📚 Year 12 AQA German: Formula & Theorem Quick Reference Handbook | Year 12 AQA 德语：公式定理速查手册
In language learning, the term ‘formula’ refers to reliable grammatical patterns and sentence structures that, once memorised, can be applied like mathematical equations to produce correct German. This handbook condenses the essential rules for Year 12 AQA German into a set of clear, quick-reference formulas covering cases, verb conjugations, word order and connectors. Treat each pattern as a theorem: learn the rule, check the conditions, and generate accurate language every time.
在语言学习中，“公式”指的是可靠的语法规律和句型结构，一旦记住便可以像数学方程一样套用，生成正确的德语。这份手册将 Year 12 AQA 德语的核心规则浓缩为一组明确的速查公式，涵盖格、动词变位、语序和连接词等。把每一项模式当作定理：掌握规则、审视条件，每次都能产出精确的语言。
1. Noun Gender & Case Endings – Definite and Indefinite Articles | 名词词性与格词尾 – 定冠词与不定冠词
Every German noun carries a gender (der, die, das) and changes form for the four cases: nominative (subject), accusative (direct object), dative (indirect object) and genitive (possession). The definite article endings form a fundamental pattern. Use this table as a quick-lookup theorem for articles.
每个德语名词都有词性 (der, die, das) 并因四个格而变形：主格（主语）、宾格（直接宾语）、与格（间接宾语）和属格（所属）。定冠词词尾构成一套基本规律。将这张表格当作冠词的速查定理。
| Case | Masculine | Neuter | Feminine | Plural |
|---|---|---|---|---|
| Nominative | der | das | die | die |
| Accusative | den | das | die | die |
| Dative | dem | dem | der | den |
| Genitive | des | des | der | der |
The same endings apply to indefinite articles (ein, eine, ein) and possessive pronouns (mein, dein, etc.) with slight adjustments: nominative masculine and neuter have no ending in the base form (ein, mein). Learn the definite article theorem first, then adapt.
同样的词尾适用于不定冠词 (ein, eine, ein) 和物主代词 (mein, dein 等)，但需略微调整：主格阳性和中性词尾为零 (ein, mein)。先掌握定冠词定理，再进行适配。
2. Adjective Endings Formula | 形容词词尾公式
German adjective endings follow three distinct patterns depending on whether the adjective is preceded by a definite article, an indefinite article, or no article at all. The formula is: the adjective must reflect the gender, case and number when the preceding word does not already show it clearly. In practice, use the weak ending (-e or -en) after a definite article, the strong ending (-er, -e, -es, -en, -em) when standing alone, and a mixture after an indefinite article.
德语形容词词尾依据前面是否带定冠词、不定冠词或零冠词而呈现三种模式。其公式为：当前面的词没有明确显示性、格、数时，形容词必须加以体现。实践中，定冠词后用弱变化词尾 (-e 或 -en)，无冠词时用强变化词尾 (-er, -e, -es, -en, -em)，不定冠词后则是混合变化。
Weak endings theorem: after der/das/die/die in any case, the adjective adds -e in nominative singular (all genders) and accusative feminine/neuter; everywhere else it adds -en. Strong endings theorem: the adjective takes exactly the same endings as the definite article except genitive masculine/neuter where it uses -en.
弱变化定理：在 der/das/die/die 任一格之后，形容词在主格单数（各性）和宾格阴性/中性后加 -e；其余一律加 -en。强变化定理：形容词采用与定冠词完全相同的词尾，仅属格阳性/中性处使用 -en。
3. Personal Pronouns in Different Cases | 不同格的人称代词
Personal pronouns (I, you, he, she, it, we, they, you formal) change form for nominative, accusative and dative. This is a closed set to memorise as a fixed formula. The genitive is rare in modern German and omitted here.
人称代词 (我、你、他、她、它、我们、他们、您) 在主格、宾格和与格中形式变化。这是一套需要作为固定公式记忆的封闭集合。属格在现代德语中极少使用，此处省略。
| Person | Nominative | Accusative | Dative |
|---|---|---|---|
| 1st sing | ich | mich | mir |
| 2nd sing (informal) | du | dich | dir |
| 3rd sing masc | er | ihn | ihm |
| 3rd sing fem | sie | sie | ihr |
| 3rd sing neut | es | es | ihm |
| 1st plur | wir | uns | uns |
| 2nd plur (informal) | ihr | euch | euch |
| 3rd plur / formal | sie/Sie | sie/Sie | ihnen/Ihnen |
4. Present Tense Verb Conjugation Patterns | 现在时动词变位规律
The regular present tense formula: take the verb stem (infinitive minus -en or -n) and add these endings. For stem-changing strong verbs (e.g., fahren, lesen), the e → i(e) and a → ä shifts occur only in the du and er/sie/es forms. Use this theorem first, then memorise common irregulars.
