Тест на тему Безударная гласная в корне

1. Какая интернет-услуга используется для отправки и получения писем через сеть?

• A) Поиск информации
• B) Электронная почта
• C) Файловый обмен через FTP
• D) Видеоконференции Ответ: B

2. Какая интернет-услуга применяется для обмена файлами между удалёнными компьютерами через сеть?

• A) FTP
• B) HTTP
• C) SMTP
• D) DNS Ответ: A

3. Какой протокол обеспечивает безопасную передачу данных между клиентом и сервером при просмотре веб-страниц?

• A) HTTP
• B) HTTPS
• C) FTP
• D) SSH Ответ: B

4. Какая интернет-услуга используется для преобразования имени сайта в IP-адрес?

• A) DNS
• B) DHCP
• C) VPN
• D) SMTP Ответ: A

Тест по геометрии: Подобные треугольники (открытые вопросы, 10 вопросов)

Инструкция: ответь письменно, поясни все шаги обхода после каждого вопроса. В конце дам краткие ответы и решение.

1. Даны треугольники ABC и A'B'C' с соответствием вершин A↔A', B↔B', C↔C'. Малый треугольник имеет стороны AB = 6, BC = 9, CA = 12. Большой треугольник имеет сторону A'B' = 18. Найди B'C' и C'A' и объясни, почему эти значения получаются.

2. Треугольники ABC и A'B'C' подобны (соответствие A↔A', B↔B', C↔C'). В малом треугольнике AB = 5, BC = 7, CA = 9. В большом треугольнике A'B' = 15. Найди B'C' и C'A'.

3. Даны треугольники ABC и DEF подобны по соответствию A↔D, B↔E, C↔F. Малый треугольник: AB = 4, BC = 6, CA = 8. Большой треугольник: DE = 10. Найди EF и FD, а также коэффициент масштабирования и отношение сходства.

4. Малый треугольник ABC имеет площадь S = 9. Треугольник DEF подобен ABC и имеет коэффициент масштабирования k = 3. Найди площадь DEF.

5. Даны подобные треугольники ABC и DEF с коэффициентом масштабирования k = 2. Периметр малого треугольника P = 25. Найди периметр большого треугольника DEF.

6. Чтобы доказать подобие по признаку AA, достаточно двух пар равных углов. Пусть ∠A = ∠D = 40°, ∠B = ∠E = 70°. Если AB = 4, DE = 10, найдите коэффициент масштабирования и запишите, какие другие стороны пропорциональны.

7. Треугольники ABC (малый) и A'B'C' (большой) подобны. Малый: AB = 3, BC = 4, CA = 5. Большой: A'B' = 9. Найди B'C' и C'A'.

8. В двух подобных треугольниках высота к основанию пропорциональна коэффициенту масштабирования. Пусть в малом треугольнике AB = 6, высота к AB равна h = 4. В большом треугольнике A'B' = 12. Найди высоту h' к основанию A'B'.

9. Рассматриваются треугольники ABC и DEF такие, что AB/DE = BC/EF = CA/FD = 2/5. Являются ли они подобными? Обоснуй ответ.

10. По признаку SSS: если AB:DE = BC:EF = CA:FD = 2:5, то треугольники ABC и DEF подобны. Объясни почему это так и какие последствия это имеет для их сторон, углов и площадей.

Ответы и решения

1. Коэффициент сходства k = A'B'/AB = 18/6 = 3. Тогда B'C' = k·BC = 3·9 = 27, C'A' = k·CA = 3·12 = 36.

2. Коэффициент сходства k = A'B'/AB = 15/5 = 3. Следовательно B'C' = k·BC = 3·7 = 21, C'A' = k·CA = 3·9 = 27.

3. Коэффициент масштабирования k = DE/AB = 10/4 = 2.5. Тогда EF = k·BC = 2.5·6 = 15, FD = k·CA = 2.5·8 = 20. Отношение сходства равно k = 2.5.

4. Площадь больших треугольников увеличивается в квадрат коэффициента масштабирования: S' = k^2 · S = 3^2 · 9 = 81.

5. Периметры растут в том же коэффициенте: P' = k · P = 2 · 25 = 50.

6. По AA триугольники подобны; коэффициент масштабирования k = DE/AB = 10/4 = 2.5. Тогда BC/EF = 2.5 и CA/FD = 2.5, то есть соответствующие стороны пропорциональны на коэффициент 2.5.

7. k = A'B'/AB = 9/3 = 3. Тогда B'C' = k·BC = 3·4 = 12, C'A' = k·CA = 3·5 = 15.

8. k = A'B'/AB = 12/6 = 2. Тогда h' = k · h = 2 · 4 = 8.

9. Да. Если AB/DE = BC/EF = CA/FD, то три стороны соответствуют пропорционально, значит треугольники подобны по признаку SSS (или по любому из эквивалентных признаков). Ответ: да, подобны.

10. Да. Это явный признак SSS: три пары соответствующих сторон пропорциональны одинаково (отношение 2:5 во всех парах). Следовательно, треугольники ABC и DEF подобны; их углы равны, стороны пропорциональны, а площади относятся как квадрат коэффициента масштабирования (площадь малого к площади большого равна 4:25 и т.д.).

Примечание для учителя

• Можно варьировать конкретные числа в вопросах 1–3 и 7, чтобы ученикам было понятно принципиальное применение коэффициента масштаба.
• Вопросы 4–5 акцентируют внимание на зависимостях площадей и периметров от коэффициента масштабирования.
• Вопросы 6, 9, 10 закрепляют критерии подобия: AA, SSS, и SAS (через углы и пропорции сторон).

Тест по английскому языку: Степени сравнения прилагательных (7 класс)

Вариант 1

1. Выберите правильную форму прилагательного: "This book is ___ than that one."
   a) more interesting
   b) interestinger
   c) most interesting
   d) interestinger

2. Какой из вариантов является сравнительной формой прилагательного "happy"?
   a) more happy
   b) happyer
   c) happier
   d) most happy

3. Выберите правильную форму: "This test is ___ than the previous one."
   a) difficult
   b) more difficult
   c) difficulter
   d) most difficult

4. Как правильно сказать: "She is ___ student in the class."
   a) smart
   b) smarter
   c) most smart
   d) smartest

5. Какая форма правильна: "Today is ___ than yesterday."
   a) hot
   b) hotter
   c) hotest
   d) more hot

Вариант 2 6. Выберите прилагательное в превосходной степени: "This is the ___ movie I have ever seen."
a) good
b) best
c) better
d) goodest

7. Какое из утверждений верно?
   a) This hill is higher than that one.
   b) This hill is more high than that one.
   c) This hill is most high.
   d) This hill is highest.

8. Выберите правильную форму прилагательного: "My computer is ___ than my phone."
   a) fast
   b) faster
   c) fastly
   d) most fast

9. Какая из следующих фраз использует правильную сравнительную степень?
   a) He is more strong than his brother.
   b) He is stronger than his brother.
   c) He is most strong than his brother.
   d) He is stronglier than his brother.

10. Выберите вариант с правильной превосходной формой прилагательного "beautiful":
    a) more beautiful
    b) beautifulest
    c) most beautiful
    d) more most beautiful

Вариант 3 11. Выберите правильный ответ: "This mountain is ___ than that one."
a) tall
b) taller
c) tallest
d) more tall

12. Какая форма является сравнительной для "bad"?
    a) badder
    b) worse
    c) more bad
    d) baddest

13. Выберите правильную форму: "He is ___ player on the team."
    a) good
    b) better
    c) best
    d) goodest

14. Как правильно сказать: "The test was ___ than I expected."
    a) easy
    b) easier
    c) easiest
    d) more easy

15. Выберите правильную форму: "This problem is ___ than the last one."
    a) complicated
    b) more complicated
    c) complicater
    d) most complicated

Вариант 4 16. Какая из форм является превосходной степенью прилагательного "small"?
a) smaller
b) smallest
c) most small
d) more small

17. Выберите правильный вариант: "My house is ___ than my friend's."
    a) big
    b) bigger
    c) biggest
    d) most big

18. Какая форма правильна: "This lesson is ___ than the previous one."
    a) interesting
    b) more interesting
    c) interestinger
    d) most interesting

19. Выберите правильную форму: "Of all the students, she is the ___."
    a) intelligent
    b) more intelligent
    c) most intelligent
    d) intelligenter

20. Какая из следующих фраз использует правильную превосходную степень?
    a) This is the more beautiful painting.
    b) This is the most beautiful painting.
    c) This is the beautifulest painting.
    d) This is the beautifullest painting.

