📚 Year 10 Cambridge English: Essential Formulas & Theorems Quick Reference | 剑桥10年级英语：公式定理速查手册
Cambridge IGCSE English demands more than just flair; it requires a firm grasp of reliable writing structures, analytical patterns, and language rules. Think of these as your ‘formulas’ and ‘theorems’ – repeatable, proven methods that bring clarity and confidence to every answer. This quick-reference guide consolidates the essential building blocks you need for Year 10 success, from paragraph architecture to punctuation logic.
剑桥 IGCSE 英语考试需要的不仅仅是文采，更要求牢固掌握可靠的写作结构、分析模式与语言规则。你可以把这些当作你的“公式”和“定理”——可重复使用、经过验证的方法，为每一道答案带来清晰与信心。这本速查手册浓缩了你在十年级取得成功所需的关键模块，从段落构建到标点逻辑，一应俱全。
1. The P-E-E Paragraph Formula | P-E-E 段落公式
The P-E-E (Point, Evidence, Explanation) structure is the cornerstone of analytical writing. It transforms a vague response into a sharp, text-grounded argument. Memorise this formula and never submit an unsupported answer again.
P-E-E（观点、证据、解释）结构是分析性写作的基石。它能把含糊的回答转化为犀利且有文本依据的论证。牢记这个公式，再也不要提交没有依据的答案。
Point: Start with a clear, assertive topic sentence that directly answers the question. Example: ‘The writer presents the castle as a symbol of isolation.’
观点： 先用一个清晰、果断的主题句直接回答问题。例如：“作者将城堡描绘成孤独的象征。”
Evidence: Embed a short, well-chosen quotation or precise textual reference. Do not just float the quote; integrate it. Example: ‘This is evident through the ‘cold, grey stone’ which ‘seemed to swallow all light’.’
证据： 嵌入一个简短、精选的引语或精确的文本参考。不要孤立地抛出引语，要加以融合。例如：“这一点通过‘冰冷、灰暗的石头’得以体现，这些石头‘仿佛吞噬了所有光线’。”
Explanation: Zoom in on specific words, analyse their effect, and connect to the writer’s purpose. Use phrases like ‘The adjective […] conveys…’, ‘This imagery makes the reader feel… because…’.
解释： 聚焦具体的词语，分析其效果，并与作者的意图联系起来。使用诸如“形容词……传达出……”、“这一意象让读者感受到……因为……”的表达。
2. Sentence Construction Formulas | 句子构建公式
A varied rhythm of sentences keeps your writing lively. Knowing the exact formulas for each type helps you diversify your expression deliberately, rather than by accident.
富于变化的句子节奏能让你的写作生动起来。掌握每种句型的准确公式，能帮你刻意而非偶然地丰富表达。
Simple: Subject + Predicate
简单句：主语 + 谓语
Example: ‘The sea roared.’ Use this for impact and brevity.
例句：“大海咆哮。” 这种句型用于强调和简洁表述。
Compound: Independent Clause + , for/and/nor/but/or/yet/so + Independent Clause
并列句：独立分句 + , for/and/nor/but/or/yet/so + 独立分句
Example: ‘The fog thickened, and the distant cries became muffled.’
例句：“雾越来越浓，远方的哭喊声变得模糊不清。”
Complex: Independent Clause + Subordinating Conjunction + Dependent Clause
复合句：独立分句 + 从属连词 + 从句
Example: ‘Tension builds because the narrator withholds a crucial detail.’
例句：“紧张感逐渐增强，因为叙述者隐瞒了一个关键细节。”
3. Tense Consistency Theorem | 时态一致性定理
One of the most common examiner complaints is erratic tense usage. The theorem is simple: once you choose a tense for a segment, stick with it unless a genuine shift in time demands a change.
