📚 Year 7 Cambridge Politics: Formula & Theorem Quick Reference | Year 7 剑桥政治：公式定理速查手册
Politics sometimes feels like a messy argument, but underneath it all there are clear patterns and relationships. This quick reference handbook collects the most important “formulas” and “theorems” of politics – short, memorable ways to understand power, government, rights, and citizenship. Each formula is a tool to help you analyse how societies are run, why rules matter, and how people can work together to make decisions. Keep this guide close when revising for your Year 7 Cambridge Politics course.
政治有时像一场混乱的争吵，但在其背后却隐藏着清晰的模式和关系。这本速查手册汇集了政治学最重要的“公式”和“定理”——用简短易记的方式帮助理解权力、政府、权利和公民身份。每条公式都是一个工具，让你能够分析社会如何运作、规则为何重要以及人们如何共同做出决策。在复习 Year 7 剑桥政治课程时，请随时翻阅本指南。
1. The Power Formula | 权力公式
Political power can be broken down into three essential ingredients: legitimacy (the belief that authority is rightful), authority (the recognised right to give orders), and enforceability (the practical means to make people comply). The basic relationship is: Power = Legitimacy × Authority + Enforceability. If legitimacy is zero, power depends only on force and quickly becomes unstable. A ruler who is seen as legitimate can achieve far more with far less violence.
政治权力可以分解为三个基本要素：合法性（人们相信权力正当的信念）、权威（被认可的发号施令的权利）和强制力（使人们服从的实际手段）。基本关系是：权力 = 合法性 × 权威 + 强制力。如果合法性为零，权力便仅仅依靠武力，很快就会变得不稳定。一个被视为合法的统治者能够用少得多的暴力实现多得多的目标。
This formula explains why revolutions happen when legitimacy collapses, and why governments invest so much effort in winning elections, upholding constitutions, and gaining public trust.
这个公式解释了为什么当合法性崩溃时革命就会发生，以及为什么政府会投入大量精力赢得选举、维护宪法和获取公众信任。
2. The Democracy Theorem | 民主定理
Democracy is not just about voting. The “Democracy Theorem” states that for a country to be genuinely democratic, all four of these conditions must be present and actively working: Democracy = Free and Fair Elections + Rule of Law + Protection of Rights + Active Citizens. Remove any one term and the system begins to weaken. Elections without the rule of law can become a competition of bribes; rights without active citizens remain words on paper.
民主不仅仅是投票。 “民主定理”指出，一个国家要真正民主，必须同时满足并积极运行以下四个条件：民主 = 自由公正的选举 + 法治 + 权利保护 + 积极公民。若缺少其中任何一项，民主体系便会开始弱化。没有法治的选举可能沦为贿赂比赛；没有积极公民的权利也终究是纸上空文。
3. The Separation of Powers Formula | 权力分立公式
The separation of powers is a safety mechanism for freedom. It can be expressed as a system of checks and balances: Balanced Government = Legislature ↔ Executive ↔ Judiciary. The legislature makes laws, the executive carries them out, and the judiciary interprets them. The arrows show that each branch has ways to limit the power of the other two (for example, courts can declare a government action unlawful, and parliament can question ministers). When the formula is followed, no single person or group can grab all the power.
权力分立是保障自由的安全机制。它可以表示为一个制衡系统：平衡政府 = 立法机关 ↔ 行政机关 ↔ 司法机关。立法机关制定法律，行政机关执行法律，司法机关解释法律。双向箭头表明每个部门都有办法限制其他两个部门的权力（例如，法院可以宣布政府行为违法，议会则可以质询部长）。当这个公式得到遵守时，没有任何个人或团体能够攫取全部权力。
4. The Rule of Law Formula | 法治公式
The rule of law means that everyone – including the prime minister – is bound by the law. The core formula is: Rule of Law = Supremacy of Law + Equality before the Law + Due Process. Supremacy of law means that the law is above any individual. Equality before the law means the same rules apply to a homeless person and a billionaire. Due process guarantees fair procedures, such as a fair trial before punishment.
