📚 Year 7 WJEC Politics: Formulae & Theorems Quick Reference Handbook | WJEC 政治 7 年级：公式定理速查手册
This handbook provides a clear and structured overview of the essential ‘formulas’ and ‘theorems’ underpinning WJEC Year 7 Politics. In politics, a formula can be seen as the basic framework that organises how power is exercised, while a theorem is a fundamental principle that governs behaviour, rights and the rule of law. Each section breaks down a core idea into its key components, making it a quick reference for revision and learning.
这本手册清晰、结构化地概述了支撑 WJEC 7 年级政治课程的基本“公式”和“定理”。在政治中，公式可以被视为组织权力行使方式的基本框架，而定理则是支配行为、权利和法治的根本原则。每个部分都将一个核心思想分解为其关键组成部分，使其成为复习和学习的速查参考资料。
1. What is Politics? | 政治是什么？
Politics is the process by which people make decisions about how to live together in a community, how to allocate resources, and how to resolve conflicts. The simplest formula is: Politics = Power + Decision Making.
政治是人们就如何在一个社群中共同生活、如何分配资源以及如何解决冲突而作出决策的过程。最简单的公式是：政治 = 权力 + 决策。
Politics can be formal (in councils or parliaments) or informal (in families or friendship groups). The key theorem is that wherever a group of people gathers, some form of political structure will emerge. Understanding politics helps citizens recognise how their lives are shaped by those in authority and how they can influence decisions themselves.
政治可以是正式的（在议会或议会中）也可以是非正式的（在家庭或朋友群体中）。关键定理是：只要一群人聚集在一起，某种形式的政治结构就必然会出现。理解政治有助于公民认识到自己的生活如何被当权者塑造，以及他们自身如何影响决策。
2. The Formula of Government: Separation of Powers | 政府公式：权力分立
One of the most important political formulas is the separation of powers. In the United Kingdom, government functions are divided among three branches to prevent any single person or group from having too much control. The formula is: Government = Legislature + Executive + Judiciary.
最重要的政治公式之一是权力分立。在英国，政府职能被划分给三个分支，以防止任何个人或团体拥有过多控制权。该公式为：政府 = 立法机关 + 行政机关 + 司法机关。
- Legislature (Parliament): Makes laws.
- 立法机关（议会）： 制定法律。
- Executive (Prime Minister and Cabinet): Puts laws into action and runs the country.
- 行政机关（首相与内阁）： 将法律付诸实施并管理国家。
- Judiciary (Courts and judges): Interprets laws and ensures they are applied fairly.
- 司法机关（法院与法官）： 解释法律并确保其得到公平应用。
The theorem of interdependence reminds us that while these branches are separate, they must work together. For instance, Parliament creates a law, but the executive enforces it and the judiciary checks that it follows the constitution.
相互依存的定理提醒我们，尽管这些分支是分开的，它们必须协同工作。例如，议会制定了一部法律，但行政机关负责执行它，而司法机关则检查它是否符合宪法。
3. The Theorem of Democracy: Rule by the People | 民主定理：人民统治
Democracy is governed by a fundamental theorem: legitimate political authority comes from the people. The word itself means ‘rule by the people’ (demos = people, kratos = rule). The core principle can be written as: Democracy = Representation + Participation + Accountability.
民主受一条基本定理支配：合法的政治权威来自于人民。这个词本身意味着“由人民统治”（demos = 人民，kratos = 统治）。核心原则可以写作：民主 = 代表 + 参与 + 问责。
In the UK, this theorem is applied through regular elections where citizens choose Members of Parliament (MPs) to represent their views. Participation extends to joining a political party, campaigning or even protesting peacefully. Accountability means those in power must explain their decisions and can be removed at the ballot box if the public is dissatisfied.
在英国，这一定理通过定期选举得到应用，公民选举议会议员（MP）来代表他们的观点。参与的范围包括加入政党、开展竞选活动，甚至以和平方式抗议。问责意味着当权者必须解释他们的决策，如果公众不满意，可以在投票箱前将其罢免。
4. The UK Parliament: The Law-making Equation | 英国议会：立法方程式
Parliament is the supreme legislative body in the UK and follows a precise equation for making laws: Bill + Debates + Votes + Royal Assent = Act of Parliament (Statute Law).
议会是英国最高立法机构，并遵循一个精确的立法方程式：法案 + 辩论 + 投票 + 御准 = 议会法令（成文法）。
A bill must go through both the House of Commons and the House of Lords. The House of Commons is made up of elected MPs, while the House of Lords includes appointed peers and bishops. Once both Houses agree, the monarch gives Royal Assent, and the bill becomes law. The theorem of parliamentary sovereignty states that Parliament can make or repeal any law, and no other body can override it.
