Cho hàm số \(y=f(x)\) có bảng xét dấu đạo hàm sau. Mệnh đề nào sau đây đúng?
\(\underset{\left( 0;+\infty \right)}{\mathop{\max }}\,f(x)=f(1)\).
\(\underset{\left( 0;+\infty \right)}{\mathop{\max }}\,f(x)=f(-1)\).
\(\underset{\left( 0;+\infty \right)}{\mathop{\max }}\,f(x)=f(0)\).
\(\underset{\left( 0;+\infty \right)}{\mathop{\max }}\,f(x)=f(0)\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Dựa vào bảng xét dấu của đạo hàm ta có trong khoảng \(\left( 0;+\infty \right)\) hàm số có duy nhất một điểm cực trị và điểm đó là điểm cực đại của hàm số.
Vậy trong khoảng \(\left( 0;+\infty \right)\) hàm số đạt giá trị lớn nhất tại \(x=1\) hay \(\underset{\left( 0;+\infty \right)}{\mathop{\max }}\,f(x)=f(1)\).
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 mark the letter A, B, C, or D to indicate the correct word or phrase that best fits each the numbered blanks from 31 to 35.
“One month on since the devastating earthquake hit Türkiye and Syria, the scale of the humanitarian response has yet to meet the enormous needs of displaced Syrian families and children (31)_____have suffered from compounded crises for almost 12 years now,” said Johan Mooij, director of World Vision’s Syria crisis response. “It is crucial that (32)_____ access channels to northwest Syria remain open, and that aid deliveries are scaled up through earmarked funding for the emergency response. Only this will ensure that children’s mental health needs are covered, and their trauma addressed.”
Snow and bitter winter weather have placed children at great risk of hypothermia (33)_____ they struggle to survive in sub-zero temperatures. Many survivors have had to sleep in cars, outside, or in makeshift shelters. Doctors (34)_____ that children are also at risk of exposure to waterborne diseases such as cholera or Hepatitis A due to the damage to shelters and water infrastructure.
These children are now even more vulnerable to family separation, exploitation, and abuse. As buildings are deemed unsafe, they also are unable to return to school.
“In northern Syria, in particular, the threats to children from abuse were already extreme. The soaring poverty, within a warzone, now devastated by earthquakes, has created an unimaginable number of challenges, and suffering for children,” says Johan, director of the Syria crisis response in Amman, Jordan. “This earthquake has created the perfect environment for a health crisis -fueled by reduced healthcare capacity and disease (35)_____.”
Tìm tất cả các giá trị của tham số \(m\) để bất phương trình \(x^{2}-(m+2) x+8 m+1 \leq 0\) vô nghiệm.
Trong không gian Oxyz, cho đường thẳng \(d:\left\{ \begin{array}{*{35}{l}} x=2-t \\ y=1+2t \\ z=3t \\\end{array} \right.\) và các điểm \(A(-1;2;3)\); \(B(0;1;2)\). Mặt phẳng \((P)\) chứa đường thẳng \(d\) và song song \(AB\) có phương trình là:
Read the following passage about the impact of social media on mental health and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] In recent years, social media platforms have become a central part of daily life, offering users countless ways to connect, share, and communicate. [II] While these platforms offer many advantages, experts have noted rising concerns about their effects on mental health, particularly among young people (Smith & Anderson, 2018). [III] Studies reveal that excessive social media use can contribute to feelings of anxiety, depression, and loneliness, despite its intention to promote connection and social interaction (Twenge & Campbell, 2019). [IV]
A primary reason for these mental health concerns is the tendency for social media users to compare themselves to others. Platforms like Instagram and Facebook often highlight idealized lifestyles, leading users to feel inadequate about their own lives. Additionally, the constant notifications and messages contribute to a "fear of missing out," or FOMO, which keeps individuals in a cycle of checking their phones, often reducing the quality of sleep and overall well-being.
There is also a growing body of research suggesting a link between social media use and decreased attention spans. When users frequently switch between apps and notifications, their ability to focus for extended periods may diminish (Rosen, 2019). This shift in attention can interfere with productivity, especially in academic and professional settings, where sustained focus is essential.
Addressing these challenges requires a multi-faceted approach. Some mental health professionals suggest limiting screen time and setting boundaries, such as "device-free" hours before bedtime. Others recommend engaging in offline activities, like reading or exercising, to reduce dependence on social media and build healthier habits. According to psychologists, such strategies can enhance mental resilience and allow for more meaningful, balanced relationships (Robinson & Smith, 2020).
Which of the following can be inferred from the passage?
Đọc đoạn trích sau và trả lời câu hỏi:
Thuở nhỏ tôi ra cống Na câu cá
níu váy bà đi chợ Bình Lâm
bắt chim sẻ ở vành tai tượng Phật
và đôi khi ăn trộm nhãn chùa Trần.
(Đò Lèn, Nguyễn Duy)
Xác định phương thức biểu đạt chính được sử dụng trong đoạn thơ trên.
Một vật được thả rơi tự do từ độ cao 19,6 m xuống đất. Bỏ qua lực cản của không khí. Lấy gia tốc rơi tự do g = 9,8 m/s2. Vận tốc của vật trước khi chạm đất bằng
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
A New Capital
When Pakistan was established as a new state in 1947, Karachi initially served as its capital. However, maintaining Karachi as the capital proved to be a challenge due to several disadvantages, such as its climate and the condition of the existing infrastructure. Rather than attempting to improve these issues, the government opted to create a completely new capital city. In 1959, a commission was formed to explore potential locations for this new capital. Dr. Doxiadis, a renowned architect and city planner, was appointed as the chief advisor to the commission.
Dr. Doxiadis and his team explored several possible sites for the new capital, considering both geographical and environmental factors. After a thorough evaluation, they narrowed the options down to two locations: one just outside Karachi and the other located north of Rawalpindi. Both sites had their own sets of advantages and drawbacks, making the decision a complex one.
The final choice was made after carefully considering a range of factors such as transportation, water availability, economic implications, and national interests. Ultimately, the area north of Rawalpindi was selected. On February 24, 1960, the new capital city was named Islamabad, and a comprehensive master plan for its development was created. The plan divided the area into three distinct sections: Islamabad itself, neighboring Rawalpindi, and a national park.
Each section was designed to serve a specific purpose. (I) Islamabad would function as the country’s political and cultural center, meeting the administrative needs of the nation. (II) Rawalpindi, located nearby, would continue as the regional hub for industry and commerce. (III) The national park area was intended to provide space for education, recreation, and agriculture, enhancing the quality of life for residents. (IV)
Today, Islamabad is a vibrant city with a population of around 1 million people. Known for its clean and healthy environment, it offers a pollution-free atmosphere, abundant water resources, and ample green spaces. Tree-lined streets, elegant public buildings, and well-planned shopping centers make the city a model of successful urban planning. With its efficient design and flourishing urban life, Islamabad stands as a prime example of well-executed city planning and growth.
Which of the following is NOT a factor considered when choosing the new capital city?
Cho hình tứ diện ABCD có AB, BC, CD đôi một vuông góc. Điểm cách đều bốn điểm A, B, C, D là:
Tập hợp nào sau đây có đúng một tập hợp con?
Liên minh Viễn thông Quốc tế viết tắt là gì?
Ngành công nghiệp nào chiếm phần lớn trị giá xuất khẩu của Hoa Kì?
Cơ quan quyền lực nhà nước ở địa phương, đại diện cho ý chí, nguyện vọng và quyền làm chủ của nhân dân được gọi là gì?
Cơ cấu tổ chức bộ máy nhà nước Việt Nam bao gồm tất cả mấy cơ quan chính?
Vì sao phương thức chăn thả tự do vẫn còn khá phổ biến ở các vùng nông thôn ở nước ta?
Hộp số ô tô có:
Theo quy định pháp luật, công dân có thể thực hiện quyền khiếu nại của mình khi nhận:
Tài chính ngân hàng không bao gồm hoạt động nào sau đây?
Ý nào dưới đây nói là về thuế trực thu?
Data privacy means ensuring that our personal information is kept safe and used responsibly by others. In today’s digital world, where information spreads easily, it’s more important than ever to protect our personal data. This highlights the importance of privacy laws.
Laws about data privacy vary globally. For example, in Europe, the General Data Protection Regulation (GDPR) grants individuals rights such as accessing their data, asking for it to be deleted, and knowing how it’s used. Similarly, the California Consumer Privacy Act (CCPA) provides specific rights about personal information to people in California. Knowing these laws helps people understand their rights and what companies must do to keep their data safe. When using websites or apps, it’s essential to read their privacy policies. Emily Davis, a cybersecurity expert, stresses, “Reading and understanding privacy policies allows individuals to make informed decisions about sharing their personal information.”.
To boost your online safety, experts suggest using strong, unique passwords for each account and not reusing them. Enabling two-factor authentication when possible adds an extra layer of security. Equally important, be careful with emails, texts, or calls asking for personal information or money. Scammers often pretend to be real organizations. Always check before giving out personal details or clicking on links from unknown sources. Keep your devices updated with the latest software and security patches to protect against cyber threats. Using trusted antivirus software can also lower the risk of attacks. Privacy advocate Michelle Carter advises, “Being mindful of data sharing and regularly reviewing app permissions helps minimize unnecessary exposure of personal information.”.
Understanding your rights and taking steps to protect your personal information online are essential in today’s interconnected world. By learning about privacy laws, being careful about sharing information, and using strong security measures, you can control your digital presence and keep your privacy safe. Remember, protecting personal data is something we all need to do together to create a safer and more respectful online environment.
What is paragraph 3 mainly about?
Read the following passage about human life expectancy and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.
Milu was born in a small village in the north of India, and never had the chance of going to school, because her family needed her to work. So she grew up never having learned to read or write. She was a little sad about it, but she didn't let it upset her too much, and tried to think about other things.
She went through life, never being able to do what she wanted, because she felt that if she couldn't read, then she was somehow less than everybody else. This meant that she didn't make many friends and didn't go out much. She thought people would think she was stupid, and she didn't want them to laugh at her.
When she was fifty-six, she got a job cleaning a school and when she had finished her work, she used to sit and watch the little kids do their lessons. She didn't realise that one of the teachers watched her while she watched the kids, and one day, as she was about to leave, the teacher asked her to sit in the class. The kids thought it was very funny, but the teacher patiently started Milu on her first lesson to learn to read.
That was a few years ago, and now Milu can read and write as well as any of the other kids. She still cleans the school because she likes her job, but she doesn't feel less than everybody else anymore. The teacher, who is now her friend, sometimes gives her a book to read and she learns about people living in other parts of the world.
She has a granddaughter who studies at the same school, and sometimes she helps her with her homework. Being able to do that makes her feel so happy that when she stays alone she has a little cry. When she was in her little village as a child, she would never have dreamt that one day she would be able to help her granddaughter with her homework. She owes gratitude to her teacher friend for the gift she was given.
Which of the following is NOT what Milu gains from learning?