📚 Year 7 OCR Art: Formula & Theorem Quick Reference Handbook | Year 7 OCR 艺术：公式定理速查手册
Art might look like pure freedom and self-expression, but the greatest works throughout history are built on visual formulas and theorems. These 'rules' govern composition, proportion, colour and depth. For a Year 7 OCR Art student, understanding these concepts isn't about limiting creativity – it's about giving you a set of reliable tools you can use, adapt, or even break on purpose. This quick reference handbook gathers the essential formulas you need for drawing, painting and designing, explained clearly and simply.
艺术看起来像是完全自由和自我表达，但历史上最伟大的作品都建立在视觉公式与定理之上。这些“规则”支配着构图、比例、色彩和深度。对于七年级 OCR 艺术学生来说，理解这些概念不是要限制创造力，而是给你一套可靠的工具，让你可以运用、调整，甚至有意打破。这本速查手册汇集了你在素描、绘画和设计中所必需的基本公式，并加以清晰简明的解释。
1. The Golden Ratio (φ) | 黄金比例 (φ)
The golden ratio is approximately 1.618 and is symbolised by the Greek letter φ (phi). When a line is divided into two parts so that the whole length divided by the longer part equals the longer part divided by the shorter part, the proportion is golden. Renaissance artists such as Leonardo da Vinci applied this 'divine proportion' to structure the composition of paintings like the Mona Lisa. You can use a golden rectangle – where the ratio of length to width is 1.618:1 – as a guide for placing your main subject or horizon line.
黄金比例约为 1.618，用希腊字母 φ (phi) 表示。当一条线段被分割成两部分，使得整体长度与较长部分的比值等于较长部分与较短部分的比值时，这个比例就是黄金比例。文艺复兴时期的艺术家如莱昂纳多·达·芬奇，将这种“神圣比例”用于构建《蒙娜丽莎》等画作的构图。你可以使用长宽比为 1.618:1 的黄金矩形，作为放置主要主体或地平线的参考。
Many natural forms – from nautilus shells to sunflower seed heads – show the golden ratio. When you deliberately use it in your artwork, viewers often feel a subconscious sense of harmony and balance. Even if you don't measure precisely, keeping the ratio in mind helps avoid boring, centred compositions.
许多自然形态——从鹦鹉螺壳到向日葵花盘——都展现出黄金比例。当你在作品中刻意运用它时，观众往往会下意识地感到和谐与平衡。即使不精确测量，心中记住这个比例也有助于避免呆板的居中构图。
2. Rule of Thirds | 三分法构图
Divide your page or canvas into nine equal rectangles by drawing two equally spaced horizontal lines and two equally spaced vertical lines. The rule of thirds states that the most important elements of your composition should be placed along these lines, or at any of their four intersections (called power points). For instance, placing a person's eyes on the top horizontal line and their body on a vertical line instantly makes a portrait more engaging than dead-centring it.
用两条等距的水平线和两条等距的垂直线，将你的纸面或画布分成九个相等的矩形。三分法指出，构图中最重要的元素应当放置在这些线条上，或者它们所形成的四个交叉点（称为兴趣点）上。例如，把人物的眼睛放在顶部水平线上，身体放在一条垂直线上，会立即使肖像比完全居中更有吸引力。
Landscape artists often align the horizon with either the upper third or the lower third. A high horizon emphasises the foreground, while a low horizon opens up the sky. This simple formula helps avoid splitting the picture in half, which tends to look static and less professional.
风景画家常常把地平线与上三分之一线或下三分之一线对齐。高地平线强调前景，而低地平线则展示广阔的天空。这个简单的公式有助于避免将画面切成两半，那样往往显得呆板且不够专业。
3. Colour Wheel & Harmony Formulas | 色轮与和谐公式
The colour wheel arranges hues in a circle, typically starting with the three primary colours: red, yellow and blue. Secondary colours (orange, green, purple) sit between them, and tertiary colours fill the gaps. By choosing colours based on their positions on the wheel, you can follow colour harmony formulas that always produce visually pleasing combinations. Think of these as your colour mixing recipes.
色轮将色相排列在一个圆圈上，通常从三原色开始：红、黄、蓝。间色（橙、绿、紫）位于它们之间，复色填补其余空隙。根据颜色在色轮上的位置来选择颜色，你可以遵循总能产生视觉愉悦组合的色彩和谐公式。把这些看作你的色彩混合配方。
Understanding the temperature of colours is also part of the formula. Colours from red to yellow are considered warm; they advance toward the viewer. Colours from green to violet are cool; they recede. Combining warm and cool tones strategically adds depth to your artwork.
理解色彩的冷暖也是公式的一部分。从红到黄的颜色被视为暖色，它们向观众靠近。从绿到紫的颜色是冷色，它们向后退。有策略地结合冷暖色调可为作品增添深度。
4. Complementary Colour Scheme | 互补色公式
Complementary colours sit directly opposite each other on the colour wheel. Classic pairs include red and green, blue and orange, and yellow and purple. When you place these colours side by side, they intensify each other, creating maximum contrast and a vibrant, energetic feel. This is why many sports teams use complementary colour combinations.
互补色在色轮上处于正对面的位置。经典的搭配包括红与绿、蓝与橙、黄与紫。当你把这些颜色并排放置时，它们会互相强化，产生最大的对比度和充满活力、精力充沛的感觉。这就是为什么许多运动队使用互补色组合。
To use the complementary formula effectively, avoid using equal amounts of both colours, as this can cause visual vibration and feel uncomfortable. Instead, let one colour dominate (say 70-80% of the area) and use its complement for details, highlights or a focal point. Desaturating one of the colours slightly can also soften the effect.
要有效运用互补色公式，应避免等量使用两种颜色，因为这会导致视觉振动并令人不适。相反，让一种颜色占主导（例如占 70-80% 的面积），用其互补色作为细节、高光或焦点。稍微降低其中一种颜色的饱和度也能柔化效果。
5. Analogous Colour Scheme | 类似色公式
An analogous colour scheme uses colours that are neighbours on the colour wheel, usually a group of three. For example, yellow, yellow-orange and orange, or blue, blue-green and green. Because these colours share a common hue, they blend harmoniously and create a serene, unified mood. Nature is full of analogous schemes – think of autumn leaves transitioning from yellow to red.
类似色方案使用色轮上相邻的颜色，通常是一组三种。例如，黄、黄橙和橙，或者蓝、蓝绿和绿。因为这些颜色共享一个共同的色调，它们可以和谐地融合，营造出宁静、统一的氛围。自然界中充满了类似色方案——想想从黄变红的秋叶。
When working with analogous colours, choose one as the dominant colour, use the second for support, and the third – often the darkest or most saturated – for accents. Be mindful to include enough contrast in value (lightness and darkness) so that the artwork doesn't look flat and boring.
在处理类似色时，选择一种作为主色，第二种用于支撑，第三种——通常是最暗或饱和度最高的——用于点缀。注意要在明度（明暗）上包含足够的对比度，以免作品看起来平淡乏味。
6. Triadic Colour Scheme | 三色公式
A triadic colour scheme uses three colours that are evenly spaced around the colour wheel, forming an equilateral triangle. The most famous triad is the primary colours: red, yellow and blue. Another strong triad is the secondary colours: orange, green and purple. This formula delivers bold, lively results while maintaining clear balance.
三色方案使用在色轮上均匀分布的三种颜色，形成一个等边三角形。最著名的三色组是三原色：红、黄、蓝。另一个有力的三色组是三间色：橙、绿、紫。这个公式能产生鲜明活泼的效果，同时保持清晰的平衡。
Triadic schemes can easily become overpowering if all three colours are used at full saturation. A safer approach is to let one colour dominate and use the other two sparingly, or tone down the saturation of all three. This way, the composition remains energetic without turning chaotic.
如果三种颜色都以全饱和度使用，三色方案很容易变得过于强烈。一个更保险的方法是让一种颜色占主导，另外两种少量使用，或者降低所有三种颜色的饱和度。这样，构图既能保持活力，又不会变得混乱。
7. One-Point Perspective Formula | 一点透视公式
One-point perspective creates depth on a flat surface by using a single vanishing point placed on the horizon line. The horizon line represents the viewer's eye level. All lines that are parallel to each other and recede into the distance converge at that one point. Objects become smaller as they move closer to the vanishing point, following a precise scaling rule.
一点透视通过在水平线上设置一个消失点，在平面上创造出深度感。水平线代表观者的视线高度。所有互相平行并向远处延伸的线条都汇聚到这一个点上。物体越接近消失点就显得越小，遵循着精确的缩放规则。
To draw a simple corridor or road in one-point perspective, first draw the horizon line and mark the vanishing point. Then draw the front face of your object or the nearest part of the scene. Connect its top and bottom corners to the vanishing point. All vertical lines remain vertical, and horizontal lines that face the viewer stay horizontal. This formula is the foundation of realistic space.
要用一点透视画出简单的走廊或道路，首先画出水平线并标出消失点。然后画出物体的正面或场景最近的部分。将其顶部和底部的角连接到消失点。所有垂直线保持垂直，面向观众的横向线保持水平。这个公式是写实空间的基础。
8. Two-Point Perspective Basics | 两点透视基础
Two-point perspective is used when the subject is viewed from an angle, so that two sets of parallel lines recede to two different vanishing points on the horizon line. Unlike one-point perspective, most lines are diagonal, but all vertical lines remain perfectly vertical. This formula is ideal for drawing buildings from a corner view or still-life arrangements with books and boxes.
两点透视用于从某个角度观看主体时，两组平行线分别向水平线上两个不同的消失点延伸。与一点透视不同，大部分线条都是斜线，但所有垂直线保持绝对垂直。这个公式非常适合从转角角度绘制建筑物，或者画带有书本和盒子的静物布置。
To start a two-point perspective sketch, place two vanishing points far apart on your horizon line. Draw the nearest vertical edge of the object. Connect the top and bottom of this edge to both vanishing points. All additional verticals stay vertical and are cut off by the converging lines. The object appears solid and three-dimensional.
要开始一个两点透视草图，先在水平线上相隔较远的地方放置两个消失点。画出物体最近的垂直边。将这条边的顶部和底部分别连接到两个消失点。所有额外的垂直线保持垂直，并由汇聚线截断。物体看起来将坚实且三维。
9. Proportions of the Human Face | 人脸比例公式
The human face follows a remarkably consistent set of proportional guidelines that artists have relied on for centuries. When drawing a front-view face, start by sketching an oval. Draw a vertical line down the centre and a horizontal line exactly halfway between the top of the head and the chin – this is the eye line. The eyes are usually one eye-width apart, and the face is about five eye-widths across.
人脸遵循着一套相当一致的比例准则，艺术家们已经依赖这些准则数个世纪。在绘制正面脸部时，先画一个椭圆形。在正中央画一条垂直线，并在头顶到下巴的中间位置画一条水平线——这是眼睛线。双眼之间通常相距一只眼的宽度，面部宽度大约是五只眼睛的宽度。
The bottom of the nose is positioned halfway between the eye line and the chin. The mouth line is roughly one-third of the way down from the nose to the chin. The ears align with the eyes at the top and the bottom of the nose at the bottom. These relationships form a reliable formula that can be adjusted for individual character while maintaining realism.
鼻底位于眼睛线到下巴的中间位置。嘴巴线大约在鼻底到下巴的下三分之一处。耳朵的顶部与眼睛对齐，底部与鼻底对齐。这些关系构成了一套可靠的公式，可以在保持真实性的同时为不同的个体特征进行调整。
10. Fibonacci Sequence in Composition | 斐波那契构图
The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, and so on. When you draw squares with these side lengths and connect their opposite corners, you create a beautiful spiral called the golden spiral or Fibonacci spiral. This spiral is seen in hurricanes, galaxies and the whorls of a pinecone.
斐波那契数列是这样一组数字，其中每个数字都是前两个数字之和：1, 1, 2, 3, 5, 8, 13, 21……以此类推。当你以这些数字为边长画出正方形并连接它们对角相对的点，就会形成一个美丽的螺旋线，称为黄金螺旋或斐波那契螺旋。这个螺旋出现在飓风、星系和松果的鳞片排列中。
In art, the Fibonacci spiral acts as a path for the viewer's eye. By placing the main subject at the centre of the spiral and arranging secondary elements along the curve, you can lead the viewer through your composition seamlessly. Many famous paintings and photographs use this hidden formula to tell a visual story.
在艺术中，斐波那契螺旋充当观众视线的路径。通过将主要主体放在螺旋的中心，并沿着曲线安排次要元素，你可以无缝地引导观众浏览你的构图。许多著名的绘画和照片都运用了这个隐藏的公式来讲述视觉故事。
11. Value Scale Formula (Shading) | 明度尺度公式（调子）
A value scale is a strip of tones running from pure white to pure black, showing smooth, even steps in between. A standard formula for realistic shading includes at least five distinct values: highlight (the lightest area where light hits directly), light mid-tone, mid-tone, dark mid-tone (core shadow area), and cast shadow. Some artists expand this to nine or ten steps for finer control.
明度尺度是一个从纯白到纯黑的色调条带，显示出其间平滑均匀的过渡。写实明暗调子的标准公式至少包括五个不同的层次：高光（光线直接照射的最亮区域）、浅灰调、中等灰调、深灰调（明暗交界线区域）和投影。有些艺术家将其扩展到九到十级，以获得更精细的控制。
Mastering this formula turns flat shapes into believable 3D forms. Practise by shading a sphere: leave a small white area for the highlight, gradually darken around the form, and ensure the darkest part isn’t at the very edge but slightly before it, where reflected light bounces back. This rule creates the illusion of volume.
掌握这个公式能将平面形状变成可信的三维形体。通过给球体上调子来练习：留出一个小白点作为高光，围绕形体逐渐加深，并确保最暗的部分不是在最边缘，而是在稍靠前的位置，那里有反射光回弹。这条规则创造了体积的错觉。
12. The Rule of Odds in Composition | 构图中的奇数法则
Compositions that feature an odd number of subjects – such as 3, 5, or 7 elements – tend to feel more dynamic and visually engaging than those with even numbers. When we see an even grouping, our brain easily pairs them off, creating a sense of static symmetry. An odd number forces the eye to move around the arrangement, seeking out the relationship between the unpaired element and the rest.
采用奇数个主体的构图——比如 3、5 或 7 个元素——往往比偶数个更富有动感和视觉吸引力。当我们看到偶数群组时，大脑很容易将它们配对，产生一种静止的对称感。而奇数会迫使视线在画面中游移，寻找那个不成对元素与其他元素之间的关系。
This rule is especially useful in still life drawings, floral arrangements, or when painting a group of figures. You can still achieve balance by placing the odd number of objects asymmetrically, using the rule of thirds as a guide. The rule of odds doesn't mean you can never use even numbers; it's simply a formula for lively, natural-looking design.
这个法则在静物素描、花卉安排或绘制一组人物时特别有用。你可以通过将奇数个物体不对称地放置，并以三分法为指导，仍能获得平衡感。奇数法则并不意味着你永远不能用偶数；它只是一个让设计更生动、更自然的公式。
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