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Let’s take a look at this year’s college entrance examination math questions and try to let ChatGPT answer them.
The best question in this year’s college entrance examination mathematics, the 12th multiple-choice question (multiple-choice question) is really a test of students’ spatial imagination and flexibility of thinking. There is so much knowledge that everyone can do it. Let me tell you which answers to choose, fill in the building
Question: Among the following objects, which ones can be put into a cube container with side length 1 (unit: m) as a whole (the thickness of the container wall is ignored)
- A sphere with a diameter of 0.99m
- B A tetrahedron with all edges 1.4m long
- C A cylinder with a base diameter of 0.01m and a height of 18m
- D A cylinder with a base diameter of 1.2m and a height of 0.01m
ChatGPT-3.5 solves this college entrance examination math problem
To determine which objects fit entirely into a 1-meter cube container, we need to calculate the maximum size of each object and compare it to the size of the container.
A. A sphere with a diameter of 0.99 meters:
The diameter of the sphere is smaller than the edge length of the container, so it can be put into the container as a whole.
B. A tetrahedron with all sides 1.4 meters long:
The maximum dimension of a tetrahedron is the length of its longest diagonal, and the length of a tetrahedron’s diagonal can be calculated by applying the Pythagorean theorem. Each face is an equilateral triangle with a side length of 1.4 meters, so the height of the tetrahedron can be expressed as √(1.4^2 – (1.4/2)^2) ≈ 1.214 meters.
The maximum dimension of the tetrahedron is 1.4 meters, which is larger than the edge length of the container, so the tetrahedron cannot be put into the container as a whole.
C. A cylinder with a base diameter of 0.01 meters and a height of 1.8 meters:
The diameter of the cylinder is smaller than the edge length of the container, so it can be put into the container as a whole.
D. A cylinder with a base diameter of 1.2 meters and a height of 0.01 meters:
The height of the cylinder is smaller than the edge length of the container, so it can be put into the container as a whole.
To sum up, the objects that can be put into a cube container with a side length of 1 meter as a whole are:
A. A sphere with a diameter of 0.99 meters
C. A cylinder with a base diameter of 0.01 meters and a height of 1.8 meters
D. A cylinder with a base diameter of 1.2 meters and a height of 0.01 meters
The mathematical solution given by ChatGPT3.5, its choice is ACD
ChatGPT-4 solves this college entrance examination math problem
This question is about the understanding of shape and size in solid geometry.
First, we need to remember that all faces of the cube are equal, which means that in this case, the length, width and height of the container are all 1m. Then we consider each option:
A Sphere with a diameter of 0.99m: The diameter of the sphere is less than the length of any side of the container, so this sphere can fit inside the container.
B A tetrahedron with all sides of 1.4m: The side length of the tetrahedron is greater than any side length of the container, so this tetrahedron cannot be placed in the container.
C A cylinder with a bottom diameter of 0.01m and a height of 1.8m: the height of this cylinder exceeds the height of the container, so it cannot be placed in the container.
D A cylinder with a base diameter of 1.2m and a height of 0.01m: the base diameter of this cylinder exceeds the length or width of the container, so it cannot be placed in the container.
Therefore, only option A – a sphere with a diameter of 0.99m, can be integrated into a cube container with an edge length of 1m.
The solution given by ChatGPT-4, it thinks only A is
Conclusion: Can ChatGPT solve math problems in the college entrance examination?
Judging from this question, neither ChatGPT3.5 nor ChatGPT4 can completely give the correct solution. But for option A, the mathematical analysis thinking of the two ( ChatGPT ) is not bad, and it may be that option A is obvious.
For option B, a little calculation is required, but ChatGPT4 is more mentally handicapped, and 3.5 is calculated seriously, although the conclusion obtained is wrong.
Option B is possible, just fit the tetrahedron into the cube, and the dime is the square root of 2 greater than 1.4m
My answer to this question is ABD.
There are a total of 1122 Chinese characters in this article, count it right.
ChatGPT (3.5 and 4) solves the math problems of the 2023 college entrance examination . ( AMP mobile acceleration version )
The post ChatGPT (3.5 and 4) Solving Math Problems for the 2023 College Entrance Examination first appeared on Xiao Laizi’s British Life and Information .
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