规则现在时公式：取动词词干 (不定式去掉 -en 或 -n) 并添加以下词尾。对于换干强变化动词 (如 fahren、lesen)，元音 e→i(e) 和 a→ä 的变化仅出现在 du 和 er/sie/es 形式。先运用此定理，再记忆常用不规则动词。
ich: stem + e | du: stem + st | er/sie/es: stem + t | wir: stem + en | ihr: stem + t | sie/Sie: stem + en
Examples: machen → ich mache, du machst, er macht; arbeiten (stem: arbeit-) → du arbeitest (extra e for pronunciation).
示例：machen → ich mache, du machst, er macht；arbeiten (词干 arbeit-) → du arbeitest (为方便发音添加 e)。
5. Perfect Tense Formula | 完成时公式
The Perfekt is the main past tense in spoken German. The formula is: haben/sein (conjugated in present) + past participle (ge- + verb stem + -t for weak verbs; ge- + changed stem + -en for strong verbs). The auxiliary ‘sein’ is used for verbs of motion or state change (e.g., gehen, fahren, aufstehen) and a few others.
完成时是德语口语中的主要过去时。公式为：haben/sein (现在时变位) + 过去分词 (弱变化动词：ge- + 词干 + -t；强变化动词：ge- + 变换词干 + -en)。助动词 sein 用于运动或状态变化动词 (如 gehen、fahren、aufstehen) 及少数其他动词。
Inseparable prefix verbs (ver-, be-, er-, etc.) drop the ge-: verkaufen → verkauft. Separable prefix verbs place -ge- between prefix and stem: aufmachen → aufgemacht. Mixed verbs (e.g., bringen) have stem change and -t: gebracht.
不可分前缀动词 (ver-, be-, er- 等) 去掉 ge-：verkaufen → verkauft。可分前缀动词则将 -ge- 置于前缀与词干之间：aufmachen → aufgemacht。混合变化动词 (如 bringen) 词干变化并用 -t：gebracht。
6. Modal Verbs & Sentence Frame | 情态动词与句型框架
Modal verbs (koennen, duerfen, muessen, sollen, wollen, moechten) reshape the word order. The formula: conjugated modal verb in position 2, the main verb in infinitive form goes to the very end of the clause. This creates a bracket (Satzklammer) around the middle information.
情态动词 (können, dürfen, müssen, sollen, wollen, möchten) 重塑语序。公式为：变位的情态动词位于第二位，主动词以不定式形式置于句末。这样就形成了包裹中间信息的框形结构。
Example: Ich kann heute Deutsch lernen. (I can learn German today.) Past simple of modals uses the imperfect: konnte, musste etc., but the formula remains the same in subordinate clauses.
示例：Ich kann heute Deutsch lernen. 情态动词的过去时使用过去式：konnte, musste 等，但同样的公式也适用于从句。
7. Word Order Rules – Main Clauses & Subordinate Clauses | 语序规则 – 主句与从句
The ‘verb second’ theorem: in a main clause, the conjugated verb is the second element (idea, not necessarily the second word). The first element can be the subject, an adverb, a time phrase, or an object. If something other than the subject begins the clause, the subject moves after the verb.
“动词二位”定理：在主句中，变位动词是第二个成分 (不是第二个词，是第二个句法位置)。句首可以是主语、副词、时间短语或宾语。若非主语开头，主语则移至动词之后。
Formula: (Time/Place/Subject…) + V₂ + Subject (if not first) + … . For subordinate clauses, the verb swarm moves to the end: connector + subject + … + Vall. This word-order theorem is critical for AQA assessment.
公式：(时间/地点/主语…) + V₂ + 主语 (若非句首) + … 。在从句中，动词全部涌向句末：连接词 + 主语 + … + 全部动词。这一语序定理对 AQA 考试至关重要。
8. Subordinate Clause Connectors (weil, dass, wenn, etc.) | 从句连接词（因为、那个、当……时等）
The most tested subordinating conjunctions push the conjugated verb to the end. Memorise them as formula triggers: weil (because) – gibt reason; dass (that) – introduces reported speech or facts; wenn (if/when) – for conditions and recurring events; obwohl (although); da (as/since); damit (so that); indem (by …-ing). Each follows the pattern: conjunction + subject + other elements + Vend.
