using overly complex jargon to a child, implying the adult is showing off or deliberately excluding. | 对儿童使用过于复杂的术语，暗示成人在炫耀或故意排斥。 |
In transactional writing or speech analysis, comment on which maxim is flouted and what implicature is generated.
在事务性写作或演讲分析中，要评论哪条准则被违反以及产生了何种隐含意义。
4. Narrative Theories and Structures | 叙事理论与结构
Whether analysing prose fiction or writing a narrative yourself, these models help you dissect and construct plot and perspective.
无论是分析小说还是自己创作叙事，这些模型都能帮助你解析和构建情节与视角。
- Todorov's Equilibrium Model | 托多罗夫平衡模型 – e structure: equilibrium → disruption → recognition → attempt to repair → new equilibrium. | 五阶段结构：平衡→破坏→察觉→修复尝试→新平衡。
- Propp's Character Functions | 普罗普角色功能 – Seven recurring character types in folk tales: hero, villain, donor, helper, princess, dispatcher, false hero. Adaptable for modern narratives. | 民间故事中七类反复出现的角色：英雄、反派、赠与者、帮手、公主、派遣者、假英雄。可迁移到现代叙事。
- Labov's Narrative Structure | 拉波夫叙事结构 – A model for spoken narratives: abstract, orientation, complicating action, evaluation, resolution, coda. | 口语叙事模型：点题、指向、进展、评议、结局、回应。
- Focalisation (Genette) | 聚焦（热奈特） – Distinguish between who speaks (narrator) and who sees (focaliser). Zero focalisation (omniscient), internal focalisation (character's perspective), external focalisation (camera-eye). | 区分谁说（叙述者）和谁看（聚焦者）。零聚焦（全知）、内聚焦（人物视角）、外聚焦（摄像机视角）。
- Freytag's Pyramid | 弗雷塔格金字塔 – Five-act dramatic structure: exposition, rising action, climax, falling action, denouement. | 五幕戏剧结构：开端、上升、高潮、下降、结局。
When answering questions on narrative, name the structural model and show how the text either follows or subverts it.
回答叙事类问题时，要说出结构模型的名称，并展示文本是遵循还是颠覆了该模型。
5. Rhetorical Appeals and Modes of Persuasion | 修辞诉诸与说服模式
Aristotle's rhetorical triangle is foundational for analysing persuasive language in speeches, advertising, and opinion articles.
亚里士多德的修辞三角是分析演讲、广告和评论文章说服性语言的基础。
| Appeal | 诉诸 | Definition | 定义 | Modern Instantiation | 现代体现 |
|---|---|---|
| Ethos | 人格诉诸 | Persuasion through the credibility and character of the speaker. | 通过说话者的信誉与品格进行说服。 | Expert endorsement, 'As a doctor, I recommend...' | 专家背书，“作为医生，我推荐……” |
| Pathos | 情感诉诸 | Persuasion through emotional connection, often using vivid language and imagery. | 通过情感共鸣进行说服，常使用生动语言和意象。 | Charity appeals showing suffering children with emotive music. | 慈善呼吁中展示受苦儿童并配以动情音乐。 |
| Logos | 逻辑诉诸 | Persuasion through logic, reason, statistics, and factual evidence. | 通过逻辑、理性、统计和事实依据进行说服。 | '9 out of 10 dentists agree...' | “10位牙医中有9位认同……” |
| Kairos | 时机诉诸 | Seizing the opportune moment and adapting the message to the immediate context. | 抓住恰当时机，使信息适应当下语境。 | A climate change speech delivered right after a natural disaster. | 自然灾害后立即发表的气候变化演讲。 |
For high marks, analyse how these appeals are balanced or manipulated, and how they interact with specific linguistic choices.
要获高分，需分析这些诉诸如何被平衡或操纵，以及它们与具体语言选择的互动。
6. Stylistic Analysis Tools: Register, Tone, Mood | 文体分析工具：语域、语气、情态
Style is the sum of all linguistic choices. Three core concepts sharpen your stylistic commentary.
文体是所有语言选择的总和。三个核心概念能让你的文体评论更加犀利。
- Register | 语域 – Determined by field (topic), tenor (relationship between participants), and mode (written or spoken channel). Use Halliday's triad: Field, Tenor, Mode. | 由语场（话题）、语旨（参与者关系）和语式（书面或口头渠道）决定。使用韩礼德的三元组：语场、语旨、语式。
- Tone | 语气 – The writer's attitude towards the subject and audience (e.g., ironic, nostalgic, didactic, satirical, conversational). Always support tone labels with evidence. | 作者对主题和读者的态度（如讽刺、怀旧、说教、戏谑、谈话式）。语气标签一定要有文本证据支撑。
- Mood | 情态 – Grammatically, mood refers to declarative, interrogative, imperative, and exclamative sentence types. The interplay of moods can reveal power dynamics and speaker stance. | 从语法上看，情态指陈述、疑问、祈使和感叹句类型。不同情态的切换能揭示权力关系和说话者立场。
+ Tenor + Mode; then discuss how lexical and grammatical choices construct that register.
采用公式：语域 = 语场 + 语旨 + 语式；然后讨论词汇和语法选择如何建构该语域。
7. Pragmatic Theories: Speech Acts and Politeness | 语用理论：言语行为与礼貌原则
Language performs actions. Speech Act Theory and Politeness Theory explain how we 'do things with words' and negotiate social relations.
语言能行事。言语行为理论和礼貌理论解释了我们如何“以言行事”并协调社会关系。
- Austin's Speech Acts | 奥斯汀言语行为 – Every utterance can be analysed as a locutionary act (the actual words), an illocutionary act (the intended function, e.g., requesting, promising, threatening), and a perlocutionary act (the effect on the hearer). | 每个话语都可分析为言内行为（实际的话）、言外行为（意图功能，如请求、承诺、威胁）和言后行为（对听话者的效果）。
- Searle's Speech Act Categories | 塞尔言语行为分类 – Representatives (asserting), directives (requesting), commissives (promising), expressives (apologising), declarations (pronouncing). Identify these in transcripts and examine how they control the conversation. | 断言类（陈述）、指令类（请求）、承诺类（承诺）、表情类（道歉）、宣告类（宣布）。在转写文本中识别它们，并考察其如何操控对话。
- Politeness Principle (Leech) | 礼貌原则（利奇） – Includes the Tact Maxim (minimise cost to other), Generosity Maxim (minimise benefit to self), Approbation Maxim (maximise praise of other), Modesty Maxim (maximise dispraise of self), Agreement Maxim, and Sympathy Maxim. | 包括得体准则（尽量减少对他人的损失）、慷慨准则（尽量减少利己）、赞誉准则（尽量赞扬他人）、谦虚准则（尽量批评自己）、一致准则和同情准则。
- Brown & Levinson's Face Theory | 布朗与莱文森的面子理论 – Positive face (desire to be liked) and negative face (desire for autonomy). We use politeness strategies (bald on-record, positive politeness, negative politeness, off-record) to mitigate face-threatening acts. | 积极面子（渴望被喜欢）和消极面子（渴望自主）。我们运用礼貌策略（直接公开、积极礼貌、消极礼貌、间接）来缓和对面子有威胁的行为。
When analysing dialogue, map these pragmatic layers onto characters' speech to reveal underlying tensions and social positions.
分析对话时，将这些语用层次映射到人物言语上，揭示潜在的张力和社会地位。
8. Lexis and Semantics: Denotation, Connotation, Semantic Fields | 词汇与语义：外延、内涵、语义场
Vocabulary choice is never random. Systematic analysis of lexis and semantics reveals ideology, attitude, and representation.
词汇选择从来不是随机的。对词汇与语义的系统分析能揭示意识形态、态度和表征。
- Denotation (literal meaning) vs Connotation (associated meanings) | 外延（字面义）与内涵（联想义） – A word like 'home' denotes a place of residence, but connotes comfort, family, and security. Trace how writers exploit connotations to evoke emotions. | “家”的外延是居住地，但内涵包括舒适、家庭和安全感。追溯作者如何利用内涵唤起情感。
- Semantic Field | 语义场 – A set of words linked by a common topic (e.g., war: 'battle', 'trench', 'ammunition', 'casualty'). The density of a semantic field within a text foregrounds themes. | 由共同主题关联的一组词（如战争：“战斗”“战壕”“弹药”“伤亡”）。文本中语义场的密度能突显主题。
- Collocation | 搭配 – Words that habitually appear together ('heavy rain', not 'strong rain'). Unexpected collocations (deviation) create striking imagery and defamiliarisation. | 习惯性一起出现的词（如“大雨”，不说“强雨”）。非常规搭配（偏离）能创造鲜明意象和陌生化效果。
- Hyponymy and Hypernymy | 上下义关系 – Hypernyms are general categories ('vehicle'); hyponyms are specific instances ('car', 'bus'). Choosing a hypernym can abstract or generalise, while a hyponym adds precision. | 上义词是一般范畴（“交通工具”）；下义词是具体实例（“汽车”“公交车”）。选择上义词可抽象化或泛化，下义词则增加精确性。
- Euphemism and Dysphemism | 委婉与粗俗语 – Euphemisms soften harsh realities ('downsizing' for job cuts); dysphemisms intensify negativity ('murder' for euthanasia). These manipulations index the writer's stance. | 委婉语软化严酷现实（裁员说成“精简”）；粗俗语加剧负面色彩（安乐死说成“谋杀”）。这些手法折射出作者立场。
Use a lexico-semantic grid: select five key words from the text, list their denotations, connotations, and semantic field membership, then synthesise the pattern.
使用词汇-语义网格：从文本中选取五个关键词，列出其外延、内涵和所属语义场，然后综合模式。
9. Grammar and Syntax: Sentence Types and Functions | 语法与句法：句子类型与功能
Grammar is not just about 'correctness'; it is a resource for making meaning. Master these grammatical 'formulae' to analyse sentence-level craft.
语法不仅关乎“正确与否”，更是制造意义的资源。掌握这些语法“公式”来分析句子层面的匠意。
- Sentence Types by Structure | 按结构分类的句子类型 – Simple (one clause), compound (two or more coordinated clauses), complex (main clause with subordinator(s)), compound-complex. Variation in sentence type controls pace and complexity. | 简单句（一个分句）、并列句（两个或以上并列分句）、复合句（主句加从属分句）、并列复合句。句型的变换控制节奏和复杂度。
- Sentence Types by Function | 按功能分类的句子类型 – Declarative (statement), Interrogative (question), Imperative (command), Exclamative (exclamation). These map onto Searle's speech acts but are grammatical forms. | 陈述句、疑问句、祈使句、感叹句。它们对应塞尔言语行为类别，但属语法形式。
- Active vs Passive Voice | 主动语态与被动语态 – The passive voice de-emphasises the agent ('Mistakes were made'), which can obscure responsibility or create an objective tone. Calculate the ratio of active to passive to discuss distancing. | 被动语态淡化施事者（“错误被犯了”），可模糊责任或营造客观语气。计算主动与被动比例以讨论疏离效果。
- Modality | 情态动词 – Modal auxiliary verbs (can, could, may, might, must, shall, should, will, would) express degrees of certainty, obligation, and permission. High-modality ('must') conveys authority; low-modality ('might') conveys tentativeness. | 情态助动词表达不同程度的确定性、义务和许可。高情态（“必须”）传递权威；低情态（“可能”）传递迟疑。
- Coordination and Subordination | 并列与从属 – Coordination creates balance and equality; subordination establishes hierarchy (some ideas are foregrounded, others backgrounded). Analyse clause architecture for power relations in discourse. | 并列创造平衡与平等；从属建立等级（一些想法前景化，另一些背景化）。分析分句架构可揭示话语中的权力关系。
For directed writing, deliberately vary your sentence structures to demonstrate control and sophistication.
在定向写作中，有意识地变换句子结构，展现掌控力和丰富性。
10. Phonology and Phonetics: Sound Patterning Effects | 音系学与语音学：声音模式效果
Sound matters in all language, not just poetry. Phonological features shape rhythm, memorability, and emotional impact in speeches, advertising, and prose.
声音在所有语言中都很重要，不仅限于诗歌。在演讲、广告和散文中，音系特征塑造节奏、记忆点和情感冲击。
- Alliteration and Assonance | 头韵与腹韵 – Alliteration: repetition of consonant sounds at word beginnings ('sly, slinking snake'). Assonance: repetition of vowel sounds inside words ('the rain in Spain falls mainly on the plain'). Both create cohesion and musicality. | 头韵：单词开头辅音的重复。腹韵：单词内部元音的重复。两者均创造衔接感和音乐性。
- Sibilance | 咝音 – Repetition of /s/ and /sh/ sounds. Can evoke a sinister, whispering, or soothing atmosphere depending on context. | /s/和/ʃ/音的重复。根据语境可唤起阴森、窃窃私语或抚慰的氛围。
- Plosive Sounds | 爆破音 – /p/, /b/, /t/, /d/, /k/, /g/ create abrupt, explosive effects, often conveying aggression or urgency. | /p/, /b/, /t/, /d/, /k/, /g/ 产生短促、爆发性的效果，常传达攻击性或急迫感。
- Rhyme and Rhythm | 押韵与节奏 – End-rhyme, internal rhyme, and half-rhyme structure text and add emphasis. Metre (iambic pentameter, trochaic, etc.) organises stress patterns, often with rhetorical intent. | 尾韵、腰韵和半谐韵构建文本并增强强调。格律（如抑扬格五音步）组织重音模式，常带有修辞意图。
- Onomatopoeia | 拟声 – Words that phonetically imitate the sound they denote ('buzz', 'hiss', 'clang'). In advertising, onomatopoeia enhances sensory appeal. | 语音上模仿所指声音的词（“嗡嗡”“嘶嘶”“哐当”）。在广告中，拟声词增强感官吸引力。
Link phonological features to meaning: 'The plosive /b/ in 'battle' reinforces the sense of conflict and abrupt force.'
