The first chapter is a rich graphic world.

(Total score: 100; Time: minutes)

Name and student number score

I. Fill in the blanks (2 points for each question, 36 points for * * *):

1. A cone is surrounded by _ _ _ _ _ _ _, among which _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _.

2. In a prism, the intersection of any two adjacent faces is called _ _ _ _ _ _, and the intersection of two adjacent sides is called _ _ _ _ _ _.

3. Starting from a vertex of a polygon, connecting this vertex and other vertices respectively can divide the polygon into ten triangles, so the number of sides of the polygon is _ _ _ _ _.

4. Euler, a great mathematician, discovered and proved that the formula of the relationship between the vertex (V), the number of edges (E) and the number of faces (F) of a polyhedron is _ _ _ _ _ _ _ _ _ _ _ _ _.

5. It is known that a triangular prism has 5 faces, 6 vertices, 9 sides, a quadrangular prism has 6 faces, 8 vertices, 12 sides, a pentagonal prism has 7 faces, 10 vertices, 15 sides, ..., from which it can be inferred that an n prism has _ _ _ _ faces.

6. The surface development diagram of the cylinder is _ _ _ _ _ _ _ _ _ _ _ _ _ _ (described in language).

7. The shape of the cylinder cross section can be _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. Write at least two articles, and you can write more, but don't make mistakes.

8. Build a geometry with a small cube, so that its front view and top view are as shown in the figure. Such a geometry should have at least _ _ _ cubes and at most _ _ cubes.

9. It is known that the six numbers from 1 to 6 are written on the six faces of an opaque cube, as shown in the three situations we have seen, so the opposites of 1 and 5 are _ _ _ _, and _ _ _ _ respectively.

10. Write two geometric bodies with the same shape in the three views: _ _ _ _ _ _ _ _ _ _ _ _.

Second, multiple-choice questions (3 points for each question, ***24 points):

1 1, the cross section of the following geometry can't be round, but ().

A, cylinder b, cone c, sphere d, prism

12, the side of the prism is ()

Triangle b, rectangle c, pentagon d, diamond.

13, the side expansion of the cone is ()

A, rectangle b, square c, circle d, sector

14. The front view, top view and left view of the cylinder standing on the horizontal plane are () respectively.

Rectangle, circle, rectangle b, rectangle, rectangle, circle

C, circle, rectangle, rectangle D, rectangle, long main shape, circle

15, the geometric figure formed by the rotation of a semicircle around its diameter is ().

A, cylinder b, cone c, sphere d, cube

16, the cross section of the cube can't be ()

A, quadrilateral b, pentagon c, hexagon d, heptagon.

17 as shown in the figure, the top view of the object is ()

A, B, C, D,

18, the following plane graphics can't be cubic ().

A, B, C, D,

Iii. Answering questions (***40 points):

19. Point out what the following plane figure is (6 points):

B

20. As shown in the figure, this is a top view of a geometry composed of small cubes, and the numbers in the small cubes indicate the number of small cubes in this position. Please draw its front view and left view (8 points).

2 1. classify the following geometric figures and explain the reasons (8 points).

22. Draw three views of the following geometric figures (9 points).

23. It is known that the following figure is three views of a geometric figure: (1) Write the name of this geometric figure; (2) Draw its surface development diagram at will; (3) If the length of the front view is 10 and the side length of the triangle in the top view is 4, find the lateral area of this geometric figure. (9 points) I hope it will help you! ! ! !