最常考查的连词会将变位动词推至句末，务必当作公式触发器记忆：weil (因为) – 给出理由；dass (that) – 引导间接引语或事实；wenn (如果/当) – 用于条件或反复发生的事件；obwohl (虽然)；da (由于)；damit (以便)；indem (通过……)。每个连词遵循模式：连词 + 主语 + 其他成分 + V末。
Example: Ich glaube, dass er morgen kommt. In a multi-verb situation (e.g., with a modal), the finite verb goes to the very end after any infinitives: …, dass er das Haus verkaufen muss.
示例：Ich glaube, dass er morgen kommt. 在多动词情境下 (如带有情态动词)，限定动词移至不定式之后的最末端：…, dass er das Haus verkaufen muss。
9. Preposition Case Triggers | 介词支配的格
Prepositions in German demand a specific case, and this is a pure memory formula. Group them: accusative-only (durch, für, gegen, ohne, um), dative-only (aus, bei, mit, nach, seit, von, zu), genitive (waehrend, trotz, wegen, [an]statt) and two-way (in, an, auf, unter, ueber, vor, hinter, neben, zwischen). The two-way prepositions use accusative for motion towards (wohin?) and dative for static location (wo?).
德语介词要求特定的格，这属于纯粹的记忆公式。将介词分组：只跟宾格 (durch, für, gegen, ohne, um)，只跟与格 (aus, bei, mit, nach, seit, von, zu)，属格 (während, trotz, wegen, [an]statt) 以及交互介词 (in, an, auf, unter, über, vor, hinter, neben, zwischen)。交互介词在表示运动方向 (wohin?) 时支配宾格，表示静止位置 (wo?) 时支配与格。
Theorem: if a place change occurs (putting, going into), accusative; if location is fixed (being in), dative. Memorise the question-words: Wohin? → accusative, Wo? → dative.
定理：若发生位置转移 (放入、走入)，用宾格；若位置固定 (位于)，用与格。牢记提问词：Wohin? → 宾格, Wo? → 与格。
10. Comparative & Superlative Structure | 比较级与最高级结构
Comparative formula: adjective + -er (plus Umlaut on common one-syllable stems such as groß → größer, alt → älter). Following the comparative, use ‘als’ for ‘than’. Superlative formula: am + adjective + -(e)sten (am größten, am kleinsten) for adverbial use; der/die/das + adjective + -ste for attributive: der größte Mann.
比较级公式：形容词 + -er (常见单音节词干加元音变音，如 groß→größer, alt→älter)。比较级后使用 ‘als’ 表“比”。最高级公式：状语用法为 am + 形容词 + -(e)sten (am größten, am kleinsten)；定语用法为 der/die/das + 形容词 + -ste：der größte Mann。
Exception: some irregulars – gut → besser → am besten; gern → lieber → am liebsten; viel → mehr → am meisten. Treat these as ready-made formulas.
例外：一些不规则词 – gut → besser → am besten; gern → lieber → am liebsten; viel → mehr → am meisten。把这些当作现成公式对待。
11. Infinitive with ‘zu’ and ‘um … zu’ | 带zu不定式和um…zu结构
When an infinitive clause follows certain verbs, nouns or adjectives, use ‘zu’ before the infinitive. Formula: main clause + , + … + zu + infinitive. With separable verbs, -zu- sits between prefix and stem: aufzumachen, einzukaufen. The structure ‘um … zu’ expresses purpose (in order to) and is placed at the end: ich fahre in die Stadt, um einzukaufen.
当不定式从句跟在特定动词、名词或形容词后时，在不定式前加 zu。公式：主句 + , + … + zu + 不定式。可分动词中，-zu- 位于前缀与词干之间：aufzumachen, einzukaufen。结构 ‘um … zu’ 表达目的（为了），置于句末：ich fahre in die Stadt, um einzukaufen。
This formula mirrors the subordinate clause behaviour: all other elements precede the infinitive with ‘zu’, and a comma is mandatory. Note: modal verbs and verbs like helfen, lassen, sein typically omit ‘zu’.
这一公式反映从句的行为：所有其他成分置于带 zu 的不定式之前，且必须加逗号。注意：情态动词以及 helfen, lassen, sein 等动词通常省略 zu。
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