Julia took ... the English lesson from the first lesson. I dream to become a writer and doing English homework is most of my time. The plane took ... of the train and I will arrive in Moscow with my family. Take ... your jacket! It is rather warm in here. Sandra is so well-mannered and good-humoured, she definitely takes ... her mother. If you want to be fit and healthy, why don't you take ... swimming?

Решение:

Это задание на выбор правильного предлога (phrasal verb) или артикля.

• Julia took up the English lesson from the first lesson. (to take up - начать заниматься чем-то).
• The plane took off the train (некорректная фраза, но из предложенных 'off' подходит по смыслу, как 'отделился', хотя обычно говорят 'took off from the runway').
• Take off your jacket! (to take off - снять одежду).
• Sandra ... definitely takes after her mother. (to take after - быть похожим на кого-то).
• If you want to be fit and healthy, why don't you take up swimming? (to take up - начать заниматься чем-то).

Ответ: up, off, off, after, up.