Question

начертите координатный луч приняв за единый отрезок 8 см. Разделите единичный отрезок на 2 равные части затем ещё раз разделите каждую из частей на 2 равные части. Напишите координаты точек соответствующих каждой из полученных частей.

Answer 1

Drawing the Coordinate Ray

To draw the coordinate ray, we will start with a line segment of 8 cm. We will then divide this line segment into 2 equal parts, and further divide each of those parts into 2 equal parts.

Let's label the initial line segment as AB, with A being the starting point and B being the ending point. The length of AB is 8 cm.

Dividing the Line Segment

To divide AB into 2 equal parts, we will find the midpoint of AB. The midpoint is the point that divides the line segment into two equal parts.

To find the midpoint, we can use the formula:

Midpoint = (x1 + x2) / 2, (y1 + y2) / 2

Since AB is a line segment, we can assume that the coordinates of A are (0, 0) and the coordinates of B are (8, 0).

Using the midpoint formula, we can find the coordinates of the midpoint:

Midpoint = (0 + 8) / 2, (0 + 0) / 2 = (4, 0)

So, the midpoint of AB is (4, 0). Let's label this point as C.

Now, we will divide each of the line segments AC and CB into 2 equal parts.

Dividing AC

To divide AC into 2 equal parts, we will find the midpoint of AC. The coordinates of A are (0, 0) and the coordinates of C are (4, 0).

Using the midpoint formula, we can find the coordinates of the midpoint:

Midpoint = (0 + 4) / 2, (0 + 0) / 2 = (2, 0)

So, the midpoint of AC is (2, 0). Let's label this point as D.

Dividing CB

To divide CB into 2 equal parts, we will find the midpoint of CB. The coordinates of C are (4, 0) and the coordinates of B are (8, 0).

Using the midpoint formula, we can find the coordinates of the midpoint:

Midpoint = (4 + 8) / 2, (0 + 0) / 2 = (6, 0)

So, the midpoint of CB is (6, 0). Let's label this point as E.

Coordinates of the Points

To summarize, the coordinates of the points corresponding to each of the obtained parts are:

- Point A: (0, 0) - Point B: (8, 0) - Point C: (4, 0) - Point D: (2, 0) - Point E: (6, 0)

These are the coordinates of the points corresponding to each of the obtained parts after dividing the line segment into equal parts.

I hope this helps! Let me know if you have any further questions.