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Какое значение имеет производная функции ( f(x) = x^2 ) в точке ( x = 3 )?
Правильный ответ: B) 6
Найдите производную функции ( f(x) = 3x^3 - 5x + 2 ).
Правильный ответ: A) ( 9x^2 - 5 )
Какой из следующих графиков соответствует функции ( f'(x) ) для ( f(x) = |x| )?
Правильный ответ: C) График, который имеет угол разрыва в точке 0
Найдите производную функции ( f(x) = \sin(x) ).
Правильный ответ: A) ( \cos(x) )
Какова производная функции ( f(x) = e^{2x} )?
Правильный ответ: A) ( 2e^{2x} )
Найдите производную функции ( f(x) = \ln(x^2 + 1) ).
Правильный ответ: A) ( \frac{2x}{x^2 + 1} )
Каково значение производной функции ( f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1 ) в точке ( x = 1 )?
Правильный ответ: A) 0
Какова производная функции ( f(x) = \tan(x) )?
Правильный ответ: A) ( \sec^2(x) )
Какова производная функции ( f(x) = \sqrt{x} )?
Правильный ответ: A) ( \frac{1}{2\sqrt{x}} )
Найдите вторую производную функции ( f(x) = 5x^4 - 3x^2 + 2 ).
Правильный ответ: A) ( 60x^2 - 6 )
Этот тест содержит 10 вопросов по теме производных для 11 класса и включает правильные ответы для каждой из задач. Удачи в подготовке к экзаменам!
Ниже представлен тест по английскому языку для 10 класса на тему zero и first conditionals. Формат: 20 вопросов с множественным выбором. В конце — ключи ответов.
Инструкция: Выберите единственный правильный ответ для каждого номера.
Which sentence expresses a zero conditional? A) If you heat ice, it melts. B) If you heat ice, it will melt. C) If you heated ice, it melts. D) If you heat ice, it would melt.
Choose the zero conditional sentence: A) If you touch a flame, you burn yourself. B) If you touch a flame, you will burn yourself. C) If you touched a flame, you burn yourself. D) If you touch a flame, you burned yourself.
Which sentence is zero conditional? A) If it rains, the ground gets wet. B) If it rains, the ground will get wet. C) If it will rain, the ground gets wet. D) It rains if the ground gets wet.
Complete with zero conditional structure: A) If you mix red and blue, you get purple. B) If you mix red and blue, you will get purple. C) If you mix red and blue, you got purple. D) If you mix red and blue, you would get purple.
Zero conditional: which sentence is correct? A) If you study hard, you do well in exams. B) If you study hard, you will do well in exams. C) If you studied hard, you do well in exams. D) If you study hard, you are going to do well in exams.
Zero conditional: “If you don't water the plants, they die.” Which option is correct? A) If you don't water the plants, they die. B) If you don't water the plants, they will die. C) If you don't water the plants, they dying. D) If you don't water the plants, they will be died.
Zero conditional: “If you heat water to 100 degrees, it boils.” Which option is correct? A) If you heat water to 100 degrees, it boils. B) If you heat water to 100 degrees, it will boil. C) If you heat water to 100 degrees, it is boiling. D) If you heat water to 100 degrees, it boiled.
Zero conditional: “If you press this button, the machine stops.” Which option is correct? A) If you press this button, the machine stops. B) If you press this button, the machine will stop. C) If you press this button, the machine stopping. D) If you press this button, the machine stop.
Zero conditional: “If you throw a ball up, it falls down.” Which option is correct? A) If you throw a ball up, it falls down. B) If you throw a ball up, it will fall down. C) If you threw a ball up, it falls down. D) If you throw a ball up, it fall down.
Zero conditional: “If you freeze water, it becomes ice.” Which option is correct? A) If you freeze water, it becomes ice. B) If you freeze water, it will become ice. C) If you froze water, it becomes ice. D) If you freeze water, it become ice.
Which sentence is correct first conditional? A) If it rains tomorrow, we will stay at home. B) If it rains tomorrow, we stay at home. C) If it will rain tomorrow, we stay at home. D) If it rains tomorrow, we would stay at home.
If I see Mary later, I will tell her the news. A) If I see Mary later, I will tell her the news. B) If I see Mary later, I tell her the news. C) If I will see Mary later, I tell her the news. D) If I see Mary later, I would tell her the news.
If you study tonight, you will pass the exam. A) If you study tonight, you will pass the exam. B) If you study tonight, you would pass the exam. C) If you studied tonight, you will pass the exam. D) If you study tonight, you passes the exam.
If they invite us, we will go to the party. A) If they invite us, we will go to the party. B) If they invite us, we go to the party. C) If they invited us, we will go to the party. D) If they invite us, we would go to the party.
If he doesn't hurry, he will miss the bus. A) If he doesn't hurry, he will miss the bus. B) If he doesn't hurry, he misses the bus. C) If he doesn't hurry, he will be missing the bus. D) If he doesn't hurry, he would miss the bus.
If you miss the bus, you will be late. A) If you miss the bus, you will be late. B) If you miss the bus, you are late. C) If you miss the bus, you were late. D) If you miss the bus, you will have been late.
If she finishes early, she will join us for dinner. A) If she finishes early, she will join us for dinner. B) If she finish early, she will join us for dinner. C) If she finishes early, she joins us for dinner. D) If she finishes early, she would join us for dinner.
