---
id: vocab-45-15129-积分
libId: 15129
word: 积分
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: jī fèn
difficulty: '3'
translations:
  english: integral
  french: Complet
  portuguese: integral
  spanish: Completo
properties: mingci,dongci
characters:
- char: 积
  id: char-724
  mysqlId: 724
  radical: '124'
  structure: '2'
  pinyin: '8_25'
  english: Product
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/积/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A7%AF.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:
    积: '124'
    分: '49'
  dataSource: hanzi-writer
  strokeDataUrls:
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A7%AF.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/积分/积分_中文.MP3
  image: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分.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: 15129
  mysqlTable: zwxx_vocabulary
  exportedAt: '2026-03-06T19:14:43.692609'
---

# --sentences--

## vs-48069
**sentence**: 积分是微积分的基本概念之一。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分_句子1.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分_句子1.MP3)

## vs-48070
**sentence**: 这个函数的积分结果是1。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分_句子2.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分_句子2.MP3)

# --characters--

## 积

- **拼音**: 8_25
- **部首**: 124
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/积/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E7%A7%AF.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**: ![积分](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分.jpeg)
- **发音**: [音频](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/积分/积分_中文.MP3)

# --notes--

## 数据完整性

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