Question

Начертите окружность с центром О , радиус который равен 3 см . Проведите луч с началом отрезка О и отметьте на нём точку А, удалённую от точки О на 5 см. Проведите окружность с центром в точке А, радиус который 1) 2 см; 2) 2 см 5 мм; 3) 1 см 5 мм. Сколько общих точек имеют окружности в каждом из этих случаев? ПОМОГИТЕ ПОЖАЛУЙСТА!!!!!!!!!

Answer 1

1) окружности с r = 3 см и r = 2 см соприкасаются в одной точке - точке В;

2) окружности с r = 3 и r = 2,5 см соприкасаются в двух точках - С и Д;

3) окружности с r = 3 и r = 1,5 см  -  не соприкасаются.

Answer 2

Drawing a Circle and Finding Common Points

To draw a circle with center O and a radius of 3 cm, and then mark point A on a ray from the origin O at a distance of 5 cm, we can follow these steps:

1. Draw a Circle with Center O and Radius 3 cm: - Using a compass, draw a circle with center O and a radius of 3 cm.

2. Mark Point A on the Ray from O: - Draw a ray from the center O in any direction. - Measure 5 cm along this ray and mark the point as A.

3. Draw Circles with Center at A and Different Radii: - Draw circles with center at point A and radii of 2 cm, 2.5 cm, and 1.5 cm.

Finding Common Points on the Circles

Now, let's find the number of common points each of these circles has in each case:

1. Circle with Radius 2 cm: - The circle with a radius of 2 cm centered at A will intersect the original circle at two points, creating two common points.

2. Circle with Radius 2.5 cm: - The circle with a radius of 2.5 cm centered at A will intersect the original circle at two points, creating two common points.

3. Circle with Radius 1.5 cm: - The circle with a radius of 1.5 cm centered at A will intersect the original circle at two points, creating two common points.

In each case, the circles centered at point A will intersect the original circle at two common points.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.