How many parallel edges are in the cube. Appears on the screen

    stew cabbage and carrots, it will be delicious! boil potatoes and cook ribs once in the oven tired. although I would stew them separately from vegetables!

    You can go to the doctor for your own peace of mind.

    if you're talking about the lower-right rib - the liver:\u003e

    it is quite simple to understand, for this you need to look at the structure of the skeleton
    we do not take an open fracture into account, when everything is already clear

    in the event of a fracture or a crack in the ribs, with each breath, the fracture site will hurt, when pressing on the rib, the pain will intensify, and fainting is possible. from a prone position, it is almost impossible to get up on your own; when the trunk is lifted, the fractured rib will move.
    on the other hand, there may be a severe injury resulting from a fall (for example). and often people who did not break anything turn to doctors with bruises, believe me, if you broke something and write here - a bruise, in case of a fracture you would not be able to sit straight

    shl. see a doctor anyway

    Where to go from this country, especially since from October 1 I will be unemployed. And there is simply no work in the city.

    The nerve is pinched. It will pass by itself. This is if the ribs. And if it's lung, then maybe cancer. Do you smoke, no?

    advice immediately: blow to the doctor. it's better not to joke with the right side) there is a liver in that area

    UNHEALTHY X ** NYA IMHO

    You are sure that this is just a fracture, and not a severe injury (X-rays are MANDATORY, in both cases. If the fracture is confirmed, then get ready for the fact that a normal life (sports, taxiing, physical activity, severity ) will be available to you in half a year, not earlier (((. It grows together for a long time (the ribs are labile, i.e. mobile, you breathe)) - with a good scenario, 3 months.
    In a month and a half of the current, internal edema disappears (for a long time, due to the fact that the space is closed), by the end of the third, a soft callus is formed, and by the year it is hard; then it begins to dissolve and unpleasant sensations can return (up to three years).
    In no case DO NOT BANDAGE - despite the apparent relief - it interferes with the normal functioning of the lungs. The most important thing is to survive the first month, then it's easier. We are starting to be on friendly terms with ketanol (no more than 6 tablets a day, otherwise you can turn it off). Sleep current on one (not injured) side for 3 months - we monitor this situation CLEARLY !!! For the courage of going from vertical to horizontal, some take both alcohol and pain relievers, such as ketanol. The dose may vary))).
    The main thing is not to drink a lot of liquids, so as not to STAND up again !!! But to get up within the next month. you still have to use such and such a mother (((. From food. Drink less, eat more COLD, but be careful with calcium. The fact is that its excess in the body leads, paradoxically, Therefore, a pack of cottage cheese (or cottage cheese instead of dessert) and Calcium-active tablets (they are inexpensive, but of high quality), a glass of milk per day will be more than enough for you.
    And further. the first week passed ??? Congratulate yourself on this. Now, run to the pool !!! you NEED breathing exercises (the most unpleasant complication of rib fractures - compensatory pneumonia - is difficult and long to treat). The fact is that with such a fracture, deep inhalation and exhalation (and sneezing) are painful for you and the body is adjusted - you imperceptibly begin to breathe "into the floor of the chest", i.e. superficially. And the lower parts of the lungs are not involved in this. The current must be floated carefully, on your feet (with a plank), holding it with one hand (the other is pressed to the body, the one on the sore side). Well, we breathe out into the water. In addition, the water massages the sore spot - it heals faster and the callus disappears quickly. So if you can, swim, the more the better. And yet, do not overcool - sneezing in this state is very difficult))). Good luck !!

Sections: elementary School

Objectives.

  • To acquaint with the cube, its elements, development, application in life. Improve verbal and written computational skills, problem solving skills and converting quantities.
  • Develop mental operations, analysis, synthesis, classification, comparison, mathematical speech, attention, general outlook, creative imagination, design skills.
  • To cultivate perseverance, accuracy, mutual assistance, help, the ability to work in a team.

EQUIPMENT: multimedia projector, screen, set of cards for differentiated work, self-assessment sheets, geoplans, magnetic board with geometric material, colored paper, scissors, glue, types of cubes, envelopes with homework, electrified stand, presentation - accompanying the lesson.

1. Organizational moment.

Good morning, guys and guests,
We ask everyone for a lesson,
Today the lesson is interesting and difficult,
But for those who work there is nothing impossible.
We don't have English or grammar
Math lesson.

2. Updating basic knowledge

The multimedia presentation appears on the screen.

Consider geometric shapes. They contain mathematical expressions. Calculate the value of a numeric expression that is :

a) at the intersection of a circle and a rectangle?

360:12=360:(6*2)= 360:6:2=30

What rule was applied? (Dividing a number by a product)

b) An expression that is in the big square but not in the small square?

6300: 100 \u003d 63 hundred: 1 hundred \u003d 63

c) An expression that is at the intersection of a square and a rectangle?

8*(720-120)=8*600=4800

d) The expression that is in the left semicircle?

25*12=25*(4*3)=100*3=300

What rule did you use?

