Cho hai đường thẳng . Vị trí tương đối của d và d' là:

Cho hai đường thẳng . Vị trí tương đối của d và d' là:

Cho hai vectơ  và  đều khác vectơ-không. Mệnh đề nào sau đây đúng? (kí hiệu  // (P) chỉ vectơ a có giá song song hoặc nằm trên (P)).

Cho mặt cầu (S): x² + y² + z² + 2x - 4y - 2z - 10 = 0 và mặt phẳng (P): 2x + y + 2z = 0. Khi đó vị trí tương đối của mặt phẳng (P) và mặt cầu (S) là:

Mặt cầu (S): (x - 1)² + y² + (z + 2)² - 2 = 0

Giao điểm của đường thẳng d: với mặt phẳng Oxy có tọa độ là:

Cho mặt phẳng (α): 3x + (m - 4)y - 3mz + 2m - 8 = 0 . Với giá trị nào của m, mặt phẳng (α) tiếp xúc với mặt cầu có phương trình (S): (x - 1)² + (y + 3)² + (z + 1)² = 3.

Cho mặt cầu (S): x² + y² + z² + 2x - 4y - 2z + 2= 0 và mặt phẳng (P): x + y + 3z = 0. Khi đó vị trí tương đối của mặt phẳng (P) và mặt cầu (S) là:

Tập hợp các điểm cách đều hai mặt phẳng cắt nhau là:

Để tính khoảng cách từ điểm A đến đường thẳng d, một học sinh đã trình bày bài giải theo ba bước như sau:
Bước 1. Viết phương trình mặt phẳng (P) qua A và vuông góc với d.
Bước 2. Tìm tọa độ giao điểm H của d và (P).
Bước 3. Khoảng cách cần tìm là AH.
Hỏi cách giải trên đúng hay sai, nếu sai, sai từ bước nào?

Cho hình hộp chữ nhật có ba kích thước là 1; 2; 3. Khoảng cách giữa hai đường thẳng A'C và DC' bằng :

Reading the following passage and mark the letter A,B,C or D on your anwer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

The latest addiction to trap thousands of people is the Internet, which has been (31)____ for broken relationships, job losses, financial ruin and even one suicide. Psychologists now recognize Internet Addiction Syndrom (IAS) as a new illness that could (32)______ serious problems and ruin many lives. Special help groups have been set up to offer suffers help and support. IAS is similar to (33)_____ problems like gambling, smoking and drinking: addicts have dreams about the Internet, they need to use it first thing in the morning; they lie to their partner about how much time they spend online; they wish they could cut down, but are unable to do so. A recent study found that many users spend up to 40 hours a week on the Internet; although they felt guilty, they became depressed if they were (34) ___________ to stop using it. Almost anyone can be at risk. Some of the addicts are teenagers who are already hooked on computer games and who (35) ___________ it very difficult to resist the games on the Internet. Surprisingly, however, psychologists say that most victims are middle-aged housewives who have never used a computer before.  

Question 34:

Reading the following passage and mark the letter A,B,C or D on your anwer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

The latest addiction to trap thousands of people is the Internet, which has been (31)____ for broken relationships, job losses, financial ruin and even one suicide. Psychologists now recognize Internet Addiction Syndrom (IAS) as a new illness that could (32)______ serious problems and ruin many lives. Special help groups have been set up to offer suffers help and support. IAS is similar to (33)_____ problems like gambling, smoking and drinking: addicts have dreams about the Internet, they need to use it first thing in the morning; they lie to their partner about how much time they spend online; they wish they could cut down, but are unable to do so. A recent study found that many users spend up to 40 hours a week on the Internet; although they felt guilty, they became depressed if they were (34) ___________ to stop using it. Almost anyone can be at risk. Some of the addicts are teenagers who are already hooked on computer games and who (35) ___________ it very difficult to resist the games on the Internet. Surprisingly, however, psychologists say that most victims are middle-aged housewives who have never used a computer before.  

Question 35:

Read the following passage and mark the letter A,B ,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks:

Organized football games began in 1863. In football, two (31)_____ of eleven players try to kick or head the ball into the goal of the other team. The goal keeper, (32)_____tries to keep the ball out of the goal, is the only player on the field who can touch the ball with his or her hands. The other players must use their feet, heads and bodies to (33)_____ the ball. Every four years, football teams around the world (34)_____ for the World Cup. The World Cup competition started in 1930. Brazil is the home of many great football players, including the most famous player of all, Pele’. With his fast dazzling speed, Pele’ played for many years in Brazil and then in New York. People in more than 140 countries (35)_____ the world play football. It is definitely the world’s most popular sport.  

Question 35:

Read the following passage and mark the letter A,B ,C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks:

Organized football games began in 1863. In football, two (31)_____ of eleven players try to kick or head the ball into the goal of the other team. The goal keeper, (32)_____tries to keep the ball out of the goal, is the only player on the field who can touch the ball with his or her hands. The other players must use their feet, heads and bodies to (33)_____ the ball. Every four years, football teams around the world (34)_____ for the World Cup. The World Cup competition started in 1930. Brazil is the home of many great football players, including the most famous player of all, Pele’. With his fast dazzling speed, Pele’ played for many years in Brazil and then in New York. People in more than 140 countries (35)_____ the world play football. It is definitely the world’s most popular sport.  

