交集

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Character Breakdown

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.

Example Sentences

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

The overlap in our interests is very small.

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