Cho mặt cầu có bán kính . Mặt phẳng (P) cắt mặt cầu (S) theo giao tuyến là đường tròn (C) có chu vi bằng . Tính khoảng cách d từ I đến mặt phẳng (P).         

Trong không gian với hệ toạ độ Oxyz, mặt cầu tâm O và tiếp xúc với mặt phẳng có bán kính bằng:         

Người ta bỏ ba quả bóng bàn cùng kích thước vào trong một chiếc hộp hình trụ có đáy bằng hình tròn lớn của quả bóng bàn và chiều cao bằng ba lần đường kính bóng bàn. Gọi là tổng diện tích của ba quả bóng bàn, là diện tích xung quanh của hình trụ. Tỉ số bằng:  

Trong các hình hộp nội tiếp một mặt cầu bán kính R thì:

Cho mặt cầu (S) có bán kính . Gọi (T) là hình trị có hai đường tròn đáy nằm trên (S) và diện tích thiết diện qua trục của (T) là lớn nhất. Tính diện tích toàn phần của (T).

Mặt cầu có diện tích bằng , thể tích khối cầu bằng:  

Khối cầu có bán kính . Thể tích của khối cầu là ?            

Cho đường tròn tâm  có đường kính  nằm trong mặt phẳng . Gọi  là điểm đối xứng với  qua  Lấy điểm  sao cho  và  Tính bán kính  mặt cầu đi qua đường tròn đã cho và điểm   

Cắt mặt cầu (S) bằng một mặt phẳng cách tâm một khoảng bằng 4cm được một thiết diện là một hình tròn có diện tích Tính thể tích khối cầu (S). 

Cho đường tròn và điểm nằm ngoài mặt phẳng chứa . Có tất cả bao nhiêu mặt cầu chứa đường tròn và đi qua ?

Mặt cầu  có diện tích là . Đường kính của mặt cầu là:

Cho hai đường thẳng song song d và d '.Xét các mặt cầu tiếp xúc với cả hai đường thẳng d và d '.Mệnh đề nào sau đây đúng?          .

Cho mặt cầu và điểm cố định với . Qua , kẻ đường thẳng tiếp xúc với mặt cầu  tại . Công thức nào sau đây được dùng để tính độ dài đoạn thẳng ?

Gọi (S) là khối cầu bán kính R, (N) là khối nón có bán kính đáy R và chiều cao h. Biết rằng thể tích của khối cầu (S) và khối nón (N) bằng nhau, tính tỉ số .           

Một hình hộp chữ nhật nối tiếp mặt cầu có ba kích thước là . Khi đó bán kính của mặt cầu bằng:  

Một hình nón có thiết diện qua trục là tam giác đều cạnh a. Tính bán kính mặt cầu ngoại tiếp hình nón theo a.                

Cho mặt cầu bán kính R ngoại tiếp một hình lập phương cạnh a. Mệnh đề nào dưới đây đúng ?         

Cho mặt cầu có diện tích bằng . Thể tích khối cầu là:  

Cho hình chóp tứ giác đều có cạnh đáy bằng , cạnh bên bằng . Bán kính của mặt cầu ngoại tiếp khối chóp là:  

Cho khối cầu tâm O bán kính R. Mặt phẳng (P) cách O một khoảng  chia khối cầu thành hai phần. Tính tỉ số thể tích của hai phần đó.         

Khối cầu bán kinh r có thể tích là ?         

Cho mặt cầu tâm O, bán kính . Mặt phẳng cắt mặt cầu sao cho giao tuyến là đường tròn đi qua ba điểm  mà . Tính khoảng cách từ đến .          

Một hình nón đỉnh O có diện tích xung quanh bằng , độ dài đường cao bằng 8cm. Khối cầu (S) có tâm là đỉnh hình nón, bán kính bằng độ dài đường sinh của hình nón. Thể tích khối cầu (S) bằng ?        

Cho mặt cầu có bán kính . Mặt phẳng (P) cắt mặt cầu (S) theo giao tuyến là đường tròn (C) có chu vi bằng . Tính khoảng cách d từ I đến mặt phẳng (P).         

Thể tích của khối cầu bán kính R bằng.

Cho khối cầu (O) bán kính , mặt phẳng cách tâm O của khối cầu một khoảng bằng 1, cắt khối cầu theo một hình tròn. Gọi S là diện tích của hình tròn này. Tính S.             

