GTNN của \(F(x;y) = x - 3y\), với điều kiện \(\left\{ \begin{matrix} x\ge 0 \\ 0\le y\le 5 \\ x+y-2\ge 0 \\ 3x-y\le 6 \\ \end{matrix} \right.\)?
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Xét hệ bất phương trình \(\left\{ \begin{array}{l}x \ge 0\\0 \le y \le 5\\x + y - 2 \ge 0\\3x - y \le 6\end{array} \right.\)
Biểu diễn miền nghiệm của hệ, ta được:
Miền nghiệm là miền tứ giác ABCD trong đó \(A\left( {0;2} \right),{\rm{ }}B\left( {0;5} \right),{\rm{ }}C\left( {\frac{{11}}{3};5} \right),D(2;0)\)
Thay tọa độ các điểm A, B, C, D vào \(F(x;y) = x - 3y\) ta được
\(F(0;2) = 0 - 3.2 = - 6\)
\(F(0;5) = 0 - 3.5 = - 15\)
\(F\left( {\frac{{11}}{3};5} \right) = \frac{{11}}{3} - 3.5 = - \frac{{34}}{3}\)
\(F(2;0) = 2 - 3.0 = 2\)
Vậy giá trị nhỏ nhất của F bằng -15.
Chọn D.
Bộ Đề Kiểm Tra Giữa Học Kì I - Toán 10 - (Năm 2023 - 2024) - Các Trường THPT Trên Toàn Quốc là tài liệu giúp học sinh hệ thống lại các kiến thức đã học thông qua các câu hỏi ngắn gọn và súc tích. Các bài tập được thiết kế phù hợp với nhiều đối tượng học sinh, từ cơ bản đến nâng cao.
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The True Cost of Convenience: Facts That Will Change Your Habits
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The (9)_________ caused by single-use items affects our oceans and wildlife. (10)_________ their convenience, plastic straws harm marine animals.
The waste from our daily (11)_________ can take hundreds of years to decompose. A (12)_________ of people don't realize the impact of their daily choices on the environment.
Make small changes today for a better tomorrow! Choose reusable bags, bottles, and containers. Together, we can make a difference!
Cần lưu ý điều gì khi trích dẫn nguyên văn? (Chọn hai đáp án)
Tọa độ giao điểm của \(\left( P \right)\,:\,y = {x^2} - 4x\) với đường thẳng \(d\,:\,y = - x - 2\) là?
Đổi đơn vị dung lượng sau: 1B = ? Bit
Chọn một từ mà nghĩa của nó KHÔNG cùng nhóm với các từ còn lại?
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Mệnh đề phủ định của mệnh đề: “ Số 6 chia hết cho 2 và 3” là
Thư viện math cung cấp?
Điểm mới nào sau đây thể hiện sự phát triển của thương nghiệp ở nước ta từ thế kỉ XVI – XVIII?
Nội dung nào sau đây là đặc điểm của văn bản quy phạm pháp luật?
Read the following passage about Healthy Benefits of Yoga 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.
Yoga is a healthy lifestyle. One of the benefits of yoga is that you can choose a yoga style that is suitable for your lifestyle, such as hot yoga, power yoga, relaxation yoga, etc. If you are a yoga beginner, Hatha Yoga, which focuses on basic postures at a comfortable pace, would be great for you. If you want to increase strength through using more of your own body’s resistance, Power Yoga may be right for you. Whether you prefer you're at home, in a private session, watching a DVD or at a studio or gym, there are a huge variety of options available to suit your goals and needs.
Improved flexibility is one of the first and most obvious benefits of yoga. During your first class, you probably won’t be able to touch your toes. But if you stick with it, you’ll notice a gradual loosening, and eventually, seemingly impossible poses will become possible. Each of the yoga poses is built to reinforce the muscles around the spine, the very center of your body, which is the core from which everything else operates.
When the core is working properly, posture is improved, thus alleviating back, shoulder, and neck pain. Strong muscles do more than look good. They also protect us from conditions like arthritis and back pain, and help prevent falls in elderly people. And when you build strength through yoga, you balance it with flexibility. If you just went to the gym and lifted weights, you might build strength at the expense of flexibility.
Yoga gets your blood flowing. More specifically, the relaxation exercises you learn in yoga can help your circulation, especially in your hands and feet. Yoga also gets more oxygen to your cells, which function better as a result. Twisting poses are thought to wring out venous blood from internal organs and allow oxygenated blood to flow in once the twist is released. Many studies found that a consistent yoga practice improved depression and led to greater levels of happiness and better immune function.
In which paragraph does the author describe the types of yoga suitable for different goals?
Sản phẩm chăn nuôi nào dưới đây không được dùng làm thực phẩm.
Read the following passage about the Koromi trend 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]. If you’ve done any traveling at all, you’re likely quite aware that customs and etiquette differ from one culture to another: what may be perfectly innocuous in one place may be hideously offensive in another, and vice-versa. [II]. Granted, even if you haven’t traveled at all, you’re probably aware of the fact that certain types of behavior aren’t exactly acceptable in other countries: belching at the table may be a sign of gratitude in some places, but in most areas of North America and Europe, such a display will earn you a fair bit of ire. [III]. Whether you plan on traveling to any of the places listed below or just doing business with a foreign client, it’s important to educate yourself on the standards of politesse and etiquette beforehand-the last thing you want to do is offend someone with any ignorant, boorish behavior. [IV]. Here’s how to be polite in different countries.
When dealing with Japanese clients, be sure to dress fairly conservatively, and make sure that you bow lower than they do upon meeting them. Accept gifts with both hands and open them later, not in front of the giver, and never blow your nose at the dining table. Avoid asking and answering direct questions: it’s better to imply rather than ask, and to answer with vagueness during conversations.
In Kenya, when greeting someone older or of a higher status than yourself, grip their right wrist with your left hand while shaking it; it’s a sign of respect and deference. Do ask questions about their health, family, business etc. before getting to major topics, as skipping these niceties is seen as impolite. If sharing meals, do not begin eating until the eldest male has been served and starts to eat.
Turning down an alcoholic drink is considered terribly offensive in Russia, so it’s a good idea to fortify yourself with some greasy food before heading out for a meal with Russian or Ukrainian clients. Don’t smile at strangers or they’ll think you’re deranged, and when paying for items, place your money on the counter rather than trying to hand it directly to the cashier.
The word "they" in paragraph II refers to ____.
Read the following passage about Building Understanding Across Nations 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.
In our interconnected world, cultural ambassadors play a vital role in bridging the gaps between different nations and peoples. These dedicated individuals and groups serve as links between cultures, fostering mutual understanding and respect through various activities and programs. Their mission is to showcase their own cultural heritage while learning about and appreciating others, creating pathways for meaningful dialogue and lasting connections across borders.
Cultural ambassadors employ numerous methods to achieve their goals. They organize traditional festivals and art exhibitions that display unique customs, allowing visitors to experience different cultures firsthand. Language exchange programs enable people to communicate more effectively, while cultural workshops teach traditional crafts, music, and dance. These ambassadors also utilize digital platforms to reach wider audiences, sharing stories and traditions through social media and online events that connect people from different corners of the world.
Despite their important work, cultural ambassadors face several challenges in their mission. Stereotypes and prejudices can create barriers to understanding, while language differences sometimes lead to misunderstandings. Limited resources and funding may restrict their activities, and political tensions between nations can complicate their efforts. However, these dedicated individuals persist in their work, believing that personal connections and shared experiences can overcome these obstacles and promote harmony among different communities.
Looking ahead, the role of cultural ambassadors becomes increasingly significant in our global society. Their efforts to build bridges between nations contribute to reducing conflicts and fostering peace. Through their continued dedication to promoting cross-cultural understanding, these ambassadors help create a more inclusive and connected world where differences are celebrated rather than feared. This ongoing process of cultural exchange remains essential for building a future based on mutual respect and cooperation.
In which paragraph does the writer mention what challenges cultural ambassadors face in their work?
Nguyên nhân chủ yếu nào đã làm cho tốc độ phát triển kinh tế không đều, đầu tư nước ngoài giảm mạnh ở Mỹ Latinh?
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Tiện ích nào bên dưới của Windows để quản lý tệp và thư mục?