Изучить по учебнику С. 195 - 197. Записать в справочник Т. 2 и выучить

9 КЛАСС ГЕОМЕТРИЯ

10.11.2021

1)  Изучить по учебнику с. 195 - 197. Записать в справочник Т. 2 И ВЫУЧИТЬ.

                                     → →                             →   →          

1. Сумма двух векторов a и b обозначается так: a + b

                                     → →                                       

2. Сумма двух векторов a и b можно построить по правилу треугольника или правилу параллелограмма.

3. Найди в учебнике и выпиши правило треугольника для построения суммы двух векторов (с.195, абзац 3 и 4)

Например (Н.)

                                                        → →               

№ 1. Построй сумму двух векторов a + b по правилу треугольника.

Решение

Даны вектора                                                                                    Построение

                                                                                                                                                                 

                                                                                                                                                                                                               

                          →                                                                                              → 

                        a                                                                                                           a

b                                                                                                      → →                                       

                                                                                                               a + b

                                                                                                                                                                                                                                         

                                                                                                                                               b          

4.    Найди в учебнике и выпиши правило параллелограмма (с.197, абзац 5)     

Например (Н.)

                                                         → →                     

№ 2. Построй сумму двух векторов a + b по правилу параллелограмма

Решение

Даны вектора                                                                                       Построение

                                                                                                                                                                                                   

                                                                                                                             b                 →

                                                                                                                                             a                

                   a                                                                                                                          

                                                                                                                       a + b             

b                                                                                                                                                                   

 

 

                                            →   →                             →     →          

5. Разность двух векторов a и b обозначается так: a ─  b

6. Найди в учебнике и выпиши, какой вектор наз. противоположным вектором к данному вектору и как его обозначают (с.199, абзац 2 и 3)

Например (Н.)

                                                                      → →

№ 3. Построй противоположные вектора a и b

Решение

                                                          

                                                                  

                                                                     a                                                                                                       

                                                               

                                                          

                                                        b

                                                            

7. Найди в учебнике и выпиши

Теорема о разности двух векторов (с. 199)

                                                                                 →   →                                                                           

8. Чтобы построить разность двух векторов a и b можно ее заменить суммой

             →    →            → → → →

векторов a и ─ b, получаем a ─  b = a + (─ b)        

Например (Н.)

                                                                 → →

№ 4. Построй разность двух векторов a ─  b

Решение

         → → →   →

Так как a ─ b = a + (─ b)   сумму векторов  a и b по правилу треугольника

Даны вектора                                                                                       Построение

 


                                                                                                                         → →

              →                                                                                                    a ─ b

               a                                                                   

                                                                                                                   →  

                                                                                                                    a

 


     →                                                                                                                         →

      b                                                                                                                        ─b                                                                                                                                                                                                                               

                                                                                                       

 

9. Найди в учебнике и выпиши

Теорема о законах сложения векторов. (с.196)

2). Выполнить задание.

На «3» № 1 – 4 ( в дано взять другие вектора) из т. 2 справочника и записав в рабочую тетрадь:

Десятое ноября

Домашняя работа

Сложение и вычитание векторов

На «4 и 5»

В электронном варианте по ссылке

https://edu.skysmart.ru/student/tovogepuhi

                                                                                                  




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