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AI 기하학 이미지 풀이기

기하학 문제의 사진을 업로드하고 AI가 분석, 식별, 해결하도록 합니다.

[email protected], Geometry Calculator Developer & Online Math Educator 검수 마지막 업데이트 April 24, 2026

AI 기하학 이미지 풀이기

In-Depth Tutorial: AI 기하학 이미지 풀이기

The AI Geometry Image Solver lets you upload a photograph of a geometry problem and have the AI read the figure, transcribe the printed text, and solve the problem step by step. This is the most powerful AI tool when you have a textbook page, a whiteboard photo, or a handwritten worksheet in front of you and don't want to retype the entire problem. This tutorial covers what kinds of images work best, how to set up your photo for maximum AI accuracy, and what to expect from the output.

What this tool does

You upload an image showing a geometry problem (typically with a figure + question text). The AI Vision system:

  1. Reads the figure — identifies geometric elements (triangles, circles, points, lines) and any printed labels (vertex names, side lengths, angle measurements).
  2. Reads the text — transcribes the printed problem statement, given conditions, and "find the..." or "prove that..." instruction.
  3. Identifies the problem type — area calculation, angle finding, congruence proof, similarity setup, etc.
  4. Solves it — applies the relevant formulas and theorems, showing the chain of reasoning.
  5. Returns the answer — final numerical value (with units), or completed proof (in two-column format), with full step-by-step working.

Image formats and quality

Accepted formats: JPEG, PNG, GIF, WebP.

Image quality matters. For best results:

  • Resolution: at least 800 pixels in the smaller dimension. Smartphone photos at default settings are usually fine.
  • Lighting: even, no shadows across the figure. Avoid harsh side-lighting that creates dark zones.
  • Focus: sharp. Out-of-focus images degrade OCR accuracy significantly.
  • Cropping: include the relevant problem AND its figure together. Don't crop too tight.
  • Orientation: upright. The AI handles slight tilt but heavily rotated images may need straightening first.

What works well

  • Printed textbook problems (clear typography, clean diagrams).
  • Whiteboard photos (high-contrast marker on white).
  • Handwritten problems with neat printing (block letters, large numbers).
  • Computer-generated figures (PDFs, online worksheets).
  • Worksheets with multiple choice answers visible.

What works less well

  • Cursive handwriting (the AI may misread).
  • Very faint pencil on white paper (low contrast).
  • Complex figures with many overlapping elements (the AI may misread which line is which).
  • Figures with very small labels (under 8 px on screen).
  • 3D figures shown from non-standard angles (the AI mostly trains on 2D diagrams).

Worked example — what happens after upload

Suppose you upload a photo showing:

"In triangle ABC, ∠A = 50°, AB = 8, AC = 10. Find BC."

[diagram of triangle with labels]

The AI returns something like:

"This is an SAS configuration — you have two sides (AB = 8, AC = 10) and the included angle (∠A = 50°). The third side BC can be found using the Law of Cosines:

BC² = AB² + AC² − 2·AB·AC·cos(A)

BC² = 64 + 100 − 2·8·10·cos(50°)

BC² = 164 − 160·0.6428

BC² ≈ 164 − 102.85 ≈ 61.15

BC ≈ √61.15 ≈ 7.82."

The AI handles parsing, formula choice, calculation, and explanation in one shot.

What if the AI misreads the image?

This happens occasionally — a "0" mistaken for "O", a "1" misread as "I", etc. Symptoms:

  • The AI references values that aren't in your problem.
  • The solution uses a different formula than you expected.
  • The final answer seems off.

Workaround: re-upload with a sharper, larger photo OR switch to the text-based AI Solver and type the problem out yourself.

Privacy and your photos

Photos you upload are sent to a third-party AI service (OpenAI, Anthropic, or DeepSeek-VL depending on routing) for processing. They are not stored permanently on our servers, but the AI service may retain them per their privacy policy. For sensitive content (exam questions, IP-protected diagrams), be aware that the image leaves your device.

Credits and cost

Each image solve uses 3 credits — the same as text-based AI solves. New accounts receive 30 free credits, enough for about 10 image solves. See Pricing for higher-volume plans.

When to use this vs other tools

SituationUse
You have a textbook photoAI Image Solver (this tool)
You can type the problemAI Problem Solver (cheaper if no photo)
You need a formal proofProof Generator
You need a formula explainedFormula Explainer
You know the specific calcThe relevant specialized calculator (faster + free)

Common mistakes when using image upload

  • Blurry photos. Even a slight blur degrades text recognition. Take a sharp photo.
  • Wrong orientation. Rotate so text is upright before uploading.
  • Crowded image. If a textbook page has multiple problems, crop to just one. The AI tries to solve everything in view, which can confuse it.
  • Expecting the AI to read all handwriting. Print clearly, especially numbers. Cursive can fail.
  • Forgetting to verify the answer. The AI is usually right but not infallible. Cross-check with a specialized calculator when possible.

자주 묻는 질문 – AI 기하학 이미지 풀이기

JPEG, PNG, GIF, WebP 형식. 이미지는 판독 가능한 라벨과 측정값이 있는 명확한 문제 내용을 보여줘야 합니다.

완전히 해결합니다. 모든 도형을 식별하고, 주어진 값을 읽으며, 적절한 공식을 적용하고, 단계별 풀이 과정을 완전히 보여줍니다.

각도와 변이 표시된 도형, 교과서 문제, 손으로 쓴 숙제, 기하학 워크시트 모두 잘 작동합니다.

이미지 기반 해결 방법당 3크레딧이 사용됩니다. 신규 계정은 30크레딧을 무료로 제공합니다.