1. Among the following geometric figures, the one that does not belong to polyhedron is ().
A.( 1)(2) B.( 1)(3)
C.(2)(3) D.(2)(4)
2. The following figure can be folded into a cube is ().
3. The following statements: ① Cuboids and cubes are prisms; ② The sides of the triangular prism are triangles; ③ Among the three views of the cone: the front view and the left view are isosceles triangles, and the top view is a circle and a center; ④ The three views of the sphere are all graphics of the same size; ⑤ A regular hexagonal prism has six sides, and the sides are rectangles (including squares). Among them, there are () kinds of correct statements.
A.2 B.3 C.4 D.5
4. A right-angle prism has 18 vertices, so its face number is ().
a . 12 b . 1 1 c . 10d . 9。
5. In the picture below, it is impossible to fold into a cuboid without a cover ().
6. There is a cubic paper box in the picture, and its three sides are triangle, square and circle respectively. Now use a pair of scissors to cut it into a flat figure along its edge, so the unfolded picture should be ().
7. A small cube with a side length of 1cm constitutes the geometry as shown in the figure, so the surface area of this geometry is ().
A.36cm2 B.33cm2 C.30cm2 D.27cm2
8. The top view of the geometry composed of several identical small cubes is shown in the figure. The number in each small square indicates the number of small cubes stacked on the layer, so the left view of the geometry is ().
9. The left view of the geometry composed of four small cubes with the same size is shown in the figure, so the geometry cannot be constructed by ().
10. Figure (1) is a small cube placed horizontally, and Figures (2) and (3) are just the superposition of such small cubes. Continue to stack according to this rule until the seventh stack, and the total number of small cubes should be ().
A.25 B.66 C.9 1 D. 120
2. Fill in the blanks (9 small questions in this question, 15, 16, 19, 2 points each, the remaining 3 points, ***30 points).
1 1. A geometric shape surrounded by several _ _ _ _ is called a polyhedron.
12. The rules that must be followed in drawing three views are: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.
13. A regular prism is surrounded by _ _ _ _ _ _ faces with _ _ _ _ _ edges and _ _ _ _ _ vertices.
14. The six faces of the cube are represented by 2, 3,
One of the numbers 4, 5, 6 and 7,
The picture on the right shows three different ways to place the cube. When 3 is present,
When it is on the top, the number below is _ _ _ _ _ _ _ _ _.
15. The length, width and height of two identical rectangles are 5cm, 4cm and 3cm respectively, and they are stacked together to form a new cuboid. In this new cuboid, the volume is and the maximum surface area is _.
16. If the unfolded surface as shown in the figure is folded into a cube, and the sum of the two opposite numbers is 6, then
x=_______，y=。
17. As shown in the figure, the geometry composed of some identical small cubes has three views, so these same small cubes _ _ _ _ _ _ _ blocks are needed.
18. If there is a cylinder with a square side development diagram and its bottom circumference is, then its side area is _ _ _ _ _.
(Results are reserved).
19. Build a geometry with a small cube to make its front view and top view as shown in the figure. To build such a geometry, it needs at most _ _ _ _ _ _ _ _ _ _ and at least _ _ _ _ _ _ _.
Second, the answer (this question is 4 small questions, each small question 10 points ***40 points)
20. The picture shows the geometry composed of several small cubes. Please draw three views of the geometry.
2 1. The following figure is the top view of the geometry composed of several small cubes. The number in the small cube indicates the number of small cubes stacked in this position. Please draw the front and left views of this geometry.
22. The figure shows three views of a right-angle prism.
(1) Please describe the shape of this right-angled prism;
(2) Drawing the surface development diagram according to the drawing size of the three views;
(3) If the actual dimensions of the three views are as shown in the figure, find the lateral area of this right-angle prism.
23. As shown in the figure, the length, width and height of a cuboid are 6cm, 5cm and 4cm respectively. An ant runs along a cuboid.
The surface climbs from point A to point B to find the shortest path length for ants to crawl.