Question 34:

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

In the 1998 World Cup, sports fans around the world (31) ________ various battles between fierce football rivals but also between the companies that sponsored them. Nike sponsored Brazil. Adidas sponsored France. While the teams (32) ________ for the biggest prize in football, the two companies tried to win the biggest battle, the battle of the brands as 500 million people from 195 countries turn in to watch the greatest footballers in the world. Afterwards, the sportswear companies hope was for people to go out and buy some new kits. Adidas paid $20 million for the privilege of being an official sponsor of the 1998 World Cup and so one might have assumed it would have had the greatest presence at the (33) ________. Sometimes, however, sponsoring doesn’t (34) ________ the company much good. Other times, the sponsors advertising campaigns are very original. Nike has claimed that if sponsors really want to support athletes, they can’t turn up only for the photo opportunities and the media events and smile and (35) ________ for the cameras. They have to accept the whole package with its spitting, swearing, sweating and blistering-breaking. They just have to get used to it.

Question 34:        

Read the following passage and mark the letter A, B, C or D to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

In the 1998 World Cup, sports fans around the world (31) ________ various battles between fierce football rivals but also between the companies that sponsored them. Nike sponsored Brazil. Adidas sponsored France. While the teams (32) ________ for the biggest prize in football, the two companies tried to win the biggest battle, the battle of the brands as 500 million people from 195 countries turn in to watch the greatest footballers in the world. Afterwards, the sportswear companies hope was for people to go out and buy some new kits. Adidas paid $20 million for the privilege of being an official sponsor of the 1998 World Cup and so one might have assumed it would have had the greatest presence at the (33) ________. Sometimes, however, sponsoring doesn’t (34) ________ the company much good. Other times, the sponsors advertising campaigns are very original. Nike has claimed that if sponsors really want to support athletes, they can’t turn up only for the photo opportunities and the media events and smile and (35) ________ for the cameras. They have to accept the whole package with its spitting, swearing, sweating and blistering-breaking. They just have to get used to it.

Question 35:        

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

My home is in the air – I do an enormous amount of travelling. It is a fast life and full of work, but I like it and that is the only way (31)..................me. Everything is tiring – music, travelling – but what can I do? I am not (32).................to complaining. It is hart to imagine now that I will never be very long in one place. My home town is on the Caspian Sea. There is sea, wind, sun and too many tourists and hotels. I have my own flat with four or five rooms. But I am seldom there. If I am there for a day or two I prefer to (33)................ with my mother and grandmother. They live in a small house, but it is very comfortable and my mother cooks for me. I like good, simple food. I have no wife, no brothers or sisters and my father died when I was seven. He was an engineer and I don’t ( 34).............him very well. He liked music very much and wanted me to (35)..............a musician.

Question 35:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

My home is in the air – I do an enormous amount of travelling. It is a fast life and full of work, but I like it and that is the only way (31)..................me. Everything is tiring – music, travelling – but what can I do? I am not (32).................to complaining. It is hart to imagine now that I will never be very long in one place. My home town is on the Caspian Sea. There is sea, wind, sun and too many tourists and hotels. I have my own flat with four or five rooms. But I am seldom there. If I am there for a day or two I prefer to (33)................ with my mother and grandmother. They live in a small house, but it is very comfortable and my mother cooks for me. I like good, simple food. I have no wife, no brothers or sisters and my father died when I was seven. He was an engineer and I don’t ( 34).............him very well. He liked music very much and wanted me to (35)..............a musician.

Question 34:

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

The warming of the Pacific Ocean has created weather pattern--------31-------- strongly affect the world. When the water is warm, the amount of rainfall in Indonesia and the surrounding regions decreases. Australia could ------32-------- experience a drought in many parts. On the other hand, Chile (which borders the Pacific Ocean) is preparing for severe rainstorms. In Pakistan and northwestern India, the weather pattern makes the rainy season weaker and makes the area much drier. This happening is called El Nino and is used ------33------ weather forecasters to make long-range weather predictions. They also know that El Nino will bring unusually rain to the southwestern part of the United States and make the central part of the country drier at the same time. According to research, weather forecasters ------34------- know about the coming weather with certainty. Now everything has become completely different. El Nino itself used to be predictable. It would occur every two to seven years. But now this weather pattern is becoming more frequent. We cannot say when and how often tornadoes or cyclones occur. Scientists are unsure of the reason for this ------35-------- on the global scale either.  

Question 34:

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blanks from 31 to 35:

The warming of the Pacific Ocean has created weather pattern--------31-------- strongly affect the world. When the water is warm, the amount of rainfall in Indonesia and the surrounding regions decreases. Australia could ------32-------- experience a drought in many parts. On the other hand, Chile (which borders the Pacific Ocean) is preparing for severe rainstorms. In Pakistan and northwestern India, the weather pattern makes the rainy season weaker and makes the area much drier. This happening is called El Nino and is used ------33------ weather forecasters to make long-range weather predictions. They also know that El Nino will bring unusually rain to the southwestern part of the United States and make the central part of the country drier at the same time. According to research, weather forecasters ------34------- know about the coming weather with certainty. Now everything has become completely different. El Nino itself used to be predictable. It would occur every two to seven years. But now this weather pattern is becoming more frequent. We cannot say when and how often tornadoes or cyclones occur. Scientists are unsure of the reason for this ------35-------- on the global scale either.  

Question 35: