---
id: vocab-45-15134-极值
libId: 15134
word: 极值
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: jí zhí
difficulty: '3'
translations:
  english: extremum
  french: Valeur extrême
  portuguese: extremo
  spanish: Valor extremo
properties: mingci
characters:
- char: 极
  id: char-727
  mysqlId: 727
  radical: '10'
  structure: '2'
  pinyin: '8_90'
  english: Pole
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/极/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%9E%81.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
- char: 值
  id: char-921
  mysqlId: 921
  radical: '62'
  structure: '2'
  pinyin: '23_90'
  english: Value
  resources:
    audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/值/speak.mp3
    strokeData: https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%80%BC.json
    strokeOrderStatic: null
    strokeOrderDynamic: null
  strokeCount: 0
strokes:
  total: 0
  radicals:
    极: '10'
    值: '62'
  dataSource: hanzi-writer
  strokeDataUrls:
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%9E%81.json
  - https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%80%BC.json
media:
  audio: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值_中文.MP3
  image: https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值.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: 15134
  mysqlTable: zwxx_vocabulary
  exportedAt: '2026-03-06T19:14:43.702363'
---

# --sentences--

## vs-48079
**sentence**: 极值包括极大值和极小值。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值_句子1.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值_句子1.MP3)

## vs-48080
**sentence**: 这个函数在定义域内有两个极值。
**audio**: [https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值_句子2.MP3](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/科技汉语/phase/极值/极值_句子2.MP3)

# --characters--

## 极

- **拼音**: 8_90
- **部首**: 10
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/极/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E6%9E%81.json)

## 值

- **拼音**: 23_90
- **部首**: 62
- **音频**: [发音](https://zwxx.oss-cn-hangzhou.aliyuncs.com/rongmeiti/国际中文/word/值/speak.mp3)
- **笔顺数据**: [JSON](https://zwxx.oss-cn-hangzhou.aliyuncs.com/hanzi/hanzi-writer-data/%E5%80%BC.json)

# --media--

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

# --notes--

## 数据完整性

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