A formula is a symbolic representation of a rule or relationship, used for calculation or expressing concepts concisely.
Word in 30 Seconds
- A symbolic rule or relation for calculation.
- Used in math, science, and figurative contexts.
- A concise way to express complex ideas.
Overview
“公式” (gōngshì) 是一个在数学、科学、工程学以及其他需要精确表达的领域中非常重要的词汇。它本质上是一种用符号、数字或字母来表示的固定规则、关系或计算方法。公式的目的是用一种简洁、普遍且易于理解的方式来描述现象、解决问题或进行计算。例如，物理学中的速度公式 v = d/t 描述了速度、距离和时间之间的关系；数学中的一元二次方程求根公式则提供了一种通用的方法来找到方程的解。
“公式”通常被用来指代：
固定的表达或套话：有时也指代不加思考、照本宣科的说法，如“公式化的回答”。
“公式”经常出现在以下语境中：
- 学术教育：在数学、物理、化学等课程中，学生需要学习和记忆大量的公式，并运用它们来解题。
- 科学研究：研究人员利用公式来建立模型、分析数据、预测结果。
- 工程技术：工程师在设计和建造过程中，会依据各种工程公式来确保结构的稳定性和功能的实现。
- 日常生活：虽然不常直接使用，但很多日常计算（如折扣计算、面积计算）背后都隐藏着公式。
- 比喻用法：在讨论商业策略、人际关系、写作技巧等非科学领域时，人们也可能提到“成功公式”、“沟通公式”。
与“公式” (gōngshì) 相关的词汇包括：
- 定理 (dìnglǐ)：定理是经过证明的、为真的命题，通常是数学或逻辑上的普遍真理。公式是表达定理或规律的符号形式，定理是其内容，公式是其载体。例如，“勾股定理”是一个定理，而 a² + b² = c² 是其对应的数学公式。
- 法则 (fǎzé)：法则通常指规定性的规则或方法，不一定需要用符号表达，更侧重于指导行为或操作。例如，“劳动法”、“操作法则”。公式可以看作是一种数学或科学的法则。
- 定律 (dìnglǜ)：定律是经过反复验证、普遍适用的自然规律。例如，“牛顿第二定律”。公式常常用来表达定律，如 F=ma 就是牛顿第二定律的数学公式表达。
- 模式 (móshì)：模式指事物呈现出来的特定形态或结构，比公式更宽泛，可以是形状、行为、布局等。公式可以看作是一种精确的、量化的模式。
Examples
请计算一下这个圆的面积，你需要用到圆周率π的公式。
everydayPlease calculate the area of this circle; you need to use the formula for Pi (π).
物理学家们通过大量的实验数据，最终推导出了描述该现象的数学公式。
academicThrough extensive experimental data, physicists finally derived the mathematical formula describing this phenomenon.
别老用公式化的语言回答，试着真诚地表达你的想法。
informalDon't always use formulaic language in your replies; try to express your thoughts sincerely.
该论文提出了一种新的算法公式，能显著提高数据处理的效率。
formalThis paper proposes a new algorithmic formula that can significantly improve data processing efficiency.
Common Collocations
Common Phrases
运用公式
apply a formula
推导公式
derive a formula
背公式
memorize formulas
公式大全
collection of formulas
Often Confused With
A theorem is a statement proven to be true, a universal truth. A formula is the symbolic expression of a rule or relationship, often used to represent a theorem.
A law is a statement of a natural phenomenon that is always true, verified by experiments. A formula is often the mathematical expression of a law.
Grammar Patterns
How to Use It
Usage Notes
The word '公式' (gōngshì) is primarily used in formal and academic contexts when referring to mathematical or scientific rules. However, it can also be used figuratively in informal settings to describe a fixed pattern or method, sometimes with a slightly negative connotation if implying rigidity.
Common Mistakes
Learners might confuse '公式' (formula) with '定理' (theorem) or '定律' (law). While related, a formula is the symbolic representation, whereas a theorem is a proven statement and a law is a verified natural principle.
Tips
Understand the Logic Behind Formulas
Don't just memorize formulas. Try to understand the logic and derivation behind them. This aids retention and application.
