📚 Year 11 AQA Art: Formula & Theorem Quick Reference Handbook | Year 11 AQA 艺术：公式定理速查手册
In the AQA GCSE Art and Design course, creativity is built upon a foundation of visual "formulas" and principles. This handbook crystallises the essential colour mixing equations, perspective theorems, and compositional rules into a quick reference guide. By internalising these structures, you will make more informed and expressive artistic choices.
在 AQA GCSE 艺术与设计课程中，创造力建立在视觉“公式”和原理的基础之上。这本手册将关键的色彩混合方程、透视定理和构图规则浓缩成一份快速参考指南。内化这些结构，你将做出更明智、更具表现力的艺术选择。
1. Additive & Subtractive Colour Mixing | 加法与减法色彩混合
Additive mixing applies to light (screens, stage lighting). The primaries are Red (R), Green (G), Blue (B). Combining all three produces White light.
加法混合适用于光（屏幕、舞台灯光）。三原色为红 (R)、绿 (G)、蓝 (B)。三者混合产生白光。
Subtractive mixing applies to pigments, inks and paints. The primaries are Cyan (C), Magenta (M), Yellow (Y). All three mix to a dark neutral (theoretical Black). In practice, artists use Key (K) black.
减法混合适用于颜料、墨水和涂料。三原色为青 (C)、品红 (M)、黄 (Y)。三者混合为暗中性色（理论上为黑色）。实践中，艺术家使用黑色 (K)。
Light: R + G = Y, G + B = C, B + R = M | Pigment: C + M = B, M + Y = R, Y + C = G
| Additive Mix | Result | Subtractive Mix | Result |
|---|---|---|---|
| Red + Green | Yellow | Cyan + Magenta | Blue |
| Green + Blue | Cyan | Magenta + Yellow | Red |
| Blue + Red | Magenta | Yellow + Cyan | Green |
2. Colour Wheel Relationships | 色轮关系
The 12-hue colour wheel organises primary, secondary and tertiary colours. It reveals harmony formulas: analogous (neighbouring hues), complementary (opposite hues), triadic (3 evenly spaced).
12 色相色轮组织了三原色、三间色和复色。它揭示了和谐公式：类似色（相邻色相）、互补色（相对色相）、三色组合（均匀分布的三种色相）。
Analogous schemes use 2–3 colours side by side, creating unity. Complementary pairs (e.g. Red–Green) generate maximum contrast and visual vibration.
类似色方案使用 2–3 种相邻颜色，创造统一感。互补色对（如红–绿）产生最大对比和视觉振动。
Split–complementary: one hue plus the two hues adjacent to its complement. This softens contrast while retaining interest.
分裂互补：一种色相加上其互补色相邻的两种色相。这在保持趣味性的同时柔化了对比。
3. Complementary Contrast & After-Image | 互补对比与残像
Staring at a saturated colour then shifting to a white surface reveals its complementary after-image. This physiological effect underpins simultaneous contrast—colours appear more intense when placed next to their complements.
凝视一个饱和色然后转向白色表面，会看到其互补色的残像。这一生理效应是同时对比的基础——当颜色并置于其互补色旁时，会显得更加强烈。
In painting, a green shadow on a red apple looks natural because the retina seeks balance. This "formula" enhances realism and depth.
在绘画中，红苹果上的绿色阴影看起来自然，因为视网膜寻求平衡。这一“公式”增强了真实感和深度。
4. Warm/Cool Temperature Rule | 冷暖温度规则
Warm colours (red, orange, yellow) advance visually; cool colours (blue, green, violet) recede. Artists use this "temperature formula" to create depth without linear perspective.
暖色（红、橙、黄）在视觉上向前推进；冷色（蓝、绿、紫）向后消退。艺术家利用这一“温度公式”在不使用线性透视的情况下创造深度。
In a landscape, distant hills are painted with cooler, bluer hues, while foreground elements employ warmer tones. This temperature shift reinforces atmospheric perspective.
在风景中，远处的山丘用更冷、更蓝的色调绘制，而前景元素则使用暖色调。这种温度转变强化了空气透视。
5. Linear Perspective: One-Point and Two-Point | 线性透视：一点与两点透视
One-point perspective uses a single vanishing point (VP) on the horizon line. All orthogonal lines recede to that VP. It is ideal for roads, corridors, or frontal views.
一点透视在视平线上使用一个消失点 (VP)。所有正交线向该消失点汇聚。适用于道路、走廊或正面视图。
Two-point perspective employs two VPs on the horizon. Vertical lines remain vertical; horizontal edges converge to left or right VP. This creates a more dynamic corner view.
两点透视在视平线上使用两个消失点。垂直线保持垂直；水平边分别向左或右消失点汇聚。这创造了更具动感的转角视图。
Size reduction ∝ 1 / distance from viewer
Objects appear smaller in proportion to their distance: if an object is twice as far, its apparent height is halved.
物体大小与距离成比例缩小：如果距离是两倍，表观高度则为一半。
6. Atmospheric Perspective Formula | 空气透视公式
As the distance between viewer and object increases, contrast decreases, colours shift toward the background tone (often blue-grey), and details blur. This is the atmospheric perspective "equation".
随着观看者与物体距离的增加，对比度下降，颜色向背景色调（通常蓝灰色）偏移，细节模糊。这就是空气透视“方程”。
Implement it by layering glazes: foreground – high contrast, sharp edges, warm; middle ground – moderate contrast; background – low contrast, cool, soft edges.
通过分层薄涂来实现：前景——高对比度、轮廓清晰、暖色调；中景——中等对比度；背景——低对比度、冷色调、边缘柔和。
7. Golden Ratio & Composition Grids | 黄金比例与构图网格
ature and classical art. The golden rectangle can be divided into a square and a smaller proportional rectangle, generating the Fibonacci spiral.
黄金比例 φ ≈ 1.618 出现在自然界和古典艺术中。黄金矩形可分割为一个正方形和一个更小的成比例矩形，产生斐波那契螺旋。
φ = (1 + √5) ÷ 2 ≈ 1.618
long the lines or at intersections creates balanced, engaging compositions. It is a simplified, practical formula derived from the golden ratio.
三分法将画面划分为 3×3 网格。将关键主体放置在线上或交叉点，可创造出平衡且引人入胜的构图。这是源自黄金比例的简化实用公式。
8. Value & Tone Scale Formula | 明度与色调等级公式
A standard value scale features 9 evenly graded tones from pure white to pure black. This formula trains your eye to see and replicate light and shadow accurately.
标准明度标尺包含从纯白到纯黑的 9 个均匀灰度等级。这个公式训练你的眼睛准确地观察和再现光与影。
Highlight (value 1-2), light (3-4), mid-tone (5), core shadow (6-7), reflected light (6), cast shadow (8-9). A highlight jumps forward; a deep shadow recedes.
高光（明度 1–2）、亮面（3–
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