Nghiệm của phương trình \(\text{sin}x+\text{cos}x=\sqrt{2}\) là
\(x=-\frac{\pi }{4}+k2\pi \), \(k\in \mathbb{Z}\).
\(x=\frac{\pi }{2}+k2\pi \), \(k\in \mathbb{Z}\).
\(x=\frac{\pi }{4}+k2\pi \), \(k\in \mathbb{Z}\).
\(x=\frac{\pi }{4}+k\pi \), \(k\in \mathbb{Z}\).
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
\(\text{sin}x+\text{cos}x=\sqrt{2}\Leftrightarrow \text{sin}\left( x+\frac{\pi }{4} \right)=1\)
\(\Leftrightarrow x+\frac{\pi }{4}=\frac{\pi }{2}+k2\pi \Leftrightarrow x=\frac{\pi }{4}+k2\pi ,\,k\in \mathbb{Z}\).
Bộ Đề Kiểm Tra Giữa Học Kì I - Toán 11 - Cánh Diều là tài liệu hỗ trợ đắc lực cho học sinh trong quá trình ôn tập, giúp các em củng cố và nắm chắc kiến thức cốt lõi của môn Toán lớp 11. Đề thi bao gồm nhiều dạng câu hỏi đa dạng, từ cơ bản đến nâng cao, được thiết kế bám sát chương trình học, giúp học sinh phát triển tư duy phân tích và kỹ năng giải quyết bài toán hiệu quả. Đây là tài liệu không thể thiếu để các em chuẩn bị tốt nhất cho kỳ thi và tự tin chinh phục mọi thử thách.
Câu hỏi liên quan
Read the following advertisement about a new travel platform and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 1 to 6.
FAQ ON FINDING TRAVEL BUDDY
What is the concept of finding a travel buddy at Join My Trip?
You can find a travel buddy by joining trips hosted by (1) ________, whom we call Trip Leaders. The trips are (2) ________ handpicked and curated, offering you the best experience you can't find anywhere else. The Trip Leaders will be (3) ________ charge of these trips, from designing the itinerary (4) ________ the way. Furthermore, Trip Leaders will accept travelers, (5) ________ Trip Mates, on their trips and travel together. So, by joining our trips, you can be (6) ________ with other amazing travelers from all over the world.
Read the following passage about urban shift and mark the letter A, B, C, D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Sperm whales are fascinating creatures. [II] They possess the biggest brain of any species, six times larger than a human’s, which scientists believe may have evolved to support intelligent, rational behavior. [III] They’re also highly social and capable of making decisions as a group. [IV] But there’s also a lot we don’t know about them, including what they may be saying to one another when communicating with a system of short clicks, known as codas.
Now, new research published in Nature Communications today suggests that sperm whales’ communication is actually much more expressive and complicated than was previously thought. A team of researchers led by Pratyusha Sharma at MIT’s Computer Science and Artificial Intelligence Lab (CSAIL) working with Project CETI, a nonprofit focused on using AI to understand whales, used statistical models to analyze whale codas and managed to identify a structure to their language that’s similar to features of human language. Their findings represent a tool future researchers could use to decipher not just the structure but the actual meaning of whale sounds.
For the study, the researchers examined recordings of 8,719 codas from around 60 whales collected by the Dominica Sperm Whale Project between 2005 and 2018, using a mix of AI algorithms for pattern recognition and classification. The AI then turned the clicks within the coda data into a new kind of data visualization called an exchange plot, revealing that some codas featured extra clicks. These extra clicks, combined with variations in the duration of their calls, appeared in interactions between multiple whales, which they say suggests that codas can carry more information and possess a more complicated internal structure than we had previously believed.
The team’s next step is to build language models of whale calls and to examine how those calls relate to different behaviors. They also plan to work on a more universal system that could be used across species, says Sharma. Taking a communication system we know nothing about, working out how it encodes and transmits information, and slowly beginning to understand what’s being communicated could have many purposes beyond whales. “I think we’re just starting to understand some of these things,” she says. “We’re very much at the beginning, but we are slowly making our way through.”
Which of the following best summarises paragraph 2?
Hình ảnh dưới đây là hoạt động học sinh khối 11 tham quan thực tế tại nhà máy sản xuất phân bón.
Hoạt động trên tương ứng với phương pháp học tập hóa học nào?
Phát biểu nào dưới đây đúng?
Read the following passage about education in Nepal 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.
An education pioneer born into rural poverty in Nepal has opened 30 schools in a bid to boost prospects for his country's children.
The World Bank ranks Nepal as the globe's 31st poorest country, with almost 10 million people living on daily incomes between £1.48 and £2.50. Many rural villages remain unreached by government schooling and adult literacy stood at just 60 per cent in 2011.
Surya Karki and his charity United World Schools Nepal (UWS) are tackling high illiteracy and poverty rates by funding and improving education.
The first school opened in 2015 – since then 92 per cent of children have completed primary education, which finishes at age eight, and continued into secondary education with UWS schools. In comparison to 39 per cent of students continuing education who attended government schools.
Mr Karki was born into poverty in rural Nepal. Speaking to the Telegraph he said: “School is the only solution to the poverty cycle that we live in. I was raised by a single mother in a male-dominated society.
“The school that I went to was approximately two hours walk away. My house was on top of a hill and my mother had to drag me across rivers. We used to walk 10 miles a day. The schooling was really bad.”
Of the students who would go to school, he said: “They would end up in the same place, as cheap migrant workers in Qatar, Saudi, or Dubai. There was no value in education – no success stories.”
[A] Karki’s mother was a firm believer in education, and at age eight Karki secured a scholarship to study in the capital, Kathmandu. [B] From there he won scholarships and completed Masters degrees in China and the United States. [C] Karki said. “Inequalities in a country can only be decreased if there is access to knowledge.” [D]
The devastating earthquake in 2015 damaged 9,300 schools, displacing hundreds of thousands of families and pushing 700,000 people into poverty. As of January 2018, only 2,891 schools had been rebuilt. Karki said: “We came at a crucial time, where we could redo or undo what had been done badly. Education was really bad in terms of infrastructure, quality of teachers, training. It was an opportunity for us to really make things better.”
UWS Nepal has so far built 30 schools and has seven more in construction. The schools run between 10 am and 3:30 pm, and have an 86 per cent average attendance rate, which Karki says is almost double the attendance rates for government schools in the vicinity. Sexual health classes are taught to the children in the later years.
Which of the following expresses the essential information in the underlined sentence in paragraph 8?
Mark the letter A, B, C, or D on your answer sheet to indicate the sentence(s) that best complete(s) each of the following exchanges.
Mom: “It’s time to get up”
Son: “__________________”
Hàm range(101, 1, -1) sẽ tạo ra?
Cơ năng là một đại lượng
Xác định một từ/ cụm từ SAI về ngữ pháp hoặc ngữ nghĩa, logic, phong cách.
Giọng người có lẽ là một nhạc cụ cổ xưa nhất và đa dạng nhất mà chúng ta từng biết. Nhạc cụ đặc biệt này có thể dành cho cả nói và hát. Nhưng trong hàng thế kỷ, câu hỏi tại sao con người lại hát, tạo ra những thứ âm thanh quyến rũ, cuốn hút hoặc kinh khủng, chói tai, vẫn là ẩn số với các nhà khoa học.
Tìm số gần đúng của \(a=5,2463\) với độ chính xác \(d=0,001\).
Vì sao thực dân Pháp chú trọng xây dựng hệ thống giao thông trong cuộc khai thác thuộc địa lần thứ nhất?
Hình tượng nhân vật Huấn Cao được tác giả Nguyễn Tuân lấy nguyên mẫu từ nhân vật lịch sử nào sau đây?
Read the following passage about a multicultural world 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 today’s interconnected world, multiculturalism has become increasingly prevalent as people from diverse cultural backgrounds live and work together in the same communities. [II] Multiculturalism fosters cultural diversity, promoting understanding and tolerance among individuals with different perspectives and traditions (Banks, 2015). [III] However, while multiculturalism brings many benefits, it also poses certain challenges that need to be addressed to achieve a harmonious society (Parekh, 2000). [IV]
One of the key benefits of multiculturalism is the enrichment of society through diverse perspectives. Different cultural backgrounds contribute unique ideas, art forms, and traditions, which can lead to a more vibrant and innovative community. For instance, diverse viewpoints in the workplace often drive creativity and lead to better problem-solving solutions. Additionally, exposure to various cultures can increase people's awareness and acceptance of others, thus reducing discrimination and promoting social cohesion.
However, a multicultural society is not without its challenges. Language barriers, for example, can hinder communication and understanding among individuals. Miscommunication due to language differences can lead to misunderstandings or even conflicts. Furthermore, people may feel divided by their cultural identities, which can create a sense of "us versus them." Some argue that without efforts to bridge cultural differences, multiculturalism might unintentionally lead to social fragmentation (Modood, 2007).
