GAOKAO INTELLIGENCE / EXAM TRENDS

2022–2024 北京卷数学 · 函数与导数命题趋势

用历史真题回答三件事:发生了什么、证据在哪里、接下来练什么。分析基于当前已收录公开样本,不等同于全国全量试卷。

9public past questions
3papers
3years with samples
3structural changes
Methodology:北京卷数学 · 2022–2024explains historical samples only and does not predict future questions · View evidence criteria
01 / WHAT CHANGED

What changes do these past papers show?

Conclusions are first generated by deterministic aggregation, then backed by question and paper evidence. Dimensions with too few samples get no conclusion.

02 / EVIDENCE TRACK

Representative Questions by Year

Every node links back to real questions. A node reflects the structure observable in that year, not every paper from that year.

2022
填空题 · 构造函数 · 端点分析2022_北京 Paper (2022) · Q14查看证据题 →
2023
单选题 · 数形结合2023_北京 Paper (2023) · Q4查看证据题 →
2024
单选题 · 构造函数 · 分类讨论2024_北京 Paper (2024) · Q7查看证据题 →
2025
不参与比较知识图谱覆盖 62%,暂不比较
2026
不参与比较知识图谱覆盖 42%,暂不比较
03 / CORPUS READINESS

First Check Whether Each Year's Data Is Comparable

Years with too few public questions or insufficient knowledge map coverage are never reported as "not tested" and are excluded from early-versus-late comparisons.

year公开题主知识标签覆盖函数与导数证据题比较状态
20222080%4参与比较
20232181%2参与比较
20242181%3参与比较
20252162%—语料未就绪
20261242%—语料未就绪
04 / REPRESENTATIVES

Which Questions Best Illustrate This Change?

One question is picked per year, favoring fully tagged samples that show the structural difference, rather than simply ranking by difficulty.

2022

2022_北京 Paper (2022) · Q14

Fill-in-the-blankMedium构造函数端点分析

以填空题呈现函数与导数,可观察「构造函数 + 端点分析」。它作为该年结构样本,不代表当年所有试卷。

2023

2023_北京 Paper (2023) · Q4

Single-choiceMedium数形结合

以单选题呈现函数与导数,可观察「数形结合」。它作为该年结构样本,不代表当年所有试卷。

2024

2024_北京 Paper (2024) · Q7

Single-choiceMedium构造函数分类讨论

以单选题呈现函数与导数,可观察「构造函数 + 分类讨论」。它作为该年结构样本,不代表当年所有试卷。

Where Do the Conclusions Come From?

题目公开状态与结构化标签来源是两套证据:公开题通过发布门槛;知识点和属性标签仍可能来自 AI,不能描述为人工审核趋势标签。

发现 1 处题型字段与结构化标签不一致(Q139355579372665)。统计统一采用 qb_questions.type,冲突不静默覆盖。
公开题状态
approved / machine_verified
知识点标签来源
ai: 17
属性标签来源
ai: 85 / rule: 6
排除重复试 Paper
4

沿着这条变化练 3 道题

先识别基础结构,再做代表题,最后换题面验证方法迁移。题目由现有 Question Graph 与趋势证据共同选择。

1. 基础识别→2. 代表结构→3. 换题迁移