KS3 WJEC Art: Formula & Theorem Quick Reference Handbook | KS3 WJEC 艺术：公式定理速查手册

📚 KS3 WJEC Art: Formula & Theorem Quick Reference Handbook | KS3 WJEC 艺术：公式定理速查手册

Welcome to your go-to quick reference guide for the essential ‘formulas’ and ‘theorems’ that power KS3 WJEC Art. Just like science uses equations to explain the physical world, art relies on proven principles of colour, perspective, proportion and composition to create powerful visual results. This handbook translates these artistic fundamentals into easy-to-remember formulas you can apply in every project, from drawing and painting to digital design.

欢迎使用这本 KS3 WJEC 艺术必备的“公式”与“定理”速查手册。就像科学用方程式解释物理世界一样，艺术也依赖色彩、透视、比例和构图等经过验证的原理来创造强烈的视觉效果。本手册将这些艺术基础转化为易记的公式，你可以将它们应用到从素描、绘画到数字设计的每一个项目中。

1. The Colour Wheel Formula | 色轮公式

The colour wheel arranges hues in a circle to show relationships. The foundational formula begins with three primary colours that cannot be mixed from other pigments.

色轮将色相排列成一个圆圈以显示色彩关系。基础公式始于三种无法用其他颜料混合而成的原色。

Primary Triad Formula: Red + Yellow + Blue = All Other Colours

三原色三和弦公式：红 + 黄 + 蓝 = 所有其他颜色

These primaries are spaced equally around the wheel. Between them sit secondary colours, and further mixing produces tertiary hues. The entire wheel is a closed system: every colour has a place and a mathematical relationship to every other colour on the circle.

三原色在色轮上等距分布。在它们之间是二次色，进一步混合产生三次色。整个色轮是一个闭环系统：每种颜色都在圆上有其位置，并与圆上其他所有颜色保持数学般精确的关系。

2. Secondary Colour Equations | 二次色方程

Secondary colours are created by mixing exactly two primary colours in equal amounts. These equations are the first building blocks for understanding colour mixing.

二次色由两种原色等量混合而成。这些方程式是理解色彩混合的第一个基石。

Secondary Colour Equation 1: Red + Yellow = Orange

二次色方程 1：红 + 黄 = 橙

Secondary Colour Equation 2: Red + Blue = Violet (Purple)

二次色方程 2：红 + 蓝 = 紫

Secondary Colour Equation 3: Blue + Yellow = Green

二次色方程 3：蓝 + 黄 = 绿

These three formulas are the artist’s version of a chemist’s recipe. Adjusting the ratio changes the result: more red in the red+yellow mixture produces a red-orange, while more yellow gives a yellow-orange. This variation creates the six tertiary colours such as red-orange, yellow-green and blue-violet, completing the 12-part colour wheel.

这三个公式就是艺术家版本的化学配方。调整比例会改变结果：在红+黄的混合中增加红色会产生红橙色，而增加黄色则产生黄橙色。这种变化创造了六种三次色，例如红橙、黄绿和蓝紫，从而完成12色相环。

3. Complementary Contrast Theorem | 互补对比定理

The complementary contrast theorem states that colours directly opposite each other on the colour wheel produce the maximum visual tension and vibrancy when placed side by side. This optical effect is so strong it can make edges appear to vibrate.

互补对比定理指出，色轮上直接相对的颜色并置时会产生最大的视觉张力和鲜活感。这种光学效应非常强烈，甚至能让边缘产生振动的错觉。

Complementary Pairs Formula: Red + Green, Blue + Orange, Yellow + Violet

互补对公式：红 + 绿，蓝 + 橙，黄 + 紫

When you mix complementary colours additively (with light) you get white, but in subtractive mixing (with paint) they neutralise each other. The equation for a neutral brown is: Red + Green = Brown or Blue + Orange = Brown. Mastering this theorem allows you to both intensify colours and mute them deliberately.

当用加色法（光线）混合互补色时，你得到白色；但在减色法（颜料）混合中，它们会相互中和。产生中性棕色的公式是：红 + 绿 = 棕色 或 蓝 + 橙 = 棕色。掌握这一定理使你既能增强色彩，也能有意识地使其变灰暗。

4. Colour Harmony Principle | 色彩和谐原理

Colour harmony, like musical harmony, is based on predictable relationships on the wheel. Using these harmonic formulas ensures your colour choices feel balanced and pleasing rather than chaotic.

