Judge 4 small sticks of the same length to form quadrilaterals of different shapes and sizes

Answer: False.

Explanation Analysis: 4 small sticks of the same length, which can only be placed in a square, have the following characteristics:

1. Edges: two groups of opposite sides are parallel to each other; All four sides are equal; Adjacent edges are perpendicular to each other.

2. Internal angle: The four corners are 90°, and the sum of the internal angles is 360°.

3. Diagonal.

The diagonal lines are perpendicular to each other; The diagonals are equal and bisected from each other; Each diagonal is divided into a set of diagonals.

4. Symmetry: It is a central symmetrical figure.

Again, axisymmetric figures (there are four axes of symmetry.

5. Special properties: A diagonal line of the square divides the square into two congruent isosceles right triangles.

The angle between the diagonal and the side is 45°; The two diagonal lines of the square divide the square into four congruent isosceles right triangles.

Pose an infinite variety of quadrilaterals of different sizes, the minimum area is infinitely close to 0, and the maximum area is the square area = side length and side length.

Yes, square or diamond.

Pose an infinite number of quadrilaterals of different sizes.

With four small sticks of the same length, a variety of quadrilaterals can be posed, what conclusions can be drawn.

If there is a small stick on each side, 5 can make 2 equilateral triangles. You can also just make an isosceles triangle with two small sticks on each waist and one stick on the bottom.

Introduction:

A graphic is a vector illustration made up of outer contour lines. That is, straight lines, circles, rectangles, curves, charts, etc., drawn by a computer.

A graph describes the content of a graph with a set of instructions, such as describing the position, dimensionality, shape, and so on of the various elements that make up the graph. Description objects can be scaled arbitrarily without distortion. In terms of display, graphics use specialized software to convert instructions describing graphics into shapes and colors on the screen.

It is suitable for describing objects with uncomplicated contours and not very rich colors, such as: geometric figures, engineering drawings, CAD, 3D modeling software, etc.

It usually uses the draw program to generate vector graphics, which can be independently moved, scaled, rotated and twisted on vector graphics and primitives. The main parameters are the instructions and parameters that describe the position, dimensionality, and shape of the element.

Figures that cannot be posed with 5 small sticks of the same length:ParallelogramFive small sticks of the same length do not form a parallelogram. According to the characteristics of the parallelogram, Zhaozheng can form a parallelogram as long as there are two groups of equal pairs, and five sides cannot make the two groups of opposites equal respectively, so it cannot be put together into a parallelogram.

A figure that can be posed with 5 sticks of the same lengthWhat kind of shape can be posed with 5 small sticks of the same length, if it is a geometric shape.

That's a pentagon. The inner angles of this pentagon are all equal. That's a regular pentagon.

Its top corners happen to be on a round edge. If the inner angles of the pentagon are not equal, then the shape is only one pentagon. There are no other graphics.

<> four small sticks of the same length can be put together to form a quadrilateral, i.e., a square before the state. A square, which is a special parallelogram.

One. That is, a group of parallelograms with equal adjacent sides and one angle is a right angle is called a square swim lead, also known as a regular quadrilateral.

It has all the characteristics of a rectangular and diamond-shaped.

Quadrilateral: A closed plane figure or three-dimensional figure enclosed by four line segments that are not on the same straight line in turn end to end is called a quadrilateral, which is composed of a convex quadrilateral and a concave quadrilateral. The quadrilateral obtained by God sequentially connecting the midpoints on any quadrilateral is called a midpoint quadrilateral, and the midpoint quadrilateral is a parallelogram.

The midpoint quadrilateral of the rhomboid is rectangular, and the midpoint quadrilateral of the rectangle is rhomboid, isosceles trapezoidal.

The midpoint quadrilateral is a diamond, and the midpoint quadrilateral of a square is a square.

A quadrilateral is a graph made up of four line segments, where for any two line segments, they are not collinear. Therefore, we need to consider the various combinations of quadrilaterals to make this wheel bend problem.

First of all, there is at least 1 quadrilateral that can be posed with 4 small sticks of the same length. This is because, take any 4 small sticks, and if they are not collinear, then you can connect them to form a quadrilateral. If they are collinear, then you will only get 3 line segments, and you will not be able to form a quadrilateral.

Secondly, we need to consider how many different types of quadrilaterals can be posed out by these 4 small sticks. There are several scenarios:

1.Parallelogram: If we place two small sticks together and then connect them with two other small sticks, we can get a parallelogram. Because the two sets of opposite sides of the quadrilateral are parallel.

2.Rectangle: If the three sticks are perpendicular to each other and the fourth stick is perpendicular to one of the others, the four sticks can form a rectangle. Because the adjacent sides of the rectangle are perpendicular.

3.Rhombus: If two rods intersect, and the four rods are of equal length, a rhombus can be formed. Because the four sides of the diamond are all equal in length.

4.Trapezoid: If two dull sticks are parallel, and the other two sticks are not parallel to the two sticks, you can form a trapezoid. Because of the two pairs of sides of a trapezoid, one is parallel and the other is not parallel but intersects.

Therefore, you can use 4 small sticks of the same length to pose the above four different types of quads. It should be noted that the above four types of quadrilaterals also intersect themselves, for example, the rectangle is a special parallelogram, which belongs to the type of quadrilateral. Therefore, the intersection needs to be removed during the calculation.

Without considering the intersection, 4 small sticks of the same length can be posed with at least 4 different types of quadrilaterals, namely a quadrilateral, a parallelogram, a rectangle and a rhombus. If you take into account the commonalities, the final number of different quadrilateral types is 3<>

Three methods.

The long and short sides are: long 6 short 1, long 5 short 2, long 4 short 3.

The nature of the rectangle is: two diagonal lines are equal; The two diagonals are bisected with each other; The two sets of opposite sides are parallel to each other; The two sets of opposite sides are equal; All four corners are right angles; There are 2 axes of symmetry (4 for squares); It is unstable (easily deformed); The square of the diagonal length of the rectangle is the sum of the squares of the two sides; The quadrilateral obtained by sequentially connecting the midpoints of each side of the rectangle is a diamond.

Add at least 3 small sticks of the same length to create another parallelogram. The following uses a straight line instead of a small stick to introduce the specific operation method for reference:

Use four small sticks of different lengths to make sure you can't spell out a diamond.

Four small sticks of the same length can enclose several quadrangular rulers.

Four small sticks of the same length can be said to be enclosed into a quadrangular mausoleum bridge on the surface, and there are two cases of subdivision of the quadrilateral

1. If the four small sticks are perpendicular to each other and the opposite sides are parallel to each other, they can be enclosed into a quadrilateral, which is a square;

Second, if the four small sticks are not perpendicular to each other, but the opposite sides are parallel to each other, the quadrilateral is a diamond. So it can be said that four small sticks of the same length can enclose two quadrilaterals.

Four small sticks of different lengths can be arranged in a triangle.

Or quadrilateral. The three sides of a triangle must follow the principle that the sum of the two sides is greater than the third side, so that the triangle can be posed, otherwise the triangle cannot be spelled. The four small sticks can be put together into any quadrilateral, and they can also be put together into a trapezoid, which is a quadrilateral with two parallel sides above and below.

The Nine Palaces puzzle tricks are as follows:

1) The two small squares in the middle and to the right already contain the number 1. The little cell on the left doesn't have the number 1 yet. As you can immediately imagine, the number 1 must appear in an empty space in the small box on the left.

At the same time, because the first two rows of the grid already have the number 1, the number 1 can only be placed in the empty position in the third row of the small grid on the left.

2) Look at the rest of the lattice. If you look at the 3 small cells in the middle, you will see that the number 2 is similar to the number 1 just now. The number 2 is missing from the upper cell, and the number 2 appears in the 4th and 5th columns, respectively, in the lower two small cells.

So the number 2 can only appear in an empty position in column 6 of the small cell above, but it is not possible to determine which one it is. At this point, Chada has to further determine the position of the number 2 based on the situation of the other rows.

3) The number 2 already appears in the third row, so the number 2 cannot appear in other positions in the third row. In this way, it can be determined that the number 2 should be filled in the second row of the sixth column.

Add at least 3 small sticks of the same length to create another parallelogram.

The following uses a straight line instead of a small stick to introduce the specific operation method for reference:

Pose a parallelogram with small sticks of the same length, using a minimum of 4 small sticks.

Principle: Two sets of quadrilaterals with equal opposite sides are parallelograms.

Highly praised).