---
id: vocab-45-15267-微分方程
libId: 15267
word: 微分方程
type: vocabulary
dictionary:
  id: dict-45
  name: 科技汉语
  cover: https://zwxx.oss-cn-hangzhou.aliyuncs.com/ykdx/1763093718603科技汉语_4372.png
pinyin: wēi fèn fāng chéng
difficulty: '3'
translations:
  english: 'differential equation '
  french: Équations différentielles
  portuguese: equação diferencial
  spanish: Ecuación diferencial
properties: mingci
characters:
- char: 微
  id: char-1165
  mysqlId: 1165
  radical: '32'
  structure: '1'
  pinyin: '19_135'
  english: Micro
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/微/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%BE%AE.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
- char: 分
  id: char-106
  mysqlId: 106
  radical: '49'
  structure: '8'
  pinyin: '5_48'
  english: Points
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/分/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%88%86.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
- char: 方
  id: char-101
  mysqlId: 101
  radical: '44'
  structure: '14'
  pinyin: '5_9'
  english: Fang
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/方/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%96%B9.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
- char: 程
  id: char-666
  mysqlId: 666
  radical: '124'
  structure: '2'
  pinyin: '3_82'
  english: Cheng
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/程/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A8%8B.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
strokes:
  total: 0
  radicals:
    微: '32'
    分: '49'
    方: '44'
    程: '124'
  dataSource: hanzi-writer
  strokeDataUrls:
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%BE%AE.json
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%88%86.json
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%96%B9.json
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A8%8B.json
media:
  audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_中文.MP3
  image: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程.jpeg
  strokeOrderStatic: null
  strokeOrderDynamic: null
learning:
  hskLevel: null
  frequency: null
  collocations: []
stats:
  sentenceCount: 2
  describeCount: 0
  characterCount: 4
completeness:
  hasBasicInfo: true
  hasTranslation: true
  hasAudio: true
  hasImage: true
  hasStrokeData: true
  hasExampleSentences: true
missingFields: []
orderNum: 0
source:
  mysqlId: 15267
  mysqlTable: zwxx_vocabulary
  exportedAt: '2026-03-06T19:14:43.962893'
---

# --sentences--

## vs-48345
**sentence**: 这个问题可以用微分方程来描述。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_句子1.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_句子1.MP3)

## vs-48346
**sentence**: 解微分方程需要一定的数学基础。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_句子2.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_句子2.MP3)

# --characters--

## 微

- **拼音**: 19_135
- **部首**: 32
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/微/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%BE%AE.json)

## 分

- **拼音**: 5_48
- **部首**: 49
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/分/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%88%86.json)

## 方

- **拼音**: 5_9
- **部首**: 44
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/方/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%96%B9.json)

## 程

- **拼音**: 3_82
- **部首**: 124
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/程/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A8%8B.json)

# --media--

- **配图**: ![微分方程](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程.jpeg)
- **发音**: [音频](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分方程/微分方程_中文.MP3)

# --notes--

## 数据完整性

- ✅ hasBasicInfo
- ✅ hasTranslation
- ✅ hasAudio
- ✅ hasImage
- ✅ hasStrokeData
- ✅ hasExampleSentences