High School Math Master
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Follow https://skillhub.cn/install/skillhub.md and install @user_d9359026/gaokao-smath-master-yang.
About this skill
Problems It Solves
High-school math problems often stall because of missing conditions, informal notation, or mixed modules; exam prep also benefits from line-by-line gaokao analysis, while elementary and junior-high contest problems require different methods. This skill handles that workflow by validating the question first, then solving by module and explaining formula use and scope limits.
How It Works
- Input validation: checks conditions, target, notation, and geometry information; if data are missing, it asks for clarification instead of guessing.
- Scope routing: distinguishes high-school modules, contest problems, concept lookup, gaokao papers, method questions, and FAQs; out-of-scope topics are flagged rather than forced.
- Five-part solving: problem understanding, strategy, step-by-step derivation, knowledge summary, and optional variation.
- Formula tagging: labels formulas such as
[sine rule]or[chain rule]at the end of relevant steps for review. - Multiple inputs: supports text descriptions and photos, useful for handwritten problems, test sheets, or screenshots.
- Method coverage: includes functions and derivatives, trigonometry, sequences, solid geometry, analytic geometry, probability and statistics, plus common contest methods.
Scope and Notes
It is aimed at explanatory tutoring rather than official grading. If key conditions are missing, it asks for supplements. University-level topics such as matrix theory, complex analysis, or advanced number theory are treated as out of scope.
Use Cases
- A grade-12 student uploads a photo of a gaokao analytic geometry problem and asks for a step-by-step solution using “set but do not solve” and Vieta.
- A high-school math teacher prepares class notes by asking for function and derivative strategy, formula tags, and a five-part board layout.
- A middle-school student preparing for Hope Cup or AMC 8 uploads a pigeonhole counting problem and asks for plain-language reasoning.
- A tutor reviews a past gaokao paper by generating per-question steps, formula labels, and common error warnings for each item.
Best For
- Grade-12 students who need line-by-line gaokao analysis, final-question strategy, and formula sources.
- High-school math teachers who need module methods, five-part lesson structure, and common error notes.
- Elementary and junior-high contest students who need plain-language reasoning for pigeonhole, number theory, and counting problems.
- One-on-one math tutors who convert photographed student problems into step-by-step explanations and variations.
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