| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | D. 63 |
D |
| deepseekr1 | The equation given is \( \frac{2}{9} = \frac{14}{?} \). To solve for the missing number, cross-multiply: \[ 2 \times ? = 9 \times 14 \] Calculate \( 9 \times 14 = 126 \), so: \[ 2 \times ? = 126 \implies ? = \frac{126}{2} = 63 \]. Verification: Substituting 63 into \( \frac{14}{63} \) simplifies to \( \frac{2}{9} \), confirming correctness. Other options (14, 16, 15) do not satisfy the equation. **Answer: D** |
D |
| gpto1 | D | D |
| GPT-4o | To find the number that makes the statement true, we need to solve the proportion: \[ \frac{2}{9} = \frac{14}{?} \] Let's denote the unknown number by \( x \). The statement can be written as: \[ \frac{2}{9} = \frac{14}{x} \] To find \( x \), we can cross-multiply: \[ 2 \cdot x = 9 \cdot 14 \] Solving for \( x \): \[ 2x = 126 \] \[ x = \frac{126}{2} \] \[ x = 63 \] So the number that makes the statement true is 63. Answer: D |
D |
| llama3.1-70B-Instruct | To find the number that makes the statement true, we need to find the value of x that makes the equation: 2/9 = 14/x We can cross-multiply to get: 2x = 14 × 9 2x = 126 x = 126/2 x = 63 So, the correct answer is: D. 63 |
D |
| llama3.1-405B-Instruct | D. 63 |
D |
| DeepSeek-Coder-V2 | D. 63 | D |
| Qwen2-72B-Instruct | D. 63 | D |
| baichuan4 | D | D |
| doubao | D. 63. 2/9 = 14/x, cross multiply gives 2x = 14×9 = 126, x = 126÷2 = 63. |
D |
| minimax | To solve the proportion 2/9 = 14/x, we can cross-multiply to find the value of x: 2 * x = 9 * 14 Now, solve for x: x = (9 * 14) / 2 x = 126 / 2 x = 63 So the correct answer is: D. 63 |
D |
| kimi | To solve this problem, we need to find the number that makes the fraction \( \frac{2}{9} \) equal to \( \frac{14}{x} \). We can set up the equation as follows: \[ \frac{2}{9} = \frac{14}{x} \] To find \( x \), we cross-multiply: \[ 2 \cdot x = 9 \cdot 14 \] \[ 2x = 126 \] Now, divide both sides by 2 to solve for \( x \): \[ x = \frac{126}{2} \] \[ x = 63 \] So the correct answer is: Answer: D. 63 |
D |
| wenxinyiyan | D. 63 Explanation: This is a problem involving fractions. The statement is saying that 2/9 is equal to 14 over some unknown number. To solve this, set up the fractions equal to each other: 2/9 = 14/x where x is the unknown number. Then, cross multiply to get: 2x = 126. Divide both sides by 2 to solve for x: x = 63. |
D |
| zhipu | To find the number that makes the statement \( \frac{2}{9} = \frac{14}{?} \) true, we can set up a proportion and solve for the unknown. Given: \[ \frac{2}{9} = \frac{14}{x} \] Cross-multiply to solve for \( x \): \[ 2x = 9 \times 14 \] \[ 2x = 126 \] Divide both sides by 2: \[ x = \frac{126}{2} \] \[ x = 63 \] Therefore, the number that makes the statement true is 63. Answer: D. 63 |
D |
| gpto1 | D | D |
| deepseekv3 | To solve the equation: \[ \frac{2}{9} = \frac{14}{?} \] Let the unknown number be \( x \). Then: \[ \frac{2}{9} = \frac{14}{x} \] Cross-multiply to solve for \( x \): \[ 2x = 14 \times 9 \] \[ 2x = 126 \] \[ x = \frac{126}{2} = 63 \] Thus, the correct answer is: \[ \boxed{D} \] |
D |