📚 Year 9 CAIE Spanish: Formula & Theorem Quick Reference | Year 9 CAIE 西班牙语：公式定理速查手册
In Spanish, just like mathematics has formulas to build equations, language has its own "formulas" to construct sentences. These are the essential grammar rules, verb conjugation patterns, and structural laws that you need for Year 9 CAIE Spanish. This handbook gathers the most important “formulas” and “theorems” — from noun-adjective agreement to verb tense constructions — so you can revise them quickly and apply them accurately. Master these, and you’ll be able to solve any sentence-building problem that comes your way.
在西班牙语中，就像数学有构建方程式的公式一样，语言也有构建句子的“公式”。这些是 Year 9 CAIE 西班牙语所需的必要语法规则、动词变位模式和结构法则。这本手册汇集了最重要的“公式”和“定理”——从名词与形容词的一致性到动词时态结构——以便你快速复习并准确应用。掌握这些，你就能解决遇到的任何造句问题。
1. Gender & Number Formula | 名词性别与单复数公式
Every Spanish noun has a gender — masculine or feminine — and a number — singular or plural. The general formula is:
Noun ending in -o → masculine; Noun ending in -a → feminine.
Exceptions exist (e.g., el día is masculine, la mano is feminine), but this rule covers the vast majority. To form plurals, add -s if the noun ends in a vowel, and -es if it ends in a consonant. Remember: the article must match. Masculine singular: el; feminine singular: la; masculine plural: los; feminine plural: las.
每个西班牙语名词都有性别——阳性或阴性——以及单复数。一般公式为：
以 -o 结尾的名词 → 阳性；以 -a 结尾的名词 → 阴性。
存在例外（例如 el día 是阳性，la mano 是阴性），但这条规则涵盖绝大多数情况。构成复数时，若名词以元音结尾则加 -s，若以辅音结尾则加 -es。记住：冠词必须匹配。阳性单数：el；阴性单数：la；阳性复数：los；阴性复数：las。
2. Article–Noun–Adjective Concord Theorem | 冠词–名词–形容词一致性定理
In Spanish, articles, nouns, and adjectives must all agree in gender and number. This is a strict rule. Example: el libro rojo (the red book) – all masculine singular. las casas blancas (the white houses) – all feminine plural. When an adjective ends in -o, change it to -a for feminine, and add -s or -es for plural. Adjectives ending in -e or a consonant usually have the same form for both genders, but still add -s or -es for plural. This agreement formula is non-negotiable; it applies to every descriptive sentence you write.
在西班牙语中，冠词、名词和形容词必须在性别和数上保持一致。这是一条严格规则。示例：el libro rojo（红色的书）——全部为阳性单数。las casas blancas（白色的房子）——全部为阴性复数。当形容词以 -o 结尾时，阴性变为 -a，复数加 -s 或 -es。以 -e 或辅音结尾的形容词通常两种性别形式相同，但复数仍需加 -s 或 -es。这个一致性公式不可违背；它适用于你写的每一个描述性句子。
3. Present Tense Regular Verb Conjugation Formulas | 现在时规则动词变位公式
Regular verbs in the present tense follow three patterns depending on their infinitive ending: -ar, -er, -ir. Here are the formulas — think of them as stem + ending code.
现在时规则动词根据不定词尾 -ar、-er、-ir 有三种模式。以下是公式——可视为词干 + 词尾代码。
| Subject | -ar (hablar) | -er (comer) | -ir (vivir) |
|---|---|---|---|
| yo | -o (hablo) | -o (como) | -o (vivo) |
| tú | -as (hablas) | -es (comes) | -es (vives) |
| él/ella/usted | -a (habla) | -e (come) | -e (vive) |
| nosotros/nosotras | -amos (hablamos) | -emos (comemos) | -imos (vivimos) |
| vosotros/vosotras | -áis (habláis) | -éis (coméis) | -ís (vivís) |
| ellos/ellas/ustedes | -an (hablan) | -en (comen) | -en (viven) |
To apply the formula, drop the infinitive ending (-ar, -er, -ir) to find the stem, then add the appropriate ending from the table.
应用公式时，去掉不定词尾（-ar、-er、-ir）得到词干，然后从表中添加相应的词尾。
4. Key Irregular Verbs in Present Tense | 现在时关键不规则动词
Some verbs defy the regular formulas and must be memorised as "special theorems". The most important for Year 9 are: ser (to be), estar (to be), tener (to have), ir (to go), hacer (to do/make), and jugar (to play). Their patterns:
有些动词不符合规则公式，必须当作“特殊定理”来记忆。Year 9 最重要的有：ser（是）、estar（在/是）、tener（有）、ir（去）、hacer（做）和 jugar（玩耍）。它们的模式如下：
ser: yo soy, tú eres, él/ella/usted es, nosotros somos, vosotros sois, ellos/ellas/ustedes son.
estar: yo estoy, tú estás, él/ella/usted está, nosotros estamos, vosotros estáis, ellos/ellas/ustedes están.
tener: yo tengo, tú tienes, él/ella/usted tiene, nosotros tenemos, vosotros tenéis, ellos/ellas/ustedes tienen.
ir: yo voy, tú vas, él/ella/usted va, nosotros vamos, vosotros vais, ellos/ellas/ustedes van.
hacer: yo hago, tú haces, él/ella/usted hace, nosotros hacemos, vosotros hacéis, ellos/ellas/ustedes hacen.
jugar (u→ue stem change): yo juego, tú juegas, él/ella/usted juega, nosotros jugamos, vosotros jugáis, ellos/ellas/ustedes juegan.
请注意，jugar 是一个 u→ue 词干变化动词，在除 nosotros 和 vosotros 之外的所有形式中，u 变为 ue。像这样的词干变化动词可以归入一个子定理：e→ie、o→ue 等。
Notice that jugar vosotros. Stem-changing verbs like this can be grouped as a sub-theorem: e→ie, o→ue, etc.
5. Definite and Indefinite Article Formulas | 定冠词与不定冠词公式
The definite article (the) follows gender and number. The indefinite article (a/an/some) also does. The formulas are:
定冠词（the）遵循性别和数。不定冠词（a/an/some）也是如此。公式为：
| Definite | Indefinite | |
|---|---|---|
| Masculine singular | el | un |
| Feminine singular | la | una |
| Masculine plural | los | unos |
| Feminine plural | las | unas |
Use the correct article before every noun. A special note: when a feminine singular noun begins with a stressed 'a' or 'ha' sound, use el instead of la for the definite article (e.g., el agua), but the noun remains feminine for adjective agreement.
在每一个名词前使用正确的冠词。特别注意：当一个阴性单数名词以重读的 'a' 或 'ha' 音开头时，定冠词用 el 代替 la（例如 el agua），但名词在形容词一致中仍为阴性。
6. The "To Be" Duality Theorem: Ser vs Estar | “是”的二元定理：Ser 与 Estar
Spanish has two verbs for "to be", and their usage follows clear formulas. Ser is used for permanent characteristics, identity, origin, time, and occupation. Estar is used for location, temporary states, conditions, and the progressive. Think: "How you are and where you are, always use estar." For everything else definitive, use ser. A helpful mnemonic: DOCTOR (Description, Occupation, Characteristic, Time, Origin, Relationship) for ser; PLACE (Position, Location, Action, Condition, Emotion) for estar.
西班牙语有两个表示“是”的动词，其用法遵循明确公式。Ser 用于永久特征、身份、来源、时间和职业。Estar 用于地点、暂时状态、条件和进行时。记住：“How you are and where you are, always use estar.” 对于其他确定的事物，使用 ser。一个有助记作用的记忆法：DOCTOR（描述、职业、特征、时间、来源、关系）用 ser；PLACE（位置、地点、动作、状况、情绪）用 estar。
7. Possessive Adjective Formula | 物主形容词公式
Possessive adjectives (my, your, his/her, our, their) must agree in number with the noun they modify, and 'nuestro/vuestro' also agree in gender. The formula table:
物主形容词（my、your、his/her、our、their）必须与所修饰的名词在数上一致，且 'nuestro/vuestro' 还在性上一致。公式表：
| English | Singular | Plural |
|---|---|---|
| my | mi | mis |
| your (tú) | tu | tus |
| his/her/your (usted) | su | sus |
| our | nuestro / nuestra | nuestros / nuestras |
| your (vosotros) | vuestro / vuestra | vuestros / vuestras |
| their/your (ustedes) | su | sus |
These come before the noun: mi amigo (my friend), nuestros libros (our books). Do not confuse 'tu' (your) with 'tú' (you, subject pronoun).
这些位于名词之前：mi amigo（我的朋友）、nuestros libros（我们的书）。不要混淆 'tu'（你的）和 'tú'（你，主格代词）。
8. Direct and Indirect Object Pronoun Placement Theorems | 直接宾语与间接宾语代词放置定理
Object pronouns replace the noun that receives the action (direct) or to whom the action is done (indirect). Their forms:
Direct: me, te, lo/la, nos, os, los/las.
Indirect: me, te, le, nos, os, les.
The placement formula: usually before a conjugated verb (e.g., Lo veo – I see him/it), or attached to the end of an infinitive or gerund (e.g., Voy a verlo – I’m going to see him; Estoy viéndolo – I’m watching it). When both direct and indirect pronouns appear together, the indirect goes first: Te lo doy (I give it to you). If both start with 'l', change 'le' or 'les' to 'se': Se lo doy (I give it to him/her/them).
宾格代词替换接受动作的名词（直接宾语）或动作的接受者（间接宾语）。其形式：
直接：me, te, lo/la, nos, os, los/las。
间接：me, te, le, nos, os, les。
放置公式：通常 在变位动词之前（例如 Lo veo – 我看见他/它），或者 附着在不定式或副动词末尾（例如 Voy a verlo – 我要去看他；Estoy viéndolo – 我正在看它）。当直接和间接宾格代词同时出现时，间接在前：Te lo doy（我给你那个）。如果两个都以 'l' 开头，将 'le' 或 'les' 改为 'se'：Se lo doy（我给他/她/他们那个）。
9. Present Progressive Formula | 现在进行时公式
The present progressive describes actions happening right now. The construction formula is:
Estar (conjugated) + gerund (present participle).
Gerund formation: for -ar verbs, drop -ar and add -ando (hablar → hablando); for -er and -ir verbs, drop -er/-ir and add -iendo . When a pronoun is used, it can go before estar or attached to the gerund with an accent: Lo estoy haciendo = Estoy haciéndolo.
现在进行时描述正在发生的动作。结构公式为：
Estar（变位）+ 副动词（现在分词）。
副动词构成：对于 -ar 动词，去掉 -ar 并加 -ando（hablar → hablando）；对于 -er 和 -ir 动词，去掉 -er/-ir 并加 -iendo（comer → comiendo；vivir → viviendo）。一些词干变化动词有拼写变化（例如 dormir → durmiendo，pedir → pidiendo）。当使用代词时，可放在 estar 之前或附着于副动词末尾并加重音符号：Lo estoy haciendo = Estoy haciéndolo。
10. Simple Future (IR + A + INFINITIVE) Theorem | 简单将来时（IR + A + 不定式）定理
To talk about future plans, Year 9 students must master this formula:
IR (conjugated in present) + a + infinitive.
This is universally applicable and predictable. Example: Voy a estudiar (I am going to study). ¿Vas a comer? (Are you going to eat?). No stem changes or irregulars beyond the conjugation of ir itself. It's a "plug and play" formula — just conjugate ir correctly and add the infinitive.
要谈论未来计划，Year 9 学生必须掌握这个公式：
IR（现在时变位）+ a + 不定式。
这个公式通用且可预测。示例：Voy a estudiar（我要学习）。¿Vas a comer?（你要吃吗？）除了 ir 本身的变位外，没有词干变化或不规则。这是一个“即插即用”的公式——只需正确变位 ir 并加上不定式。
11. Preterite (Simple Past) Regular Formulas | 简单过去时（一般过去时）规则公式
The preterite is used for completed actions in the past. For regular verbs, apply these endings to the stem:
一般过去时用于过去已完成的动作。对于规则动词，将以下词尾添加到词干：
| Subject | -ar (hablar) | -er/-ir (comer/vivir) |
|---|---|---|
| yo | -é (hablé) | -í (comí / viví) |
| tú | -aste (hablaste) | -iste (comiste / viviste) |
| él/ella/usted | -ó (habló) | -ió (comió / vivió) |
| nosotros/nosotras | -amos (hablamos) | -imos (comimos / vivimos) |
| vosotros/vosotras | -asteis (hablasteis) | -isteis (comisteis / vivisteis) |
| ellos/ellas/ustedes | -aron (hablaron) | -ieron (comieron / vivieron) |
Watch out for accent marks on yo and él forms. Some verbs have irregular stems in the preterite (e.g., tener → tuv-, estar → estuv-, hacer → hic-), but the endings remain the same as regular -er/-ir preterite endings except for a few peculiarities (no accents on yo/él for some).
注意 yo 和 él 形式的重音符号。一些动词在简单过去时中有不规则词干（例如 tener → tuv-，estar → estuv-，hacer → hic-），但词尾与规则 -er/-ir 的简单过去时词尾相同，除了少数特殊情况（某些情况下 yo/él 没有重音）。
12. The "Personal 'a' Law" | 个人见证法则 “a”
When the direct object of a verb is a specific person or a pet (an animal with emotional attachment), Spanish requires the preposition a before that object. This is called the personal a. Formula: Verb + a + specific person/pet. Example: Veo a mi amigo. (I see my friend.) Busco al profesor. (I’m looking for the teacher — note a + el = al.) This rule does not apply when the direct object is an unspecified person or a thing. Remember: the personal a has no exact English equivalent, but it’s a mandatory structural mark in Spanish.
当动词的直接宾语是一个特定的人或宠物（有感情依附的动物）时，西班牙语要求在该宾语前使用介词 a。这被称为 personal a。公式：动词 + a + 特定的人/宠物。 示例：Veo a mi amigo.（我看见我的朋友。）Busco al profesor.（我在找老师——注意 a + el = al。）当直接宾语是不指定的人或物体时，此规则不适用。记住：personal a 在英语中没有完全对应的词，但它是西班牙语中必不可少的结构标记。
Published by TutorHao | Spanish Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图