(Multiply a number by a product)

e) An expression that is contained in a rhombus, but not contained in a square.

8 dm 4 cm * 3 \u003d 84 cm * 3 \u003d 252cm \u003d 25 dm 2 cm

- Which of these figures can we find the perimeter?

Which shapes can we define the perimeter in several ways?

How?

A slide with formulas appears on the screen.

How to find the perimeter of a square?

How do you find the area of \u200b\u200ba rectangle?

How to find the area of \u200b\u200ba square?

Generalization: You are familiar with geometric shapes and evaluate expressions. Know the rules for finding the area and perimeter. We need this to solve problems.

3. Statement of the educational problem.

What do these shapes have in common (Flat)

What other shapes can there be besides flat ones? (Volumetric)

What geometric body are you already familiar with? (Parallelepiped)

Who will formulate the topic of today's lesson? (We will get acquainted with a new volumetric geometric body - a cube.)

4. Consolidation of the learned

Now let's solve the problem from the textbook.

Read the problem.

Can we immediately find the area of \u200b\u200ba square? (Not)

Why? (Don't know the side of the square)

How to find out? (36: 4 \u003d 9 mm)

What formula will we use to find the area of \u200b\u200ba square?

S square \u003d a * a

Let's solve this problem with commenting?

1) 36: 4 \u003d 9 (mm) - 1 side length

2) 9 * 9 \u003d 81 (mm 2)

Answer: 81 mm 2 is the area of \u200b\u200ba square.

Draw this square.

What do you know about a rectangle?

* Rectangle is a quadrangle with all corners straight.

* Opposite sides are equal.

* The diagonals of the rectangle are equal.

* The diagonals of the rectangle intersect and the intersection is halved.

Solve the following problem.

Read the problem.

Can we answer the question right away? (Yes)

How? (area divided by width)

Let's decide at the blackboard.

1) 3440: 40 \u003d 86 (m)

Answer: 86 m is the length of the section.

Д / в. What do you know about a square?

* A square is a quadrangle in which all corners are straight and the sides are equal.

* The diagonals of the square are equal.

* The diagonals intersect and the intersection is halved.

* The diagonals of the square intersect at right angles.

Make up the inverse problems of the given one.

5. Independent work

Option 1.

The area of \u200b\u200bthe plot is rectangular 3440 m 2. The length of the section is 86 m. Find the width?

Can we immediately answer the requirement of the problem? (Yes)

How? (area divided by length)

Option 1 will solve this problem.

Who completes the task will decide additionally. A task of your own strength, of your choice?

Let's compose the second problem.

Option 2

The length of the rectangular plot is 86 meters, the width is 40 m. Find the area of \u200b\u200bthe plot?

What formula will we use? (S square \u003d a * b)

Additionally, decide on another card of your choice

Each desk has differentiated tasks.

The red pocket is a task for strong students.

Green Pocket - Medium

The blue pocket is for the poor.

P.T. - increased complexity.

Checking independent work.

At the moment the students answer, the named figures appear on the screen.

What is a trapezoid?

* This is a quadrangle with only 2 sides parallel.

What is a parallelogram?

* This is a quadrilateral in which all opposite sides are equal and parallel.

6. Physical minutes.

We will have a little rest, we will work orally with geoplans. (Each student on the desk) You need to recognize the figure by description. Before we start working, using the table, evaluate your knowledge, select the circle of the desired color. Be careful, we are learning self-control!

(A table appears on the screen)

(One student works on a magnetic board, the rest with geoplans)

7. TEST

Show me this figure on the geoplane.

  1. This figure has all sides equal, opposite angles are equal. (Rhombus)
  2. All angles are 90 degrees, opposite sides are equal. (Rectangle)
  3. A figure that consists of a point and two rays emanating from this point? (Angle)
  4. The figure that is obtained by drawing diagonals in a rectangle, square? (Triangle)
  5. A squashed rectangle? (Parallelogram)
  6. A rhombus with all corners straight? (Square)

Checking on a magnetic board

KEY TO TEST:

What a superfluous figure here. does not apply to polygons? (Angle)

What are the angles? (Acute, obtuse, rectangular)

Self-assessment check:

Who has the same self-esteem?

Who was wrong in assessing himself?

Where did you make mistakes?

CONCLUSION: Be careful, we are learning self-control.

8. Graphic dictation

New concepts appear on the screen.

Now we will perform a graphic dictation and find out which geometric body we will meet in the lesson.

Put a point, mark it with the Latin letter A, then count 5 cells to the right, mark with the letter B, from B five cells up, mark with the letter C, from this point 5 cells to the left, mark with the letter D; from A 3 cells diagonally to the right upwards, mark E; from B diagonally to the right upwards 3 cells, designate F, from D to the right upwards 3 cells diagonally designate K, from C to the right upwards diagonally 3 cells, designate M.

9. Acquaintance with the cube.

What is the name of this geometric body? (CUBE)

* This word is foreign, otherwise it is called a hexagon.

Where did you meet the cube? (game "Rubik's Cube", cubes for the game, construction blocks.)