Тест по Passive voice для учащихся 10 класса

1. The new museum ___ next year. A) was opened B) is being opened C) will be opened D) opened

2. English ___ in many countries. A) spoken B) speak C) is spoken D) speaks

3. The book ___ by millions of people. A) reads B) was read C) is reading D) read

4. The house ___ by the time they arrived. A) was cleaned B) cleaned C) has been cleaned D) had been cleaned

5. Why ___ the room by Tom yet? A) hasn't cleaned B) weren't cleaned C) not cleaning D) hasn't been cleaned

6. The film ___ before I got there. A) had started B) started C) has started D) was starting

7. English ___ in most countries in the world. A) is spoken B) spoken C) spoke D) speak

8. The cake ___ by mom every Saturday. A) is baking B) bakes C) is baked D) bake

9. The car ___ last night. A) was stolen B) was being stolen C) stole D) stolen

10. The letter ___ yet. A) haven't been written B) has been written C) not written D) were written

11. My bike ___ in the garage for a week. A) is being repaired B) repaired C) was repaired D) has been repaired

12. The mistake ___ by the teacher just now. A) corrected B) is correcting C) was corrected D) corrects

13. The painting ___ for a long time. A) was admired B) admired C) is admiring D) has been admired

14. Her keys ___ somewhere yesterday. A) has been lost B) had lost C) was lost D) were lost

15. The novel ___ by many students next semester. A) will be studied B) was studied C) is studying D) will study

16. The homework ___ by the time she came back home. A) did B) was done C) does D) was being done

17. The gifts ___ by the children. A) were opened B) opened C) have opened D) was opened

18. The message ___ before you arrived. A) had sent B) was sent C) sent D) has sent

19. The prize ___ to the winner by the principal. A) was given B) gives C) given D) was giving

20. Why ___ to the party? A) weren't you invited B) hasn't been invited C) didn't invite D) wasn't inviting

21. The news ___ to the public yet. A) weren't announced B) have been announced C) wasn't announced D) hasn't been announced

22. Characteristic features of Passive voice include: A) The subject performs the action B) The subject receives the action C) Always uses the verb "to be" D) Never used in English

23. Which of the following sentences is in the Passive voice? A) Kate waters the plants every morning. B) The decision was made by the committee. C) They have painted the house blue. D) She will bake a cake for the party.

24. Choose the correct Passive voice form of the sentence: "The teacher explains the lesson." A) The lesson explained by the teacher. B) The lesson was explaining by the teacher. C) The lesson is explained by the teacher. D) The lesson is explaining by the teacher.

25. Rewrite this sentence in Passive voice: "They built this house in 1965." A) This house is built by them in 1965. B) This house was built in 1965 by them. C) This house is built in 1965 by them. D) This house built in 1965 by them.

26. Complete the sentence in Passive voice: "The cake ___ by my sister now." A) bakes B) is baking C) has been baked D) baking

27. Choose the best Passive voice option: "The building __ next month." A) finishes B) finish C) is finishing D) will be finished

28. Rewrite this sentence in Passive voice: "The committee selected the winner." A) The winner was selected by the committee. B) The winner has selected by the committee. C) The winner is selected by the committee. D) The winner been selected by the committee.

29. Choose the correct Passive voice form of the sentence: "My parents will buy a new car." A) A new car will be buying by my parents. B) A new car was bought by my parents. C) A new car will be bought by my parents. D) A new car has been bought by my parents.

30. Rewrite this sentence in Active voice: "The letter was sent by her." A) She sent the letter. B) Her send the letter. C) The letter is sent by her. D) The letter has sent by her.

Ответы:

1. C) will be opened
2. C) is spoken
3. B) was read
4. D) had been cleaned
5. A) hasn't cleaned
6. A) had started
7. A) is spoken
8. C) is baked
9. A) was stolen
10. B) has been written
11. D) has been repaired
12. C) was corrected
13. D) has been admired
14. D) were lost
15. A) will be studied
16. B) was done
17. A) were opened
18. B) was sent
19. A) was given
20. A) weren't you invited
21. D) hasn't been announced
22. B) The subject receives the action
23. B) The decision was made by the committee.
24. C) The lesson is explained by the teacher.
25. B) This house was built in 1965 by them.
26. C) has been baked
27. D) will be finished
28. A) The winner was selected by the committee.
29. C) A new car will be bought by my parents.
30. A) She sent the letter.

Желаем вам удачи на тесте!