To foster a successful multicultural society, it is essential to promote inclusive policies and encourage intercultural dialogue. Schools and workplaces can play a significant role by celebrating diversity and teaching cultural understanding. When people actively engage with different cultures, they are more likely to find common ground and develop mutual respect, which helps create a stronger, more unified community (Berry, 2011).
Which of the following best paraphrases the underlined sentence in paragraph 4?
Các giá trị m làm cho biểu thức \(f(x) = x^2 + 4x + m + 3\) luôn dương là
Read the following passage about lifelong learning 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] Lifelong learning is the ongoing, voluntary, and self-motivated pursuit of knowledge for personal or professional development (Knowles, 2020). [II] This concept emphasizes that learning does not stop after formal education, but rather continues throughout an individual's life, adapting to changing circumstances and needs. [III] In today’s fast-paced world, where technology and job markets evolve rapidly, lifelong learning has become increasingly essential. [IV]
One of the primary benefits of lifelong learning is its ability to enhance employability. Individuals who engage in continuous education are more likely to keep their skills relevant and competitive in the job market. According to a report by the World Economic Forum (2021), over 50% of employees will need reskilling due to technological advancements in the coming years. Lifelong learners are better equipped to adapt to these changes, making them more attractive candidates for employers.
Moreover, lifelong learning contributes to personal fulfillment and mental well-being. Engaging in new learning experiences can stimulate the brain, foster creativity, and improve cognitive function. Research indicates that individuals who pursue learning opportunities throughout their lives tend to report higher levels of happiness and life satisfaction (Smith & Johnson, 2019). Whether it is taking a course, learning a new language, or picking up a new hobby, the process of acquiring knowledge can be enriching and enjoyable.
In addition, lifelong learning promotes social engagement and community involvement. Participating in educational programs or community workshops can foster connections with others who share similar interests. This social aspect of learning can enhance one's sense of belonging and support networks, which are crucial for mental health (Jones, 2022).
Overall, lifelong learning is not just an individual responsibility; it requires support from educational institutions, employers, and communities to create an environment conducive to continuous education. By fostering a culture of learning, society can better prepare individuals for the challenges of the future and ensure that everyone has the opportunity to thrive.
(Adapted from The Importance of Lifelong Learning by Knowles, Smith, Johnson, and others)
Which of the following best paraphrases the underlined sentence in paragraph 4?
chọn đúng hoặc sai với mỗi ý a), b), c), d)
Hình bên biểu diễn một thanh dẫn điện MN trượt trên hai thanh kim loại theo chiều vuông góc với cảm ứng từ. Biết \(B = 0,40\;{\rm{T}},{\rm{MN}} = {\rm{PQ}} = 0,20\;{\rm{m}}.\) Thanh MN đang chuyển động về bên trái với vận tốc có độ lớn \(0,2\;{\rm{m}}/{\rm{s}}\) và có hướng vuông góc với nó. Toàn bộ mạch có điện trở \(2,0\Omega .\) Các thanh kim loại không nhiễm từ, bỏ qua ma sát.
a. Jamie: I agree. We should turn off lights and the TV when we leave a room.
b. Chris: My dad says we should also unplug things we're not using.
c. Chris: We should be more careful about how we use power.
d. Jamie: Every little bit of energy we save helps the planet.
e. Chris: I think we use too much electricity and energy in our house.
Giải phẫu mặt cắt ngang thân sinh trưởng thứ cấp theo thứ tự từ ngoài vào trong thân như thế nào?
CHỦ ĐỀ: GIẢI NOBEL HÓA HỌC 2020
(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 21)
https://tvsthpt.dlib.vn/app/doc-sach-ebook/d00ddd794efd
Và trả lời câu hỏi sau:
Chọn các cụm từ và thả vào vị trí thích hợp:
Theo bài đọc, công nghệ CRISPR/Cas9 có cơ chế hoạt động khác nhau khi được áp đụng để chữa trị các bệnh lý khác nhau.
- Cơ chế khái quát hóa-phân tich cấu trúc phân tử ADN: (...a...)
- Cơ chế loại bỏ-thế chổ một số tế bào: (...b...)
- Cơ chế điều chỉnh-sử dụng lại một vài yếu tố di truyền nhất định: (...c...)
Cho tam giác có độ dài ba cạnh lần lượt là \(1\), \(2\), \(\sqrt{5}\). Độ dài đường cao ứng với cạnh lớn nhất bằng