法治意味着每个人——包括总理——都受到法律的约束。其核心公式为：法治 = 法律至上 + 法律面前人人平等 + 正当程序。法律至上是指法律高于任何个人。法律面前人人平等意味着同样的规则既适用于流浪者也适用于亿万富翁。正当程序则保障公平的程序，例如未经公正审判不得惩罚。
This formula helps you test whether a country truly follows the rule of law: check if there are clear laws everyone can know, if courts treat people alike, and if proper steps must be followed before the state acts against a citizen.
这个公式帮助你检验一个国家是否真正遵循法治：检查是否有明确且人人可知的法律，法院是否平等对待每一个人，以及国家在对公民采取措施前是否必须遵循规范步骤。
5. The Legitimacy Equation | 合法性方程
Legitimacy can be measured. The equation is: Legitimacy = Consent + Performance + Historical Tradition. Consent comes from free elections or referendums. Performance means delivering peace, prosperity, and services. Historical tradition refers to long‑accepted customs and symbols, like a monarchy that has served for centuries. The more of these elements a government has, the more willingly people obey its laws without needing to be forced.
合法性是可以衡量的。这个方程是：合法性 = 同意 + 政绩 + 历史传统。同意来自自由选举或公投。政绩意味着带来和平、繁荣和公共服务。历史传统则指长期被接受的习俗和象征，比如延续了几个世纪的君主制。政府拥有这些要素越多，人们就越愿意自愿守法，而不必被强制。
6. The Sovereignty Formula | 主权公式
Sovereignty is the ultimate authority within a territory. It requires two things: Sovereignty = Internal Control + External Recognition. Internal control means a government can make and enforce laws inside its borders without interference. External recognition means other states accept that this government is the legitimate ruler of that land. Without external recognition, a state may struggle to join international organisations or sign treaties.
主权是一国领土内的最高权威。它需要两样东西：主权 = 对内控制 + 外部承认。对内控制意味着政府能在其边界内制定并执行法律而不受干涉。外部承认的意思是其他国家接受该政府是那片土地的合法统治者。没有外部承认，国家可能难以加入国际组织或签署条约。
7. The Accountability Principle | 问责原则
In a healthy political system, those in power must be held to account. The principle can be written as: Accountability = Transparency + Answerability + Consequences. Transparency means decisions and spending are open to public scrutiny. Answerability requires officials to explain their actions. Consequences mean there are real penalties for misconduct – from losing an election to facing criminal charges. Without all three, accountability is hollow.
在一个健康的政治体系中，掌权者必须被追究责任。这一原则可以写成：问责 = 透明 + 回应义务 + 后果。透明意味着决策和开支对公众公开。回应义务要求官员解释他们的行为。后果意味着对不当行为有真正的惩罚——从输掉选举到面临刑事指控。缺了任何一项，问责便是空洞的。
8. The Human Rights Theorem | 人权定理
Human rights are the fundamental protections every person deserves. The theorem states that these rights possess three inseparable qualities: Human Rights = Universality + Inalienability + Indivisibility. Universality means they belong to everyone, everywhere. Inalienability means they cannot be taken away (though they can sometimes be limited in emergencies by law). Indivisibility means civil, political, economic, social, and cultural rights are all equally important and cannot be ranked.
人权是每个人应得的基本保护。该定理指出这些权利具有三种不可分割的特性：人权 = 普遍性 + 不可剥夺性 + 不可分割性。普遍性意味着它们属于每个地方的每个人。不可剥夺性意味着它们不能被夺走（尽管在紧急状态下法律可加以一定限制）。不可分割性则意味着公民、政治、经济、社会和文化权利都同等重要，不可排序。
9. The Participation Formula | 政治参与公式
Democracy works only when citizens get involved. The participation formula is: Political Participation = Voting + Contacting Representatives + Campaigning + Peaceful Protest. Each activity adds a different form of pressure on decision‑makers. Voting sets the direction, contacting representatives raises specific problems, campaigning spreads ideas, and peaceful protest shows how strongly people feel. The formula reminds you that voting is the minimum, not the maximum, of democratic engagement.
民主只有在公民参与时才能运行。参与公式是：政治参与 = 投票 + 联系代表 + 参与竞选 + 和平抗议。每种活动都给决策者施加不同形式的压力。投票设定大方向，联系代表提出具体问题，参与竞选传播理念，和平抗议则显示民众的感受有多强烈。这个公式提醒你，投票只是民主参与的最低限度，而非全部。
10. The Electoral Integrity Formula | 选举公正公式
A credible election must satisfy several conditions. The electoral integrity formula is: Fair Election = Universal Suffrage + Secret Ballot + Impartial Counting + Free Campaign. Universal suffrage ensures all eligible adults can vote. Secret ballot protects voters from intimidation. Impartial counting means no rigging. Free campaign allows candidates and parties to present their platforms without fear. If any factor is missing, the election result loses legitimacy.
一次可信的选举必须满足多个条件。选举公正公式为：公正选举 = 普选权 + 无记名投票 + 公正计票 + 自由竞选。普选权确保所有符合条件的成年人都能投票。无记名投票保护选民不受恐吓。公正计票意味着没有舞弊。自由竞选允许候选人和政党无畏地提出政纲。若缺了任一因素，选举结果便失去合法性。
11. The Ideology Spectrum Model | 意识形态光谱模型
Political ideologies can be placed on a spectrum from left to right, but it is more useful to think in two dimensions: Ideology Position = f(Economic Intervention, Social Liberties). Economic intervention runs from a fully state‑controlled economy on one end to a completely free market on the other. Social liberties runs from strict traditional authority to maximum personal freedom. The model shows that two people might share left‑wing economic views but disagree entirely on social issues, or vice versa.
政治意识形态可以放在从左到右的光谱上，但用两个维度来思考更有用：意识形态位置 = f(经济干预，社会自由)。经济干预从一端完全国家控制的经济延伸到另一端的完全自由市场。社会自由则从严守传统权威一直到最大限度的个人自由。该模型表明，两个人可能在经济问题上同属左翼，但在社会问题上看法完全不同，反之亦然。
This tool helps you understand why labels like “left” and “right” are starting points, not full descriptions. Many modern parties cluster near the centre with slight variations on each axis.
这个工具有助于你理解为什么“左派”和“右派”这样的标签只是起点，而不是完整的描述。许多现代政党都集中在中心附近，只是在每个轴上有细微差别。
12. The Constitution Theorem | 宪法定理
A constitution is the supreme set of rules for a state. The theorem is: Constitutional Government = Limited Powers + Protected Rights + Amendment Procedure. Limited powers mean the government can only do what the constitution allows. Protected rights create a zone of freedom the state cannot invade. An amendment procedure exists to let the constitution adapt peacefully over time, but it is deliberately hard to use – preventing fleeting majorities from rewriting fundamental rules.
宪法是一个国家的最高规则集合。这条定理是：宪政 = 权力受限 + 权利受保护 + 修宪程序。权力受限意味着政府只能做宪法允许的事。权利受保护创造了一个国家不可侵犯的自由领域。修宪程序的存在是为了让宪法能够随着时间和平演变，但它故意设置得较难使用——防止转瞬即逝的多数派改写根本规则。
Together, these formulas and theorems give you a mental toolkit for analysing any political story in the news. When you see a protest, you can ask about the legitimacy equation. When you read about an election, run it through the electoral integrity formula. Year 7 Cambridge Politics is about learning to think like a political scientist – and these short expressions make that thinking systematic and memorable.
这些公式和定理共同为你提供了分析新闻中任何政治事件的思维工具箱。当你看到抗议时，可以想想合法性方程。当你读到选举时，可以用选举公正公式去检验。Year 7 剑桥政治的目标是学会像政治学家一样思考——而这些简短的表达式会让你的思考变得系统且难忘。
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