Year 10 WJEC Art: Formula & Theorem Quick Reference Handbook | WJEC 艺术：公式定理速查手册

📚 Year 10 WJEC Art: Formula & Theorem Quick Reference Handbook | WJEC 艺术：公式定理速查手册

Art often feels like pure intuition, but behind every successful composition lies a set of reliable ‘formulas’ and ‘theorems’ – from colour mixing rules to the golden ratio in composition. This quick reference handbook distils the core principles of the WJEC Year 10 Art syllabus into a series of visual and conceptual equations. Use these formulas as a toolkit to analyse masterpieces, develop your own work, and build confidence in every unit of the course.

艺术常被视为纯粹的直觉，但每一幅成功作品背后都有一套可靠的“公式”和“定理”——从色彩混合规则到构图中的黄金比例。这本速查手册将 WJEC 十年级艺术课程的核心原理提炼为一系列视觉与概念性方程式。把这些公式当作你的工具箱，用来分析名作、发展自己的创作，并在课程的每个单元中建立信心。

1. The Colour Wheel Formula | 色轮公式

The colour wheel organises hues in a circle: the primary triad (Red, Yellow, Blue) is equally spaced at 120° intervals. All other colours derive from this foundational wheel, making it the first tool for colour harmony.

色轮将色相排列成一个圆环：原色三色组（红、黄、蓝）以 120° 等间隔分布。其他所有颜色都衍生自这个基础色轮，使其成为色彩和谐的首要工具。

Primary Colours: Red + Yellow + Blue → All other hues

原色：红 + 黄 + 蓝 → 所有其他色相

2. Colour Harmony Equations | 色彩和谐方程

Complementary colours sit directly opposite on the wheel – Red ↔ Green, Blue ↔ Orange, Yellow ↔ Purple. When placed side by side, complementary pairs create maximum contrast and vibrancy; when mixed, they neutralise each other into browns and greys.

互补色在色轮上直接相对——红 ↔ 绿，蓝 ↔ 橙，黄 ↔ 紫。并置时，互补色对产生最大对比与活力；混合时，它们相互中和成棕色和灰色。

Complementary Vibrancy Formula: Hue A + Hue B (opposite) = High Contrast

互补活力公式：色相 A + 色相 B（相对）= 高对比

Analogous schemes use three adjacent colours, such as Blue, Blue-Green, Green. They produce serene, comfortable designs. Triadic harmony uses three evenly spaced colours (e.g., Red, Yellow, Blue) for a balanced, dynamic feel.

类似色方案使用三个相邻颜色，如蓝、蓝绿、绿，产生宁静舒适的设计。三色组和谐使用三种均匀分布的颜色（如红、黄、蓝），营造平衡动感。

3. Colour Mixing Arithmetic | 色彩混合运算

All secondary colours are formed by mixing two primaries in roughly equal proportions. Tertiary colours result from mixing a primary with an adjacent secondary, giving six transitional hues like Red-Orange or Blue-Green. Understanding this ‘addition table’ prevents muddy mixtures.

所有二次色由两种原色以大致相等的比例混合而成。三次色由一种原色与相邻的二次色混合得到，产生六种过渡色相，如红橙或蓝绿。理解这张“加法表”可以防止颜色变脏。

Secondary Colour Equations:

Red + Yellow → Orange
Yellow + Blue → Green
Blue + Red → Purple

二次色方程：

红 + 黄 → 橙
黄 + 蓝 → 绿
蓝 + 红 → 紫

4. The Golden Ratio Composition Theorem | 黄金比例构图定理

The golden ratio φ (approximately 1.618) appears in nature and classical art. Apply it by dividing your canvas into sections of roughly 1 to 1.618, placing focal points at these intersections. This naturally guides the viewer’s eye through the work.

黄金比例 φ（约 1.618）出现在自然和古典艺术中。将画布按约 1:1.618 的比例划分，将焦点放置在这些交点处即可应用它。这能自然地引导观众的目光流连于作品。

Golden Ratio Rule: Focal Point = Canvas Width ÷ 1.618 from edge

黄金比例规则：焦点 = 画布宽度 ÷ 1.618（距边缘）

5. Rule of Thirds Grid Formula | 三分法网格公式

Divide the picture plane into nine equal rectangles using two equally spaced horizontal and two vertical lines. Place key elements along these lines or at their intersections. This asymmetrical balance creates more dynamic tension than centring the subject.

用两条等距水平线和两条等距垂直线将画面分成九个相等的矩形。将关键元素放置在这些线条上或它们的交点处。这种不对称平衡比居中主体更能制造动态张力。

Intersection 1		Intersection 2
	Focal area
Intersection 3		Intersection 4

Place the main subject at one of the four power points (intersections) rather than dead centre for a more professional composition.

将主体放置在四个发力点（交点）之一，而非画面正中，以获得更专业的构图。

6. Perspective Projection Laws | 透视投影法则

One-point perspective uses a single vanishing point on the horizon where all receding parallel lines converge. It suits head-on views of corridors or roads. The formula for depth is that objects appear smaller as they approach the vanishing point.

一点透视使用地平线上一个消失点，所有后退的平行线汇聚于此。它适合走廊或道路的正面视图。深度公式为：物体越靠近消失点显得越小。

One-Point: All Z-axis lines → Vanishing Point (VP)

一点透视：所有 Z 轴线 → 消失点 (VP)

Two-point perspective uses two VPs on the horizon, allowing you to show an object’s corner. Vertical lines remain vertical; all horizontal edges converge to VP1 or VP2. This is essential for drawing buildings at an angle.

两点透视使用地平线上两个消失点，可展示物体的角部。垂直线保持垂直；所有水平边汇聚至 VP1 或 VP2。这是绘制斜角建筑的必备知识。

7. Value Scale Theorem | 明度阶定理

A ten-step value scale from pure white (value 10) to pure black (value 1) is the backbone of shading. Highlights sit at the lightest end, midtones fill the middle range, and core shadows sit near the darkest steps. Mastering this scale brings 2D drawings to life.

从纯白（明度 10）到纯黑（明度 1）的十阶明度尺度是塑造立体感的支柱。高光在最浅端，中间调填充中段，明暗交界线靠近最暗阶。掌握此尺度可让二维图画栩栩如生。

Chiaroscuro Formula: Highlight + Midtone + Core Shadow + Reflected Light = Form

明暗对照公式：高光 + 中间调 + 明暗交界线 + 反光 = 立体感

8. Human Figure Proportion Canons | 人体比例定律

The average adult body is approximately 7.5 to 8 heads tall. The head itself can be divided into standard fractions for portraiture: the eyes sit halfway between the crown and chin; the nose base sits halfway between eyes and chin; the mouth is about one-third down from the nose to the chin.

成人身体平均约为 7.5 到 8 个头高。肖像画中头部可划分为标准比例：眼睛位于头顶到下巴的中间；鼻底位于眼睛到下巴的中间；嘴巴约在鼻底到下巴的下三分之一处。

Face Proportion Quick Rule: Eyes at ½, Nose at ¾ (of face height)

面部比例速记：眼睛在 ½ 处，鼻子在 ¾ 处（面部高度）

9. Texture and Pattern Rhythm Equations | 肌理与图案节奏方程

Visual texture can be actual (tactile) or implied (drawn). Pattern uses repetition of a motif with a set interval. Changing the interval, scale, or rotation creates rhythmic variations: regular rhythm, flowing rhythm, and progressive rhythm.

视觉肌理可分为实际（可触摸）和仿效（绘制）。图案以固定间隔重复某个母题。改变间隔、尺寸或旋转可创造节奏变化：均匀节奏、流动节奏和渐进节奏。

Pattern Formula: Motif × Repetition + Variation = Rhythm

图案公式：母题 × 重复 + 变化 = 节奏

10. Line Language Principle | 线条语言原理

Every line carries expressive weight. Horizontal lines suggest calm, stability, and landscape. Vertical lines imply strength, height, and formality. Diagonal lines evoke movement, action, and instability. Curved lines give a sense of comfort, organic flow, and femininity.

每种线条都有表达分量。水平线暗示平静、稳定与风景；垂直线暗示力量、高度与正式；斜线唤起运动、动感与不稳定；曲线带来舒适、有机流动与柔美之感。

Expressive Line Theorem: Direction = Emotion

表现性线条定理：方向 = 情感

11. Principles of Design Balance Equations | 设计原理平衡方程

Symmetrical balance mirrors elements on either side of a central axis – stable but potentially static. Asymmetrical balance uses dissimilar objects with equal visual weight, creating more dynamic compositions. Radial balance arranges elements around a central point.

对称平衡在中心轴两侧镜像元素——稳定但可能呆板。不对称平衡使用视觉重量相等的不同物体，创造更动态的构图。放射状平衡围绕中心点安排元素。

Visual Balance Theorem: Left side visual weight ≈ Right side visual weight

视觉平衡定理：左侧视觉重量 ≈ 右侧视觉重量

Contrast uses opposites to create interest; emphasis makes one element the focal point; unity ensures all parts feel coherent; movement leads the eye through the piece.

对比利用对立制造趣味；强调使一个元素成为焦点；统一确保所有部分协调一致；运动引导目光穿梭画面。

12. Artwork Analysis DAIE Theorem | 作品分析 DAIE 定理

The DAIE framework (Describe, Analyse, Interpret, Evaluate) is a structured formula for annotating and evaluating any artwork. Describe what you see objectively; analyse how the formal elements are used; interpret the meaning or message; evaluate the success and your personal response.

DAIE 框架（描述、分析、阐释、评价）是为任何作品进行注释和评估的结构化公式。客观描述所见；分析形式要素如何运用；阐释意义或信息；评价成功之处与个人回应。

DAIE Formula: D (facts) + A (visual language) + I (meaning) + E (judgement)

DAIE 公式：D（事实） + A（视觉语言） + I（含义） + E（判断）

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Year 10 WJEC Art: Formula & Theorem Quick Reference Handbook | WJEC 艺术：公式定理速查手册