一项法案必须经过下议院和上议院的审议。下议院由民选的下议院议员组成，而上议院则包括受任命的贵族和主教。一旦两院达成一致，君主给予御准，法案便成为法律。议会主权定理指出，议会可以制定或废除任何法律，而且没有任何其他机构能够推翻它。
5. Elections and Voting: The Representation Principle | 选举与投票：代表原则
The representation principle is a theorem that connects citizens to their government. The formula for a general election can be summarised as: Votes → Constituency MP → Government Formation.
代表原则是一条将公民与政府联系起来的定理。大选的公式可以概括为：选票 → 选区议员 → 政府组建。
The UK uses the ‘First Past the Post’ voting system. The country is divided into 650 constituencies. In each constituency, the candidate with the most votes wins the seat, even if they do not have more than half of all votes. The political party that wins a majority of seats in the House of Commons usually forms the government, and its leader becomes Prime Minister. This theorem ensures that every local area has a direct voice in Parliament.
英国使用“简单多数制”投票制度。国家被划分为 650 个选区。在每个选区中，获得最多选票的候选人赢得席位，即使他们没有获得超过一半的选票。赢得下议院多数席位的政党通常组建政府，其党魁成为首相。这一定理确保每个地方区域在议会中都有直接的声音。
6. The Prime Minister and Cabinet: Executive Formula | 首相与内阁：行政公式
The executive branch operates using a formula of collective responsibility. The Prime Minister (PM) is the head of government and selects around 20 senior MPs to form the Cabinet. The formula is: Executive Power = PM + Cabinet + Government Departments.
行政机关按照集体负责制的公式运作。首相是政府首脑，并挑选大约 20 名资深下议院议员组成内阁。公式为：行政权力 = 首相 + 内阁 + 政府部门。
Each Cabinet minister runs a major department, such as the Treasury or the Home Office. The theorem of collective ministerial responsibility means that once a decision is made, all Cabinet members must publicly support it, even if they privately argued against it. If a minister cannot do so, they are expected to resign. This theorem maintains unity and clear direction within the government.
每位内阁大臣负责管理一个主要的部门，比如财政部或内政部。集体大臣责任定理意味着，一旦作出决定，所有内阁成员都必须公开支持，即使他们私下曾反对。如果一位大臣无法做到这一点，他们就应该辞职。这一定理维持了政府内部的团结和明确的方向。
7. The Monarchy: The Constitutional Role | 君主制：宪制角色
In the UK, the monarch plays a largely ceremonial role defined by a constitutional theorem: the monarch reigns but does not rule. The key functions can be summed up by a formula: Monarchy = Symbolic Unity + Ceremonial Duties + Formal Assent.
在英国，君主扮演着由宪制定理定义的、主要是礼仪性的角色：君主统而不治。其关键职能可以用一个公式来概括：君主制 = 象征性的统一 + 礼仪职责 + 正式批准。
The monarch opens Parliament each year, delivers the Queen’s (or King’s) Speech outlining the government’s plans, and gives Royal Assent to legislation. The monarch also represents the country abroad and awards honours. The unwritten theorem is that the monarch must remain politically neutral and not intervene in party politics. This neutrality preserves the stability of the democratic system.
君主每年主持议会开幕，发表包含政府施政大纲的国王（或女王）演讲，并给予立法御准。君主还代表国家出访并授予荣誉。不成文的定理是，君主必须保持政治中立，不得干预政党政治。这种中立性维护了民主制度的稳定。
8. Rights and Responsibilities: The Balance Theorem | 权利与责任：平衡定理
Citizenship is governed by a balance theorem: for every right, there is a corresponding responsibility. This can be expressed as a dynamic equation: Rights ⇌ Responsibilities. This equilibrium ensures that a free society can function without descending into chaos.
公民身份受一条平衡定理支配：每一项权利都有相应的责任。这可以用一个动态方程来表示：权利 ⇌ 责任。这种平衡确保了一个自由的社会能够在不会陷入混乱的情况下运转。
For example, the right to free speech carries the responsibility not to spread hate or lies. The right to a fair trial brings the responsibility to serve on a jury if called. In Year 7, students explore how their right to an education is matched by the responsibility to attend school and respect the learning environment. This theorem is the bedrock of mutual respect within a community.
例如，言论自由的权利伴随着不传播仇恨或谎言的责任。获得公正审判的权利带来的是在被传召时担任陪审员的责任。在 7 年级，学生们探究他们受教育的权利如何与上学和尊重学习环境的责任相匹配。这一定理是社群内相互尊重的基石。
9. The Rule of Law: The Justice Theorem | 法治：正义定理
The rule of law is a fundamental theorem that states no one is above the law, including the government itself. The formula for justice under this principle is: Fair Treatment = Known Laws + Independent Courts + Equal Application.
