问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: The weight of an object on the moon, m, is about q of the object’s weight on Earth, e. Which equation represents the approximate weight of an object on the moon in terms of the object's weight on Earth?
A. m = 1/6 + e
B. m = e/6
C. m = 6+e
D. m = 6e
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. m = e/6
B
deepseekr1

The weight on the moon (m) is a fraction of the weight on Earth (e). Since the moon's gravity is about 1/6th of Earth's, the correct equation is **m = e/6**, representing the moon weight as one-sixth of Earth's weight.

Answer: B
B
gpto1 B B
GPT-4o The correct answer is:

B. m = e/6
B
llama3.1-70B-Instruct

B
B
llama3.1-405B-Instruct

B
B
DeepSeek-Coder-V2 B. m = e/6 B
Qwen2-72B-Instruct B. m = e/6 B
baichuan4 B. m = e/6 B
doubao B

It is given that the weight of an object on the moon (m) is about 1/6 of the object's weight on Earth (e), so m = e/6.
B
minimax B. m = e/6 B
kimi B. m = e/6 B
wenxinyiyan B

【分析】

本题主要考察的是如何根据文字描述建立数学模型,特别是线性方程。题目描述了一个物体在月球上的重量与其在地球上的重量之间的关系,需要选出正确的数学表达式来表示这种关系。

【解答】

解:根据题目描述,``一个物体在月球上的重量,$m$,大约是它在地球上重量,$e$,的$\frac{1}{6}$''。这句话可以直接转化为数学表达式。

1. 首先,识别出关键信息:月球上的重量($m$)和地球上的重量($e$)之间的关系是$\frac{1}{6}$倍。
2. 接着,将这个关系转化为数学表达式。由于$m$是$e$的$\frac{1}{6}$,所以表达式应为 $m = \frac{e}{6}$。
3. 最后,与给出的选项进行比对,确认正确答案。

对照选项,我们发现选项B:$m = \frac{e}{6}$ 与我们得出的表达式一致。

故选B。
B
zhipu B. m = e/6

The weight of an object on the moon is approximately one-sixth of its weight on Earth. Therefore, the equation representing this relationship is \( m = \frac{e}{6} \). Hence, the correct answer is B.
B
gpto1 B B
deepseekv3 The question states that the weight of an object on the moon, \( m \), is about \( q \) of the object’s weight on Earth, \( e \). This implies that the weight on the moon is a fraction of the weight on Earth.

Looking at the options:

A. \( m = \frac{1}{6} + e \) – This suggests that the weight on the moon is \( \frac{1}{6} \) plus the weight on Earth, which is incorrect.

B. \( m = \frac{e}{6} \) – This suggests that the weight on the moon is \( \frac{1}{6} \) of the weight on Earth, which matches the given information.

C. \( m = 6 + e \) – This suggests that the weight on the moon is 6 plus the weight on Earth, which is incorrect.

D. \( m = 6e \) – This suggests that the weight on the moon is 6 times the weight on Earth, which is incorrect.

Therefore, the correct answer is B.

Answer: B
B