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 Personal space is a term that refers (24)______the distance we like to keep between ourselves  and other people. When (25)______we do not know well gets too close we usually begin to feel uncomfortable. If a business colleague comes closer than 1.2 meters, the most common response is to move (26_______ . Some interesting (27)______ have been done in libraries. If strangers come too close, many people get up and leave the building; others use different methods such as turning their back on the intruder. Living in cities has made people develop new skills for dealing with situations where they are very close to strangers. Most people on crowded trains try not to look at strangers; they avoid skin contact, and apologize if hands touch by mistake. People use newspapers (28)______ a barrier between themselves and other people, and if they do not have one, they stare into the distance, making sure they are not looking into anyone’s eyes.  

Question 27:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 Personal space is a term that refers (24)______the distance we like to keep between ourselves  and other people. When (25)______we do not know well gets too close we usually begin to feel uncomfortable. If a business colleague comes closer than 1.2 meters, the most common response is to move (26_______ . Some interesting (27)______ have been done in libraries. If strangers come too close, many people get up and leave the building; others use different methods such as turning their back on the intruder. Living in cities has made people develop new skills for dealing with situations where they are very close to strangers. Most people on crowded trains try not to look at strangers; they avoid skin contact, and apologize if hands touch by mistake. People use newspapers (28)______ a barrier between themselves and other people, and if they do not have one, they stare into the distance, making sure they are not looking into anyone’s eyes.  

Question 28:

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 According to the European Pizza-Makers’ Association, making a good pizza is not a straight forward skill to learn. The ingredients seem very (24) _______: flour, yeast, water and a bit of salt. But water and flour can easily make glue and anyone who has eaten a (25) _______ quality pizza will know how bad it can make your stomach feel. “In Italy, 70% of pizza makers could improve on their product, not to (26) _______ all the pizza makers around the world who serve uneatable meals”, says Antonio Primiceri, the Association's founder. He has now started a pizza school in an attempt to save the reputation of this traditional dish. As part of a/ an (27) _______ course, the students at Mr Primiceri's school are taught to avoid common mistakes, produce a good basic mixture, add a tasty topping and cook the pizza properly. Test the finished pizza by breaking the crust, advises Mr Primiceri: “If the soft part inside the pizza is white, clean and dry, it's a good pizza. If it is not like this, the pizza will upset your stomach. You will feel (28) _______ full and also thirsty”. In Italy alone, the pizza industry has an annual turnover of more than $12 billion. Mr Primiceri estimated that there are 10,000 jobs in pizza restaurants waiting to be filled by those with real skills. “If you are a good pizza cook, you will never be without a job”, he says.

Question 24:       

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 According to the European Pizza-Makers’ Association, making a good pizza is not a straight forward skill to learn. The ingredients seem very (24) _______: flour, yeast, water and a bit of salt. But water and flour can easily make glue and anyone who has eaten a (25) _______ quality pizza will know how bad it can make your stomach feel. “In Italy, 70% of pizza makers could improve on their product, not to (26) _______ all the pizza makers around the world who serve uneatable meals”, says Antonio Primiceri, the Association's founder. He has now started a pizza school in an attempt to save the reputation of this traditional dish. As part of a/ an (27) _______ course, the students at Mr Primiceri's school are taught to avoid common mistakes, produce a good basic mixture, add a tasty topping and cook the pizza properly. Test the finished pizza by breaking the crust, advises Mr Primiceri: “If the soft part inside the pizza is white, clean and dry, it's a good pizza. If it is not like this, the pizza will upset your stomach. You will feel (28) _______ full and also thirsty”. In Italy alone, the pizza industry has an annual turnover of more than $12 billion. Mr Primiceri estimated that there are 10,000 jobs in pizza restaurants waiting to be filled by those with real skills. “If you are a good pizza cook, you will never be without a job”, he says.

Question 26:        

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 According to the European Pizza-Makers’ Association, making a good pizza is not a straight forward skill to learn. The ingredients seem very (24) _______: flour, yeast, water and a bit of salt. But water and flour can easily make glue and anyone who has eaten a (25) _______ quality pizza will know how bad it can make your stomach feel. “In Italy, 70% of pizza makers could improve on their product, not to (26) _______ all the pizza makers around the world who serve uneatable meals”, says Antonio Primiceri, the Association's founder. He has now started a pizza school in an attempt to save the reputation of this traditional dish. As part of a/ an (27) _______ course, the students at Mr Primiceri's school are taught to avoid common mistakes, produce a good basic mixture, add a tasty topping and cook the pizza properly. Test the finished pizza by breaking the crust, advises Mr Primiceri: “If the soft part inside the pizza is white, clean and dry, it's a good pizza. If it is not like this, the pizza will upset your stomach. You will feel (28) _______ full and also thirsty”. In Italy alone, the pizza industry has an annual turnover of more than $12 billion. Mr Primiceri estimated that there are 10,000 jobs in pizza restaurants waiting to be filled by those with real skills. “If you are a good pizza cook, you will never be without a job”, he says.

