Year 9 WJEC Art: Formula & Theorem Quick Reference Handbook | Year 9 WJEC 艺术：公式定理速查手册

📚 Year 9 WJEC Art: Formula & Theorem Quick Reference Handbook | Year 9 WJEC 艺术：公式定理速查手册

Art may seem to be about free expression, but behind every striking composition lies a set of visual ‘formulas’ – repeatable principles of colour, proportion, contrast and structure that artists have relied on for centuries. This quick reference handbook gathers the essential formulas and theorems every Year 9 WJEC Art student should have at their fingertips, from colour-wheel mathematics to the golden ratio and atmospheric perspective. Think of each principle as a tool you can reach for when planning, analysing or refining your own artwork.

艺术看似自由表达，但每一幅震撼人心的作品背后都有一套视觉“公式”——艺术家们数百年来依赖的色彩、比例、对比和结构的可重复原则。这份速查手册收集了每个 Year 9 WJEC 艺术生都应烂熟于心的核心公式与定理，从色轮数学到黄金比例，再到大气透视。请把每一条原理都当作你可以随时使用的工具，用于规划、分析或完善你的创作。

1. The Colour Wheel Formula | 色轮公式

The 12-hue colour wheel is built on a simple arithmetic: primary colours (red, yellow, blue) are spaced equally. Secondary colours (orange, green, violet) sit exactly halfway between two primaries – red + yellow = orange. Tertiary colours fill the remaining gaps, such as red-orange or blue-green. Understanding this structure lets you predict colour relationships instantly.

12色相环建立在一个简单的运算上：三原色（红、黄、蓝）等距分布。间色（橙、绿、紫）恰好位于两个原色的正中间——红+黄=橙。复色（如红橙、蓝绿）填补剩下的空隙。理解这一结构能让你瞬间预判所有色彩关系。

2. Complementary Contrast Theorem | 互补色对比定理

Colours directly opposite on the colour wheel – red and green, blue and orange, yellow and purple – create the strongest possible contrast. Placed side by side, each makes the other appear more vivid. This is not just theory; it is a perceptual law rooted in the way our eyes fatigue and seek balance. Use complementary pairs to make focal points ‘pop’ or to build tension in a composition.

色轮上直接相对的颜色——红与绿、蓝与橙、黄与紫——能产生最强烈的对比。将它们并置，彼此都会显得更鲜艳。这不仅是理论，而是植根于人眼疲劳与寻求平衡方式的感知定律。用互补色对可以让视觉焦点“跳出来”，或在画面中制造张力。

3. Golden Ratio Composition | 黄金比例构图公式

The golden ratio, approximately 1.618:1, appears repeatedly in nature and has been used by artists from Leonardo da Vinci to contemporary photographers. To apply it, divide your canvas into sections where the ratio of the larger part to the smaller part equals the ratio of the whole to the larger part. This creates a spiral or a set of harmonious rectangles that guide the viewer’s eye naturally across the work.

黄金比例约为1.618:1，在自然界中反复出现，并被从达·芬奇到当代摄影师的艺术家所用。使用时，将画布分割为两部分，使较大部分与较小部分的比值等于整体与较大部分的比值。由此产生的螺旋或一组和谐矩形能够自然地引导观众的目光游走于画面之上。

4. Rule of Thirds | 三分法则

Divide your image into nine equal parts with two equally spaced horizontal lines and two equally spaced vertical lines. Place key elements along these lines or at their intersections. This off-centre placement nearly always feels more dynamic and balanced than placing the subject dead centre. The rule of thirds is the quickest compositional formula to transform a static scene into an engaging one.

用两条等距水平线和两条等距垂直线将画面分成九等份。将关键元素放置在这些线条上或它们的交叉点上。这种偏离中心的放置几乎总比把主体放在正中央更富动感且更平衡。三分法是将静止场景变得引人入胜的最快捷构图公式。

5. Atmospheric Perspective Formula | 大气透视公式

As objects recede into the distance, three things happen: colours cool (shift toward blue), contrast decreases, and details soften. The formula is simple – more atmosphere between you and the subject equals more blue, less contrast, and blurred edges. Use this rule to create a convincing sense of depth in landscapes or any scene with distance.

当物体向远处退去时，会发生三件事：色彩变冷（偏向蓝色），对比度降低，细节柔和化。公式很简单——你与物体之间的大气越多，就越蓝，对比越弱，边缘越模糊。运用此法则可在风景或任何有深度的场景中创造令人信服的空间感。

6. Value Scale Formula | 明度梯度公式

A full range of values is the skeleton of realistic drawing and painting. A standard 10-step value scale runs from pure white (value 10) to pure black (value 1). Mid-tone grey sits at value 5. Without a minimum of five distinct values in your work, forms will appear flat. Aim to include highlights, light mid-tones, mid-tones, dark mid-tones, and shadows as a basic recipe.

完整的明度范围是写实素描与绘画的骨架。标准的10级明度梯度从纯白（明度10）到纯黑（明度1）。中间调灰色位于明度5。如果作品中少于五个明确区分的明度层次，形体就会显得扁平。请争取至少包含高光、浅灰、中间调、深灰和阴影这五个基本配方。

Value 10 White

Value 9

Value 8

Value 7

Value 6

Value 5 Mid-grey

Value 4

Value 3

Value 2

Value 1 Black

7. Colour Harmony Triads | 色彩三和弦定理

Selecting colours that naturally harmonise can be systematised. An equilateral triangle on the colour wheel gives a triadic scheme (e.g., orange, green, violet) – vibrant but balanced. A square or rectangle yields a tetradic scheme. The closer the colours on the wheel, the calmer the effect; the farther apart, the more energetic. Use these geometric formulas to build deliberate colour palettes.

选择自然和谐的色彩可以系统化。在色轮上画一个等边三角形就得到三色组合（如橙、绿、紫）——活跃而均衡。画一个正方形或长方形则得到四色组合。色轮上颜色间距越近，效果越宁静；越远，则越有活力。用这些几何公式来有意识地构建色彩方案。

8. Line Emotion Theorem | 线条情感定理

Lines carry emotional weight. Horizontal lines suggest calm, rest and stability. Vertical lines communicate strength, dignity and formality. Diagonal lines imply movement, action and instability. Curved lines convey softness, comfort and organic flow. Combine these ’emotional equations’ to reinforce the message of your composition – a portrait leaning on verticals feels stately; a stormy sea with strong diagonals feels chaotic.

线条承载着情感分量。水平线暗示平静、休憩与稳定。垂直线传达力量、尊严与正式。对角线意味着运动、行动与不稳定。曲线传达柔和、舒适与有机流动。将这些“情感方程”组合起来，强化你作品的讯息——依赖垂线的肖像画显得庄严；充满强对角线的暴风雨海景显得混乱。

9. Shape and Form Geometry | 形状与形体几何公式

Shapes (2D) become forms (3D) when you add depth using specific modelling signals. The basic formula: a circle becomes a sphere by adding a crescent shadow and a highlight; a square becomes a cube by drawing converging edges; a triangle becomes a cone with a curved base and a single vanishing-point shadow. Practice these geometric transformations until they become instinctive, because almost every object can be built from these primitives.

当你用特定的建模信号加入深度时，形状（二维）就变成了形体（三维）。基本公式：一个圆加上新月形阴影和高光就变成球体；正方形通过绘制汇聚的边变成立方体；三角形通过弧形底面和单点投影变成圆锥体。练习这些几何变换直到它们成为本能，因为几乎每一个物体都可以从这些基本几何体构建出来。

10. Texture Illusion Formula | 纹理错觉公式

Texture in 2D artwork is a trick of mark-making. The formula: observe the surface’s actual pattern, then translate it into rhythmic marks. Rough textures use irregular, multi-directional strokes; smooth textures use blended, even tones. For shiny surfaces, add sharp contrasts and crisp highlights. For matte surfaces, keep the tonal transitions gradual and soft. The more variety in your mark types, the richer the tactile illusion.

二维艺术品中的纹理是一种笔触的错觉游戏。公式为：观察表面实际纹样，然后将其转化为有节奏的笔触。粗糙纹理使用不规则、多方向的线条；光滑纹理使用均匀过渡的色调。对于有光泽的表面，加入鲜明对比和干脆的高光；对于哑光表面，保持色调渐变逐渐而柔和。你笔触类型的种类越多，触觉错觉就越丰富。

11. Balance Symmetry Theorem | 平衡与对称定理

Visual balance can be symmetrical (mirror-like) or asymmetrical. Symmetry creates order and calm, but can become static. The asymmetrical balance formula: a small, dark, or complex shape near the edge can balance a larger, lighter, or simpler shape on the opposite side. This is visual ‘weight’ – think of a seesaw where intensity and position compensate for size. Use this theorem to keep your composition stable without being boring.

视觉平衡可以是对称的（如镜面反射），也可以是不对称的。对称创造秩序与宁静，但可能显得呆板。不对称平衡公式：边缘处一个小而深色或复杂的形状可以平衡另一侧一个大而浅色或简单的形状。这就是视觉“重量”——想象一下跷跷板，强度和位置弥补了尺寸。运用这一定理让你的构图稳定但不乏味。

12. Repetition and Rhythm | 重复与节奏公式

Repetition of an element – a colour, shape, line or texture – creates visual rhythm, much like a musical beat. Regular repetition feels calm and predictable; irregular repetition creates excitement. The formula for a strong pattern: establish a motif, then vary it slightly in scale, spacing or colour to keep the eye moving. Rhythm prevents a piece from feeling chaotic or accidental; it gives your artwork an underlying pulse.

对一个元素——颜色、形状、线条或纹理——的重复创造出视觉节奏，很像音乐的节拍。规则重复感觉平静而可预测；不规则重复产生兴奋感。强有力图案的公式：建立一个母题，然后轻微地改变其大小、间距或颜色，以保持眼睛移动。节奏能防止作品显得混乱或偶然；它为你的作品提供一种潜在的脉搏。

Published by TutorHao | WJEC Art Revision Series | aleveler.com

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