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Parallel and vertical math diary
1, the cuboid has

eight

Vertex, have

six

A face, every face is.

rectangular

Shape can be divided into

three

Groups, the shape and size of the surface in each group are

identical

, the cuboid has

12

Rib, can be divided into

three

Groups, the middle edge of each group

length

Equality;

2. In a cuboid, there are three relationships between edges, namely:

stride

parallel

and

Different planes

As shown in the figure, in the rectangular ABCD-EFGH,

1) The side parallel to the side BC is

Edge FG, uh, AD

2) The edge intersecting with the edge BC is

Edge AB, FB

3) The side different from the side BC is

Edge AE, DH, EF, HG

Any two sides of a cuboid have at most

1

A common point,

If two sides have nothing in common, can they be different? Answer: Not necessarily, it may be parallel imports.

3. In a cuboid, there are two relationships between edges and faces, namely:

parallel

and

Vertical/vertical

As shown in the figure, in the rectangular ABCD-EFGH,

1) The surface perpendicular to the edge DH is

ABCD

2) The edge perpendicular to the surface ADHE is

AB,CD,EF,GH

3) The surface parallel to the edge DH is

FBCG ABFE

4) The edge parallel to the surface ADHE is

BC,CG,GF,FB

We can use

plumb line

Triangular plate bevel gauge

and

Hinge origami

Check whether the straight line is perpendicular to the plane; can use

plumb line

and

Rectangular paper

Test whether the straight line is parallel to the plane.

4. In a cuboid, there are two relationships between planes, namely:

parallel

and

Vertical/vertical

As shown in the figure, in the rectangular ABCD-EFGH,

1) The surface perpendicular to the surface CDHG is

ADHE、EFGH、FGCB、ABCD

2) The surface parallel to the surface CDHG is

ABEF

We can use

plumb line

Triangular plate bevel gauge

and

Hinge origami

To test whether the plane is perpendicular to the plane, you can use

Rectangular pieces of paper check whether the plane is parallel to the plane;