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4. Call that polynomial P (x) = ax3 + bx2 + cx + d
We have P(1)=a+b+c+d=3 (1)
P(2)=8a+4b+2c+d=3 (2)
P(3)=27a+9b+3c+d =7 (3)
P(4)=64a+16b+4c+d =21 (4)
From (1) and (2) => 7a+3b+c=0
From (1) and (4) => 63a+15b+3c=18
=> 12b+6c=-18 => 2b+c=-3
From (1) and (3) =>26a+8b+2c=4=> 13a+4b+c=2
=> 13a+2b=5
It is possible
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Tham khảo
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Câu 1. Đáp án D few people could read to themselves
Thông tin ở đầu đoạn 1:”Reading to………….reading aloud”. (Đọc thầm 1 mình là 1 hoạt động hiện đại mà hầu như không hề được biết đến đối với các học giả thời cổ điển và thời trung cổ,trong khi vào thế kỷ 15,nói đến đọc nghĩa là đọc lớn tiếng.) |
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Câu 2. Đáp án D widely used
Định nghĩa của commonplace: được sử dung rộng rãi,phổ biến thông dụng |
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Câu 3. Đáp án C a change in the nature of reading
Thông tin ở 2 đoạn 2:”examination of factors………….in character”. (Sự khỏa sát các yếu tố liên quan đến sự phát triển có tính lịch sử của việc đọc thầm đã trở thành lối đọc thông dụng đối với đa số người lớn vì bản thân việc đọc đã thay đổi bản chất.) |
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Câu 4. Đáp án C the increase in literacy
Thông tin ở đầu đoạn 3:”The lát century saw…………………to read aloud”: (Thế kỷ vừa qua chứng kiến 1 sự gia tăng, số người đọc tiềm năng giảm bớt và do vậy nhu cầu đọc lớn tiếng cũng giảm đi.) |
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Câu 5. Đáp án A a decline of standards of literacy
Thông tin ở cuối đoạn 4:”However,………..on the other”: Tuy nhiên dù lợi ích của việc đọc là gì đi nữa,thì cái nền văn hóa chia sẻ tri thức của ngày xưa cũng đã biến mất và bị thay thế bởi 1 nền báo chí và 1 bên là sách vở và các ấn phẩm định kỳ dành cho các độc giả chuyên ngành |
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Câu 6. Đáp án B a limited number of readers in a particular area of knowledge
Số đọc giả có giới hạn chuyên về 1 ngành kiến thức riêng biệt |
| Câu 7. Đáp án B practises reading to an audience (Đọc cho 1 số thính giả nghe) |
| Câu 8. Đáp án A the inappropriate reading skills (Kỹ năng đọc không phù hợp) |
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Câu 9. Đáp án C
The decline of reading aloud was wholly due to its distracting effect. Sự suy giảm việc đọc lớn tiếng la do tác dụng làm phiền người khác của nó |
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Câu 10. Đáp án A explain how reading habits have developed
Tác giả đã cố giải thích thói quen đọc đã thay đổi như thế nào |
1. The schoolboys were _____excited______ to go to the match between their school and the nearby one. (excite)
2. Many workers are _____disppointed______ to receive the pay when they start the first job.(disappoint)
3. To tell the truth, I was ___amused______ to read the funny stories written by my classmate.(amuse)
4. All of us got ___shocked_____ to hear of the accident happening to our close friend, Henry. (shock)
5. Nowadays no one is _____free_____ to do what he wants if it does harm to the community. (freedom)
6. My pet dog is _____cased?_____ to please, so I can give it anything edible. (case)
7. The _____farmers____ in the village are is->are sad to hear that there will be no rain in the next two weeks. (farm)
8. Green Peace is an ___organization_____ keen to protect the environment (organize)
9. The scientist is sure to find something _____useful_____ from his experiment.(use)
11. Mike failed his physics final ____exam____ and had to sit it again. (examine)
12. Their teachers used to punish them by ____making_____ them stay behind after school. (make)
13. Everyone agrees that a good _____education______ is important. (educate)
14. This book has a very ____interesting______ introduction. (interest)
15. We find listening ___comprehension_____ tests rather difficult. (comprehend)
16. Ben went on to be a very ____successful______ student at university. (success)
17. You should pay more ____attention______ in class if you want to make progress. (attend)
18. Before you begin the exam paper, please read the instructions ____carefully____ (care)
19. In our country, children start ____secondary______ school at 12 years old.(second)
20. Ben missed the test because of his ___absence_____last Monday. (absent)
21. You must be ___careful_______ when you open that door. (care)
22. We'll live a happier and _____healthier_____ life if we keep our environment clean.(health)
23. You are talking complete _____sensibly______ (sense)
25. Some ____environmental______ groups have declared a boycott of tourism on the island. (environment)
26. Air _____pollution_______ can cause illness and even death. (pollute)
27. We're very _______excited___ about our holiday. (excite)
28. Jackson canceled the concert to the great ______disappointment___ (disappoint)
29. Customers made a formal ____complaint_____ treated (complain)
30. She declined his invitation because of the ____impoliteness_____ of his fans (polite)
31. That old man told me an ____amazing_____ story (amaze)
32. Gasoline fumes ____pollute(tham khảo c32)____ the city air (pollution)
33. I think the careless drivers should be fined ____heavily____ (heavy)
34. Many people are concerned about the pollution of the ____environment_____ (environmental)
35. The seaside has a ____healthy_____ climate (health)
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 55 to 64.
