Có bao nhiêu giá trị nguyên của tham số m để phương trình có đúng 3 nghiệm thực
Có bao nhiêu giá trị thực của tham số \[m\] để phương trình \[m{.3^{{x^2} - 3x + 2}} + {3^{4 - {x^2}}} = {3^{6 - 3x}} + m\] có đúng \[3\] nghiệm thực phân biệt.
Phương pháp giải
- Biến đổi phương trình về dạng tích tìm $3^{{x^2} - 3x + 2} $ và $3^{4 - {x^2}}$
- Giải từng phương trình và tìm điều kiện để tổng số nghiệm của hai phương trình bằng $3$
Phương trình
có 3 nghiệm phân biệt với m:
Chọn: Đáp án C
YCBT
Vậy đáp án đúng là C.
Câu hỏi thuộc đề thi sau. Bạn có muốn thi thử?
Bài tập trắc nghiệm 60 phút Điều kiện nghiệm của phương trình, bất phương trình - Toán Học 12 - Đề số 8
Chia sẻ
Một số câu hỏi khác cùng bài thi.
-
Tìm tất cả các giá trị của m để phương trình:
có nghiệm. -
Phương trình
có bốn nghiệm phân biệt khi: -
Cho hàm số
liên tục trên đoạnvà có đồ thị như hình bên. Số nghiệm thực của phương trìnhtrên đoạnlà: -
Cho hàm số
liên tục trênvà có đồ thị như hình vẽ bên. Số nghiệm thực của phương trìnhtrên đoạnlà -
Tất cả giá trị của
để phương trìnhcó hai nghiệm thực phân biệt. -
Cho hàmsố
xácđịnh, liêntụctrênvàcóbảngbiếnthiênnhưsau:Tìmsốnghiệmthựccủaphươngtrình. -
Tìm tất cả các giá trị thực của tham số m sao cho phương trình
có hai nghiệm thực phân biệt. -
Cho phương trình
. Tập S là tập hợp các giá trị của m nguyên để phương trình có ba nghiệm phân biệt. Tính tổng các phần tử của S -
Cho phương trình
Có bao nhiêu giá trị nguyên của tham sốthộc đoạnđể phương trình trên có đúng một nghiệm thuộc? -
Tìm m để phương trình
có 3 nghiệm. -
Cho hàm số
. Có bảng biến thiên như sau:Bất phương trìnhcó nghiệm trên khoảngkhi chỉ khi. -
Có bao nhiêu giá trị nguyên của tham số
để phương trìnhcó đúng một nghiệm thuộc. -
Cho hàm số
có bảng biến thiên như hình bên.Số nghiệm của phương trìnhlà -
Cho hàm số
, [với]. Hàm sốcó đồ thị như hình vẽ bên dưới:Tập nghiệm của phương trìnhcó số phần tử là: -
Cho hàm số
. Đồ thị hàmnhư hình vẽCho bất phương trình, vớilà tham số thực. Điều kiện cần và đủ để bất phương trìnhđúng vớilà ? -
Tìm m để phương trình
có đúng hai nghiệm: -
Xét các số thực với
sao cho phương trìnhcó ít nhất hai nghiệm thực. Giá trị lớn nhất của biểu thứcbằng: -
Đồ thị dưới đây là đồ thị của hàm số
.Với giá trị nào của m thì phương trìnhcó hai nghiệm phân biệt? -
Số các giá trị nguyên của tham số
để phương trìnhcó nghiệm là ? -
Cho hàm sốliên tục trên đoạnvà cóđồ thị làđường cong như hình vẽ bên. Tìm số nghiệm của phương trìnhtrên đoạn
-
Giá trị của m để phương trình
có 4 nghiệm phân biệt là: -
Phương trình
có 3 nghiệm phân biệt với m: -
Số các giá trị nguyên của tham số
để phương trìnhcó nghiệm là ? -
Cho hàmsố
cóđồthịnhưhìnhvẽbên. Sốđiểmcựctrịcủahàmsốnàylà -
Cho hàm số
có đồ thị như hình bên. Tìm tất cả các giá trị thực của tham sốđể phương trìnhcó bốn nghiệm thực phân biệt. -
: Cho hàm sốcó đồ thị như hình vẽ. Tìm tất cả các giá trị của tham số m để phương trìnhcó 4 nghiệm phân biệt.
-
Cho hàm số
liên tục trênvà có đồ thị như hình bên. Phương trìnhcó đúng ba nghiệm phân biệt thuộc đoạnkhi và chỉ khi -
Phươngtrình
[vớilà tham số thực] có tối đa bao nhiêu nghiệm thực? -
Cho hàm số
có đạo hàm trênvàvà. Khẳng định nào sau đây đúng? -
Cho hàm số
có đồ thị như hình bên. Tìm tất cả các giá trị thực của tham sốđể phương trìnhcó bốn nghiệm thực phân biệt. -
Cho đồthịhàmsố
nhưbìnhbên. Hỏiphươngtrìnhcóhainghiệmphânbiệtkhi m nhậngiátrịbằngbaonhiêu? -
Tìm
để đường thẳngcắt đồ thị hàm sốtại hai điểm phân biệt. -
Cho hàm số
liên tục trên các khoảngvà, có bảng biến thiên như sau Tìmđể phương trìnhcónghiệm phân biệt. -
Cho hàm số
liên tục trên đoạnvà có đồ thị như hình vẽ bên. Số nghiệm thực của phương trìnhtrên đoạnlà -
Cho hàm số
có đồ thị là đường cong trong hình bên.Hỏi phương trìnhcó bao nhiêu nghiệm thực dương phân biệt? -
Cho hàmsốcó đồ thị nhưhìnhvẽ bên. Tìmtất cả cácgiá trị của m để phươngtrìnhcó hainghiệmthựcphânbiệt?
-
Có bao nhiêu giá trị nguyên của tham số
để phương trìnhcó nghiệm thực -
Cho hàm số
. Đồ thị hàm sốnhư hình vẽCho bất phương trình, [là tham số thực]. Điều kiện cần và đủ để bất phương trìnhđúng với mọi x thuộc đoạnlà -
Tìm tập hợp tất cả các giá trị của tham số thực
sao cho phương trìnhcó đúng hai nghiệm thực phân biệt. -
Phương trình
có 3 nghiệm phân biệt khi:
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 answer to each of the questions:
A Japanese construction company plans to create a huge independent city-state, akin to the legendary Atlantis, in the middle of the Pacific Ocean. The city, dubbed “Marinnation”, would have about one million inhabitants, two airports, and possibly even a space port. Marinnation, if built, would be a separate country but could serve as a home for international organisations such as the United Nations and the World Bank.
Aside from the many political and social problems that would have to be solved, the engineering task envisaged is monumental. The initial stage requires the building of a circular dam eighteen miles in diameter attached to the sea bed in a relatively shallow place in international waters. Then, several hundred powerful pumps, operating for more than a year, would suck out the sea water from within the dam. When empty and dry, the area would have a city constructed on it. The actual land would be about 300 feet below the sea level. According to designers, the hardest task from an engineering point of view would be to ensure that the dam is leak proof and earthquake proof.
If all goes well, it is hoped that Marinnation could be ready for habitation at the end of the second decade of the twenty-first century. Whether anyone would want to live in such an isolated and artificial community, however, will remain an open question until that time.
Question 44: The word "akin" in paragraph 1 could be best replaced by __________.
-
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:
A Japanese construction company plans to create a huge independent city-state, akin to the legendary Atlantis, in the middle of the Pacific Ocean. The city, dubbed “Marinnation”, would have about one million inhabitants, two airports, and possibly even a space port. Marinnation, if built, would be a separate country but could serve as a home for international organisations such as the United Nations and the World Bank.
Aside from the many political and social problems that would have to be solved, the engineering task envisaged is monumental. The initial stage requires the building of a circular dam eighteen miles in diameter attached to the sea bed in a relatively shallow place in international waters. Then, several hundred powerful pumps, operating for more than a year, would suck out the sea water from within the dam. When empty and dry, the area would have a city constructed on it. The actual land would be about 300 feet below the sea level. According to designers, the hardest task from an engineering point of view would be to ensure that the dam is leak proof and earthquake proof.
If all goes well, it is hoped that Marinnation could be ready for habitation at the end of the second decade of the twenty-first century. Whether anyone would want to live in such an isolated and artificial community, however, will remain an open question until that time.
Question: Which of the following would NOT be a problem for the construction plan?
-
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:
A Japanese construction company plans to create a huge independent city-state, akin to the legendary Atlantis, in the middle of the Pacific Ocean. The city, dubbed “Marinnation”, would have about one million inhabitants, two airports, and possibly even a space port. Marinnation, if built, would be a separate country but could serve as a home for international organisations such as the United Nations and the World Bank.
Aside from the many political and social problems that would have to be solved, the engineering task envisaged is monumental. The initial stage requires the building of a circular dam eighteen miles in diameter attached to the sea bed in a relatively shallow place in international waters. Then, several hundred powerful pumps, operating for more than a year, would suck out the sea water from within the dam. When empty and dry, the area would have a city constructed on it. The actual land would be about 300 feet below the sea level. According to designers, the hardest task from an engineering point of view would be to ensure that the dam is leak proof and earthquake proof.
If all goes well, it is hoped that Marinnation could be ready for habitation at the end of the second decade of the twenty-first century. Whether anyone would want to live in such an isolated and artificial community, however, will remain an open question until that time.
Question: Which of the following is NOT true according to the text?
-
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the correct answers:
It takes a long time to raise a family of owlets, so the great horned owl begins early in the year. In January and February, or as late as March in the North, the male calls to the female with aresonant hoot. The female is larger than the male. She sometimes reaches a body length of twenty-two to twenty-four inches, with a wingspread up to fifty inches. To impress her, the male does a strange courtship dance. He bobs. He bows. He ruffles his feathers and hops around with an important air. He flutters from limb to limb and makes flying sorties into the air. Sometimes he returns with an offering of food. They share the repast, after which she joins the dance, hopping and bobbing about as though keeping time to the beat of an inner drum.
Owls are poor home builders. They prefer to nest in a large hollow in a tree or even to occupy the deserted nest of a hawk or crow. These structures are large and rough, built of sticks and bark and lined with leaves and feathers. Sometimes owls nest on a rocky ledge, or even on the bare ground. even to occupy the deserted nest of a hawk or crow. These structures are large and rough, built of sticks and bark and lined with leaves and feathers. Sometimes owls nest on a rocky ledge, or even on the bare ground. The mother lays two or three round, dull white eggs. Then she stoically settles herself on the nest and spreads her feather skirts about her to protect herprecious chargesfrom snow and cold.
It is five weeks before the first downy white owlet pecks its way out of the shell. As the young birds feather out, they look like wise old men with their wide eyes and quizzical expressions.Theyclamor for food and keep the parents busy supplying mice, squirrels, rabbits, crayfish, and beetles. Later in the season baby crows are taken. Migrating songsters, waterfowl, and game birds all fall prey to the hungry family. It is nearly ten weeks before fledglings leave the nest to search for their own food. The parent birdsweary offamily life by November and drive the young owls away to establish hunting ranges of their own.
Question: The phrase "weary of" is closest in meaningto
-
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 below:
In the world today, particularly in the two most industrialized areas, North America and Europe recycling is big news. People are talking about it, practicing it, and discovering new ways to be sensitive to the environment. Recycling means finding ways to use products a second time. The motto of the recycling movement is “Reduce, Reuse, Recycle”.
The first step is to reduce garbage. In stores, a shopper has to buy products in blister packs boxes and expensive plastic wrappings. A hamburger from a fast food restaurant comes in lots of packaging: usually paper, a box, and a bag. All that packaging is wasted resources. People should try to buy things that are wrapped simply, and to reuse cups and utensils. Another way to reduce waste is to buy high-quality products. When low quality appliances break, many customers throw them away and buy new ones-a loss of more resources and more energy. For example, if a customer buys a high-quality appliance that can be easily repaired, the manufacturer receives an important message. In the same way, if a customer chooses a product with less packaging, that customer sends an important message to the manufacturers. To reduce garbage, the throwaway must stop.
The second step is to reuse. It is better to buy juices and soft drinks in returnable bottles. After customers empty the bottles, they return them to the store. The manufacturers of the drinks collect the bottles, wash them and then fill them again. The energy that is necessary to make new bottles is saved. In some parts of the world returning bottles for money is a common practice. In those places, the garbage dumps have relatively little glass and plastic from throwaway bottles.
The third step is being environmentally sensitive is to recycle. Spent motor oil can be cleaned and used again. Aluminum cans are expensive to make. It takes the same amount of energy to make one aluminum can as it does to run a color TV set for three hours. When people collect and recycle aluminum [for new cans], they help save one of the world’s precious resources.
Question 39: People can do the following to reduce waste EXCEPT _______.
-
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 below:
In the world today, particularly in the two most industrialized areas, North America and Europe recycling is big news. People are talking about it, practicing it, and discovering new ways to be sensitive to the environment. Recycling means finding ways to use products a second time. The motto of the recycling movement is “Reduce, Reuse, Recycle”.
The first step is to reduce garbage. In stores, a shopper has to buy products in blister packs boxes and expensive plastic wrappings. A hamburger from a fast food restaurant comes in lots of packaging: usually paper, a box, and a bag. All that packaging is wasted resources. People should try to buy things that are wrapped simply, and to reuse cups and utensils. Another way to reduce waste is to buy high-quality products. When low quality appliances break, many customers throw them away and buy new ones-a loss of more resources and more energy. For example, if a customer buys a high-quality appliance that can be easily repaired, the manufacturer receives an important message. In the same way, if a customer chooses a product with less packaging, that customer sends an important message to the manufacturers. To reduce garbage, the throwaway must stop.
The second step is to reuse. It is better to buy juices and soft drinks in returnable bottles. After customers empty the bottles, they return them to the store. The manufacturers of the drinks collect the bottles, wash them and then fill them again. The energy that is necessary to make new bottles is saved. In some parts of the world returning bottles for money is a common practice. In those places, the garbage dumps have relatively little glass and plastic from throwaway bottles.
The third step is being environmentally sensitive is to recycle. Spent motor oil can be cleaned and used again. Aluminum cans are expensive to make. It takes the same amount of energy to make one aluminum can as it does to run a color TV set for three hours. When people collect and recycle aluminum [for new cans], they help save one of the world’s precious resources.
Question 40: The word “motto” in paragraph 1 is closest in meaning to _______.
-
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 below:
In the world today, particularly in the two most industrialized areas, North America and Europe recycling is big news. People are talking about it, practicing it, and discovering new ways to be sensitive to the environment. Recycling means finding ways to use products a second time. The motto of the recycling movement is “Reduce, Reuse, Recycle”.
The first step is to reduce garbage. In stores, a shopper has to buy products in blister packs boxes and expensive plastic wrappings. A hamburger from a fast food restaurant comes in lots of packaging: usually paper, a box, and a bag. All that packaging is wasted resources. People should try to buy things that are wrapped simply, and to reuse cups and utensils. Another way to reduce waste is to buy high-quality products. When low quality appliances break, many customers throw them away and buy new ones-a loss of more resources and more energy. For example, if a customer buys a high-quality appliance that can be easily repaired, the manufacturer receives an important message. In the same way, if a customer chooses a product with less packaging, that customer sends an important message to the manufacturers. To reduce garbage, the throwaway must stop.
The second step is to reuse. It is better to buy juices and soft drinks in returnable bottles. After customers empty the bottles, they return them to the store. The manufacturers of the drinks collect the bottles, wash them and then fill them again. The energy that is necessary to make new bottles is saved. In some parts of the world returning bottles for money is a common practice. In those places, the garbage dumps have relatively little glass and plastic from throwaway bottles.
The third step is being environmentally sensitive is to recycle. Spent motor oil can be cleaned and used again. Aluminum cans are expensive to make. It takes the same amount of energy to make one aluminum can as it does to run a color TV set for three hours. When people collect and recycle aluminum [for new cans], they help save one of the world’s precious resources.
Question 41: What best describes the process of reuse?
-
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 below:
In the world today, particularly in the two most industrialized areas, North America and Europe recycling is big news. People are talking about it, practicing it, and discovering new ways to be sensitive to the environment. Recycling means finding ways to use products a second time. The motto of the recycling movement is “Reduce, Reuse, Recycle”.
The first step is to reduce garbage. In stores, a shopper has to buy products in blister packs boxes and expensive plastic wrappings. A hamburger from a fast food restaurant comes in lots of packaging: usually paper, a box, and a bag. All that packaging is wasted resources. People should try to buy things that are wrapped simply, and to reuse cups and utensils. Another way to reduce waste is to buy high-quality products. When low quality appliances break, many customers throw them away and buy new ones-a loss of more resources and more energy. For example, if a customer buys a high-quality appliance that can be easily repaired, the manufacturer receives an important message. In the same way, if a customer chooses a product with less packaging, that customer sends an important message to the manufacturers. To reduce garbage, the throwaway must stop.
The second step is to reuse. It is better to buy juices and soft drinks in returnable bottles. After customers empty the bottles, they return them to the store. The manufacturers of the drinks collect the bottles, wash them and then fill them again. The energy that is necessary to make new bottles is saved. In some parts of the world returning bottles for money is a common practice. In those places, the garbage dumps have relatively little glass and plastic from throwaway bottles.
The third step is being environmentally sensitive is to recycle. Spent motor oil can be cleaned and used again. Aluminum cans are expensive to make. It takes the same amount of energy to make one aluminum can as it does to run a color TV set for three hours. When people collect and recycle aluminum [for new cans], they help save one of the world’s precious resources.
Question 42: The garbage dumps in some areas have relatively little glass and plastic because _______
-
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 below:
Family life in the United States is changing. Fifty or sixty years ago, the wife was called a “housewife”. She cleaned, cooked, and cared for the children. The husband earned the money for the family. He was usually out working all day. He came home tired in the evening, so he did not do much housework. And he did not see the children very much, except on weekends.
These days, however, more and more women work outside the home. They cannot stay with the children all day. They, too, come home tired in the evening. They do not want to spend the evening cooking dinner and cleaning up. They do not have time to clean the house and do the laundry. So who is going to do the housework now? Who is going to take care of the children?
Many families solve the problem of housework by sharing it. In these families, the husband and wife agree to do different jobs around the house, or they take turns doing each job. For example, the husband always cooks dinner and the wife always does the laundry. Or the wife cooks dinner on some nights and the husband cooks dinner on other nights.
Then there is the question of the children. In the past, many families got help with child care from grandparents. Now families usually do not live near their relatives. The grandparents are often too far away to help in a regular way. More often, parents have to pay for child care help. The help may be a babysitter or a day-care center. The problem witht his kind of help is the high cost. It is possible only for couples with jobs that pay well.
Parents may get another kind of help form the companies they work for. Many companies now let people with children work part-time. That way, parents can spend more time with their children. Some husbands may even stop working for a while to stay with the children. For these men there is a new word: they are called “househusbands”. In the USA more and more men are becoming househusbands every year.
These changes in the home mean changes in the family. Fathers can learn to understand their children better, and the children can get to know their fathers better. Husbands and wives may also find changes in their marriage. They, too, may have a better understanding of each other.
Question 36: Sixty years ago, most women ____________
-
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 below:
Family life in the United States is changing. Fifty or sixty years ago, the wife was called a “housewife”. She cleaned, cooked, and cared for the children. The husband earned the money for the family. He was usually out working all day. He came home tired in the evening, so he did not do much housework. And he did not see the children very much, except on weekends.
These days, however, more and more women work outside the home. They cannot stay with the children all day. They, too, come home tired in the evening. They do not want to spend the evening cooking dinner and cleaning up. They do not have time to clean the house and do the laundry. So who is going to do the housework now? Who is going to take care of the children?
Many families solve the problem of housework by sharing it. In these families, the husband and wife agree to do different jobs around the house, or they take turns doing each job. For example, the husband always cooks dinner and the wife always does the laundry. Or the wife cooks dinner on some nights and the husband cooks dinner on other nights.
Then there is the question of the children. In the past, many families got help with child care from grandparents. Now families usually do not live near their relatives. The grandparents are often too far away to help in a regular way. More often, parents have to pay for child care help. The help may be a babysitter or a day-care center. The problem witht his kind of help is the high cost. It is possible only for couples with jobs that pay well.
Parents may get another kind of help form the companies they work for. Many companies now let people with children work part-time. That way, parents can spend more time with their children. Some husbands may even stop working for a while to stay with the children. For these men there is a new word: they are called “househusbands”. In the USA more and more men are becoming househusbands every year.
These changes in the home mean changes in the family. Fathers can learn to understand their children better, and the children can get to know their fathers better. Husbands and wives may also find changes in their marriage. They, too, may have a better understanding of each other.
Question39: It can be inferred from paragraph 4 that__________.
Có bao nhiêu giá trị nguyên của tham số m∈[-...
A. 4038
B. 2019
C. 2017
D. 4039
Đáp án
- Hướng dẫn giải
Câu hỏi trên thuộc đề trắc nghiệm
5 Đề thi thử thpt quốc gia môn Toán cực hay có lời giải chi tiết !!