考官最常抱怨的问题之一就是时态混乱。定理很简单：一旦为某个片段选定了时态，就要坚持下去，除非真正的时间变化需要切换时态。
Literary Present Theorem: When discussing the events or language of a literary work, always use the present tense. ‘Golding uses the conch to represent order,’ not ‘Golding used the conch…’
文学现在时定理： 在讨论文学作品的事件或语言时，始终使用现在时。“戈尔丁用海螺来象征秩序”，而不是“戈尔丁曾用海螺……”。
Narrative Consistency: If you begin a narrative sentence in the past tense, ensure all verbs in that clause sequence agree. ‘She walked into the room, closed the door, and sat down.’
叙述一致性： 如果你用过去时开始一个叙述句，要确保这一从句序列中的所有动词保持一致。“她走进房间，关上门，坐了下来。”
4. Subject-Verb Agreement Formula | 主谓一致公式
Agreement errors are costly and avoidable. Apply these formulas to match your subject and verb correctly, even in complicated sentences.
主谓一致的错误代价高昂且完全可以避免。应用以下公式，即使在复杂的句子里，也能正确匹配主语和动词。
Singular subject + singular verb: ‘The list of items is on the desk.’ (Ignore the prepositional phrase ‘of items’; the true subject is ‘list’.)
单数主语 + 单数动词： “物品清单在桌子上。”（忽略介词短语“of items”，真正的主语是“清单”。）
Plural subject + plural verb: ‘The data were collected over ten years.’ (In formal English, ‘data’ is plural.)
复数主语 + 复数动词： “这些数据是历经十年收集的。”（在正式英语中，“data”是复数。）
Either/Or and Neither/Nor Formula: The verb agrees with the noun or pronoun nearest to it. ‘Neither the teacher nor the students were ready.’
并列连词公式： 动词与最靠近它的名词或代词保持一致。“老师没准备好，学生也没准备好。”
5. Figurative Language Recognition Theorems | 修辞格识别定理
To analyse a text, you must first accurately name the devices. These identification theorems provide a quick decision-tree for common figures of speech.
要分析文本，首先必须准确指出所用的修辞方法。这些识别定理为常见的修辞格提供了快速判定路径。
Simile Theorem: If a comparison uses ‘like’ or ‘as’, it is a simile. ‘The moon shone like a silver coin.’
明喻定理： 如果比较使用了“like”或“as”，就是明喻。“月亮像一枚银币般闪耀。”
Metaphor Theorem: If one thing is described as being another thing without using ‘like’ or ‘as’, it is a metaphor. ‘Her eyes were storm clouds.’
暗喻定理： 如果把一件事物说成是另一件事物，且没有使用“like”或“as”，就是暗喻。“她的双眼是暴风雨来临前的乌云。”
Personification Theorem: If a non-human object is given human actions, feelings, or attributes, it is personification. ‘The wind whispered secrets.’
拟人定理： 如果非人之物被赋予了人类的行为、感受或特质，就是拟人。“风儿低语着秘密。”
Pathetic Fallacy Theorem: When the weather or environment reflects the mood of characters or events, it is pathetic fallacy. ‘The rain hammered the windows during the argument.’
移情谬误定理： 当天气或环境反映了人物或事件的情绪时，就是移情谬误。“争吵时雨水猛烈敲打着窗户。”
6. Punctuation Precision Rules | 标点精密规则
Punctuation directs your reader’s breath and understanding. Treat these rules as non-negotiable commands in formal writing.
标点引导读者的呼吸与理解。在正式写作中，把这些规则看作不可妥协的指令。
Comma (,) before Coordinating Conjunction: Use a comma before ‘for, and, nor, but, or, yet, so’ when they join two independent clauses. ‘The sun set, and the temperature dropped.’
并列连词前用逗号： 当 for, and, nor, but, or, yet, so 连接两个独立分句时，在它们前面加逗号。“太阳落山了，气温也下降了。”
Apostrophe for Possession: Singular nouns take ’s (the student’s essay); plural nouns ending in s take only an apostrophe (the students’ essays).
属格撇号： 单数名词加 ’s（the student’s essay）；以 s 结尾的复数名词只加撇号（the students’ essays）。
Apostrophe for Contraction: Use an apostrophe to indicate missing letters (it’s = it is). Do not confuse with possessive ‘its’.
缩略撇号： 用撇号表示省略的字母（it’s = it is）。不要与表示所属关系的“its”混淆。
Semicolon (;) Link: Use a semicolon to connect two closely related independent clauses without a conjunction. ‘The evidence is overwhelming; the conclusion is inescapable.’
分号连接： 用分号连接两个密切相关且未使用连词的独立分句。“证据充分确凿；结论无可辩驳。”
7. Thesis Statement Formula | 论点陈述公式
A strong thesis is the command centre of your essay. It must be specific, arguable, and forward-looking. Use this formula to avoid vague, descriptive statements.
有力的论点是文章的控制中心。它必须具体、有争议性且具有前瞻性。用这个公式避免模糊、描述性的陈述。
Thesis = Topic + Your Specific Argument + Preview of Reasons
论点 = 主题 + 你的具体论点 + 理由预览
Weak: ‘This essay will discuss symbolism in The Handmaid’s Tale.’
弱句：“本文将讨论《使女的故事》中的象征手法。”
Strong: ‘Through the symbol of the red robes, Atwood exposes the regime’s systematic stripping of individual identity, which is achieved by visual uniformity, imposed fertility symbolism, and the erasure of personal names.’
强句：“通过红色长袍这一象征，阿特伍德揭露了该政权对个人身份的系统性剥夺，这种剥夺通过视觉统一、强加的生育象征和抹除个人姓名得以实现。”
8. Formal Register Theorem | 正式语体定理
Informal language bleeds marks in analytical writing. The formal register theorem demands that you avoid casualisms, contractions, and vague intensifiers as if they are logical fallacies.
非正式语言会让分析性写作丢分。正式语体定理要求你像避免逻辑谬误一样，摒弃随意用语、缩略形式和模糊的强调词。
No Contractions: Replace ‘can’t’ with ‘cannot’, ‘doesn’t’ with ‘does not’.
不用缩略词： 用 cannot 代替 can’t，用 does not 代替 doesn’t。
No ‘very’ or ‘really’: Replace the weak ‘very important’ with ‘crucial’ or ‘vital’. Use precise vocabulary.
不用“very”或“really”： 用 crucial 或 vital 等精确词汇代替软弱的 very important。
No First Person (Generally): Avoid ‘I think’ or ‘In my opinion’. Instead, embed your stance confidently: ‘The imagery clearly demonstrates…’
通常不用第一人称： 避免“我认为”或“依我之见”。相反，自信地融入你的立场：“这一意象清楚地表明……”
9. Cohesion and Coherence Formulas | 衔接与连贯公式
Cohesion is the glue that binds your sentences, while coherence ensures your ideas make sense. Use these transitional formulas to guide your reader seamlessly.
衔接是粘合句子的胶水，而连贯则确保你的想法有意义。运用这些过渡公式，无缝地引导读者。
Addition Formula: Furthermore, Moreover, Additionally, In addition to
递进公式： Furthermore, Moreover, Additionally, In addition to
Contrast Formula: However, On the other hand, Conversely, Although, Despite
转折公式： However, On the other hand, Conversely, Although, Despite
Consequence Formula: Therefore, Consequently, As a result, Thus, Hence
因果公式： Therefore, Consequently, As a result, Thus, Hence
Exemplification Formula: For instance, Such as, To illustrate, Namely
举例公式： For instance, Such as, To illustrate, Namely
10. Cambridge Question Interrogation Framework | 剑桥考题审题框架
Many marks are lost by answering the question you wished for, not the one on the paper. Interrogate command terms and key words systematically.
很多失分是因为回答了你希望看到的题目，而不是试卷上的题目。要系统地审问指令词和关键词。
‘How does…’: This demands analysis of methods. Focus on language, structure, and form. ‘How does the writer create suspense?’ requires naming techniques and explaining their effect.
“How does…”： 这要求分析方法。聚焦语言、结构和形式。“作者如何营造悬念？”需要指出技巧并解释其效果。
‘Explore / In what ways…’: This invites multiple interpretations. Consider different angles, ambiguities, and developments across the text.
