The question of intelligence six sticks how to arrange three equilateral triangles

You first use six sticks to make 2 equilateral triangles, and then you can overlap the 2 equilateral triangles on top of each other to create an equilateral triangle. You can't have a sticker on it, I don't know if I'm making it clear.

Hehe, have you ever seen a checkers board?

How many triangles are there?

Have you solved your problem?

It's not enough to have a stick like this, I want to sleep so badly, and it's really nerve-wracking to see this question and I can't sleep.

Swing one of the 3 sticks first.

Then use the fourth bar to press on the median line of the triangle you just had. and symmetry.

The 5th and 6th bars form a triangle with the fourth bar.

The intersection of the two triangles is a regular triangle.

But it's not a flat surface either. Give the hook to the first one who can judge the unsolvable.

Put two equilateral triangles together with the bottom ground, half the length of each other, and partially overlapping.

This leaves 2 full-length equilateral triangles and a half-sided equilateral triangle in between.

That is, two equilateral triangles side by side, and then move half a side length in the middle.

If you can't put it on a flat surface.

The so-called overlapping practice upstairs actually violates the "one plane" limit. One stick pressed on the other, can this be called a flat surface?

If this overlap is also considered a plane, wouldn't it be better to put a regular tetrahedron and an extra triangle.

It is estimated that the landlord was also tested by others. Please tell the person who took the test that if you ask for a plane, there is no answer. If it overlaps, it is still considered flat, and there is more than one way to swing, and it is very simple.

If you can intersect, you can put it out.

Connect the dots and you're looking for it.

How do you make 4 triangles with 6 wooden sticks of equal length? According to Euler's theorem in polyhedra: the sum of the number of points and the number of faces, minus the number of edges, is equal to 2.

The number of edges is 6, and the number of faces is 4, so the number of points is 4; Since a triangle is 3 vertices, in addition to the 3 vertices being shared, the 4th vertex is also used together.

(5) Wrap a triangle around the nail board.

You know that there are many objects around you that have triangular faces, can you make a triangle on the nailing board? Gather around each other and show each other at the same table (help each other if you have difficulties). Then show the class different shapes of triangles.

6) Swing triangles.

Can you make a triangle with 6 sticks of the same length?

After the placement, the group evaluates each other and selects outstanding representatives to show.

7) Can we fold a square of paper into two identical triangles, and a rectangular piece of paper, can you also fold two identical triangles? Take out a rectangular piece of paper and fold it to see who is the smartest.

Of course, there are no two on the side...

There are 8 types of triangles that can be posed.

The first type: the bottom is two small sticks, the two sides are accompanied by a small stick and two small sticks, and the last small stick is placed at the apex position to extend to the bottom position, so that there are 8 kinds of triangles.

The second type: with the following six small sticks, you can pose 5 kinds of triangles: the first type. The second, third, fourth, and fifth, these three numbers represent the number of small sticks on the three sides.

The third type: first use three small sticks to make a triangle. Then use three small sticks to make a mouth shape under the triangle, just like the word "he". Remove the horizontal above the mouth under the ligature, and it is a small house made of six small sticks and reeds.

3 small sticks of equal length can be placed in a triangle, and 7 sticks can be placed in 3 triangles.

1. The nature of the triangle

The nature of the triangle mainly explains the relationship between the inner angles of the triangle, the bisector of the side or corner of the triangle, the middle line or the high side of the relationship, according to the type of triangle can also be divided into the nature of equilateral triangles, the properties of isosceles triangles, and the properties of right triangles. Kaizen.

1. The basic properties of triangles:

The sum of the two sides of the triangle is greater than the three sides, and the difference between the two sides is less than the three sides; The sum of the three interior angles of a triangle is equal to 180°; The triangle has stability.

On a plane, the sum of the internal angles of a triangle is equal to 180° (sum of internal angles theorem). On a plane, the sum of the outer angles of a triangle is equal to 360° (sum of outer angles and theorem). On a plane, the outer angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it.

2. Properties of equilateral triangles:

The three inner angles of an equilateral triangle are all equal, and each inner angle is 60°; Each side of an equilateral triangle has the property of "three lines in one", which is the bisector of the angle, the middle line on the edge, and the high overlap on the edge. An equilateral triangle is an axisally symmetrical figure, and the axis of symmetry is a "perpendicular bisection" of three sides, and there are three in number.

3. The nature of the isosceles triangle:

The two base angles of an isosceles triangle are equal (isosceles to equinox); The bisector of the top angle of the isosceles triangle, the middle line on the bottom edge, and the high overlap on the bottom edge coincide, that is, the "three lines in one" of the isosceles triangle.

4. The nature of a right triangle:

The three inner angles of the equilateral triangle are all equal, and each inner angle is 60°; Each side of an equilateral triangle has the property of "three lines in one", that is, the angle bisector, the middle line on the edge, and the high overlap on the edge; An equilateral triangle is an axisymmetric figure, and the axes of symmetry are three "perpendicular bisects" with three quantities.

2. Triangular features:

1. The corresponding sides of similar triangles are proportional, and the corresponding angles are equal.

2. The ratio of the corresponding sides of a similar triangle is called the similarity ratio.

3. The ratio of the perimeter of a similar triangle is equal to the ratio of similarity, and the ratio of area is equal to the square of the ratio of similarity.

4. The ratio of the corresponding line segments (angle bisection, middle line, height) of similar triangles is equal to the similarity ratio.

It's actually easy to make three equilateral triangles, but it's just that two triangles are meant to be common.

2 triangles share one stick, only 5 sticks are needed, and the remaining 2 sticks share a stick with a triangle to make a third triangle.

In this way, 7 sticks are placed in 3 triangles.

It's very simple, first use 3 matches to spell a 4, and then use 3 matches to spell a triangle, which is 4 triangles (someone has done it for me, correct answer).<

According to the analysis of the former stuffy blind Chang, as shown in the figure below, three triangles of the same size can be left by removing the red part.

Huishen Bend. <>