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The left figure is a given polyhedron. If it is cut from any face, which option cannot be a cross-section of the polyhedron? | <answer> D </answer> | |
A frustum of a cone is shown in the figure below. A small cone is removed from the exact center, and then it is cut from any surface. The following is not a possible cross-section of the frustum: | <answer> D </answer> | |
A regular pyramid is shown in the figure, with a cone removed from the center, and then cut from any face. Which of the following is not a possible cross-section of the object: | <answer> D </answer> | |
A cube has had 3/4 of its upper part cut off as shown in the figure. Now, if it is cut from any face, which of the following is not a possible cross-section of the polyhedron? | <answer> C </answer> | |
A cube is shown with a cone removed from it, then cut from any face. Which of the following is not a possible cross-section of the cube? | <answer> A </answer> | |
Which of the following cannot be a cross-section of the three-dimensional figure formed by a cube with a frustum of a cone removed, if cut from any side? | <answer> D </answer> | |
The cube shown below is obliquely cut along the OMN plane. The most likely cross-section seen from the cutting plane is ( ). | <answer> D </answer> | |
Which of the following four three-dimensional figures cannot be divided by a plane into two identical or mirror-image parts? | <answer> B </answer> | |
Which of the following cannot be a cross-section of the solid figure when cut from any face? | <answer> D </answer> | |
For the given solid figures below, the number of edges of the cross-section obtained by cutting from any face cannot be:
A: 10
B: 5
C: 4
D: 3 | <answer> D </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> D </answer> | |
As shown in the figure, a cylinder is stacked on a cube and then a cylindrical hole is drilled through it. After cutting from any face, which of the following cannot be a cross-section of the solid: | <answer> B </answer> | |
A hollow cylinder is cut obliquely to obtain the object shown in the figure below. Which of the following cannot be a cross-section of this object? ( ) | <answer> B </answer> | |
The left figure is a polyhedron composed of 6 identical small cubes. If it is cut from any face, which of the following is not a possible cross-section of the polyhedron? | <answer> D </answer> | |
The left figure is a combination of two cones. Which option on the right could be its cross-sectional view when cut from any plane? | <answer> B </answer> | |
The left figure is a three-dimensional diagram of a certain part. Which option on the right does not belong to the cross-sectional view of this three-dimensional figure? | <answer> C </answer> | |
The left figure is a given solid shape. If it is cut from any face, which of the following cannot be a cross-section of the solid shape? | <answer> B </answer> | |
The left figure is a given solid shape. If it is cut from any face, which option on the right cannot be a cross-section of the solid shape? | <answer> D </answer> | |
The left figure is a given solid figure. From any angle, which option on the right cannot be its cross-section? | <answer> D </answer> | |
The left figure is a given solid. From any angle of cross-section, which option on the right cannot be its cross-sectional view? | <answer> C </answer> | |
The left figure is a given solid. From any angle of cross-section, which option on the right cannot be its cross-sectional view? | <answer> A </answer> | |
The left figure is a given solid. From any angle of cross-section, which option on the right cannot be its cross-sectional view? | <answer> B </answer> | |
The left figure is a given cube. When cut from any angle, which option on the right cannot be its cross-section? | <answer> A </answer> | |
The left figure is a three-dimensional shape formed by cutting a rectangular prism with a square cross-section from a circular cone. If cut from any side, which of the following is not a possible cross-section of this three-dimensional shape? | <answer> D </answer> | |
The left figure is a given polyhedron. If it is cut from any face, which of the following cannot be a cross-section of the polyhedron? | <answer> D </answer> | |
The left figure is a given hollow three-dimensional shape. If it is cut from any side, which of the following could be a cross-section of the three-dimensional shape? | <answer> B </answer> | |
The left figure is a given solid figure. If it is cut from any face, which of the following is not a possible cross-section of the solid figure? | <answer> C </answer> | |
The left figure is a given solid shape. If it is cut from any face, which of the following could be a cross-section of the solid? | <answer> D </answer> | |
