数学证明讲课
- 适合：
- 一步步推出结论
- 系列：
- X code-video
- 更新：
- 2026-10-29
- 素材：
- 仅提示词，暂无参考画面
风格提示词
Style: math proof lecture
A dark, quiet, textbook-like explainer that stages an argument the way a math lecture stages a proof: a title card, a numbered "lemma" per claim, and a closing "therefore" statement with a QED mark. Everything sits on a near-black panel with a faint off-center glow, rendered as flat 2D vector graphics — thin-stroke bar and scatter charts, color-coded equations that build term by term, and small dim citation text in the corner. The mood is restrained and confident rather than flashy: no camera movement, no particle effects, just clean typography and numbers arriving in a steady, metronomic rhythm under a soft ambient pulse.
Signature
| Item | On screen |
|---|---|
| Background | Flat near-black navy (~#0a0b0f) with a faint, slightly off-center radial glow (lighter toward left-of-center, a touch darker in a band on the far right) — subtle, almost imperceptible, never a full gradient |
| Palette | Off-white primary text ( |
| Typography | A serif display face (Georgia/Playfair-like) for the big title and large numerals; a plain geometric sans (Latin+Hangul mixed) for labels, axis ticks, and body sentences, stepped down in brightness for lower-hierarchy text (title brightest, body mid-gray, footer citation almost invisible dim gray) |
| Slide template | Consistent per-slide anatomy: small serif "series" title top-left, one line of colored subtitle directly under it acting as a step/lemma label (e.g. a numbered "Lemma N." tag in gold), main content centered in the middle of the frame, a single tiny source-citation line in dim gray pinned bottom-left |
| Chart idiom | Thin-outline bar and line charts on faint gridlines: bars are outlined rectangles with a soft vertical glass-gradient fill in the series color, value labels floating just above each mark, brace-and-dashed-line annotations calling out the delta between two marks |
| Equation staging | Numbers and operators are typeset like a worked proof and build left-to-right in color runs — neutral white/gray for given values, coral for the operation being applied, green for the computed result — with the final result getting a gold-outlined box as a "reveal" frame |
| Diagram idiom | XY scatter / quadrant plots with arrow-tipped axes, one colored dot per entity, a directional arrow connecting old→new position, dashed guide lines dropping to each axis, and a faint tinted wash over the "better" quadrant with its own label |
| Open/close marks | Opening title draws on as a hollow outline stroke that then fills solid (like a line being traced before it's colored in), preceded by a single thin drawn stroke/caret; closing slide is a plain "∴ therefore..." statement ending in a small QED box (∎), then the whole frame fades to black |
Direction
Design a restrained, textbook-style explainer video: a near-black background (flat, almost no gradient, maybe a whisper of an off-center glow) that stays completely still — no camera movement, only elements fading, drawing on, or growing within a fixed frame. Structure the video like a worked proof: an opening title card whose text draws on as a hollow outline before filling solid, then a sequence of "lemma" slides, each with a small title top-left and a one-line colored subtitle acting as a step label, and a closing "therefore" statement ending in a small QED-style mark before fading to black. Use a disciplined accent-color system on top of off-white body text and dim-gray meta text: one warm color (gold/amber) for the subject being argued for, one cool color (cyan/blue) for the baseline or comparison point, green for positive deltas or "the better outcome," and a dusty red/coral for costs or negative values — apply these consistently across equations, bar charts, and scatter plots. Stage any math or comparison the way a proof is written: numbers and operators typeset in color-coded runs that build left-to-right, with the final result boxed in the highlight color. Prefer minimal, thin-outline data visuals over illustrations — bar charts with soft gradient fills and value labels, XY plots with arrow axes, dashed guide lines, and a directional arrow showing movement from an old value to a new one. Keep a tiny, low-contrast source-citation line pinned in a corner throughout. For sound, use a calm ambient pad with a bright, regular percussive pulse landing on a steady, almost metronomic interval (roughly every bar), occasional soft bass sweeps under transitions, and one clear loud swell near the end that resolves into a synchronized fade to silence and fade to black.
本风格的来源项目：开源项目 code-video。本站保留原项目署名，具体许可以该项目仓库为准。
分享来源：B 站视频（341 种代码动画风格）