Đồ thị của hàm số nào dưới đây có dạng như đường cong trong hình vẽ?
Đồ thị của hàm số nào dưới đây có dạng như đường cong trong hình vẽ?
Đồ thị của hàm số nào dưới đây có dạng như đường cong trong hình vẽ?
\(y=-{{x}^{4}}+2{{x}^{2}}-1\).
\(y=-{{x}^{3}}+3{{x}^{2}}-1\).
\(y={{x}^{4}}-2{{x}^{2}}-1\).
\(y={{x}^{3}}-3{{x}^{2}}-1\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Từ đồ thị ta thấy:
+ Đây là đồ thị của hàm bậc ba \(y=a{{x}^{3}}+b{{x}^{2}}+cx+d\) với \(a\ne 0\).
+ Nhánh cuối của đồ thị đi xuống, suy ra hệ số \(a<0\).
Đồ thị trên là đồ thị của hàm số \(y=-{{x}^{3}}+3{{x}^{2}}-1\).
Bộ Đề Kiểm Tra Giữa Học Kì I - Toán 12 - Cánh Diều là tài liệu học tập hữu ích giúp học sinh ôn tập và hệ thống lại kiến thức đã học. Với các dạng bài trắc nghiệm và tự luận phong phú, đề thi giúp học sinh rèn luyện khả năng tính toán, tư duy logic, đồng thời nâng cao kỹ năng giải quyết vấn đề một cách hiệu quả. Đây là công cụ hỗ trợ đắc lực để chuẩn bị cho các kỳ thi quan trọng.
Câu hỏi liên quan
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.
2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.
3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.
4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.
(37) The word embraced in paragraph 3 is OPPOSITE in meaning to __________.
Read the following passage and choose the correct option that best fits each of the numbered blanks.
Smart cities are designed to make life easier and more efficient for people. In a smart city, technology plays a big role in managing important services. (24) __________, there are systems that control traffic lights to reduce traffic jams and help people get to their destinations faster. Public transportation, like buses and trains, runs on time because it uses data to plan the best routes. Energy is also saved by using smart streetlights that turn on and off automatically. (25) __________ important feature of smart cities is their focus on the environment. Many smart cities use renewable energy sources, like solar and wind power, to reduce pollution. Additionally, smart homes allow people to control devices like lights and heaters through apps on their phones. All of these features work together to create a city (26) __________ is safer, cleaner, and more comfortable to live in. By integrating these technologies, smart cities aim to create safer, greener, and more comfortable living environments. More cities are adopting these solutions to (27) __________ the growing needs of their populations and improve living standards. (28) __________ cities are moving toward this model to improve the quality of life for their citizens.
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.
2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.
3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.
4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.
(39) According to the passage, San Francisco __________.
Read the following passage and choose the correct option that best fits each of the numbered blanks.
One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.
The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.
In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.
Read the following announcement and choose the correct option that best fits each of the numbered blanks.
Career Orientation Workshop Announcement
Dear Students,
We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.
Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!
Date: November 15th
Time: 9:00 AM - 11:00 AM
Location: School Auditorium
We look forward to seeing you there!
Read the following passage and choose the correct option that best fits each of the numbered blanks.
One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.
The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.
In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.
Read the following passage and choose the correct option that best fits each of the numbered blanks.
One of the most exciting careers today is that of a wildlife photographer. Wildlife photographers travel to remote locations to capture (18) __________. The job requires not only advanced photography skills but also a deep understanding of animal behavior and nature. (19) __________, as it often takes hours, or even days, to get the perfect shot of a rare species or an incredible natural moment.
The thrill of encountering animals in the wild, from lions in the savannah to penguins in the Antarctic, (20) __________. Wildlife photographers also play a crucial role in raising awareness about conservation. Through (21) __________, they bring the beauty and fragility of wildlife to the world's attention and (22) __________ endangered species and ecosystems.
In conclusion, wildlife photography allows individuals to explore remote landscapes, capture breathtaking moments, and (23) __________. Despite the challenges, such as difficult weather conditions and potential dangers from wildlife, the reward of capturing a breathtaking moment in nature is priceless. It's a profession for those who are not afraid to take risks and who love being in the great outdoors.
Read the following announcement and choose the correct option that best fits each of the numbered blanks.
Career Orientation Workshop Announcement
Dear Students,
We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.
Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!
Date: November 15th
Time: 9:00 AM - 11:00 AM
Location: School Auditorium
We look forward to seeing you there!
Nguồn năng lượng khởi đầu trong sinh giới là gì?
Choose the word whose underlined part differs from that of the other three in pronunciation in each of the following questions.
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.
2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.
3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.
4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.
5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.
(29) What does the passage mainly discuss?
Choose the correct arrangement of the sentences to make a meaningful paragraph/letter in each of the following questions.
a. I am confident that my friendly attitude and communication skills will help me perform well in this role.
b. Dear Sir/Madam, I am writing to apply for the part-time position as a shop assistant at your store.
c. I have previous experience working as a cashier at a local grocery store, where I assisted customers and maintained the store's organization.
d. I would appreciate the opportunity to discuss my application in person and am available for an interview any afternoon.
e. Yours faithfully,
f. Thank you for considering my application. I look forward to hearing from you soon.
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the idea of a six-hour workday has gained attention as a potential solution to modern work-life balance challenges. Sweden is one of the countries where this concept was tested, and the results have been eye-opening.
2. In 2015, a Swedish retirement home introduced a six-hour workday for its nurses. After the experiment, not only were the nurses happier and more energetic, but productivity also increased. The reduced working hours allowed employees to focus better during their shifts, leading to fewer mistakes and better care for patients. Moreover, absenteeism decreased, and employee satisfaction skyrocketed.
3. But how does a shorter workday improve productivity? Research suggests that the traditional eight-hour workday may lead to exhaustion, which causes workers to lose focus and make errors. By working fewer hours, they can maintain higher energy levels and complete tasks more efficiently. Studies from organizations like the OECD (Organisation for Economic Co-operation and Development) also show that countries with shorter average working hours, such as Germany and the Netherlands, have higher productivity rates compared to those with longer working hours.
4. Critics argue that a six-hour workday may not be suitable for all industries, and some businesses worry about potential cost increases. However, many proponents believe the long-term benefits, such as improved employee well-being and reduced burnout, outweigh these concerns.
5. As work-life balance becomes a priority in today's society, the six-hour workday could be a glimpse into the future of work, where employees are happier, healthier, and more productive.
(33) Why are Germany and the Netherlands mentioned in paragraph 3?
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.
2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.
3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.
4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.
(38) The word its in paragraph 3 refers to __________.
Read the following passage and choose the correct option that best fits each of the numbered blanks.
Smart cities are designed to make life easier and more efficient for people. In a smart city, technology plays a big role in managing important services. (24) __________, there are systems that control traffic lights to reduce traffic jams and help people get to their destinations faster. Public transportation, like buses and trains, runs on time because it uses data to plan the best routes. Energy is also saved by using smart streetlights that turn on and off automatically. (25) __________ important feature of smart cities is their focus on the environment. Many smart cities use renewable energy sources, like solar and wind power, to reduce pollution. Additionally, smart homes allow people to control devices like lights and heaters through apps on their phones. All of these features work together to create a city (26) __________ is safer, cleaner, and more comfortable to live in. By integrating these technologies, smart cities aim to create safer, greener, and more comfortable living environments. More cities are adopting these solutions to (27) __________ the growing needs of their populations and improve living standards. (28) __________ cities are moving toward this model to improve the quality of life for their citizens.
Read the following passage and choose the correct option that best fits each of the numbered blanks.
Smart cities are designed to make life easier and more efficient for people. In a smart city, technology plays a big role in managing important services. (24) __________, there are systems that control traffic lights to reduce traffic jams and help people get to their destinations faster. Public transportation, like buses and trains, runs on time because it uses data to plan the best routes. Energy is also saved by using smart streetlights that turn on and off automatically. (25) __________ important feature of smart cities is their focus on the environment. Many smart cities use renewable energy sources, like solar and wind power, to reduce pollution. Additionally, smart homes allow people to control devices like lights and heaters through apps on their phones. All of these features work together to create a city (26) __________ is safer, cleaner, and more comfortable to live in. By integrating these technologies, smart cities aim to create safer, greener, and more comfortable living environments. More cities are adopting these solutions to (27) __________ the growing needs of their populations and improve living standards. (28) __________ cities are moving toward this model to improve the quality of life for their citizens.
Choose the correct answer to fill in the blank in each of the following questions.
__________ pedestrian zones and bike lanes should be expanded to encourage eco-friendly transportation in big cities.
Read the following advertisement and choose the correct option that best fits each of the numbered blanks.
Discover the Charm of Hanoi's Old Quarter!
Step back in time and explore the vibrant, (10) __________ streets of Hanoi's Old Quarter. Our exclusive guided tour will take you through hidden alleys, bustling markets, and centuries-old architecture so you can (11) __________ the true heart of Vietnam's capital.
Tour Highlights:
✔ Explore 36 Ancient Streets: Learn the stories behind each street and its traditional craft.
✔ Taste Authentic Street Food: Enjoy delicious pho, bun cha, and other local favorites at famous food stalls.
✔ Cycle Rickshaw Ride: Enjoy (12) __________ peaceful rickshaw ride through the Old Quarter's most iconic spots.
Contact us: +84 123 45 678
Book now and dive into the soul of Hanoi!
Read the following passage and choose the correct answer to each of the questions.
1. In recent years, the concept of zero-waste cities has gained significant attention. The idea is simple but revolutionary. A zero-waste city aims to send no waste to landfills or incinerators. Instead, everything is reused, recycled, or composted. This approach not only reduces the amount of waste produced but also helps conserve natural resources and protect the environment.
2. One key element of a zero-waste city is the design of products that can either be reused or fully recycled. Manufacturers are encouraged to produce goods with fewer materials and create packaging that is easy to recycle. Additionally, citizens are motivated to change their consumption habits. People are encouraged to avoid disposable items and opt for reusable alternatives such as cloth bags, glass bottles, and metal containers. Cities also promote the use of shared economies, such as borrowing tools or second-hand markets, which help to reduce the demand for new products. Educational campaigns and community events have also been organized to ensure that everyone is informed about the importance of waste reduction.
3. San Francisco is an example of a city that has embraced this vision. Since launching its zero-waste initiative, it has successfully diverted over 80% of its waste from landfills. The city has implemented strict recycling and composting programs, and it has banned plastic bags and Styrofoam containers. Residents are actively engaged in the process by separating their waste into different categories, such as recyclables, organic waste, and general trash.
4. Zero-waste cities represent a new approach to urban living. They offer a solution to the growing problem of waste management. Although creating a zero-waste city is challenging, the benefits are undeniable. Reduced pollution, cleaner streets, and a more sustainable future make this concept an attractive goal for cities worldwide. As more cities adopt zero-waste policies, they pave the way for a cleaner, healthier planet.
(35) The word revolutionary in paragraph 1 is closest in meaning to __________.
Read the following announcement and choose the correct option that best fits each of the numbered blanks.
Career Orientation Workshop Announcement
Dear Students,
We are excited to announce that our school will be holding a Career Orientation Workshop on November 15th. This workshop aims (13) __________ you explore different career paths and gain valuable insights into the job market. Industry experts will be present to guide you through career opportunities, answer your questions, and provide advice on how to prepare (14) __________ your future career.
Don't miss this chance to discover your potential and (15) __________ clear goals for your future career!
Date: November 15th
Time: 9:00 AM - 11:00 AM
Location: School Auditorium
We look forward to seeing you there!
