📚 IGCSE CCEA History: Formula and Theorem Quick Revision Handbook | IGCSE CCEA 历史：公式定理速查手册
History often feels like a subject of stories, dates and names, but exam success in CCEA IGCSE History depends on applying repeatable analytical 'formulas' to any topic.
历史常让人觉得是故事、日期和人名的科目，但在 CCEA IGCSE 历史考试中取得成功，关键在于将可重复运用的分析“公式”应用到任何主题。
This handbook collects the key formulas and theorems used by high-scoring students: cause and consequence, change and continuity, source utility, reliability, comparison, judgement and revision.
本手册汇集高分学生使用的关键公式与定理：原因与结果、变化与延续、史料效用、可靠性、比较、判断与复习方法。
1. The Cause-Consequence Formula | 原因与结果公式
Long-term cause + Short-term cause + Trigger → Event → Intended result + Unintended result
In CCEA answers, you should never list causes in isolation. The formula forces you to link long-term pressures, short-term decisions and the immediate trigger before explaining consequences.
在 CCEA 答案中，你绝不应孤立罗列原因。这个公式要求你连接长期压力、短期决策与直接导火索，然后再解释后果。
nd (trigger) → war in Europe → occupation, Holocaust and Cold War division (consequences).
例如，第二次世界大战的爆发可以表示为：《凡尔赛条约》的怨恨（长期）+ 绥靖政策与纳粹侵略（短期）+ 入侵波兰（导火索）→ 欧洲战争 → 占领、大屠杀与冷战分裂（后果）。
- Long-term cause: underlying pressure over many years; e.g. nationalism, imperial rivalry, economic depression.
- 长期原因：持续多年的深层压力，如民族主义、帝国竞争、经济萧条。
- Short-term cause: decision or crisis in weeks or months before the event; e.g. Hitler's rearmament.
- 短期原因：事件发生前数周或数月的决策或危机，如希特勒重整军备。
- Trigger: the immediate spark; e.g. assassination, invasion, ultimatum.
- 导火索：直接引爆点，如刺杀、入侵、最后通牒。
2. The Change and Continuity Equation | 变化与延续方程
= (Scale × Pace) ÷ Resistance; Continuity = Persistence of institutions, beliefs or power
Historians ask what changed and what stayed the same. CCEA questions often say 'How far did X change?' which requires balanced judgement.
历史学家会问什么改变了，什么保持不变。CCEA 题目常问“X 在多大程度上发生了变化？”，这需要平衡的判断。
For example, the Nazi takeover in 1933 brought rapid political change: Reichstag Fire Decree, Enabling Act, banning of other parties. Yet there was continuity in elite support: army officers, industrialists and civil servants often remained in post.
例如，1933 年纳粹掌权带来了迅速的政治变化：《国会纵火法令》、《授权法》、取缔其他政党。但在精英支持方面存在延续性：军官、工业家和公务员往往继续留任。
Always use a 'change thermometer' n: 0 = no change, 10 = total transformation. Place your topic on the scale before writing.
始终在草稿边缘使用“变化温度计”：0 = 无变化，10 = 完全转型。写作前把你的主题放在刻度上。
3. The Significance Theorem | 历史意义定理
Significance = Remarkable + Remembered + Resonant + Resulting change + Revealing
CCEA mark schemes reward students who explain why an event or person was significant rather than merely describing it. Use the five Rs as a checklist.
CCEA 评分标准奖励那些解释某个事件或人物为何重要的学生，而不是只描述。使用五个 R 作为检查清单。
- Remarkable: was it unusual or shocking at the time?
- Remarkable（非凡）：当时是否不同寻常或令人震惊？
- Remembered: did people commemorate or memorialise it?
- Remembered（被铭记）：人们是否纪念或记住它？
- Resonant: did it influence later generations?
- Resonant（产生共鸣）：是否影响了后代？
- Resulting change: did it lead to legal, social or political change?
- Resulting change（带来变化）：是否导致法律、社会或政治变革？
- Revealing: does it reveal attitudes or conditions of the period?
- Revealing（揭示）：是否揭示了当时的态度或状况？
4. The Source Utility Formula | 史料效用公式
Utility = Content + Provenance + Context; Provenance = Nature + Origin + Purpose (NOP)
A CCEA source question such as 'How useful is Source A to a historian studying...' should never be answered with just reliable/unreliable. Utility means what the source can tell us, even if biased.
CCEA 史料题如“来源 A 对历史学家研究……有多大用处？”绝不应只回答可靠/不可靠。效用意味着该来源能告诉我们什么，即使带有偏见。
For example, a Nazi propaganda poster is unreliable about unemployment statistics, but highly useful as evidence of Nazi methods of control.
例如，一张纳粹宣传海报在失业统计数据上不可靠，但作为纳粹控制手段的证据却非常有用。
| Nature | What type of source is it? e.g. speech, diary, cartoon, official report |
| 性质 | 它是什么类型的史料？如演讲、日记、漫画、官方报告 |
| Origin | Who made it, when and where? |
| 来源 | 谁制作的？何时何地？ |
| Purpose | Why was it made? To inform, persuade, justify, mock? |
| 目的 | 为什么制作？为了告知、说服、辩护、嘲讽？ |
5. The Reliability Formula | 可靠性公式
Reliability = Accuracy × Corroboration − Bias
Reliability asks how far the source can be trusted to give an accurate account. A source can be reliable for one question and unreliable for another.
可靠性问的是该来源在多大程度上可以被信任为准确叙述。一个来源对某个问题可能可靠，对另一个问题则不可靠。
Check accuracy by comparing the source with your own knowledge. Check corroboration by comparing it with other sources. Then subtract the distortion caused by bias, selective memory or propaganda.
用你自己的知识核对准确性。通过与其他来源比较来核对佐证。然后减去由偏见、选择性记忆或宣传造成的扭曲。
Example: an eyewitness account of Kristallnacht may be accurate in describing violence but unreliable in estimating nationwide numbers, because the witness saw only one city.
例如：关于“水晶之夜”的目击者叙述在描述暴力时可能准确，但在估计全国数字时不可靠，因为目击者只看到了一座城市。
6. The Comparison Theorem | 比较定理
Comparison = Point of similarity + Point of difference + Evidence from both items
When a CCEA question asks you to compare two sources or interpretations, make direct comparisons rather than separate descriptions.
当 CCEA 题目要求比较两个来源或解释时，要做直接比较，而不是分别描述。
Use comparative language: 'whereas Source A claims..., Source B claims...'. Always support each similarity or difference with quotation or reference.
使用比较性语言：“来源 A 主张……而
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