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Froggy Jumps
Froggy Jumps

Гомотетия

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Гомотетия

Froggy Jumps

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About this activity

коэффициент подобия

Created by

Tumar Asan
Tumar Asan
Kazakhstan

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Гомотетия
 

Froggy Jumps

ГомотетияOnline version

коэффициент подобия

by Tumar Asan
1

Дана точка A(2; -3). Найдите координаты точки A' полученной гомотетией с центром в начале координат и коэффициентом k = 4

2

Длина отрезка AB равна 10 см. Чему равна длина отрезка A'B', если коэффициент подобия (гомотетии) k = 0.5?

3

Площадь треугольника ABC равна 24 см^2. Найдите площадь подобного ему треугольника A'B'C', если коэффициент подобия k = 1/2.

4

При гомотетии с центром O точка M перешла в точку M'. Известно, что OM = 4 см, а OM' = 12 см, причем точки лежат на одном луче от центра. Чему равен коэффициент гомотетии k?

5

Что происходит с любой прямой при гомотетии?

6

Точка A(5; 0) при гомотетии с центром в начале координат перешла в точку A'(-5; 0). Чему равен коэффициент гомотетии k?

7

Периметр пятиугольника равен 30 см. Найдите периметр подобного пятиугольника, если коэффициент подобия k = 3.

8

Углы треугольника равны 30, 60, 90 градусов. Какими будут углы треугольника, полученного гомотетией с коэффициентом k=2?

9

Отношение площадей двух подобных многоугольников равно 16. Чему равен коэффициент подобия k (считаем k > 0)?

10

Центр гомотетии — точка O(0;0). Точка A(1; 2) переходит в точку A'(-3; -6). Определите коэффициент k.

 
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