Here is a wire cube frame

(Assistants distribute cubes)

Take a cube. put it on your left hand.

1) Is a cube a geometric body?

What shape is a cube face? ( Square )

The surface of each cube is made up of squares called the FACE.

Why is it called a regular hexagon?

Count the faces of the cube. How many are there? (6)

Two adjacent faces of a square (polyhedron) are called RIB.

Show with a pen (pointer) an edge

Count how many edges a cube has? (12)

Are the ribs equal in length? (Yes)

The cube has TOP.

How many edges intersect (converge) to one vertex? (3)

Count how many vertices a cube has? (8)

Remove the cubes.

Work in a notebook on a printed basis (p. 8, ass. 12,13)

Manufacturing of a cube sweep according to the technological instructions.

Appears on the screen:

Now we will make a cube unfolded ourselves. What is a sweep?

* It's like a cut cube on paper. (Show)

REMEMBER to be careful with scissors, glue, and save paper.

Show on the cube its vertices, edges, faces.

Is it possible to say that a cube is a rectangular parallelepiped whose length, width and height are equal to each other (YES)

Building from cubes in groups

(groups by color)

Let's remember the rules for working in groups (listen carefully to your friend, speak in turn, don't interrupt your friend, help your friend.

Who do you think the success of our lesson depends on? (From the work of each of us)

You each have a cube. Now, working in groups, try to construct something from cubes.

Student work options

10. Lesson summary (on an electrified stand)

a) - How many faces does a cube have? (6)

How many vertices does a cube have? (8)

How many edges are there to a cube? (12)

What is the name of the correct hexagon? (cube)

What is the face of a cube? (square)

b) Reflexive-evaluative activity

11. Homework.

Complete a task using cards of your choice,

Colorize the shape that is a flat pattern of the cube.

Guess the geometric puzzle.

Thanks for your work!

A cube is a geometric shape with 8 vertices. In addition, the cube is characterized by many geometric parameters that make it a special representative of the polyhedron family.

Cube as a polyhedron

From the point of view of geometry, a cube belongs to the class of polyhedra, representing a special case of a regular geometric shape... In turn, within the framework of this science, such of them are recognized as regular polyhedra, which consist of identical polygons, each of which has the correct shape: this means that all its sides and angles are equal to each other.

In the case of a cube, each face of this figure is indeed regular polygonsince it is a square. It certainly satisfies the condition that all its angles and sides are equal to each other. Moreover, each cube consists of 6 faces, that is, 6 regular squares.

Each face of a cube, that is, one that is part of it, is bounded by four equal sides, which are called edges. In this case, adjacent faces have adjacent edges, so the total number of edges in a cube is not equal to the simple product of the number of faces by the number of edges surrounding them. In particular, each cube has 12 edges.

The place of convergence of three edges of a cube is called a vertex. In this case, any edges that intersect with each other converge at an angle of 90 °, that is, they are perpendicular to each other. Each cube has 8 vertices.

Cube properties

Since all the faces of a cube are equal to each other, this gives ample opportunity to use this information to calculate various parameters of a given polygon. Moreover, most of the formulas are based on the simplest geometric characteristics of the cube, including those listed above.

So, for example, let the length of one face of the cube be taken as a value equal to a. In this case, you can easily understand that the area of \u200b\u200beach face can be found by finding the product of its sides: thus, the area of \u200b\u200ba cube face will be a ^ 2. In this case, the total surface area of \u200b\u200bthis polygon will be equal to 6a ^ 2, since each cube has 6 faces.

Based on this information, you can also find the volume of the cube, which, according to the geometric formula, will be meaningfully the product of its three sides - height, length and width. And since the lengths of all these sides, according to the problem statement, are the same, therefore, to find the volume of a cube, it is enough to construct the length of its side to a cube: thus, the volume of the cube will be a ^ 3.

Answers to p. 23

61. The figure shows the same dice in two positions.

How many different points are there on each side of the dice? How many faces does a cube have?

6 points are indicated on all sides of the cube. The cube has 6 faces. It turns out that each face has one non-repeating set of points.

62. On the left is a drawing of a geometric figure called a CUBE, and on the right is a drawing of a cube.


What is the difference between a drawing of a cube and its drawing? How many faces of a cube can be seen in the picture? Show in the picture the front, right and top faces of the cube. In the drawing, show the back, left and bottom faces of the cube.
What shape is a cube face? Are all the faces of a cube equal?
What is the top of the cube?
How many vertices does a cube have?
What is the edge of a cube? How many edges does a cube have?
How many edges go out of one vertex of the cube?

The number of faces - in the drawing they are shown with a dotted line. Only 3 faces are visible in the figure, and 3 more hidden faces are visible in the drawing.
The face of a cube is a square. All the faces of the cube are equal to each other.
The top of the cube is the point at which the edges of the cube converge. The cube has 8 such points.
The edge of a cube is one side of a face. The cube has 12 edges.
Three edges emerge from one vertex of the cube.

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