Question

ДАЮ 50 ЮАЛОВ Тест "Длина отрезка". ⦁ Какие из заданных точек являются началом и концом отрезка АВ, длина которого 6 ед. отрезка? ⦁ А(-2), В(4); ⦁ А(-1), В(-5); ⦁ А(2), В(4); ⦁ А(5), В(1). ⦁ Длина отрезка АВ равна 4 ед.отрезка, найдите координаты точки А, если В(12). ⦁ А(-8); ⦁ А(4); ⦁ А(8); ⦁ А(16). ⦁ На координатной прямой изображены точки А и В. Единичный отрезок равен 1 см. найдите длину отрезка АВ, если А(-1), В(3) ⦁ 4 см; ⦁ 2 см; ⦁ -4 см; ⦁ 3 см. ⦁ Длина отрезка АВ равна 7 ед.отрезка, найдите координаты точки В, если А(-1). ⦁ В(8); ⦁ В(-5); ⦁ В(3); ⦁ В(6). ⦁ Найдите длину отрезка АВ на координатной прямой, если А(-7), В(1) ⦁ – 6; ⦁ 0; ⦁ 8; ⦁ – 8. РЕШЕНИЕ ПОДРОБНОЕ!

Answer 1

Ответ:

1) ⦁ А(-2), В(4)

2) ⦁ А(8)

3)⦁ 4 см

4) ⦁ В(6)

5) ⦁ 8

ПЖ ОТМЕТЬ ОТВЕТ ЛУЧШИЙ ХОЧУ НОВЫЙ СТАТУС

Answer 2

Task 1: Finding the points that form a segment with a given length

To determine which of the given points form the endpoints of a segment AB with a length of 6 units, we need to calculate the distance between each pair of points and check if it matches the given length.

Let's go through each option:

1. A(-2), B(4): The distance between A and B is 6 units, so this pair of points forms the segment AB with the given length. (Correct).

2. A(-1), B(-5): The distance between A and B is 4 units, not 6 units. Therefore, this pair of points does not form the segment AB with the given length. (Incorrect).

3. A(2), B(4): The distance between A and B is 2 units, not 6 units. Therefore, this pair of points does not form the segment AB with the given length. (Incorrect).

4. A(5), B(1): The distance between A and B is 4 units, not 6 units. Therefore, this pair of points does not form the segment AB with the given length. (Incorrect).

So, the only pair of points that forms the segment AB with a length of 6 units is A(-2), B(4).

Task 2: Finding the coordinates of point A given the length of segment AB

To find the coordinates of point A when point B is given as (12) and the length of segment AB is 4 units, we need to determine the possible positions of point A.

Let's consider each option:

1. A(-8): The distance between A and B is 20 units, not 4 units. Therefore, this option does not satisfy the given conditions. (Incorrect).

2. A(4): The distance between A and B is 8 units, not 4 units. Therefore, this option does not satisfy the given conditions. (Incorrect).

3. A(8): The distance between A and B is 4 units, which matches the given length. Therefore, this option satisfies the given conditions and the coordinates of point A are (8). (Correct).

4. A(16): The distance between A and B is 4 units, which matches the given length. Therefore, this option satisfies the given conditions and the coordinates of point A are (16). (Correct).

So, the coordinates of point A when B is (12) and the length of segment AB is 4 units can be either A(8) or A(16).

Task 3: Finding the length of segment AB given the coordinates of points A and B

To find the length of segment AB when point A is (-1) and point B is (3), we need to calculate the distance between these two points.

The distance formula between two points (x1, y1) and (x2, y2) in a coordinate plane is given by:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between A(-1) and B(3):

Distance = sqrt((3 - (-1))^2 + (0 - 0)^2) = sqrt(4^2 + 0^2) = sqrt(16) = 4

Therefore, the length of segment AB when A(-1) and B(3) is 4 units.

Task 4: Finding the coordinates of point B given the length of segment AB

To find the coordinates of point B when point A is (-1) and the length of segment AB is 7 units, we need to determine the possible positions of point B.

Let's consider each option:

1. B(8): The distance between A and B is 9 units, not 7 units. Therefore, this option does not satisfy the given conditions. (Incorrect).

2. B(-5): The distance between A and B is 4 units, not 7 units. Therefore, this option does not satisfy the given conditions. (Incorrect).

3. B(3): The distance between A and B is 4 units, not 7 units. Therefore, this option does not satisfy the given conditions. (Incorrect).

4. B(6): The distance between A and B is 7 units, which matches the given length. Therefore, this option satisfies the given conditions and the coordinates of point B are (6). (Correct).

So, the coordinates of point B when A is (-1) and the length of segment AB is 7 units is B(6).

Task 5: Finding the length of segment AB given the coordinates of points A and B

To find the length of segment AB when point A is (-7) and point B is (1), we need to calculate the distance between these two points.

Let's calculate the distance between A(-7) and B(1):

Distance = sqrt((1 - (-7))^2 + (0 - 0)^2) = sqrt(8^2 + 0^2) = sqrt(64) = 8

Therefore, the length of segment AB when A(-7) and B(1) is 8 units.

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