“Explore / In what ways…”： 这要求多元解读。要考虑到文本中的不同角度、含混之处和变化发展。
‘To what extent do you agree?’: You must evaluate and offer a balanced judgement. Acknowledge the opposing viewpoint before reinforcing your own with the strongest evidence.
“To what extent do you agree?”： 你必须进行评估并给出平衡的判断。先承认反对观点，再用最强有力的证据强化自己的立场。
11. Persuasive Techniques Power Set | 说服技巧合集
Whether you are analysing a speech or writing to argue, the rhetorical appeal formulas are your timeless toolkit. Ethos, Pathos, Logos form the foundation, supported by precise stylistic devices.
无论你是在分析演讲稿，还是进行议论写作，修辞诉求公式都是你经久不衰的工具箱。人品诉求、情感诉求、理性诉求构成基础，并由具体的文体手法支撑。
Ethos (Credibility): Builds trust through reference to shared values, expert testimony, or the speaker’s own authority. ‘As a lifelong educator, I know that…’
人品诉求 (Credibility)： 通过提及共同价值观、专家证言或说话者自身的权威来建立信任。“作为一名终身教育工作者，我深知……”
Pathos (Emotion): Evokes feelings like pity, anger, or joy through anecdotes, vivid imagery, and emotive language. ‘Imagine a child, alone and hungry…’
情感诉求 (Emotion)： 通过轶事、生动意象和情感语言唤起怜悯、愤怒或喜悦等感受。“想象一个孩子，孤苦伶仃、饥肠辘辘……”
Logos (Logic): Persuades with reason, statistics, and cause-effect sequences. ‘Every year, over two million people… Facts alone compel us to act.’
理性诉求 (Logic)： 用推理、统计数据和因果序列来说服。“每年，超过两百万人……仅事实本身就迫使我们行动。”
Direct Address & Rhetorical Questions: ‘You’ engages the reader personally. ‘Are we going to stand by and do nothing?’ challenges them.
直呼与反问： “你”让读者有身临其境之感。“难道我们要袖手旁观、无所作为吗？”则是对他们的挑战。
12. Summary Writing Formula | 摘要写作公式
Summary tasks test concision and comprehension. This formula ensures you extract only the essential points and express them in your own tight prose.
摘要题测试简洁与理解力。这个公式确保你只提取要点，并用你自己紧凑的文字表达出来。
Step 1 – Read for Gist: Skim the passage to understand the overall topic and tone. Do not underline anything yet.
第1步 – 通读大意： 略读段落，了解整体主题和语气。暂时不做任何下划线。
Step 2 – Extract Key Points: Read again and list only the facts, causes, effects, and developments that directly answer the question. Ignore examples, repetitions, and descriptive flourishes.
第2步 – 提取要点： 再次阅读，只列出直接回答问题的事实、原因、结果和发展。忽略例子、重复和修饰性描写。
Step 3 – Paraphrase with Synonyms: Rewrite each key point using your own vocabulary and sentence structures. Never lift whole phrases from the original.
第3步 – 同义改写： 用你自己的词汇和句子结构重写每个要点。绝不要照搬原文的整段短语。
Step 4 – Connect Smoothly: Use a handful of logical connectors (firstly, additionally, consequently) to transition between points, keeping the summary fluid and continuous.
第4步 – 流畅连接： 使用少量逻辑连接词（firstly, additionally, consequently）在要点之间过渡，保持摘要的流畅和连贯。
Step 5 – Word Count Check: Adhere strictly to the word limit. If over, cut adjectives and adverbs first; if under, check you haven’t missed a required element.
第5步 – 核对字数： 严格遵守字数限制。如果超了，先删形容词和副词；如果未达字数，检查是否遗漏了必要要素。
Published by TutorHao | English Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
屏轩国际教育cambridge primary/secondary checkpoint, cat4, ukiset,ukcat,igcse,alevel,PAT,STEP,MAT, ibdp,ap,ssat,sat,sat2课程辅导，国外大学本科硕士研究生博士课程论文辅导