GRAMMAR: Choose the options that best fit the blanks. 1.What ……………in Paris in 2004? A. did you do B. were you doing C. you did D. were you 2.I …………… in the queue when I …………… that I had lost my wallet. A. was standing – was realizing B. stood – was realizing C. was standing – realized D. stood – realized 3.What …………… when you injured your finger? – I was playing volleyball. A. did you do B. were you C. you did D. were you doing 4.This time last week, we …………… for the exam. It was so hot in the examination room. A. would have been sitting B. had been sitting C. sat D. were sitting 5.When I first saw Miriam, I …………… her to come in for tea and we talked for nearly two hours. A. invited B. invite C. have invited D. was inviting 6.The girls were chatting …………… the boys were playing games. A. when B. while C. during D. at the same time 7.While the teacher was explaining to the whole class, she …………… carefully. A. didn't listen B. wasn't listening C. had listened D. wasn't listened 8.We arrived at the hotel quite early, …………… in and had lunch. A. checking B. checked C. was checking D. to check 9.She …………… in Provence, France for two years when she was a student. A. was living B. lived C. had lived D. has lived 10. ……………my mother and I were cooking in the kitchen, John came in and broke the dish.
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D. were sitting
D. were you doing
C. was standing - realized
B. were you doing
Để tìm giá trị lớn nhất của biểu thức T = (x1/x2)^3 + (x2/x1)^3, ta có thể sử dụng bất đẳng thức trung bình cộng-không bằng nhau (AM-GM inequality):Ta có: (x1/x2)^3 + (x2/x1)^3 ≥ 2*√[(x1/x2)^3*(x2/x1)^3] = 2Do đó, để T đạt giá trị lớn nhất, ta cần mà (x1/x2)^3 = (x2/x1)^3, hay x1/x2 = x2/x1, suy ra x1 = x2.Vậy m = 1 để biểu thức T đạt giá trị lớn nhất.Do đó, câu trả lời cho câu hỏi "tìm m để T = (x1/x2)^3 + (x2/x1)^3 đạt giá trị lớn nhất" là m = 1.