Introduction

A common pain point when developing tools for Gaokao (National College Entrance Examination) math preparation is that static images and text explanations often fail to clearly convey the “dynamic process” involved in topics such as function monotonicity, extremum point deviation, and conic sections. When students review solutions, they cannot visualize how a function moves within a specific interval, and it is difficult for teachers to reproduce these movements step-by-step on static blackboard writing for every problem.

The Skill introduced below, “Dynamic Math—Common Models for High School Math,” addresses this issue: it transforms commonly tested models and exam question types into interactive dynamic diagrams, allowing the Agent to directly return clickable hyperlinks to simulation pages when a specific testing point is identified.

What is This?

In one sentence: This is a Skill designed for querying common mathematical models for high school Gaokao preparation. It maps testing points—such as functions, derivatives, conic sections, and probability statistics—to links of interactive dynamic diagram pages.

  • Name: Dynamic Math—Common Models for High School Math
  • Coordinate: @yimubiao/gaokao-math-113-models
  • Version: 1.0.2
  • Source: enterprise
  • Category: education
  • Publisher: Yi Mu Biao (易目标)
  • Tags: requires_api_key=false (can be used without an API Key)

Problem Solved: When a user mentions a specific testing point or question type, the Agent does not need to derive the solution process itself. Instead, it directly provides the link to the corresponding interactive dynamic simulation page. If no testing point is matched, it returns the link to the main homepage of “Dynamic Math,” ensuring there is always a clickable exit.

Core Features

  1. Testing Point/Question Type Matching: Built-in coverage includes Functions and Equations, Abstract Functions, Geometric Meaning of Derivatives, Studying Monotonicity using Derivatives, Extrema and Maximum/Minimum Values, Constructing Functions to Prove Inequalities, Constant Establishment and Parameters, Extremum Point Deviation, Implicit Zero Points, etc. When any of these testing points is matched, the Skill directly outputs a clickable hyperlink to the corresponding simulation page.
  2. Main Entry Fallback: If no built-in testing point is matched, it outputs the link to the main homepage of “Dynamic Math,” rather than returning an empty response or an error.
  3. Interactive Dynamic Diagram Breakdown: Content covers four categories: Functions, Derivatives, Conic Sections, and Probability Statistics. It uses dynamic demonstrations to replace static analysis, making it suitable for understanding processes of change.
  4. Synonym/Colloquial Recognition: Supports terms such as “Gaokao Math,” “Gaokao Exam Questions,” “Derivative Big Problems,” “Conic Section Big Problems,” “Analytic Geometry,” “Extremum Point Deviation,” “Implicit Zero Point,” “Common Tangent,” “Sequence Inequality,” and “Solving Triangles,” thereby lowering the barrier for matching.

Installation and Activation

The Skill is based on the universal SKILL.md format and can be installed in any Agent environment that supports Skills using the following coordinate:

@yimubiao/gaokao-math-113-models
  • Official Address: https://api.skillhub.cn/yimubiao/gaokao-math-113-models
  • SkillHub Page: https://www.skillhub.cn/skills/yimubiao/gaokao-math-113-models
  • No API Key Required (requires_api_key=false)

Regarding installation in different environments: The official documentation only provides the coordinate and page information mentioned above; it does not provide specific installation commands for Cursor, Codex CLI, or Claude Code. When activating in a specific environment, please refer to the Skill installation entry of your Agent client; do not assemble unverified commands yourself.

Typical Usage

The usage below is derived from the matching logic described in the official introduction and can be reproduced directly:

User Question:

How do I solve extremum point deviation?

Agent: Matches the “Extremum Point Deviation” testing point and directly returns the corresponding clickable hyperlink to the interactive dynamic simulation page. The user can click to view it.

User Question:

Tell me about today's weather.

Agent: No built-in testing point is matched, so the Agent returns the link to the main homepage of “Dynamic Math.”

From the steps above, it is clear that the value of this Skill lies not in solving problems, but in “routing”: mapping testing point keywords to corresponding dynamic diagram pages.

Applicable Scenarios and Notes

Suitable for:

  • High school students and teachers in the Gaokao preparation stage who need to quickly view dynamic demonstrations of common models for functions, derivatives, conic sections, and probability statistics.
  • Scenarios where users want to obtain clickable dynamic diagram links directly within an Agent conversation, rather than having the model perform on-the-spot derivations.
  • Developers integrating capabilities into Agent clients that use the universal SKILL.md format.

Notes:

  • The Skill is only responsible for providing links; it does not generate problem-solving steps. The final explanation still relies on the content of the simulation page.
  • The coverage is based on the officially built-in testing points. Questions beyond this list (such as niche competition topics) will default to the main entry, and corresponding dynamic diagrams may not exist.
  • Current data shows a rating of 100,000, 1,143 downloads, and 0 installs, indicating a newly launched scale. It is recommended to open the simulation pages to verify the actual content quality before promotion.
  • There was a mention of “Rating 99829, Downloads 1130” in information clues, which is inconsistent with the scraped page data. Please refer to the official page.

Conclusion

What this Skill does is very clear: it solidifies common Gaokao math models and exam question types into a set of mapping rules from “Testing Points to Dynamic Diagram Pages,” allowing the Agent to perform less derivation and more linking. If you are building a conversational product for high school exam preparation, this can be integrated directly as a content routing layer. Before integration, it is recommended to spot-check the simulation pages of a few core testing points to confirm that the coverage depth meets your requirements.

Official Address: https://api.skillhub.cn/yimubiao/gaokao-math-113-models