The left figure is a given solid shape. If it is cut from any face, which of the following could be the cross-section of the solid shape? | <answer> C </answer> | |
The left figure is a given solid figure. If it is cut from any face, what is the cross-section of the solid? | <answer> D </answer> | |
The figure on the left is a combination of a cylinder and a quadrangular pyramid. If cut from any side, which of the following is not a possible cross-section of this solid figure? | <answer> D </answer> | |
Given a three-dimensional shape composed of four identical cubes, which of the following cannot be a cross-section of the shape when cut from any side? | <answer> A </answer> | |
The option most likely to combine with the three-dimensional figure on the left to form a complete cube is: | <answer> C </answer> | |
The following is the front and rear view of a polyhedron composed of 18 white cubes and 3 gray cubes of the same size. This polyhedron can be divided into a combination of four polyhedra: ①, ②, ③, and ④. Which of the following can fill in the question mark? | <answer> A </answer> | |
If the two three-dimensional figures on the left are placed on the table, which outline of the figure is least likely to be seen from directly in front of the table? ( ) | <answer> A </answer> | |
On the left, the three-dimensional figure has only one square face shown in the picture as black. Which of the following options is least likely to be composed of three figures from the left? ( ) | <answer> D </answer> | |
The silhouette of an object composed of two identical regular triangular prisms is least likely to be ( ). | <answer> D </answer> | |
①, ②, ③, and ④ are four polyhedral parts. Which one of the polyhedral parts A, B, C, or D cannot be combined with any of ①, ②, ③, or ④ to form a rectangular prism? | <answer> D </answer> | |
Which of the following three-dimensional figures can be combined to form three-dimensional figure ①, which is composed of figures ②, ③, and ④, to fill in the question mark? | <answer> B </answer> | |
Which option below can form a rectangular prism with ① and ②? | <answer> D </answer> | |
On the left side of the following figures is a complete cube. By adding the option from below in the middle and on the right, the complete cube on the left can be formed. | <answer> D </answer> | |
Which of the following three-dimensional figures can be composed of ①②③: | <answer> C </answer> | |
Which of the following options is inconsistent with the given geometric figure in the diagram: | <answer> C </answer> | |
Which of the following options can be combined with the given figure to form a cube? ( ) | <answer> C </answer> | |
Which of the following options can be combined to form a 3×3×3 cube block:
A: 1, 2, 3
B: 2, 3, 4
C: 1, 3, 4
D: 2, 3, 5 | <answer> C </answer> | |
Which of the following options, when folded, can combine with the given figure to form a complete whole? | <answer> B </answer> | |
Which of the following cannot be placed in the position of the question mark, given that the three-dimensional figure ① is composed of three-dimensional figures ②, ③, and ④? | <answer> B </answer> | |
The following is the front view and rear view of a polyhedron formed by stacking cubes of the same size. This polyhedron can be divided into a combination of four polyhedra: ①, ②, ③, and ④. Which of the following can fill in the question mark? | <answer> D </answer> | |
The following figure is a given polyhedron. Which of the following polyhedra can be combined with the given polyhedron to form a solid rectangular prism? | <answer> A </answer> | |
The polyhedron shown below is composed of 20 identical small cubes. Which polyhedron, along with ① and ②, can be combined to form this polyhedron? | <answer> A </answer> | |
Below ① and ② are the front view and rear view of a given solid figure, respectively. This solid figure is composed of three identical shapes, then the figure is: | <answer> A </answer> | |
From the given four options, select the one that can form a 9×2 block combination as shown in the figure with the given parts ①, ②, ③, and ④. | <answer> C </answer> | |
Choose the most suitable option from the given four choices to embed into the black area of the figure in the question stem to form a complete cube: | <answer> B </answer> | |
Choose the most suitable option from the given four choices to fill in the question mark, so that the three-dimensional figures ①, ②, ③, and ④ can form a complete rectangular prism. | <answer> C </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> C </answer> | |
Choose the most suitable option from the given four options to assemble the figure in the question stem. | <answer> A </answer> | |
As shown in the figure, the following objects are composed of small cubes in pure black and pure white. Which of the objects ① and ② is formed by stacking 5 of object ③?
