With six matches, you can t break them, and you can form up to four equilateral triangles of the sam

Of course, this is the high school geometry, which can form a three-dimensional, and the specific method is as follows:

First use three matches to form an equilateral triangle, and then one match from each of the three vertices, and put the other ends of these three matches together to form three three-dimensional equilateral triangles, plus the following one, a total of 4.

To build a (three-dimensional) triangular pyramid. Three matches are the base, first arranged into an equilateral triangle. The other three are crossed diagonally by the three vertices at the previous point, and they are completed.

Regular triangular pyramid To build a (three-dimensional) triangular pyramid. Three matches are the base, first arranged into an equilateral triangle. The other three are crossed diagonally by the three vertices at the previous point, and they are completed.

Of course, this is the three-dimensional geometry of high school, which is a tetrahedron with six matches.

Make a three-dimensional triangular pyramid with four sides and six sides, each of which is an equilateral triangle.

In the three-dimensional space, you want to enclose three matches into a triangular shape, and then put one point of another three matches on each of its three vertices, and then put the other point together, which is a three-dimensional figure of a regular tetrahedron.

Just make a regular triangular pyramid.

Nature:

An equilateral triangle (also known as a regular trilateral) is a triangle with three equal sides, and its three internal angles are equal, all of which are 60°, and it is a type of acute triangle. Equilateral triangles are also the most stable structure.

Equilateral triangles are special isosceles triangles, so equilateral triangles have all the properties of isosceles triangles.

Determination method. A triangle with three equal sides is an equilateral triangle (definition).

A triangle where the three internal angles are equal is an equilateral triangle.

There is an isosceles triangle with an internal angle of 60 degrees, which is an equilateral triangle.

Two triangles with an internal angle of 60 degrees are equilateral triangles.

The bottom is arranged with three matches to form an equilateral triangle. Then stand and place three matches, and put together four equilateral triangles.

As shown in the figure below, eight equilateral triangles can be placed.

The figure is a square row (each side is made up of two matches) and inside is the word "m" (made up of eight matches), and then the four matches that are not diagonal lines of the square row can be removed.

A triangle is a closed figure composed of three line segments in the same plane that are not on the same straight line, which are connected sequentially, and have applications in mathematics and architecture.

Common triangles are divided into ordinary triangles (the three sides are not equal) and isosceles triangles (isosceles triangles with unequal waists and bases, and isosceles triangles with equal waists and bottoms, that is, equilateral triangles); According to the angle, there are right triangles, acute triangles, obtuse triangles, etc., of which acute triangles and obtuse triangles are collectively referred to as oblique triangles.

Judgment: 1. The three sides corresponding to the two triangles are equal, and the two triangles are congruent, referred to as "edge edge edge" or "sss"."；

2. The two sides corresponding to the two triangles and their angles are equal, and the two triangles are congruent, referred to as "corner edges" or "SAS";

3. The two corners corresponding to the two triangles and their intersections are equal, and the two triangles are congruent, referred to as "corners" or "ASA";

4. The two corners corresponding to the two triangles and the opposite side of one of the corners are equal, and the two triangles are congruent, referred to as "corner edges" or "AAS";

5. One hypotenuse and one right-angled side corresponding to two right-angled triangles are equal, and the two right-angled triangles are congruent, referred to as "hypotenuse, right-angled side" or "hl".

This problem cannot be completed in a flat plane, and needs to be spliced into a regular Mitsubishi coneal (three-dimensional form).

Explanation and analysis: Start by using three matches to form a regular triangle on the table.

Then use three matches, respectively, from the three vertices of the triangle to erect up, and the upper ends of the three erected matches are touched together to form a regular three-dimensional triangle, with a total of four regular triangle faces.

Use spatial graphics to form a regular tetrahedron.

That is, 3 matches form a regular triangle, in addition, one end of the three matches coincides with the vertex of the triangle, and the other 3 ends coincide with the other point.

It's a three-dimensional standard triangular pyramid.

Thinking produces thoughts, and brain power is always new!

To make the maximum number of rides, just stare at the orange to build a triangular pyramid, at this time Chuntan most Kaisen group can build more than 4 of the same triangle figure is as follows:

Yes. First use three matches to form an equilateral triangle, and then put a match on each of the three median lines of the triangle key leakage in this round before the lighting, so that it is OK.

Use one positive and one negative two equilateral triangles to overlap a part, and the intersection part can form two small equilateral triangles, two large and two small for a total of four. Here's a demonstration of how to do it:

First, the first is to use a three-fight digging match to make an equilateral triangle.

2. Then take out the fourth match and place it parallel to one of the sides of the triangle.

3. Then take out the fifth match parallel to the bottom of the triangle and the fourth match at an angle of 60 degrees.

Fourth, finally take out the sixth match and connect the first.

Fourth, the fifth two matches, then you can form a second large triangle, and the intersection of the two triangles outside the silver blind will form two small equilateral triangles.

The 15 are divided into 12 and 3 and arranged into an equilateral triangle.

Then move the three sides of 3 to the three corners of 12.