跨学科数学 You may feel that Maths is difficult and boring. Is it possible that you've been looking at Maths in the wrong way? Li Xing, a Maths professor, thinks Maths can be beautiful and fun. I completely agree with him.
Numbers are beautiful
There is Maths hidden in beautiful human bodies. Measure(测量) the length from your head to your belly button(肚脐) and from your belly button to your feet. The ratio(比例) of these two numbers is always around 0.618. This is called the "golden ratio". You can see it in many places, like in nature, in music, and in paintings.
In Chinese poems, we can also see the beauty of numbers. Li Bai wrote "I've sailed a thousand li through Three Gorges in a day" and "My skiff(轻舟) has left ten thousand mountains far away"—all these numbers show how fast Li Bai travelled and how happy he felt.
Curves(曲线) are beautiful
"Sine curves" are beautiful. They go towards the two opposite directions on and on without ever ending. When you look at them, you may feel like standing by the sea and watching the waves slowly moving. A "tangent curve" is like a waterfall—just as Li Bai wrote, "Its torrent dashes(猛冲) down three thousand feet from high".
Formulas(公式) are beautiful
There are some amazing formulas. In a right-angled triangle(直角三角形), the square of the longest side is equal to the sum of the squares of the other two sides. How amazing! Just as Chinese-American mathematician Shiing-Shen Chern said, "Maths is fun!"
任务一 选择正确答案
1. If the ratio of a thing is around 0.618, .
A. it has a golden colour
B. it only happens in human bodies
C. it looks like a human body
D. it might bring people a sense of beauty
2. Why does the writer mention Li Bai and his poems in the passage?
A. To introduce the topic.
B. To support his opinion.
C. To share the beauty of Li Bai's poems.
D. To offer advice on learning Maths.
3.（创新考法·图片理解）What does a tangent curve look like?

4. What is the passage mainly about?
A. Why Maths is beautiful and fun.
B. Why Maths is difficult and boring.
C. How we can learn Maths in a right way.
D. How Maths helps us live a better life.
任务二 回答问题（每个题目的答案不超过5个单词）
1. What are two examples of numbers showing beauty?
2. How can sine curves make people feel?
3. Who said Maths is fun in the passage?

任务一
1. D 推理判断题。根据“There is Maths hidden in beautiful human bodies ... The ratio of these two numbers is always around 0.618 ... in nature, in music, and in paintings.”可知，如果人体的分割比例是0.618，那么这具身体是富有美感的；而在自然、音乐和绘画中，处处可见黄金比例。由此可推知，如果一个事物的比例约为0.618，那么这个事物可以带给我们美感。
2. B 推理判断题。根据“In Chinese poems, we can also see the beauty of numbers. Li Bai wrote ... all these numbers show how fast Li Bai travelled and how happy he felt.”可知，作者提到李白的诗歌是为了展示诗歌中的数字美，以此支撑“数学是美丽的”这一观点。
3. C
4. A 主旨大意题。根据文中小标题和“Just as Chinese-American mathematician Shiing-Shen Chern said, 'Maths is fun!'”可知，本文主要通过一些例子来说明数学的美以及数学带来的乐趣。
任务二
1. The golden ratio and poems. 2. Like watching sea waves.
3. Shiing-Shen Chern.

【分析】
本题为跨学科英语阅读理解题，需结合文本内容与数学相关概念解题。任务一的1题需根据黄金比例的应用场景推理其意义；2题需分析举例的作用；3题需匹配正切曲线的图像；4题需概括文章主旨。任务二需从文本中提取具体信息，注意答案字数限制。
【解析】
任务一：1. 根据文中“黄金比例在人体、自然、音乐、绘画中体现美”，可知比例约0.618的事物能带来美感，故选D；2. 作者举李白诗歌的例子是为了支撑“数学是美丽的”这一观点，故选B；3. 文中提到正切曲线像瀑布，对应图像C（A为正弦曲线，B为余弦曲线，D为抛物线），故选C；4. 文章围绕数学的美和乐趣展开，故选A。任务二：1. 从“黄金比例”和“李白诗歌中的数字”提取信息，答案为The golden ratio and poems；2. 文中提到正弦曲线让人感觉像看海浪，答案为Like watching sea waves；3. 文中提到说“Maths is fun”的是Shiing-Shen Chern。
【答案】
任务一：1.D 2.B 3.C 4.A；任务二：1.The golden ratio and poems. 2.Like watching sea waves. 3.Shiing-Shen Chern.
【知识点】
英语阅读理解、推理判断、主旨大意
【点评】
本题结合数学知识的英语阅读题，既考查英语文本理解能力，又涉及数学概念的应用，需要学生跨学科整合信息，难度适中。
【难度系数】
0.6