Overpopulation, the situation of having large numbers of people with too few resources and too little space, is closely associated with poverty. It can result from high population density, or from low amounts of resources, or from both. Excessively high population densities put stress on available resources. Only a certainnumber of people can be supported on a given area of land, and that number depends on how much food and other resources the land can provide. In countries where people live primarily by means of simple farming, gardening, herding, hunting, and gathering, even large areas of land can support only small numbers of people because these labor-intensive subsistence activities produce only small amounts of food.
In developed countries such as the United States, Japan, and the countries of Western Europe, overpopulation generally is not considered a major cause of poverty. These countries produce large quantities of food through mechanized farming, which depends on commercial fertilizers, large-scale irrigation, and agricultural machinery. This form of production provides enough food to support the high densities of people in metropolitan areas.
A country’s level of poverty can depend greatly on its mix of population density and agricultural productivity. Bangladesh, for example, has one of the world’s highest population densities, with 1,147 persons per sq km. A large majority of the people of Bangladesh engage in low-productivity manual farming, which contributes to the country’s extremely high level of poverty. Some of the smaller countries in Western Europe, such as the Netherlands and Belgium, have high population densities as well. These countries practice mechanized farming and are involved in high-tech industries, however, and therefore have high standards of living.
At the other end of the spectrum, many countries in sub-Saharan Africa have population densities of less than 30 persons per sq km. Many people in these countries practice manual subsistence farming; these countries also have infertileland, and lack the economic resources and technology to boost productivity. As a consequence, these nations are very poor. The United States has both relatively low population density and high agricultural productivity; it is one of the world’s wealthiest nations.
High birth rates contribute to overpopulation in many developing countries. Children are assets to many poor families because they provide labor, usually for farming. Cultural norms in traditionally rural societies commonly sanction the value of large families. Also, the governments of developing countries often provide
little or no support, financial or political, for family planning; even people who wish to keep their families small have difficulty doing so. For all these reasons, developing countries tend to have high rates of population growth.
From "Poverty" by Thomas J. Corbett
Which of the following is given a definition in paragraph 1?
- A. Poverty
- B. Population density
- C. Overpopulation
- D. Simple farming
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Câu 2:
What will suffer when there are excessively high population densities?
- A. Available resources
- B. Farming methods
- C. Land area
- D. Skilled labor
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Câu 3:
The phrase “that number” in paragraph 1 refers to the number of ______.
- A. resources
- B. countries
- C. people
- D. densities
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Câu 4:
In certain countries, large areas of land can only yield small amounts of food because ______.
- A. there is an abundance of resources
- B. there is no shortage of skilled labor
- C. there are small numbers of laborers
- D. there is lack of mechanization
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Câu 5:
Bangladesh is a country where the level of poverty depends greatly on ______.
- A. population density in metropolitan areas
- B. both population density and agricultural productivity
- C. its population density only
- D. its high agricultural productivity
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Câu 6:
The phrase “engage in” in paragraph 3 is closest in meaning to ______.
- A. escape from
- B. look into
- C. give up
- D. participate in
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Câu 7:
The word “ infertile ” in paragraph 4 probably means ______.
- A. impossible
- B. unproductive
- C. disused
- D. inaccessible
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Câu 8:
Which of the following is TRUE, according to the passage?
- A. In sub-Saharan African countries, productivity is boosted by technology.
- B. There is no connection between a country’s culture and overpopulation.
- C. All small countries in Western Europe have high population densities.
- D. In certain developed countries, mechanized farming is applied.
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Câu 9:
Which of the following is a contributor to overpopulation in many developing countries?
- A. High-tech facilities
- B. High birth rates
- C. Economic resources
- D. Sufficient financial support
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Câu 10:
Which of the following could be the best title for the passage?
- A. High Birth Rate and its Consequences
- B. Poverty in Developing Countries
- C. Overpopulation: A Worldwide Problem
- D. Overpopulation: A Cause of Poverty
e chỉ biết mỗi đề bài thôi chứ bài này khó lắm
Đề bài:
Ann và Bob có một số lượng lớn đồ ngọt mà họ đồng ý chia sẻ theo các quy tắc sau. Ann sẽ lấy một viên ngọt, sau đó Bob sẽ lấy hai viên kẹo và sau đó thay phiên nhau, mỗi người lấy một viên ngọt hơn những gì người kia vừa lấy. Khi số kẹo còn lại ít hơn số kẹo sẽ lấy ở lượt đó thì người cuối cùng lấy hết số kẹo còn lại. Trước sự ngạc nhiên của họ, khi họ ăn xong, họ đều có số kẹo như nhau
Họ quyết định thực hiện chia lại lần nữa, nhưng lần này, trước tiên, họ chia kẹo thành hai đống bằng nhau và sau đó lặp lại quy trình trên với mỗi đống. Ann đi đầu tiên cả hai lần. Họ vẫn kết thúc với cùng một số lượng kẹo mỗi loại.
Số lượng đồ ngọt tối đa ít hơn 1000 mà họ có thể bắt đầu bằng là bao nhiêu?