Тест на тему производная

Ниже представлен тест по предмету Алгебра, тема: Тригонометрические уравнения. Класс: 10. Тип вопросов: открытые. Количество вопросов: 10. Тест без ответов.

Инструкция для учеников:

• Запишите полное решение каждого уравнения.
• Укажите общий вид решений на всей области x ∈ ℝ (используйте периодичность соответствующей тригонометрической функции).
• Поясните каждую применяемую форму или тождество.

1. Найти все решения уравнения sin x = 1/2, x ∈ ℝ.

2. Найти все решения уравнения cos x = −√2/2, x ∈ ℝ.

3. Найти все решения уравнения tan x = 1, x ∈ ℝ.

4. Найти все решения уравнения sin(2x) = √3/2, x ∈ ℝ.

5. Найти все решения уравнения cos(2x) = −1/2, x ∈ ℝ.

6. Найти все решения уравнения sin x = sin(3x), x ∈ ℝ.

7. Найти все решения уравнения tan(2x) = 1, x ∈ ℝ.

8. Найти все решения уравнения cos x = 0, x ∈ ℝ.

9. Найти все решения уравнения sin x + cos x = 1, x ∈ ℝ.

10. Найти все решения уравнения cos x = 1/2, x ∈ ℝ.

Тест по английскому языку: Present Simple/Present Continuous

Уровень: 9 класс

Инструкция: Выберите правильный вариант ответа из предложенных.

1. She usually __________ to the gym after work.

   • a) go
   • b) goes
   • c) going
   • d) gone

2. Right now, I __________ my homework.

   • a) do
   • b) am doing
   • c) did
   • d) done

3. They __________ breakfast at 8 AM every day.

   • a) eats
   • b) eat
   • c) eating
   • d) eaten

4. He __________ a movie at the cinema at the moment.

   • a) watches
   • b) watch
   • c) is watching
   • d) watched

5. We often __________ with our friends on weekends.

   • a) hang out
   • b) hangs out
   • c) hanging out
   • d) hung out

6. She __________ her grandmother every Sunday.

   • a) sees
   • b) is seeing
   • c) seen
   • d) see

7. They __________ dinner now.

   • a) have
   • b) are having
   • c) having
   • d) has

8. The train __________ at 9 PM every day.

   • a) leaves
   • b) is leaving
   • c) leave
   • d) left

9. I usually __________ coffee in the morning.

   • a) drink
   • b) am drinking
   • c) drank
   • d) drinks

10. Right now, he __________ his car in the garage.

    • a) repairs
    • b) is repairing
    • c) repaired
    • d) repair

11. They __________ to new music every Friday.

    • a) listen
    • b) is listening
    • c) listened
    • d) listening

12. She __________ her best friend on the phone at this moment.

    • a) talks
    • b) talking
    • c) is talking
    • d) talked

13. My brother __________ a lot of books these days.

    • a) reads
    • b) is reading
    • c) reading
    • d) read

14. We usually __________ to the mountains in summer.

    • a) goes
    • b) go
    • c) going
    • d) gone

15. At this time tomorrow, I __________ my project.

    • a) am finishing
    • b) finish
    • c) finishes
    • d) finished

16. He __________ very busy in his new job.

    • a) is
    • b) was
    • c) were
    • d) be

17. They __________ a soccer match right now.

    • a) are playing
    • b) plays
    • c) playing
    • d) played

18. She __________ a great singer.

    • a) is
    • b) are
    • c) am
    • d) be

19. I never __________ TV after school.

    • a) watch
    • b) am watching
    • c) watched
    • d) watches

20. Right now, we __________ for the test.

    • a) study
    • b) are studying
    • c) studying
    • d) studied

Конец теста.

Тест по английскому языку для 8 класса: Past Perfect and Past Perfect Continuous

Вставьте правильное слово в пропуски

1. By the time we arrived at the party, they ___________ (leave).

2. She ___________ (study) for four hours before the exam started.

3. When I got home, my mom told me she ___________ (cook) dinner for an hour.

4. The teacher said that she ___________ (explain) the lesson several times before everyone understood.

5. By the end of the movie, I ___________ (cry) for at least thirty minutes.

6. They ___________ (wait) for the bus for over an hour before it finally arrived.

7. Sarah ___________ (call) her friend before she went to bed.

8. When the bell rang, the students ___________ (work) on their assignments for two hours.

9. I knew that they ___________ (travel) for a long time before they reached their destination.

10. The dog ___________ (bark) all night long before it finally fell asleep.

Ответы к тесту:

1. had left
2. had been studying
3. had been cooking
4. had explained
5. had been crying
6. had been waiting
7. had called
8. had been working
9. had been traveling
10. had been barking