Question 25:       

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 According to the European Pizza-Makers’ Association, making a good pizza is not a straight forward skill to learn. The ingredients seem very (24) _______: flour, yeast, water and a bit of salt. But water and flour can easily make glue and anyone who has eaten a (25) _______ quality pizza will know how bad it can make your stomach feel. “In Italy, 70% of pizza makers could improve on their product, not to (26) _______ all the pizza makers around the world who serve uneatable meals”, says Antonio Primiceri, the Association's founder. He has now started a pizza school in an attempt to save the reputation of this traditional dish. As part of a/ an (27) _______ course, the students at Mr Primiceri's school are taught to avoid common mistakes, produce a good basic mixture, add a tasty topping and cook the pizza properly. Test the finished pizza by breaking the crust, advises Mr Primiceri: “If the soft part inside the pizza is white, clean and dry, it's a good pizza. If it is not like this, the pizza will upset your stomach. You will feel (28) _______ full and also thirsty”. In Italy alone, the pizza industry has an annual turnover of more than $12 billion. Mr Primiceri estimated that there are 10,000 jobs in pizza restaurants waiting to be filled by those with real skills. “If you are a good pizza cook, you will never be without a job”, he says.

Question 28:        

Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct word or phrase thet best fits each of the numbered blanks from 24 to 28:

 According to the European Pizza-Makers’ Association, making a good pizza is not a straight forward skill to learn. The ingredients seem very (24) _______: flour, yeast, water and a bit of salt. But water and flour can easily make glue and anyone who has eaten a (25) _______ quality pizza will know how bad it can make your stomach feel. “In Italy, 70% of pizza makers could improve on their product, not to (26) _______ all the pizza makers around the world who serve uneatable meals”, says Antonio Primiceri, the Association's founder. He has now started a pizza school in an attempt to save the reputation of this traditional dish. As part of a/ an (27) _______ course, the students at Mr Primiceri's school are taught to avoid common mistakes, produce a good basic mixture, add a tasty topping and cook the pizza properly. Test the finished pizza by breaking the crust, advises Mr Primiceri: “If the soft part inside the pizza is white, clean and dry, it's a good pizza. If it is not like this, the pizza will upset your stomach. You will feel (28) _______ full and also thirsty”. In Italy alone, the pizza industry has an annual turnover of more than $12 billion. Mr Primiceri estimated that there are 10,000 jobs in pizza restaurants waiting to be filled by those with real skills. “If you are a good pizza cook, you will never be without a job”, he says.

Question 27:      

Read the following pasage 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:

Our classes take place for three hours every morning from Monday to Friday. The (31)_________ class size is twelve and the average is ten. We use modern methods (32)_________ teaching  and learning, and the school has a language laboratory, a video camera and recorders. You will only be successful in improving your English; however, if you work hard and practise speaking English as much as you can. You will take a short (33)_________ in English as soon as you arrive. In this way, we can put you in a (34)_________ at the most suitable level. The emphasis is on oral communication practice in a wide (35)_________ of situations at the advanced knowledge. You will learn how to use language correctly and appropriately when you talk to native speakers. In addition, you will develop such study skills as reading efficiently, writing articles and reports, and note-taking from books and lectures.  

Question 34:           

Read the following pasage 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:

Our classes take place for three hours every morning from Monday to Friday. The (31)_________ class size is twelve and the average is ten. We use modern methods (32)_________ teaching  and learning, and the school has a language laboratory, a video camera and recorders. You will only be successful in improving your English; however, if you work hard and practise speaking English as much as you can. You will take a short (33)_________ in English as soon as you arrive. In this way, we can put you in a (34)_________ at the most suitable level. The emphasis is on oral communication practice in a wide (35)_________ of situations at the advanced knowledge. You will learn how to use language correctly and appropriately when you talk to native speakers. In addition, you will develop such study skills as reading efficiently, writing articles and reports, and note-taking from books and lectures.  

Question 33:         

Read the following pasage 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:

Our classes take place for three hours every morning from Monday to Friday. The (31)_________ class size is twelve and the average is ten. We use modern methods (32)_________ teaching  and learning, and the school has a language laboratory, a video camera and recorders. You will only be successful in improving your English; however, if you work hard and practise speaking English as much as you can. You will take a short (33)_________ in English as soon as you arrive. In this way, we can put you in a (34)_________ at the most suitable level. The emphasis is on oral communication practice in a wide (35)_________ of situations at the advanced knowledge. You will learn how to use language correctly and appropriately when you talk to native speakers. In addition, you will develop such study skills as reading efficiently, writing articles and reports, and note-taking from books and lectures.  

Question 35: