Gọi M, N là giao điểm của đường thẳng và đường cong . Khi đó hoành độ trung điểm I của đoạn thẳng MN bằng:         

Chia sẻ

Một số câu hỏi khác cùng bài thi.

• Cho hàm số . Gọi d là đường thẳng đi qua điểm A(1; 0) và có hệ số góc k. Tìm k để d cắt (C) tại hai điểm phân biệt M, N thuộc hai nhánh khác nhau của (C) sao cho           

• Số nguyên dương m nhỏ nhất để đường thẳng cắt đồ thị hàm số  tại hai điểm phân biệt là:            

• Đường thẳng  cắt đồ thị hàm số  tại hai điểm phân biệt khi;

• Tìm tất cả các giá trị của tham số  để đường thẳng cắt đồ thị của hàm số  tại ba điểm phân biệt , , phân biệt sao cho .  

• Tìm tất cả các giá trị thực của tham số  để đường thẳng  cắt đồ thị của hàm số  tại ba điểm phân biệt  sao cho .  

• Cho biết đồ thị của hàm số  cắt đường thẳng  tại hai điểm phân biệt. Gọi I là trung điểm của đoạn . Tìm giá trị của  để  nằm trên trục hoành.  

• Đồ thị hàm số  có 2 điểm cực trị là   và   . Với các giá trị nào của  thì đồ thị hàm số cắt đường thẳng  tại 3 điểm phân biệt?         

• Cho hàm số  có đồ thị là (Cm) (m là tham số). Cho đường thẳng (d):  và điểm K(1; 3). Tìm các giá trị của m để (d) cắt (Cm) tại ba điểm phân biệt A(0; 4), B, C sao cho tam giác KBC có diện tích bằng .         

• Số nguyên dương m nhỏ nhất để đường thẳng cắt đồ thị hàm số  tại hai điểm phân biệt là:            

• Phương trình tiếp tuyến của đồ thị hàm số tại điểm là:

• [1D3-4. 8-2] Cho phương trình $x^2-3x+a=0$ có hai nghiệm $x_1,x_2$ và phương trình $x^2-12x+b=0$ có hai nghiệm $x_3,x_4$ . Gỉa sử rằng $x_1,x_2,x_3,x_4$ theo thứ tự lập thành cấp số nhân với công bội lớn hơn 1. Giá trị của a + b là
  

• Có bao nhiêu giá trị của tham số  để đường thẳng cắt đồ thị của hàm số tại hai điểm A, B sao cho tam giác OAB vuông tại gốc tọa độ O.

• Giá trị của m để đường thẳng cắt đồ thị hàm số  tại hai điểm M, N sao cho tam giác AMN vuông tại điểm là:         

• Cho hàm số  và . Có bao nhiêu giá trị nguyên  để hai đồ thị của hai hàm số trên cắt nhau tại ba điểm phân biệt        

• Cho hàm số có đồ thị . Tìm m để đồ thị cắt trục hoành tại một điểm duy nhất.

• Cho hàm số có đồ thị . Tìm tất cả giá trị thực của tham số để tiếp tuyến của đồ thị tại điểm có hoành độ song song với đường thẳng .         

• Cho hàm số và đường thẳng . Điều kiện cần và đủ để đồ thị của hai hàm số đã cho cắt nhau tại 2 điểm A, B phân biệt, đồng thời điểm trung điểm của đoạn thẳng AB có hoành độ bằng là:         

• Với giá trị nào của m thì đồ thị hàm số cắt trục hoành tại 4 điểm phân biệt?                 

• Cho hàm số . Hàm số  có đồ thì như hình vẽ bên. Tập nghiệm của phương trình  có số phần tử là     

• Tìm tất cả các giá trị thực của a và b sao cho đồ thị của hàm số và đường thẳng giao nhau tại hai điểm phân biệt, đối xứng nhau qua đường thẳng .

• Cho hàm số Tiếp tuyến của đồ thị hàm số có hệ số góc nhỏ nhất có phương trình là  

• Đồ thị của hàm số  và đồ thị của hàm số  có tất cả bao nhiêu điểm chung?

• Cho hàm số . Viết phương trình đường thẳng d cắt đồ thị (C) tại 3 điểm phân biệt A, B, C sao cho  và .         

• Cho hàm số  . Đồ thị hàm số đã cho cắt đường thẳng tại hai điểm phân biệt , . Khi đó bằng:  

• Cho đồ thị hàm số  cắt trục hoành tại 3 điểm phân biệt hoành độ . Tính giá trị của biểu thức .  

• Cho hàm số  có đồ thị là (C). Gọi  là đường thẳng đi qua điểm  với hệ số góc . Tìm  để đường thẳng  cắt đồ thị (C) tại ba điểm phân biệt A, B, C và 2 giao điểm B, C cùng với gốc toạ độ O tạo thành một tam giác có diện tích bằng 1.  

• Đường thẳng  luôn cắt đồ thị  tại hai điểm P và Q. Để độ dài đoạn PQ ngắn nhất, giá trị của m là:                                     

• Tìm số giao điểm n của đồ thị hàm số và đường thẳng .

• Cho hàm số có đồ thị (C). Tìm số nguyên dương nhỏ nhất m để đồ thị (C) cắt trục hoành tại ba điểm phân biệt.           

• Tìm tất cả tất cả các giá trị đề đường thẳng cắt đồ thị hàm số tại 4 điểm phân biệt.

• Cho hàm số y = (C). Tìm m để đường thẳng d: y = –x + m + 1 cắt (C) tại hai điểm phân biệt A, B sao cho góc  nhọn.         

• Gọi S là tập hợp tất cả các giá trị thực của tham số m để đồ thị hàm số cắt đường thẳng tại hai điểm phân biệt A, B sao cho tam giác IAB có diện tích bằng 3, với . Tính tổng tất cả các phần tử của S.

• Cho hàm số: y = (C) và điểm A(0; a). Tìm a để từ A kẻ được 2 tiếp tuyến tới đồ thị (C) sao cho 2 tiếp điểm tương ứng nằm về 2 phía của trục hoành.         

• Tìm tập hợp tất cả các giá trị của tham số thực sao cho phương trình có đúng hai nghiệm thực phân biệt.

• Tìm tất cả các giá trị để đường thẳng  không cắt đồ thị hàm số             

• Cho hàm số . Viết phương trình tiếp tuyến của (C) đi qua điểm   .         

• Gọi M, N là giao điểm của đường thẳng và đường cong . Khi đó hoành độ trung điểm I của đoạn thẳng MN bằng:         

• Cho và đường thẳng. Khi d cắt tại hai điểm phân biệt và tiếp tuyến với tại hai điểm này song song với nhau thì:               

• Cho hàm số có đồ thị là . Parabol cắt đồ thị tại bốn điểm phân biệt. Tổng bình phương các hoành độ giao điểm của và bằng  

• Tìm để đường thẳng cắt đồ thị hàm số tại hai điểm phân biệt.  

Một số câu hỏi khác có thể bạn quan tâm.

• 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 32 to 36:

  School exams are, generally speaking, the first kind of tests we take. They find out (32) _____ much knowledge we have gained. But do they really show how intelligent we are? After all, isn’t it a fact that some people who are very successful academically don’t have any common sense? Intelligence is the speed at which we can understand and react to new situations and it is usually tested by logic puzzles. (33) _____ scientists are now preparing advanced computer technology that will be able to “read” our brains, for the present, tests are still the most popular ways of measuring intelligence. A person’s IQ is their intelligence (34) _____is measured by a special test. The most common IQ tests are run by Mensa, an organization that was founded in England in 1946. By 1976 it had 1,300 members in Britain. Today there are 44,000 Britain and 100,000 worldwide, (35) _____ in the US. People talking the tests are judged in relation to an average score of 100, and those (36) _____ score over 148 are entitled to join Mensa. This works out at 2% of the population. Anyone from the age of six can take the tests. All the questions are straightforward and most people can answer them if allowed enough time. But that’s the problem – the whole point of the tests is that they’re against the clock.

  Question 33:

• 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 32 to 36:

  School exams are, generally speaking, the first kind of tests we take. They find out (32) _____ much knowledge we have gained. But do they really show how intelligent we are? After all, isn’t it a fact that some people who are very successful academically don’t have any common sense? Intelligence is the speed at which we can understand and react to new situations and it is usually tested by logic puzzles. (33) _____ scientists are now preparing advanced computer technology that will be able to “read” our brains, for the present, tests are still the most popular ways of measuring intelligence. A person’s IQ is their intelligence (34) _____is measured by a special test. The most common IQ tests are run by Mensa, an organization that was founded in England in 1946. By 1976 it had 1,300 members in Britain. Today there are 44,000 Britain and 100,000 worldwide, (35) _____ in the US. People talking the tests are judged in relation to an average score of 100, and those (36) _____ score over 148 are entitled to join Mensa. This works out at 2% of the population. Anyone from the age of six can take the tests. All the questions are straightforward and most people can answer them if allowed enough time. But that’s the problem – the whole point of the tests is that they’re against the clock.

  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 fits each of the numbered blanks from 31 to 35:

  Education is more important today than ever before. It gives them the specialized training they may need to (31)_______ 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 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:

  Education is more important today than ever before. It gives them the specialized training they may need to (31)_______ 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 fits each of the numbered blanks from 32 to 36:

  School exams are, generally speaking, the first kind of tests we take. They find out (32) _____ much knowledge we have gained. But do they really show how intelligent we are? After all, isn’t it a fact that some people who are very successful academically don’t have any common sense? Intelligence is the speed at which we can understand and react to new situations and it is usually tested by logic puzzles. (33) _____ scientists are now preparing advanced computer technology that will be able to “read” our brains, for the present, tests are still the most popular ways of measuring intelligence. A person’s IQ is their intelligence (34) _____is measured by a special test. The most common IQ tests are run by Mensa, an organization that was founded in England in 1946. By 1976 it had 1,300 members in Britain. Today there are 44,000 Britain and 100,000 worldwide, (35) _____ in the US. People talking the tests are judged in relation to an average score of 100, and those (36) _____ score over 148 are entitled to join Mensa. This works out at 2% of the population. Anyone from the age of six can take the tests. All the questions are straightforward and most people can answer them if allowed enough time. But that’s the problem – the whole point of the tests is that they’re against the clock.

  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:

  Education is more important today than ever before. It gives them the specialized training they may need to (31)_______ 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 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 fits each of the numbered blanks from 32 to 36:

  School exams are, generally speaking, the first kind of tests we take. They find out (32) _____ much knowledge we have gained. But do they really show how intelligent we are? After all, isn’t it a fact that some people who are very successful academically don’t have any common sense? Intelligence is the speed at which we can understand and react to new situations and it is usually tested by logic puzzles. (33) _____ scientists are now preparing advanced computer technology that will be able to “read” our brains, for the present, tests are still the most popular ways of measuring intelligence. A person’s IQ is their intelligence (34) _____is measured by a special test. The most common IQ tests are run by Mensa, an organization that was founded in England in 1946. By 1976 it had 1,300 members in Britain. Today there are 44,000 Britain and 100,000 worldwide, (35) _____ in the US. People talking the tests are judged in relation to an average score of 100, and those (36) _____ score over 148 are entitled to join Mensa. This works out at 2% of the population. Anyone from the age of six can take the tests. All the questions are straightforward and most people can answer them if allowed enough time. But that’s the problem – the whole point of the tests is that they’re against the clock.

  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:

  Education is more important today than ever before. It gives them the specialized training they may need to (31)_______ 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 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:

  Education is more important today than ever before. It gives them the specialized training they may need to (31)_______ 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: 

• 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 24 to 28:

  Few people now realize the reality of global warming and its effects on the world’s climate. Many scientists (24) _______ the blame for recent natural disasters on the increase in the world’s temperatures and are convinced that, more than ever before, the Earth is at (25) _______ from the forces of the wind, rain and sun. According to them, global warming is making extreme weather events, such as hurricanes and droughts, even more severe and causing sea levels all around the world to rise. Environmental groups are putting pressure on governments to take action to reduce the amount of carbon dioxide which is given (26) _______ by factories and power plants, thus attacking the problem at its source. They are in (27) _______ of more money being spent on research into solar, wind, and wave energy devices, which could then replace existing power (28) _______. Some scientists, however, believe that even if we stopped releasing carbon dioxide and other gases into the atmosphere tomorrow, we would have to wait several hundred years to notice the results. Global warming, it seems, is to stay.

  Question 25: