Year 11 CCEA Politics: Formulas & Theorems Quick Reference Guide | Year 11 CCEA 政治:公式定理速查手册

📚 Year 11 CCEA Politics: Formulas & Theorems Quick Reference Guide | Year 11 CCEA 政治:公式定理速查手册

This quick reference handbook presents the key formulas, theorems and principles you need to master for CCEA Year 11 Government and Politics. From electoral quotas to power-sharing rules, each concept is clearly explained in both English and Chinese to support your revision.

本速查手册汇集了 CCEA Year 11 政治学中必须掌握的公式、定理与核心原则。从选举配额到权力分享规则,每个概念均以中英双语清晰呈现,助你高效备考。


1. Electoral Formulas: Droop Quota & d’Hondt Method | 选举公式:德鲁普配额与洪德法

In Single Transferable Vote (STV) elections, the Droop quota determines the threshold a candidate must reach to be elected. It is calculated as the total number of valid votes divided by the number of seats plus one, then taking the integer part and adding one.

在单记名可让渡投票制(STV)选举中,德鲁普配额决定候选人当选的最低票数门槛。计算方式为总有效票数除以(应选席位数加一),取整数部分后再加一。

Q = ⌊ V / (S + 1) ⌋ + 1

For instance, if 10,000 valid votes are cast to fill 4 seats, the quota becomes ⌊10000/(4+1)⌋ + 1 = 2001 votes. Any candidate reaching this quota is elected, and surplus votes are transferred. The d’Hondt formula is a highest-average method used to allocate seats in list proportional representation, and also to distribute ministerial portfolios in the Northern Ireland Executive. Each party’s vote total is divided by 1, 2, 3, and so on; the highest quotients determine which party gains the next seat or post.

例如,若共投出 10 000 张有效票、争夺 4 个席位,则配额为 ⌊10000/5⌋ +1 = 2001 票。任何达到该配额的候选人当选,多余票数会被转移。洪德法是最高平均数法,用于比例代表名单制的席位分配,也用于分配北爱尔兰行政部门的部长职位。各党的得票数依次除以 1、2、3……,最高的商数决定谁获得下一个席位或职位。


2. Duverger’s Law | 迪韦尔热定律

Duverger’s law is a political science principle stating that single-member district plurality electoral systems (such as First Past the Post) tend to favour a two-party system, while proportional representation encourages multiparty systems. The mechanism lies in strategic voting: under plurality rules, voters perceive small-party votes as ‘wasted’ and rally behind one of the two strongest candidates.

迪韦尔热定律是一条政治学原理:单一选区简单多数制(如领先者当选制)往往促成两党制,而比例代表制则鼓励多党制。其机制在于策略性投票:在多数制下,选民认为投给小党即浪费选票,因而集中支持两位最有实力的候选人之一。


3. The Rule of Law Theorem | 法治理则

Albert Venn Dicey’s theorem of the rule of law holds that no individual or institution is above the law, everyone is equal before the law, and the constitution emerges from the ordinary decisions of courts. This principle rests on legality, equality, judicial independence and access to justice.

戴雪的法治原则认为:无人或机构可凌驾于法律之上,人人在法律面前平等,宪法源自法院的日常裁决。该原理立足于合法性、平等、司法独立和诉诸司法的权利。


4. Separation of Powers Theorem | 分权原理

Montesquieu’s separation of powers theorem divides government into three distinct branches: the legislature (makes law), the executive (implements law) and the judiciary (interprets law and dispenses justice). By dispersing power, the model prevents tyranny and protects individual liberty. In practice, the UK mixes powers (e.g., ministers sit in Parliament), but the doctrine remains fundamental.

孟德斯鸠的分权原理将政府分为三个分支:立法机关(制定法律)、行政机关(执行法律)和司法机关(解释法律并主持正义)。通过分散权力,该模式防止暴政并保障个人自由。实际上,英国权力有所融合(如大臣同时是议员),但这一原理仍然是基础。


5. Parliamentary Sovereignty Theorem | 议会主权定理

Under Dicey’s parliamentary sovereignty theorem, the Westminster Parliament is the supreme legal authority. It can make or unmake any law, and no body or court can override its legislation. This ‘sovereignty formula’ means that EU law was only binding because Parliament chose to give it effect through the European Communities Act 1972; Parliament reclaimed full sovereignty through the EU (Withdrawal) Act 2018.

根据戴雪的议会主权定理,威斯敏斯特议会是最高法律权威,可制定或废除任何法律,且任何机构或法院均无权推翻其立法。这一“主权公式”意味着,欧盟法之所以有效,只因议会通过《1972年欧洲共同体法》自愿赋予其效力;而《2018年欧盟(退出)法》使议会收回了完全主权。


6. Consociational Democracy Theorem | 协和式民主定理

Arend Lijphart’s consociational democracy theorem prescribes four power‑sharing mechanisms for deeply divided societies: a grand coalition government comprising all major groups, a mutual veto to protect vital interests, proportionality in political representation and public sector appointments, and segmental autonomy for each community in cultural matters. The 1998 Belfast (Good Friday) Agreement institutionalised these elements in Northern Ireland.

利普哈特的协和民主定理为深度分裂的社会设计了四项权力分享机制:由所有主要群体组成的大联合政府、保护关键利益的相互否决权、政治代表与公共部门任命的比例制,以及各社群在文化事务上的自主权。1998年《贝尔法斯特(美好星期五)协议》将这些要素制度化了北爱尔兰的政治架构。


7. The Westminster Model vs Consociationalism | 威斯敏斯特模型与协和式民主对比

The Westminster model theorem describes the traditional UK system: a single-party majority government drawn from the House of Commons, cabinet dominance over the legislature, an uncodified constitution, a two-party system, and parliamentary sovereignty. In Northern Ireland, the consociational model replaces these elements with coalition, proportionality and community vetoes.

威斯敏斯特模型定理描绘了传统的英国体系:源自下议院的一党多数政府、内阁对立法机关的主导、不成文宪法、两党制以及议会主权。在北爱尔兰,协和模式则以联合政府、比例制和社群否决权取代了上述特征。

Feature (English / 中文) Westminster Model | 威斯敏斯特模型 Consociational Model | 协和模式
Government formation / 政府组成 Single-party majority / 一党多数 Mandatory grand coalition / 强制性大联合
Power division / 权力划分 Adversarial ‘winner takes all’ / 对抗性赢者通吃 Power-sharing, mutual veto / 权力分享、相互否决
Representation / 代表制 Territorial, FPTP to Parliament / 地域选区,议会领先者当选 Proportional (STV), cross-community consent / 比例制(STV)、跨社群同意
Sovereignty / 主权 Parliamentary sovereignty / 议会主权 Shared sovereignty, consociational rules / 共享主权,依协和规则

8. Power-Sharing Formula: d’Hondt Executive Appointments | 权力分享公式:洪德法行政任命

Following an Assembly election, the Northern Ireland Executive is formed using the d’Hondt mechanism based on party seat strengths. The party with the highest number of seats selects the first ministry; its seat total is then divided by (1 + number of posts already filled), and the process repeats until all departments are allocated. This mathematical rule embeds inclusivity by ensuring that even smaller parties can gain executive office.

议会选举后,北爱尔兰行政部门依各党席位数通过洪德法组成。席位最多的党率先挑选第一个部长职位;随后其席位数除以(已分配职位数+1),以此重复直至所有部门分配完毕。这一数学规则通过确保

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