---
id: vocab-45-15266-微分
libId: 15266
word: 微分
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
difficulty: '3'
translations:
  english: differential
  french: Différentiel
  portuguese: diferencial
  spanish: Diferenciado
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
strokes:
  total: 0
  radicals:
    微: '32'
    分: '49'
  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
media:
  audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分_中文.MP3
  image: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分.jpeg
  strokeOrderStatic: null
  strokeOrderDynamic: null
learning:
  hskLevel: null
  frequency: null
  collocations: []
stats:
  sentenceCount: 2
  describeCount: 0
  characterCount: 2
completeness:
  hasBasicInfo: true
  hasTranslation: true
  hasAudio: true
  hasImage: true
  hasStrokeData: true
  hasExampleSentences: true
missingFields: []
orderNum: 0
source:
  mysqlId: 15266
  mysqlTable: zwxx_vocabulary
  exportedAt: '2026-03-06T19:14:43.960909'
---

# --sentences--

## vs-48343
**sentence**: 他正在学习微分的计算方法。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分_句子1.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分_句子1.MP3)

## vs-48344
**sentence**: 微分可以帮助我们研究函数。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分_句子2.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/微分/微分_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)

# --media--

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

# --notes--

## 数据完整性

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