Question

Постройте в тетради точки A,K и T, не лежащие на одной прямой.Через каждые две точки проведите прямую. Сколько различных лучей с началом в этих точках получится

Answer 1

Из каждой точки-4 луча:
из А: АК, АТ, АО, АМ
из К: КА, КТ, КС, КВ
из Т: ТА, ТК, ТЕ, ТД

все изображено на приложенном рисунке

Answer 2

Task: Drawing Points and Lines

To start, let's draw the points A, K, and T in the notebook. Then, we'll connect every pair of points with a line. After that, we'll determine the number of different rays originating from these points.

Drawing Points and Lines

To complete this task, we need to: 1. Draw the points A, K, and T in the notebook. 2. Connect every pair of points with a line.

Number of Different Rays

The number of different rays originating from these points can be determined by considering the combinations of points and the lines formed by these combinations.

Calculating the Number of Different Rays 1. The number of different rays originating from these points can be calculated using the combination formula: \[ \text{Number of rays} = \frac{n(n-1)}{2} \] where \( n \) is the number of points.

Conclusion

After drawing the points A, K, and T and connecting every pair of points with a line, we can calculate the number of different rays originating from these points using the combination formula.