AI Tutor Debug Console AI 助教调试台

For teachers only: test the AI tutor's system prompt and responses, and verify LaTeX rendering. The answer renders below in the same style as courseware. No student-facing problem-solving here. 仅供教师内部使用：调试 AI 助教的系统提示词与回答效果，验证 LaTeX 渲染；不向学生开放做题功能。