函
Character learning workspace

hán · correspondence

Master the form, understand its parts, and learn how it behaves in real Chinese.

HSK 3.0 · Level 7-9
Watch · inspect · write

Learn every stroke in 函

Replay the complete order, pause on difficult movements, inspect one stroke at a time, then write it yourself with live correction.

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Stroke graphics: Make Me a Hanzi / Arphic Public License
Step-by-step explorer

See how 函 is constructed

Switch between the accumulated form and the isolated movement of each stroke.

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Writing notes

Shape and proportion

8Total strokes

Count each continuous pen movement once, including turns and hooks.

Bottom enclosureCharacter structure

Keep the outer frame stable without crowding the enclosed strokes.

凵Key radical

Use the highlighted radical in the animation as a visual anchor for remembering the form.

Print and practise

Download a 函 writing sheet

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Includes the stroke sequence, progressive tracing, and blank writing squares. Generated locally in your browser.

Vocabulary in context

Common words with 函

Open a word for its full breakdown, or listen before reading the meaning.

hánWords pronounced hán
Read and listen

Example sentences

Notice where 函 sits in each complete thought.

Tā xiě le yì fēng xìn hán rèn zhēn dì tǎo lùn le nàge shì qíng.他写了一封信函认真地讨论了那个事情。

He wrote a letter dealing with the matter in all seriousness.

Source: Tatoeba #2410910 · CC BY 2.0 FR
Èr cì hán shù zài zhè lǐ shì bù kě yòng de.二次函数在这里是不可用的。

A quadratic function cannot be used here.

Source: Tatoeba #2467695 · CC BY 2.0 FR
Nǐ gěi duō shǎo rén fā le yāo qǐng hán?你給多少人發了邀請函?

How many people did you send invitations to?

Source: Tatoeba #10609040 · CC BY 2.0 FR
Kě shì nǐ de hán shù bù fú hé lì pǔ xī cí tiáo jiàn!可是你的函数不符合利普希茨条件!

But your function isn't Lipschitz continuous!

Source: Tatoeba #403594 · CC BY 2.0 FR
Hēi, xiān shēng, hēi bǎn shàng de bú shì zhǐ shù hán shù, ér shì sān jiǎo hán shù.嗨,先生,黑板上的不是指数函数,而是三角函数。

Hey, sir, the function on the blackboard is not exponential, but trigonometric.

Source: Tatoeba #469488 · CC BY 2.0 FR
Yóu yú yì xiē xiě dé zāo gāo de hán shù, xì tǒng dà duō shù qíng kuàng xià bù wěn dìng.由于一些写得糟糕的函数,系统大多数情况下不稳定。

In consequence of some badly coded functions, the system is unstable most of the time.

Source: Tatoeba #2915512 · CC BY 2.0 FR
Turn reference into recall

How to study 函 in context

  1. Say hán, then recall the core meaning: correspondence.
  2. Write all 8 strokes while keeping the bottom enclosure balanced.
  3. Use it in 函人 (hán rén), meaning “armor maker”.
  4. Read the complete sentence aloud once, then cover the translation and explain how 函 works in that context.

Definitions and traditional forms are compiled from Make Me a Hanzi, HSK curriculum data, and CC-CEDICT. Sourced example sentences link to Tatoeba; editorial examples are labeled separately. Review data sources and licenses.