# OCME · 知識與練習查找

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

100 results; page 3/4.

## 第 16451 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0001`; number: 16451
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0001/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0001/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0001.json)

## 第 16452 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0002`; number: 16452
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0002/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0002/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0002.json)

## 第 16453 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0003`; number: 16453
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0003/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0003/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0003.json)

## 第 16454 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0004`; number: 16454
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0004/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0004/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0004.json)

## 第 16455 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0005`; number: 16455
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0005/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0005/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0005.json)

## 第 16456 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0006`; number: 16456
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0006/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0006/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0006.json)

## 第 16457 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0007`; number: 16457
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0007/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0007/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0007.json)

## 第 16458 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0008`; number: 16458
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0008/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0008/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0008.json)

## 第 16459 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0009`; number: 16459
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0009/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0009/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0009.json)

## 第 16460 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0010`; number: 16460
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0010/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0010/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0010.json)

## 第 16461 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0011`; number: 16461
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0011/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0011/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0011.json)

## 第 16462 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0012`; number: 16462
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0012/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0012/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0012.json)

## 第 16463 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0013`; number: 16463
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0013/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0013/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0013.json)

## 第 16464 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0014`; number: 16464
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0014/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0014/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0014.json)

## 第 16465 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0015`; number: 16465
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0015/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0015/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0015.json)

## 第 16466 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0016`; number: 16466
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0016/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0016/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0016.json)

## 第 16467 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0017`; number: 16467
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0017/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0017/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0017.json)

## 第 16468 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0018`; number: 16468
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0018/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0018/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0018.json)

## 第 16469 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0019`; number: 16469
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0019/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0019/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0019.json)

## 第 16470 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0020`; number: 16470
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0020/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0020/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0020.json)

## 第 16471 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0021`; number: 16471
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0021/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0021/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0021.json)

## 第 16472 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0022`; number: 16472
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0022/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0022/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0022.json)

## 第 16473 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0023`; number: 16473
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0023/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0023/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0023.json)

## 第 16474 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0024`; number: 16474
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0024/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0024/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0024.json)

## 第 16475 題：實向量子空間

- ID: `q-20261014-advance-20261101-r01-vector-subspace-0025`; number: 16475
- Processing: second_context_reviewed
- MKO: [mko-vector-subspace](/zh-Hant/mko/mko-vector-subspace/)
- Family: [qf-mod32-subspace-line-membership](/zh-Hant/explore/?family=qf-mod32-subspace-line-membership)
- Batch: [batch-20261014-advance-20261101-r01-vector-subspace-foundations](/zh-Hant/explore/?batch=batch-20261014-advance-20261101-r01-vector-subspace-foundations)
- [Derivation](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0025/) / [Markdown](/zh-Hant/questions/q-20261014-advance-20261101-r01-vector-subspace-0025/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261101-r01-vector-subspace-0025.json)

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