交集

jiāojí

(of diverse emotions) to occur simultaneously; to intermingle

HSK 7

한자 분해

Meaning and Usage

"交集" primarily refers to the intersection or overlap between two or more sets, groups, or concepts. It is commonly used in mathematics to describe the common elements shared by sets. Beyond math, it also describes shared interests, opinions, or characteristics between people or things.

Common Collocations

  • 交集部分 (intersection part): refers to the overlapping section.
  • 交集 (small intersection): used to describe minimal overlap, often in interests or opinions.
  • 交集 (large intersection): indicates significant commonality.

Usage Notes

When using "交集" in everyday conversation, it often implies a comparison or relationship between two entities, highlighting what they share. It is more formal and precise than simply saying "共同" (common points). In math contexts, it is a technical term for set intersection.

Avoiding Confusion

Do not confuse "交集" with "结合" (combination) or "联合" (union), which refer to different types of set operations or relationships. "交集" specifically means the common part shared by all involved sets or groups.

예문

这两个集合的交集是{2, 3}。

Zhè liǎng gè jíhé de jiāojí shì {2, 3}.

The intersection of these two sets is {2, 3}.

我们之间的兴趣交集很小。

Wǒmen zhījiān de xìngqù jiāojí hěn xiǎo.

The overlap in our interests is very small.

讨论的交集部分是解决方案的关键。

Tǎolùn de jiāojí bùfen shì jiějué fāng'àn de guānjiàn.

The overlapping part of the discussion is key to the solution.