Beware of Over-reliance on Figurative Formulas
While figurative formulas can offer guidance, real-life situations are complex. Avoid treating them as rigid, universally applicable rules.
Emphasis on Precision in Chinese Culture
The concept of '公式' reflects a cultural appreciation for precision, order, and finding efficient methods, evident in both scientific and philosophical thought.
Word Origin
The term '公式' is composed of '公' (gōng), meaning public or common, and '式' (shì), meaning style, form, or pattern. It implies a universally accepted or standard form/pattern.
Cultural Context
The emphasis on clear, concise expression in formulas aligns with a broader cultural value in Chinese thought that appreciates efficiency and order. Finding the right '公式' can be seen as discovering a fundamental truth or an elegant solution.
Memory Tip
Think of a 'formula' as a secret code (公式) using symbols to unlock a solution or understanding, like a recipe for success.
Frequently Asked Questions
4 questions“定理”是经过证明的真命题，是数学或逻辑上的普遍真理。“公式”是用符号、数字或字母表示的数学关系或计算规则，常常用来表达定理的内容。可以说，公式是定理的一种书面表达形式。
虽然我们不常直接说“公式”，但很多日常计算都基于公式。例如，计算打折后的价格、计算房贷利息、计算出行距离等，背后都应用了相应的数学公式。
可以。在非科学领域，“公式”常被用来比喻一种固定的、可复制的模式或方法，例如“成功的公式”、“沟通的公式”。这种用法强调其规律性和有效性。
学习外语没有绝对的“万能公式”，但可以借鉴一些“公式化”的学习方法。例如，掌握基本的语法结构（可以看作是语法公式）、学习常用词汇搭配（词汇公式），以及模仿例句（句型公式）等，都能帮助提高学习效率。
Test Yourself
这个物理实验的目的是验证牛顿第二______。
“牛顿第二定律”是物理学中的一个基本规律，用“定律”最恰当。
以下哪个选项最能体现“公式”的比喻用法？
选项 B 将“公式”用于比喻，指代一种成功的模式或方法，而非严格的数学或科学计算。
请用下列词语构建一个通顺的句子：公式、运用、解决、问题、有效
这个句子结构清晰，表达了运用公式可以有效解决问题的含义。
Score: /3
Summary
A formula is a symbolic representation of a rule or relationship, used for calculation or expressing concepts concisely.
- A symbolic rule or relation for calculation.
- Used in math, science, and figurative contexts.
- A concise way to express complex ideas.
Understand the Logic Behind Formulas
Don't just memorize formulas. Try to understand the logic and derivation behind them. This aids retention and application.
Beware of Over-reliance on Figurative Formulas
While figurative formulas can offer guidance, real-life situations are complex. Avoid treating them as rigid, universally applicable rules.
Emphasis on Precision in Chinese Culture
The concept of '公式' reflects a cultural appreciation for precision, order, and finding efficient methods, evident in both scientific and philosophical thought.
Examples
4 of 4请计算一下这个圆的面积，你需要用到圆周率π的公式。
Please calculate the area of this circle; you need to use the formula for Pi (π).
物理学家们通过大量的实验数据，最终推导出了描述该现象的数学公式。
Through extensive experimental data, physicists finally derived the mathematical formula describing this phenomenon.
别老用公式化的语言回答，试着真诚地表达你的想法。
Don't always use formulaic language in your replies; try to express your thoughts sincerely.
该论文提出了一种新的算法公式，能显著提高数据处理的效率。
This paper proposes a new algorithmic formula that can significantly improve data processing efficiency.
Related Content
This Word in Other Languages
Related Vocabulary
More academic words
缺席
B1The state of being absent from a place or event where one is expected to be, such as a class, meeting, or ceremony.
抽象的
A2Abstract.
抽象地
B1In an abstract manner; conceptually.
艰深
B1Profound; abstruse; recondite.
学术性
A2Academic; scholarly; relating to education and scholarship.
学术化
B1Academic; characterized by formal study or research.
学术会议
A2Academic conference; a formal meeting for academic discussions.
学术交流
B1Exchange of ideas, information, and research among scholars.
学术期刊
B1A periodical publication containing scholarly articles.
教务处
A2Academic affairs office; department handling educational administration.