法治是一条基本定理，它表明没有人可以凌驾于法律之上，包括政府本身。在此原则下，正义的公式是：公平对待 = 已知的法律 + 独立的法院 + 平等的适用。
- Known Laws: Everyone must be able to know what the law is so they can follow it.
- 已知的法律： 每个人都必须能够知道法律是什么，这样他们才能遵守。
- Independent Courts: Judges must be free from pressure from the government or powerful people.
- 独立的法院： 法官必须摆脱来自政府或有权势者的压力。
- Equal Application: The same law applies to a student, a teacher, a police officer, and the Prime Minister.
- 平等的适用： 同样的法律适用于学生、教师、警察和首相。
This theorem protects individuals from arbitrary punishment and ensures that disputes are settled peacefully through a recognised legal process. Without the rule of law, society could become a system where power, not justice, decides outcomes.
这条定理保护个人免受任意惩罚，并确保争端通过公认的法律程序和平解决。如果没有法治，社会就可能变成一个由权力而非正义来决定结果的体系。
10. Active Citizenship: Participation Formula | 积极公民：参与公式
Active citizenship takes the theorems of democracy and turns them into action. The participation formula highlights the many ways people can get involved beyond voting: Active Citizenship = Voting + Volunteering + Campaigning + Engaging.
积极公民将民主定理转化为行动。参与公式凸显了人们在投票之外可以参与的多种方式：积极公民 = 投票 + 志愿服务 + 竞选活动 + 参与。
This could mean raising money for a local charity, writing to an MP about a road safety issue, signing an online petition or even standing for a student council election. The theorem of collective impact states that small individual actions, when multiplied across a community, can lead to significant political and social change. Year 7 students are encouraged to think of themselves as potential agents of change.
这可能意味着为当地慈善机构筹款，就某个道路安全问题写信给下议院议员，签署在线请愿书，甚至竞选学生会成员。集体影响定理指出，微小的个人行动在社区中倍增时，可以带来重大的政治和社会变革。7 年级学生被鼓励将自己视为潜在的变革推动者。
11. Sources of Law: The Hierarchy Principle | 法律渊源：层级原理
In the UK, not all laws are equal. A hierarchy theorem arranges them in order of authority. The formula for checking which law prevails is: Statute Law > Common Law, and within Europe, international treaties also hold weight, though the relationship has changed due to Brexit.
在英国，并非所有法律都是平等的。一条层级定理按照权威性对其进行了排序。检查哪项法律优先的公式是：成文法 > 普通法，而在欧洲范围内，国际条约也具有一定分量，尽管由于英国脱欧，这种关系已经发生了变化。
- Statute Law (Acts of Parliament): Made by Parliament, it is the highest form of domestic law.
- 成文法（议会法令）： 由议会制定，是国内最高形式的法律。
- Common Law (Judge-made law): Developed through decisions in courts over centuries, establishing precedents.
- 普通法（法官造法）： 经过几个世纪的法院判决发展而来，确立了先例。
- Constitutional conventions: Unwritten rules based on tradition, not strictly enforceable in court but politically binding.
- 宪法惯例： 基于传统的不成文规则，在法庭上不具有严格的强制执行力，但在政治上具有约束力。
Understanding this hierarchy helps citizens navigate why Parliament can pass a law that overrides a previous court decision, but the courts can still interpret what the law actually means in practice.
了解这个层级能帮助公民理解为什么议会可以通过一项推翻先前法院裁决的法律，但法院仍然可以解释该法律在实践中的实际含义。
12. Local Government: Service Delivery Equation | 地方政府：服务供给方程式
While Parliament deals with national issues, local government applies a formula for delivering community services. The structure of local government can be seen as: Local Needs + Council Decisions + Local Budgets = Community Services.
议会在处理国家事务的同时，地方政府运用一个公式来提供社区服务。地方政府的结构可以看作是：地方需求 + 议会决策 + 地方预算 = 社区服务。
Local councils are responsible for housing, waste collection, schools, parks and social care. Councillors are elected by local residents to make decisions on their behalf. The theorem of subsidiarity suggests that decisions should be taken at the level as close to the citizen as possible, ensuring that local knowledge shapes local outcomes. This demonstrates that politics operates not just at Westminster but in every town hall and community centre.
地方议会负责住房、垃圾收集、学校、公园和社会关怀。地方议员由当地居民选举产生，代表他们做决策。辅助性原则定理提出，决策应尽可能在最接近公民的层面作出，确保地方知识塑造地方成果。这表明政治不仅在西敏寺运作，也在每一个市政厅和社区中心运作。
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