With 9 matches, how to put them in order to make 6 squares?

With 9 matches, how to put them in order to make 6 squares?


According to the analysis, the figure is as follows:



It takes 4 matchsticks to place a square with a matchstick, 7 matchsticks to place two squares in a row, and 10 matchsticks to place three squares in a row______ One matchstick, with 100 matchsticks can even swing______ There is a square like this


According to the meaning of the title, the number of matchsticks = 1 + 3 × the number of squares. To place 20 squares, you need matches: 1 + 3 × 20 = 61 (pieces), and 100 matches can place squares: (100-1) △ 3 = 33 (pieces). So you need 61 matchsticks to place 20 squares in a row, and 33 such squares can be placed with 100 matchsticks in a row



With 9 matches, how to put them in order to make 6 squares?


According to the analysis, the figure is as follows:



Nine matches and three squares


Put it into a regular triangular prism, and the three sides are square



In a five regular triangle composed of nine matches, can you move two at a time so that the regular triangles of the graph are 4, 3, 2 and 1 respectively?


It can form five regular triangles
Move 2 at a time, so that the regular triangles of the graph are 4, 3 and 2 respectively
One is not very mobile



Put 9 matchsticks into 4 equilateral triangles, and move only 2 matchsticks to make it into 5 equilateral triangles
The shape is two parallelograms next to each other. There is a left slash in the middle of the parallelograms, forming four regular triangles


Seven matches encircle three equilateral triangles (isosceles trapezoid); at this time, add two matches. If these two matches are placed at the waist or bottom of the trapezoid, four equilateral triangles will be obtained, and if they are placed at the top, five equilateral triangles will be obtained



Three matches can make an equilateral triangle. Can you make five equilateral triangles with nine matches? How many equilateral triangles can six matches make at most?


Six up to four regular triangles



Three matchsticks can make one equilateral triangle. Can you make five equilateral triangles with nine matchsticks? How many equilateral triangles can you make with six matchsticks at most?
Come on, there will be a reward!


Three dimensional graphics, two triangles together



You can make 7 equilateral triangles with 9 matches. How many equilateral triangles can you make with 6 matches?


There are restrictions. The sides of an equilateral triangle should be equal to the length of a match. Otherwise, too many can be created. Use six to build four. Imagine a space tetrahedron. See the explanation in the resources. Nine to build seven are two space tetrahedrons, sharing one bottom. How can I draw a space graph? Well, think about it like this: one



Make equilateral triangle with matchstick
(1) Spell six equilateral triangles whose sides are equal to the length of the stick to see who uses the least stick
(2) How many equilateral triangles can you build if the equilateral triangles are not in the same plane?
(3) There are several ways to make two equilateral triangles with the length of the matchstick equal to the length of the matchstick. How many matchsticks at least


(1) In space, it is placed in the form of two regular tetrahedrons buckled together, and three matches at the bottom are shared, so it is
Nine in all
(2) 8
(3) At least 5 matches are required; (a diamond with an angle of 60 ° connects the short diagonal in the middle)