Trong mặt phẳng \(Oxy\), đường thẳng \(\left( d \right):\,\,ax + by + c = 0,\,\,\,\left( {{a^2} + {b^2} \ne 0} \right)\). Vectơ nào sau đây là một vectơ pháp tuyến của đường thẳng \(\left( d \right)\)?
\(\overrightarrow n = \left( {a; - b} \right)\)
\(\overrightarrow n = \left( {b;a} \right)\)
\(\overrightarrow n = \left( {b; - a} \right)\)
\(\overrightarrow n = \left( {a;b} \right)\)
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Ta có một vectơ pháp tuyến của đường thẳng \(\left( d \right)\)là \(\overrightarrow n = \left( {a;b} \right)\).
Do đó chọn đáp án
D. \(\overrightarrow {{n_1}} = \left( { - a;b} \right).\)
Đáp án D.
Bộ Đề Kiểm Tra Giữa Học Kì II - Toán 10 - (Năm 2023 - 2024) - Các Trường THCS Trên Toàn Quốc được biên soạn nhằm giúp học sinh tiếp cận và làm quen với dạng câu hỏi trắc nghiệm thường gặp trong các bài kiểm tra. Tài liệu hỗ trợ rèn luyện khả năng tư duy và ứng dụng kiến thức vào giải quyết các vấn đề.
Câu hỏi liên quan
Cho tứ diện ABCD. Gọi M, N lần lượt là trung điểm của AB và AC, E là điểm trên cạnh CD sao cho ED = 3EC. Thiết diện tạo bởi mp(MNE) và tứ diện ABCD là:
Read the following passage about the cultural diversity 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 1 to 10.
[I] In today's globalized world, cultural diversity has become a fundamental aspect of many societies. [II] Many countries are experiencing increasing levels of migration. [III] With the rise of immigration and the blending of traditions, people from various cultural backgrounds are now living side by side in cities across the globe. [IV]
One of the key advantages of cultural diversity is the richness that it adds to a society. Different cultures introduce unique viewpoints, foods, languages, and traditions, which help people broaden their understanding of the world. In schools and workplaces, cultural diversity fosters creativity and innovation, as individuals from different backgrounds approach problems in innovative ways. However, there are also challenges associated with living in culturally diverse communities. Misunderstandings and communication barriers can arise when people are unfamiliar with each other's customs and values. To address these issues, societies must encourage cultural sensitivity and create opportunities for cross-cultural exchange.
Governments and institutions around the world are beginning to implement policies that promote inclusion and respect for cultural differences. By celebrating diversity through events, education, and media representation, communities can create environments where people feel valued regardless of their background. Ultimately, embracing cultural diversity helps to build more peaceful and harmonious societies.
Which of the following can be inferred from the passage?
Một sơ đồ các lối đi một chiều theo chiều mũi tên để đi từ địa điểm A tới địa điểm H được minh hoạ bởi hình sau.
Chẳng hạn, có 2 đường để đi từ A tới B, có 3 đường để đi từ C tới D.
Theo sơ đồ đã cho, số cách để đi từ A tới H là:
Read the following passage about powering 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.
As we continue to face the impacts of climate change, having a green environment has become increasingly important to the future of our society. To achieve this, the world is shifting towards green energy, and two particular types of energy at the centre of this movement are solar power and wind power.
[I] Solar power is all about harnessing the energy of the sun by using solar panels to convert sunlight into usable electricity. [II]. Moreover, solar panels are perfect for installation on a small scale, such as in private homes, since they require very little maintenance and have a long lifespan. [III] However, the ability to generate solar power depends on the time of day and weather conditions. This means that solar panels are often less useful if they are installed in places where sunny weather is not typical. [IV]
Wind power, on the other hand, involves converting the energy of the wind into electricity using large turbines. Wind power doesn’t produce any greenhouse gases, but it is not ideal for private use since turbines require consistent care. However, wind farms can be installed on a large scale and are able to produce electricity continuously regardless of the time of day. This means that if there were more investments in wind power, it could be a viable way to provide energy for major cities and even for whole regions.
Wind and solar power contribute significantly to a green environment by reducing our reliance on fossil fuels, helping us cut down on pollution and slow climate change. Additionally, using renewable energy sources helps promote spending on sustainable development by creating new career opportunities in the green energy sector.
For now, the biggest challenge of adopting green energy is the costs associated with installation and infrastructure, but the benefits unquestionably outweigh the downsides. If we want to stop the climate crisis and create a better and more sustainable future, green energy sources will undoubtedly be the key.
Which of the following can be inferred from the passage?
Nước ta nằm trong vùng nội chí tuyến bán cầu Bắc nên có
Thường trực Hội đồng nhân dân có cơ cấu tổ chức bao gồm những ai?
Từ năm 1960 đến năm 1973, kinh tế Nhật Bản có biểu hiện nào sau đây?
Chọn một từ/ cụm từ mà nghĩa của nó KHÔNG cùng nhóm với các từ/ cụm từ còn lại.
CHỦ ĐỀ 3
(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 43)
https://tvsthpt.dlib.vn/app/doc-sach-ebook/d0a01a0e4114
Và trả lời câu hỏi sau:
Chọn số vào vị trí phù hợp:
Theo mô hình vỏ hạt nhân, hạt nhân sẽ có dạng hình cầu nếu có số proton và số neutron trong hai lớp vỏ đầu tiên tương ửng bằng các giá trị nào sau đây?
• Số proton: (…a…).
• Số neutron: (…b…).
Thiên hoàng Minh Trị tiến hành cải cách trong hoàn cảnh nào?
- Hình bên là đồ thị sự thay đổi nhiệt độ của vật rắn kết tinh khi được làm nóng chảy. Trong khoảng thời gian từ \({t_{\rm{a}}}\) đến \({t_{\rm{b}}}\) thì
Địa danh nào không phải là đô thị của nước ta trong các thế kỉ XVI- XVIII?
Khi đun nóng các enzim trên một nhiệt độ nhất định, chúng trải qua quá trình nào?
Hãy cho biết. Hai tụ điện chứa cùng một lượng điện tích thì
Nội dung nào sau đây là ngành luật chính trong hệ thống pháp luật Việt Nam?
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?
Trong mặt phẳng \(Oxy\), đường tròn đi qua ba điểm \(A\left( {1;2} \right)\), \(B\left( {5;2} \right)\), \(C\left( {1; - 3} \right)\) có phương trình 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.
Which of the following best paraphrases the underlined sentence in paragraph 4?
Cho hàm số \(f\left( x \right) = {x^3} + 2{x^2} + 1\) có đồ thị là (C). Phương trình tiếp tuyến của (C) tại điểm có hoành độ \(x = 1\) là?
Nội dung nào sao đây không phản ánh đúng vai trò của lịch sử - văn hóa đối với du lịch?