Passage 2(2026·南通市南通一中月考)
The mid-term test has just passed. And the final exam is already on its way. Still worried about your Maths? You may feel it is difficult and boring. Is it because the way you look at Maths is not right? Teens talked with Li Jun, a Maths teacher at Nantong University. We interviewed him if Maths can be beautiful and fun. Here's what Li said.
Many people today want to have beautiful looks. But there is maths in beautiful human bodies. The length from your head to your belly button and the length from your belly button to your feet have a ratio（比率）that is always around 0.618. This is the golden ratio, and we can see it everywhere, like in nature, music, and drawings. In Chinese poems, we can also see the beauty of numbers, which reminds us of a line, “”—the numbers show how fast Li Bai travelled and how happy he felt.
Besides numbers, beauty can also be found in curves(曲线). Just like sine curves, they go to the two opposite directions and never stop. When you look at them, you may feel like a waterfall by the sea watching the water moving slowly. While the tangent curve is like a waterfall. That is really like “going down three thousand feet from high”. If you do a maths problem and get that curve, you'll feel excited and fun.
What's more, formulas can also be beautiful. Take a look at Euler's Formula: $ e^{iπ} + 1 = 0 $. The number “e” is an irrational number(无理数), whose digits(位数) go on and on and never stop. “π” is also such an irrational number. However, when these two numbers come together, things become different!
()1. 新考法 信息回填 Which line can best fill in “”?
A. 碧玉妆成一树高 B. 千里家书动隔秋 C. 轻舟已过万重山 D. 百万雄师过大江
()2. 新考法 图片选择 Which picture shows the tangent curve?
A.
()3. What can be inferred from the passage?
A. $ e^{iπ} $ isn't an irrational number.
B. Li Jun thinks maths is difficult and boring.
C. We can't often see the golden ratio in the drawings.
D. The tangent curve is always three thousand feet high.
()4. Which of the following is the best title for this passage?
A. Difficult and Boring: This is How Maths Like
B. Doing Maths Problems: Feeling Excited and Fun
C. Beauty in Maths: Interviewing a Maths Teacher
D. Numbers in Poems: Stories Between Li Bai and Maths

1. C 【解析】根据空后的“the numbers show how fast Li Bai travelled and how happy he felt”可知，这些数字展现了李白旅行的速度和感受到的快乐。C项出自李白所写的《早发白帝城》，最能体现这一特点，符合题干要求。
2. C 【解析】根据第三段中“While the tangent curve is like a waterfall. That is really like ‘going down three thousand feet from high’.”可知，正切曲线像瀑布，从高处往下走，四个选项中只有C项图片与之相符。
3. A 【解析】根据最后一段内容可知，e和π都是无理数，但是当这两个数凑在一起时，情况就发生了变化，换言之，它们在一起时的数不是无理数。A项表述正确。
4. C

【分析】首先通读全文，明确文章核心是采访数学老师李军，探讨数学的美（黄金比例、曲线、公式）。针对各问题：1题需结合李白的诗，匹配体现旅行速度与快乐的诗句；2题根据文中正切曲线的描述，对应正确图像；3题通过最后一段关于无理数的内容推理；4题归纳文章主旨。
【解析】1. 根据空后“the numbers show how fast Li Bai travelled and how happy he felt”，C项“轻舟已过万重山”出自李白《早发白帝城》，体现行舟速度，符合要求，故选C。2. 文中提到“正切曲线像瀑布，从高处往下”，观察选项图像，C项为正切曲线，符合描述，故选C。3. 最后一段指出e和π都是无理数，结合“when these two numbers come together, things become different”，可知$e^{iπ}$不是无理数，A正确；B项错误，是人们觉得数学难，并非李军认为；C项错误，文中提到黄金比例在绘画中可见；D项错误，是正切曲线像“飞流直下三千尺”，并非真的三千尺高，故选A。4. 文章围绕“数学的美”展开，采访数学老师，C项“Beauty in Maths: Interviewing a Maths Teacher”符合主旨，故选C。
【答案】1.C 2.C 3.A 4.C
【知识点】英语阅读理解、细节理解、主旨大意
【点评】本题为跨学科阅读理解题，结合语文古诗、数学曲线与无理数知识，考查学生细节查找、推理判断及主旨归纳能力，题型新颖，注重综合应用能力。
【难度系数】0.6