Trong mặt phẳng tọa độ , cho đường thẳng  có phương trình  và điểm , phép vị tự tâm  tỉ số  biến đường thẳng  thành đường thẳng . Khi đó phương trình đường thẳng  là:        

Cho hình thang , với . Gọi  là giao điểm của hai đường chéo  và . Xét phép vị tự tâm  tỉ số  biến  thành . Mệnh đề nào sau đây là đúng?        

Trong măt phẳng  cho đường thẳng  có phương trình . Phép vị tự tâm  tỉ số  biến  thành đường thẳng nào trong các đường thẳng có phương trình sau?

Cho tam giác có trọng tâm gọi lần lượt là trung điểm của Với giá trị nào của thì phép vị tự tâm tỉ số biến tam giác thành tam giác    

Cho hai đường thẳng cắt nhau  và . Có bao nhiêu phép vị tự biến mỗi đường thẳng thành chính nó ?        

Phép biến hình nào biến đường thẳng  cho trước thành chính nó?

Cho hai đường tròn bằng nhau và với tâm và phân biệt. Có bao nhiêu phép vị tự biến thành ?                                 

Cho phép vị tự tỉ số biến điểm thành điểm và biến điểm thành điểm Khẳng định nào sau đây đúng?  

Trong mặt phẳng với hệ trục tọa độ . Cho đường tròn  có phương trình:  và điểm  Gọi  là ảnh của  qua phép vị tự  tâm  tỉ số Khi đó có phương trình là        

Cho phép vị tự tỉ số  biến điểm  thành điểm , biến điểm  thành điểm . Mệnh đề nào sau đây đúng?         

Trong mặt phẳng với hệ tọa độ , cho hai đường tròn lần lượt có phương trình là: và . Gọi  là ảnh của  qua phép vị tự tỉ số . Khi đó, giá trị của  là:        

Trong mặt phẳng với hệ trục tọa độ . Cho phép vị tự tâm  tỉ số biến điểm  thành  có tọa độ là        

Cho hình thang  có hai cạnh đáy là  và  thỏa mãn  Phép vị tự biến điểm  thành điểm  và biến điểm  thành điểm  có tỉ số  là:        

Cho hai đường thẳng song song  và . Có bao nhiêu phép vị tự với tỉ số  biến đường thẳng  thành đường thẳng ?        

Trong mặt phẳng Oxy, cho điểm. Ảnh của điểm A qua phép vị tự tâm O tỉ số có tọa độ là:  

Có bao nhiêu phép vị tự biến đường tròn  thành đường tròn  với ?        

Cho hai đường thẳng song song và Có bao nhiêu phép vị tự tỉ số biến đường thẳng thành đường thẳng    

Trong mặt phẳng  cho đường tròn  có phương trình. Phép vị tự tâm  tỉ số  biến  thành đường tròn nào trong các đường tròn có phương trình sau?        

Phép vị tự tâm  tỉ số  là phép nào trong các phép sau đây?        

Cho tam giác với trọng tâm Gọi lần lượt là trung điểm của các cạnh của tam giác Khi đó, phép vị tự nào sau đây biến tam giác thành tam giác  

Trong mặt phẳng với hệ trục tọa độ . Cho ba điểm  và Giả sử  phép vị tự tâm I tỉ số   biến điểm  thành . Khi đó giá trị của là        

Cho hình thang , với . Gọi là giao điểm của hai đường chéo  và . Gọi   là phép vị tự biến   thành . Trong các mệnh đề sau đây mệnh đề nào đúng?        

Cho tam giác  và  lần lượt là trung điểm các cạnh. Gọi  lần lượt là tâm đường tròn ngoại tiếp, trọng tâm và trực tâm của tam giác. Lúc đó phép biến hình biến tam giác  thành tam giác  là:        

Trong mặt phẳng tọa độ , cho đường thẳng  có phương trình  và điểm , phép vị tự tâm  tỉ số  biến đường thẳng  thành đường thẳng . Khi đó phương trình đường thẳng  là:        

Trong mặt phẳng tọa độ  cho ba điểm ,  và . Phép vị tự tâm  tỉ số  biến điểm  thành , biến điểm  thành . Mệnh đề nào sau đây là đúng?        

Read the following passage and choose 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:

Why is it that many teenagers have the energy to play computer games until late at night but can’t find the energy to get out of bed (26) __________ for school? According to a new report, today’s generation of children are in danger of getting so (27)________ sleep that they are putting their mental and physical health at (28)_________. Adults can easily survive on seven to eight hours sleep a night, (29)____________teenagers require nine or ten hours. According to medical experts, one in five youngsters (30)___________ anything between two and five hours sleep a night less than their parents did at their age.

Question 26:

Read the following passage and choose 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:

Why is it that many teenagers have the energy to play computer games until late at night but can’t find the energy to get out of bed (26) __________ for school? According to a new report, today’s generation of children are in danger of getting so (27)________ sleep that they are putting their mental and physical health at (28)_________. Adults can easily survive on seven to eight hours sleep a night, (29)____________teenagers require nine or ten hours. According to medical experts, one in five youngsters (30)___________ anything between two and five hours sleep a night less than their parents did at their age.

Question 29:

Read the following passage and choose 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:

Why is it that many teenagers have the energy to play computer games until late at night but can’t find the energy to get out of bed (26) __________ for school? According to a new report, today’s generation of children are in danger of getting so (27)________ sleep that they are putting their mental and physical health at (28)_________. Adults can easily survive on seven to eight hours sleep a night, (29)____________teenagers require nine or ten hours. According to medical experts, one in five youngsters (30)___________ anything between two and five hours sleep a night less than their parents did at their age.

Question 28:

Read the following passage and choose 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:

Why is it that many teenagers have the energy to play computer games until late at night but can’t find the energy to get out of bed (26) __________ for school? According to a new report, today’s generation of children are in danger of getting so (27)________ sleep that they are putting their mental and physical health at (28)_________. Adults can easily survive on seven to eight hours sleep a night, (29)____________teenagers require nine or ten hours. According to medical experts, one in five youngsters (30)___________ anything between two and five hours sleep a night less than their parents did at their age.

Question 30:  

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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 27 to 31:

Human beings have a strong need to put their experiences and problems into words. That is why everyone (27)… a “friendly ear” - someone who is willing to listen to their troubles and joys. But few people (28)……what a complex skill listening is. To be a good listener requires great powers of concentration, which can only be gained through practice. There are two reasons why listening is often such hard (29)……The first is simply that people much prefer to speak. How often have you missed what someone has said because you were thinking about what you were going to say (30)…The second reason is that people speak too slowly. The average speed is about 125 words per minute, (31)……is not fast enough for the human brain. It allows too much time for the oncentration to fail, as the brain tries to keep itself busy with other, irrelevant thoughts.

Question 29: 

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 27 to 31:

Human beings have a strong need to put their experiences and problems into words. That is why everyone (27)… a “friendly ear” - someone who is willing to listen to their troubles and joys. But few people (28)……what a complex skill listening is. To be a good listener requires great powers of concentration, which can only be gained through practice. There are two reasons why listening is often such hard (29)……The first is simply that people much prefer to speak. How often have you missed what someone has said because you were thinking about what you were going to say (30)…The second reason is that people speak too slowly. The average speed is about 125 words per minute, (31)……is not fast enough for the human brain. It allows too much time for the oncentration to fail, as the brain tries to keep itself busy with other, irrelevant thoughts.

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 that best fits each of the numbered blanks from 27 to 31:

Human beings have a strong need to put their experiences and problems into words. That is why everyone (27)… a “friendly ear” - someone who is willing to listen to their troubles and joys. But few people (28)……what a complex skill listening is. To be a good listener requires great powers of concentration, which can only be gained through practice. There are two reasons why listening is often such hard (29)……The first is simply that people much prefer to speak. How often have you missed what someone has said because you were thinking about what you were going to say (30)…The second reason is that people speak too slowly. The average speed is about 125 words per minute, (31)……is not fast enough for the human brain. It allows too much time for the oncentration to fail, as the brain tries to keep itself busy with other, irrelevant thoughts.

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 that best fits each of the numbered blanks from 27 to 31:

Human beings have a strong need to put their experiences and problems into words. That is why everyone (27)… a “friendly ear” - someone who is willing to listen to their troubles and joys. But few people (28)……what a complex skill listening is. To be a good listener requires great powers of concentration, which can only be gained through practice. There are two reasons why listening is often such hard (29)……The first is simply that people much prefer to speak. How often have you missed what someone has said because you were thinking about what you were going to say (30)…The second reason is that people speak too slowly. The average speed is about 125 words per minute, (31)……is not fast enough for the human brain. It allows too much time for the oncentration to fail, as the brain tries to keep itself busy with other, irrelevant thoughts.

Question 31:

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 first each of the numbered blank from 31 to 35:

Education is more important today than ever before. It helps people acquire the skills they need for such everyday (31) ________ as reading a newspaper or managing their money. It also gives them the specialized training they may need to prepare for a job or career. For example, a person must meet certain educational requirements and obtain a license or certificate before he can practice law or medicine. Many fields, like computer operation or police work, (32) ________ satisfactory completion of special training courses. Education is also important (33) ________ it helps people get more out of life. It increases their knowledge and understanding of the world. It helps them acquire the skills that make life more interesting and enjoyable, such as the skills needed to participate in a sport, paint a picture, or play a musical instrument. Such education becomes (34) ________ important as people gain more and more leisure time. Education also helps people adjust to change. This habit has become necessary because social changes today take place with increasing speed and affect the lives of more and more people. Education can help a person understand these changes and provide him (35) ________ the skills for adjusting to them. 

Question 32:

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 first each of the numbered blank from 31 to 35:

Education is more important today than ever before. It helps people acquire the skills they need for such everyday (31) ________ as reading a newspaper or managing their money. It also gives them the specialized training they may need to prepare for a job or career. For example, a person must meet certain educational requirements and obtain a license or certificate before he can practice law or medicine. Many fields, like computer operation or police work, (32) ________ satisfactory completion of special training courses. Education is also important (33) ________ it helps people get more out of life. It increases their knowledge and understanding of the world. It helps them acquire the skills that make life more interesting and enjoyable, such as the skills needed to participate in a sport, paint a picture, or play a musical instrument. Such education becomes (34) ________ important as people gain more and more leisure time. Education also helps people adjust to change. This habit has become necessary because social changes today take place with increasing speed and affect the lives of more and more people. Education can help a person understand these changes and provide him (35) ________ the skills for adjusting to them. 

Question 33: