(四)

主题:数学与艺术 体裁:议论文 难度:★★★★ 建议用时:8分钟 正确率: /4
跨学科 数学 You might think maths and art are very different. However, they have many surprising relations. Understanding these links can help students learn better by mixing different subjects.
First, let's talk about the golden ratio(比例), a special number in maths. It's about 0.618 and appears in many artworks. For example, artists use it to create balanced and beautiful paintings. Take Leonardo da Vinci's Mona Lisa as an example. The way Mona Lisa is placed in the picture follows the golden ratio. When you learn about this ratio in maths class and then see it in art, you understand both subjects more deeply.
Geometry(几何学), another area of maths, is also important in art. Shapes and angles(角度) help artists draw things that look real. In Leonardo da Vinci's drawing Vitruvian Man, circles and squares show how maths can measure(测量) the human body. By studying geometry in art, students learn to notice shapes more carefully. Besides, modern buildings also use geometric shapes creatively, like the spiral(螺旋形) design of the Guggenheim Museum.
▲ Scientists use numbers to describe different colours. The RGB colour model uses numbers for red, green, and blue. Artists use this to mix the right colours for their paintings. When students learn about colour models in science and apply them in art, they become more creative. They can even use simple rules to pick colours for digital art, connecting technology, maths, and art.
Studying maths and art together not only improves their skills in both subjects but also helps them to think in new ways. Next time you draw a picture or solve a maths problem, remember: maths and art are like two sides of one coin.
()1. According to the passage, what can the golden ratio help artists do?
A. Take beautiful photos.
B. Create balanced paintings.
C. Choose the right colours.
D. Measure the human body.
()2. What is the main purpose of Paragraph 3?
A. To show the history of geometry.
B. To introduce Leonardo da Vinci's works.
C. To explain how geometry helps in art.
D. To compare different art styles.
()3. 新考法 补全文章 Which of the following can be put in " ▲ "?
A. However, artists never use maths in choosing colours.
B. Maths even plays a role in the world of colours.
C. Students should learn more about colours in art class.
D. Scientists and artists always work together.
()4. 新考法 图示理解 Which would be the best theme(主题) picture of the passage?

学霸冲刺篇(每小题2分,满分26分)

【文章大意】本文是一篇议论文,探讨了数学与艺术的联系,通过黄金比例、几何学和色彩模型等例子,说明跨学科学习如何提升理解力和创造力。
1. B 细节理解题。根据第二段“For example，artists use it to create balanced and beautiful paintings.”可知,黄金比例帮助创作平衡的画作。故选B。
2. C 写作意图题。通读第三段,特别是“Geometry，another area of maths，is also important in art. Shapes and angles help artists draw things that look real.”可知,本段通过《维特鲁威人》和古根海姆博物馆等例子,说明几何学如何辅助艺术创作。故选C。
3. B 补全文章题。根据“Scientists use numbers to describe different colours. The RGB colour model uses numbers for red，green，and blue.”可知,本段讲的是数学在色彩领域的应用,B项“数学甚至在色彩世界中扮演着一个重要的角色。”符合语境。故选B。
4. D 图示理解题。全文围绕数学与艺术的交叉关系展开,强调两者结合的价值,D选项的图案同时包含几何、艺术、科学等元素,最能体现本篇文章主题。故选D。

【分析】
这是一篇主题为数学与艺术关联的跨学科议论文阅读，解题时可以按题型逐个突破：
1. 第1题是细节理解题，先提取题干关键词"golden ratio"，直接回文定位到第二段内容，找到黄金比例在艺术创作中作用的对应描述，和选项逐一比对就能选出答案。
2. 第2题是段落写作意图题，先锁定第三段的段首中心句，明确本段核心讨论对象是几何学和艺术的关系，再结合段中给出的《维特鲁威人》、古根海姆博物馆的例子，判断段落的核心表达目的，排除无关选项。
3. 第3题是段首补全类题型，挖空位置是第四段的总起句，需要通读空后的全部内容，发现本段核心介绍数字、数学模型在色彩调配中的应用，选出能总领本段内容的过渡句即可。
4. 第4题是图示理解新考法，需要先抓住全文核心主题：数学和艺术二者紧密关联、相辅相成，选出最贴合这个核心主题的图示即可。
【解析】
1. 细节理解题：根据第二段原文"For example, artists use it to create balanced and beautiful paintings."，可知黄金比例可以帮助艺术家创作出平衡优美的画作，对应选项B。
2. 写作意图题：第三段首句点明几何学在艺术中十分重要，后续通过达·芬奇的《维特鲁威人》、古根海姆博物馆的设计两个例子，具体解释几何学的形状、角度等知识如何辅助艺术创作，对应选项C。
3. 补全文章题：空后内容介绍了科学家用数字描述不同颜色、RGB色彩模型用数值定义三原色的内容，核心是说明数学在色彩领域的应用，B选项可以完美总领本段内容，衔接上下文，符合语境。
4. 图示理解题：全文核心论述数学和艺术二者存在诸多关联，跨学科学习二者可以提升综合能力，同时包含数学、艺术相关元素，体现二者融合关系的图示最符合主题，对应答案D。
【答案】
1. B 2. C 3. B 4. D
【知识点】
英语细节理解，语篇主旨推理，跨学科文本阅读
【点评】
本题属于贴合新课标跨学科融合要求的创新型阅读题，除了常规的细节查找、主旨把握考点之外，还设置了补全段落、图示理解的新考法，既考察学生的英语阅读信息提取、逻辑分析能力，也引导学生理解不同学科之间的内在关联，避免孤立学习单一学科知识。
【难度系数】
0.6