色彩和谐，如同音乐和声，基于色轮上可预测的关系。运用这些和声公式可以确保你的色彩选择感觉平衡且令人愉悦，而非混乱。

Harmonic Triad Formula: 3 colours equally spaced on the wheel (e.g. Red + Yellow + Blue)

和谐三和弦公式：色轮上等距的三种颜色（如红、黄、蓝）

Analogous Harmony Formula: 3–5 colours adjacent on the wheel (e.g. Blue + Blue-green + Green)

类似色和谐公式：色轮上相邻的3–5种颜色（如蓝、蓝绿、绿）

Split-Complementary Theorem: 1 base colour + 2 colours adjacent to its complement

分裂互补定理：1个基础色 + 其互补色两侧的2种颜色

Applying these harmonic formulas gives you ready-made palettes for any composition, reducing the guesswork and ensuring a professional finish.

应用这些和谐公式能为任何构图提供现成的调色板，减少猜测，确保专业级的完成度。

5. Linear Perspective Law | 线性透视定律

Linear perspective is the mathematical system for creating the illusion of depth on a flat surface. It is governed by the law of converging parallels: all lines that are parallel in reality appear to meet at a vanishing point on the horizon line.

线性透视是在平面上创造深度错觉的数学系统。它受“平行线汇聚定律”支配：现实中平行的所有线条在画面中似乎都汇集于地平线上的消失点。

One-Point Perspective Formula: 1 vanishing point + horizon line → all receding lines converge

一点透视公式：1个消失点 + 地平线 → 所有后退线汇聚

Two-Point Perspective Theorem: 2 vanishing points on the horizon → vertical edges stay parallel, all horizontal edges recede to VPs

二点透视定理：地平线上2个消失点 → 垂直边缘保持平行，所有水平边缘后退至消失点

Remember, the vanishing point always sits on the eye-level line (horizon). The closer together the vanishing points, the more dramatic the foreshortening; the further apart, the more natural the view.

请记住，消失点始终位于视平线（地平线）上。消失点靠得越近，纵深缩短越戏剧化；距离越远，视角越自然。

6. Atmospheric Perspective Theorem | 大气透视定理

Also known as aerial perspective, this theorem describes how the atmosphere affects our perception of objects at a distance. It is not a rigid geometric formula but a set of optical rules that painters have used for centuries.

该定理又称空气透视，描述了大气如何影响我们对远处物体的感知。它并非一套严格的几何公式，而是画家们沿用数个世纪的一套光学法则。

Distance Effect Formula: Greater distance → +Blue cast, –Contrast, –Detail, +Lighter value

距离效应公式：距离越远 → 蓝色调增加、对比度降低、细节减少、明度变浅

In practice, faraway hills appear lighter and bluer than those in the foreground. The contrast between light and shadow diminishes, and edges become softer. Apply this theorem alongside linear perspective to create a truly convincing illusion of space.

实践中远景的山丘比近景的颜色更浅、更蓝。明暗对比减弱，边缘变得更柔和。将此定理与线性透视结合使用，以创造真正令人信服的空间幻象。

7. Human Proportion Canon | 人体比例准则

Drawing the human figure accurately relies on a set of proportional canons. While individual bodies vary, the classical ideal provides a reliable starting measurement system.

准确绘制人体依赖于一套比例准则。尽管个体体型各异，但古典理想化比例为测量体系提供了可靠的起点。

Classical Proportion Theorem: Total Height = 7.5 to 8 Head Lengths

古典比例定理：总身高 = 7.5至8个头长

Key body divisions: Shoulder width ≈ 2 head lengths; Pelvis width ≈ 1.5 head lengths (female) or 1.3 head lengths (male); Elbow at waist level; Fingertips reach mid-thigh.

关键身体划分：肩宽 ≈ 2个头长；骨盆宽度 ≈ 1.5个头长（女性）或1.3个头长（男性）；肘部位于腰部水平；指尖达大腿中部。

Use the head length as your universal unit. Measure everything in relation to the head, and your figure drawings will gain structural consistency instantly.

将头长作为通用单位。用头长来衡量所有部位，你的人体素描将立即获得结构上的一致性。

8. Golden Ratio Composition Rule | 黄金比例构图法则

The golden ratio, approximately 1 : 1.618, appears in nature and classical art. It can be used as a compositional tool to place focal points for maximum aesthetic appeal.

黄金比例约为1:1.618，出现在自然界和古典艺术中。它可用作构图工具，让人将视觉焦点放在最具审美吸引力的位置。

Golden Section Formula: Divide a line so that the whole length divided by the longer part equals the longer part divided by the shorter part (a/b = (a+b)/a ≈ 1.618)

黄金分割公式：将线条分割，使得整体长度除以较长部分等于较长部分除以较短部分（a/b = (a+b)/a ≈ 1.618）

In a rectangle, the golden ratio creates a visually pleasing proportion. The golden spiral, derived from repeatedly dividing golden rectangles, guides the eye naturally through a composition. Place your main subject along the spiral’s curve or at the intersection of golden division lines.

在矩形中，黄金比例创造出视觉上令人愉悦的比例。由反复分割黄金矩形得出的黄金螺旋可以自然地引导视线穿过构图。将主要对象放置在螺旋曲线上或黄金分割线的交点处。

9. Rule of Thirds Grid | 三分法网格公式

The rule of thirds is a simplified, practical compositional formula derived from the golden ratio. It divides the frame into a 3×3 grid, creating four power points where lines intersect.

三分法是一种从黄金比例派生的、简化的实用构图公式。它将画面分成3×3网格，在线条交叉处创造四个力量点。

Rule of Thirds Equation: Frame ÷ 3 (horizontally) × 3 (vertically) → 4 focal points

三分法方程：画面 ÷ 3（水平）× 3（垂直）→ 4个焦点

Placing key elements along the grid lines or at the intersections prevents static, centred compositions. For landscapes, align the horizon with the top or bottom third line, never the centre, to give dominance to either sky or land.

将关键元素放置在网格线上或交点上，可以避免静止、居中的构图。对于风景画，将地平线与上三分之一或下三分之一线对齐，不要居中，以使天空或地面占据主导地位。

10. Value and Shading Formula | 明暗与阴影公式

To turn a flat shape into a three-dimensional form, you need a consistent value formula based on a single light source. Value describes the lightness or darkness of a tone.

要将平面形状转变为三维形态，你需要基于单一光源的一致明暗公式。明度描述色调的明暗程度。

Shading System Formula: Highlight → Light Halftone → Dark Halftone → Core Shadow → Reflected Light → Cast Shadow

明暗系统公式：高光 → 浅灰面 → 深灰面 → 明暗交界线（核心阴影）→ 反光 → 投影

The core shadow is the darkest part of the form itself, not the cast shadow. Reflected light bounces from surrounding surfaces into the shadow side, making it slightly lighter than the core shadow. The cast shadow is darkest near the object and softens with distance.

明暗交界线是形体自身最暗的部分，而非投影。反光从周围表面反弹进入阴影侧，使其略亮于明暗交界线部分。投影在靠近物体处最暗，并随距离变远而柔化。

11. Texture Illusion Theorem | 质感幻象定理

Texture in two-dimensional art is an illusion created by the manipulation of marks. This theorem maps specific mark-making patterns to perceived surface qualities.

二维艺术中的质感是通过操控笔触痕迹而产生的幻觉。这一定理将特定的笔触模式映射到感知到的表面质感上。

Texture Formula: Dense, short, irregular marks → Rough texture (e.g. bark, stone)

质感公式：密集、短促、不规则的笔触 → 粗糙质感（如树皮、石头）

Long, parallel, flowing marks → Smooth, silky texture (e.g. hair, fabric)

长而平行的流畅笔触 → 光滑、如丝般的质感（如头发、织物）

Cross-hatching with varied pressure → Gradated tone and bumpy texture

不同压力的交叉排线 → 渐变色调与凹凸质感

By varying the direction, density and pressure of your lines, you can simulate everything from fur to polished metal. The theorem reminds us that texture is a pattern language.

通过改变线条的方向、密度和压力，你几乎可以模拟从毛皮到抛光金属的任何质感。这项定理提醒我们，质感是一种图案语言。

12. Colour Psychology Mapping | 色彩心理映射定理

Colours carry emotional and cultural associations that artists use deliberately. The colour psychology mapping theorem charts these common links, providing a shortcut to mood creation.

色彩承载着艺术家有意运用的情感与文化联想。色彩心理映射定理描绘了这些常见联系，为营造情绪提供了捷径。

Psychological Colour Codes: Red → Energy, passion, danger, warmth

心理色彩编码：红色 → 活力、激情、危险、温暖

Blue → Calm, sadness, trust, cold

蓝色 → 平静、悲伤、信任、寒冷

Yellow → Happiness, optimism, caution

黄色 → 快乐、乐观、小心

Green → Nature, growth, safety, envy

绿色 → 自然、成长、安全、嫉妒

Purple → Royalty, mystery, spirituality

紫色 → 高贵、神秘、灵性

These mappings are not absolute but form a visual shorthand. Pair the psychology theorem with the harmony principle to craft works that communicate emotion at first glance.

这些映射并非绝对，但形成了一种视觉速记。将心理定理与和谐原理结合运用，可以创作出让人一眼就能感受到情感的作品。

Published by TutorHao | Art Revision Series | aleveler.com

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