将声音特征与意义挂钩：“‘battle’中爆破音/b/强化了冲突感和突然的冲击力。”
11. Discourse Analysis: Cohesion and Coherence | 话语分析：衔接与连贯
Discourse looks at how sentences knit together into a unified whole. Cohesion is the glue of the text; coherence is the psychological unity felt by the reader.
话语关注句子如何编织成一个统一整体。衔接是文本的粘合剂；连贯是读者感受到的心理统一性。
- Grammatical Cohesion | 语法衔接 – Reference (anaphoric 'the man... he', cataphoric 'This is what happened...'), substitution ('I like this one. Give me another.'), ellipsis ('Have you seen? – Yes, I have [seen].'), conjunction (additive, adversative, causal, temporal). | 指称（前指“一个男人……他”，后指“事情是这样的……”）、替代（“我喜欢这个。给我另一个。”）、省略（“你见过了吗？——见过了。”）、连接（添加、转折、因果、时间）。
- Lexical Cohesion | 词汇衔接 – Repetition, synonymy, antonymy, hyponymy, and collocation weave a net of meaning. Track these patterns to see how the thematic argument develops. | 重复、同义、反义、上下义和搭配共同织成意义之网。追踪这些模式以观察主题论点如何展开。
- Coherence | 连贯 – Derived from topic consistency, logical progression, and shared world knowledge. A text can be cohesive but not coherent if it lacks logical flow. |源自话题一致性、逻辑推进和共享的世界知识。如果缺乏逻辑流程，文本可能只有衔接而无连贯。
- Information Structure: Theme and Rheme | 信息结构：主位与述位 – The theme is the starting point of the clause (what is talked about), the rheme is the new information. Patterns of thematic progression (linear, constant, split) reveal how writers guide readers. | 主位是小句的出发点（所谈之事），述位是新信息。主位推进模式（线性、连续、分裂）揭示作者如何引导读者。
In your analysis, use a discourse flowchart: identify opening cohesive chains, midpoint shifts, and closing strategies.
在分析中，使用话语流程图：识别开篇衔接链、中途转变和结尾策略。
12. Exam Writing Toolkit: PEEL and Critical Vocabulary | 考试写作工具箱：PEEL与批判词汇
Even the most brilliant analytical insight can be lost without a clear paragraph formula. PEEL is the standard 'theorem' for body paragraphs, supported by a rich critical lexicon.
如果没有清晰的段落公式，再精妙的分析洞见也可能被埋没。PEEL是主体段落的标准“定理”，辅以丰富的批判词汇。
- PEEL Structure | PEEL 结构 – Point (make a clear topic sentence linked to the question), Evidence (embed a quotation or precise reference), Explanation (analyse the effect of the writer's choices, using terminology), Link (connect back to the thesis and/or forward to the next point). | 观点（写出与题目相关的清晰主题句）、证据（嵌入引文或精确指称）、解释（用术语分析作者选择的效果）、链接（回扣论点并/或过渡到下一要点）。
- Analytical Verbs | 分析性动词 – Elevate your writing with precise verbs: 'suggests', 'implies', 'connotes', 'foregrounds', 'subverts', 'reinforces', 'juxtaposes', 'mirrors', 'amplifies', 'undermines'. Avoid dead phrases like 'this shows'. | 用精确动词提升写作：“暗示”“隐含”“影射”“前景化”“颠覆”“强化”“并置”“反映”“放大”“削弱”。避免使用“这表明”之类的乏力短语。
- Evaluative Adjectives | 评价性形容词 – Useful for opening or concluding evaluations: 'compelling', 'subtle', 'overt', 'polemical', 'lyrical', 'laconic', 'didactic', 'ambivalent'. | 用于开启或总结评价：“引人注目”“微妙”“公开”“论战性”“抒情”“简洁”“说教”“矛盾”。
- Linkers of Causality and Contrast | 因果与对比连接词 – 'Consequently', 'as a result', 'therefore' for causality; 'however', 'nonetheless', 'in contrast', 'on the other hand' for contrast. | 因果：“因而”“结果”“因此”；对比：“然而”“尽管如此”“对比之下”“另一方面”。
Practice writing a PEEL paragraph for a sample unseen text every day. After a week, the formula will become second nature, and you can flex it, modify it, and even break it for deliberate effect in your own writing.
每天就一篇陌生的样本文本练习写一个PEEL段落。一周之后，公式便会成为本能，你可以灵活运用、修改，甚至在自己写作中为刻意效果而打破它。
Published by TutorHao | Year 13 English Revision Series | aleveler.com
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