Which sentence is correct first conditional? A) If they study, they will pass. B) If they study, they pass. C) If they studied, they will pass. D) If they studying, they will pass.
If you feel sick, you will see a doctor. A) If you feel sick, you will see a doctor. B) If you feel sick, you see a doctor. C) If you feel sick, you will be seeing a doctor. D) If you feel sick, you would see a doctor.
If the weather is good, we will go to the beach. A) If the weather is good, we will go to the beach. B) If the weather is good, we go to the beach. C) If the weather is good, we are going to go to the beach. D) If the weather is good, we going to go to the beach.
Ответы: 1 A 2 A 3 A 4 A 5 A 6 A 7 A 8 A 9 A 10 A 11 A 12 A 13 A 14 A 15 A 16 A 17 A 18 A 19 A 20 A
Если нужно, могу адаптировать сложности вопросов под конкретный уровень учащихся или заменить некоторые примеры на темы из учебника.
Тест по французскому языку на тему "Хобби" для 9 класса
Тест: Хобби
Quel est le mot français pour "hobby"?
a) Hobbys
b) Loisirs
c) Activité
d) Plaisir
Que fait-on quand on "jardine"?
a) On chante
b) On peint
c) On cultive des plantes
d) On danse
Si tu aimes "faire du sport", quel sport peux-tu pratiquer?
a) Lire
b) Jouer au tennis
c) Écouter de la musique
d) Dessiner
Quel est le passe-temps le plus populaire parmi les jeunes français?
a) Faire du vélo
b) Regarder la télévision
c) Cuisiner
d) Voyager
Que signifie "collectionner"?
a) Prendre des photos
b) Rassembler des objets
c) Regarder des films
d) Écrire des histoires
Quel loisir est associé à "peindre"?
a) La musique
b) Le cinéma
c) Les arts plastiques
d) La littérature
Si tu préfères "lire des livres", tu es probablement…
a) Sportif
b) Musicien
c) Passionné de littérature
d) Voyageur
Quel instrument de musique est couramment joué en France?
a) Le piano
b) Le tambour
c) La guitare
d) Toutes les réponses ci-dessus
Que signifie "faire de la randonnée"?
a) Voyager à l'étranger
b) Marcher dans la nature
c) Faire du shopping
d) Nager dans la mer
Quel est l'avantage de "pratiquer un loisir"?
a) Cela coûte cher
b) Cela aide à se relaxer
c) Cela prend beaucoup de temps
d) Cela n'a aucun effet
Si tu es passionné par la gastronomie, que pourrais-tu aimer faire?
a) Cuisiner
b) Faire du jardinage
c) Danser
d) Jouer aux échecs
Quelle activité est typiquement associée aux vacances?
a) Travailler
b) Se détendre à la plage
c) Étudier
d) Rester à la maison
Quel adjectif décrit une personne qui aime voyager?
a) Aventureux
b) Timide
c) Ennuyeux
d) Sédentaire
Quel est le terme pour "faire du bénévolat" en français?
a) Être bénévole
b) Travailler gratuitement
c) S'engager
d) Aider les autres
Quel événement culturel pourrais-tu apprécier si tu aimes le théâtre?
a) Un concert
b) Une pièce de théâtre
c) Un match de football
d) Une exposition d'art
Quel type de film pourrait intéresser quelqu'un qui aime l'action?
a) Un drame
b) Une comédie
c) Un film d'horreur
d) Un film d'action
Que signifie "aller au cinéma"?
a) Regarder des films à la maison
b) Acheter des vêtements
c) Assister à une projection de films
d) Visiter des musées
Quel est l’un des loisirs liés à l’informatique?
a) La sculpture
b) La programmation
c) La peinture
d) La danse
Quel est un passe-temps qui peut être pratiqué seul ou en groupe?
a) Nager
b) Jouer aux jeux vidéo
c) Lire des livres
d) Toutes les réponses ci-dessus
Si tu préfères les activités créatives, quel hobby pourrais-tu choisir?
a) Faire du vélo
b) Écrire des poèmes
c) Regarder des séries
d) Visiter des lieux historiques
Bonne chance!
Выберите правильную форму: герундий (V-ing) или инфинитив (to + V) и вставьте её в пропуски.
I enjoy __________ (read) novels in my free time.
Ответ: reading
She decided __________ (join) the swimming club.
Ответ: to join
They are interested in __________ (learn) new languages.
Ответ: learning
He forgot __________ (take) his umbrella when he left.
Ответ: to take
My brother suggested __________ (watch) a movie tonight.
Ответ: watching
It’s important __________ (practice) every day if you want to improve.
Ответ: to practice
I can't stand __________ (wait) for a long time.
Ответ: waiting
We hope __________ (visit) Paris next summer.
Ответ: to visit
She avoided __________ (talk) about the problem.
Ответ: talking
They promised __________ (help) us with our homework.
Ответ: to help
I look forward to __________ (see) you at the party.
Ответ: seeing
He loves __________ (play) football on the weekends.
Ответ: playing
It’s time __________ (go) home now.
Ответ: to go
I enjoy __________ (cook), especially Italian dishes.
Ответ: cooking
Постарайтесь внимательно прочитать каждое предложение и выберите форму, которая подходит лучше всего! Удачи на тесте!