A: Only object ① is possible
B: Only object ② is possible
C: Both objects ① and ② are possible
D: Neither object ① nor ② is possible | <answer> C </answer> | |
The figure on the left is a polyhedron composed of 18 identical cubes. This polyhedron can be divided into 3 identical smaller polyhedra. The smaller polyhedra are: | <answer> A </answer> | |
The left figure shows the front view and rear view of a polyhedron stacked with identical cubes. This polyhedron can be composed of three polyhedra: ①, ②, and ③. Which of the following can fill in the question mark? | <answer> D </answer> | |
The left figure shows the front and rear views of a polyhedron stacked with identical cubes. This polyhedron can be composed of three polyhedra: ①, ②, and ③. Which of the following can fill the question mark? | <answer> B </answer> | |
The left figure shows the front and rear views of a polyhedron stacked from identical cubes. This polyhedron can be composed of three polyhedra: ①, ②, and ③. Which of the following can fill the question mark? | <answer> C </answer> | |
The figure on the left is a polyhedron stacked with identical cubes, which can be composed of three polyhedra: ①, ②, and ③. Which of the following can fill in the question mark? | <answer> D </answer> | |
The three-dimensional figure on the left is composed of ①, ②, and ③. Which of the following cannot be placed in the question mark? | <answer> B </answer> | |
The three-dimensional figure on the left is composed of ①, ②, and ③. Which of the following can be placed in the question mark? | <answer> A </answer> | |
After a cube is cut, the remaining part is shown on the left in the figure below. Which option on the right shows the shape of the removed part? | <answer> B </answer> | |
The shape of the removed part of the cube is shown in the following figure. The shape of the removed part is: | <answer> C </answer> | |
In the following diagram, the lower part shows horizontal projections of gable roofs with the same perimeter but different sizes. The projection that matches the upper roof is:
A: A
B: B
C: C
D: D | <answer> C </answer> | |
Which one of the following four three-dimensional figures is different from the other three? | <answer> D </answer> | |
Which of the following is the front elevation view of the given figure in the question? | <answer> A </answer> | |
The following three views are obtained by observing a certain polyhedron. Then the solid figure cannot be ( ). | <answer> A </answer> | |
Which of the following options cannot be the views (front view, top view, side view) of the given three-dimensional figure? | <answer> D </answer> | |
Among the four options on the right side of the figure below, the one that incorrectly presents the four views of the part on the left is: | <answer> A </answer> | |
Among the four figures on the right, except for ( ), all are projections of the three-dimensional object on the left. | <answer> D </answer> | |
The following is a given three-dimensional figure, its front view and left view are: | <answer> C </answer> | |
Below are the side view, front view, and top view of a certain three-dimensional figure. Please select the option that matches it from the choices below: | <answer> C </answer> | |
Below are a three-dimensional figure composed of cuboids and its left view and rear view. Then the top view of the three-dimensional figure is ( ). | <answer> C </answer> | |
The given three-dimensional models below have the correct left view and front view in the option: | <answer> B </answer> | |
The following three orthographic projections correspond to three geometric solids in sequence. The correct corresponding order of the three geometric solids is:
A: ②①③
B: ②③①
C: ①③②
D: ③①② | <answer> A </answer> | |
Among the following four options, which one matches the top view and left view of the 3D figure on the left: | <answer> B </answer> | |
The following four options are the top view and left view of the three-dimensional figures, all of which are correct: | <answer> D </answer> | |
Select the only option from the four figures to fill in the question mark, so that it presents a certain regularity. | <answer> C </answer> | |
Select the only option from the four figures to fill in the question mark, so that it presents a certain regularity. | <answer> D </answer> | |
Select the only option from the four figures to fill in the question mark, so that it presents a certain pattern: | <answer> C </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> A </answer> | |
Choose the most appropriate option from the four given choices to fill in the question mark, so that it presents a certain regularity. | <answer> A </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> D </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> C </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> D </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> A </answer> | |
Choose the most appropriate option from the given four choices to fill in the question mark, so that it presents a certain regularity: | <answer> B </answer> | |
In the options on the right, ( ) is not a projection of the three-dimensional figure on the left. | <answer> C </answer> | |
As shown in the figure, the top view of the given object cannot be ( ). | <answer> B </answer> | |
As shown in the figure are views of an object from two angles, then the object is most likely to be: | <answer> B </answer> | |
The left figure is a three-dimensional diagram of two equal cylinders intersecting perpendicularly. The view in the direction of the arrow is ( ). | <answer> A </answer> | |
The left figure is a given polyhedron. From any angle, which of the following is not a possible view of the polyhedron? | <answer> D </answer> | |
The left figure is a given polyhedron. From any angle, which of the following could be a view of this polyhedron? | <answer> B </answer> | |
The left figure is a given polyhedron. Which of the following options could be a view of this polyhedron? | <answer> B </answer> | |
Divide the following six figures into two categories, so that each category of figures has its own common characteristics or patterns. The correct classification is:
A: ①②③, ④⑤⑥
B: ①④⑤, ②③⑥
C: ①⑤⑥, ②③④
D: ①④⑥, ②③⑤ | <answer> D </answer> | |
The one that matches the top view is: | <answer> C </answer> | |
Choose the most appropriate option from the four given choices to fill in the question mark, so that a certain pattern is formed. | <answer> B </answer> |
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