跨学科数学 You may feel that math is difficult and boring. Is it possible that you've been looking at math in the wrong way? Li Xing, a math professor at Ningxia University, thinks math can be beautiful and fun. I completely agree with what he said.
Numbers are beautiful There is math 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. As Li Bai wrote, "My skiff(小船) has left ten thousand mountains far away." and "I have sailed a thousand miles through Three Georges in a day."—all these numbers show how fast Li Bai traveled 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. The "tangent curve" is like a waterfall, just as Li Bai wrote, "Dashing(猛冲) down three thousand feet from on 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, "Math is fun!"
任务一 选择正确答案
1. Why does the writer mention Li Bai and his poems in Paragraph 3?
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 math.
2.（创新考法·跨学科融合）What does a tangent curve look like?
3. What is the passage mainly about?
A. Math is beautiful and fun.
B. Math is difficult and boring.
C. How we can learn math in a right way.
D. How math helps us live a better life.
任务二 回答问题
1. What are two examples of numbers showing beauty?
2. How do sine curves make people feel?
3. What is an amazing fact about right-angled triangles?
4. Who said math is fun in the passage?
5. Why might math seem beautiful to you?（请自拟一句话作答）
Numbers are beautiful There is math 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. As Li Bai wrote, "My skiff(小船) has left ten thousand mountains far away." and "I have sailed a thousand miles through Three Georges in a day."—all these numbers show how fast Li Bai traveled 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. The "tangent curve" is like a waterfall, just as Li Bai wrote, "Dashing(猛冲) down three thousand feet from on 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, "Math is fun!"
任务一 选择正确答案
1. Why does the writer mention Li Bai and his poems in Paragraph 3?
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 math.
2.（创新考法·跨学科融合）What does a tangent curve look like?
3. What is the passage mainly about?
A. Math is beautiful and fun.
B. Math is difficult and boring.
C. How we can learn math in a right way.
D. How math helps us live a better life.
任务二 回答问题
1. What are two examples of numbers showing beauty?
The golden ratio and poems.
2. How do sine curves make people feel?
People feel like watching sea waves.
3. What is an amazing fact about right-angled triangles?
The square of the longest side is equal to the sum of the squares of the other two sides.
4. Who said math is fun in the passage?
Shiing-Shen Chern.
5. Why might math seem beautiful to you?（请自拟一句话作答）
Because it is in poems and art.
答案：教材拓展学习 Further study
[语篇解读]本文从数字、曲线、公式三个方面介绍数学，展现数学有趣又美好的一面。
任务一
1. B 推理判断题。根据“In Chinese poems, we can also see the beauty of numbers. As Li Bai wrote ... all these numbers show how fast Li Bai traveled 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，即支撑自己的观点。
2. C 跨学科融合题。根据“The ‘tangent curve’ is like a waterfall, just as Li Bai wrote, ‘Dashing down three thousand feet from on high.’”可知，“正切曲线”如瀑布，正如李白所言，“飞流直下三千尺”。结合选项的图形，C选项符合。
3. A 主旨大意题。根据文中小标题和“Math is fun!”可知，本文主要说明数学的美和趣味。
任务二
1. The golden ratio and poems. 2. People feel like watching sea waves. 3. The square of the longest side is equal to the sum of the squares of the other two sides. 4. Shiing-Shen Chern. 5. Because it is in poems and art.(言之有理即可)
[语篇解读]本文从数字、曲线、公式三个方面介绍数学，展现数学有趣又美好的一面。
任务一
1. B 推理判断题。根据“In Chinese poems, we can also see the beauty of numbers. As Li Bai wrote ... all these numbers show how fast Li Bai traveled 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，即支撑自己的观点。
2. C 跨学科融合题。根据“The ‘tangent curve’ is like a waterfall, just as Li Bai wrote, ‘Dashing down three thousand feet from on high.’”可知，“正切曲线”如瀑布，正如李白所言，“飞流直下三千尺”。结合选项的图形，C选项符合。
3. A 主旨大意题。根据文中小标题和“Math is fun!”可知，本文主要说明数学的美和趣味。
任务二
1. The golden ratio and poems. 2. People feel like watching sea waves. 3. The square of the longest side is equal to the sum of the squares of the other two sides. 4. Shiing-Shen Chern. 5. Because it is in poems and art.(言之有理即可)
解析：
【分析】本题为跨学科融合题，需先提取文中对正切曲线的描述，再结合选项图像的特征判断。文中提到正切曲线像瀑布，同时正切函数的图像过原点，在对应区间内呈单调变化，据此匹配选项。
【解析】根据文中“The ‘tangent curve’ is like a waterfall”，结合正切曲线的图像特征：正切曲线过原点，在定义域内呈单调变化；观察选项，A为正弦曲线，B为余弦曲线，C符合正切曲线特征，D为抛物线，故答案为C。
【答案】C
【知识点】正切函数图像、跨学科融合
【点评】本题结合语文诗句考查数学曲线图像，需准确提取文中信息并对应图像特征，体现了学科间的融合性。
【难度系数】0.6
【解析】根据文中“The ‘tangent curve’ is like a waterfall”，结合正切曲线的图像特征：正切曲线过原点，在定义域内呈单调变化；观察选项，A为正弦曲线，B为余弦曲线，C符合正切曲线特征，D为抛物线，故答案为C。
【答案】C
【知识点】正切函数图像、跨学科融合
【点评】本题结合语文诗句考查数学曲线图像，需准确提取文中信息并对应图像特征，体现了学科间的融合性。
【难度系数】0.6