Cho tứ diện \(ABCD\) có độ dài các cạnh bằng \(2a\). Gọi \(M,\,N\) lần lượt là trung điểm các cạnh \(AC\), \(BC\); \(P\) là trọng tâm tam giác \(BCD\). Mặt phẳng \(\left( MNP \right)\) cắt tứ diện theo một thiết diện có diện tích là \(\frac{{{a}^{2}}\sqrt{b}}{c}\). Khi đó hiệu \(b-c\) bằng bao nhiêu?

CHỦ ĐỀ 2

(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 39)

https://tvsthpt.dlib.vn/app/doc-sach-ebook/d0a01a0e4114

Và trả lời câu hỏi sau:

Chọn từ trong ngoặc phù hợp điền vào ô trống:

Khi điện phân dung dịch NaCl, thì ion \(Na^{+}}\) sẽ di chuyển về cực (âm, dương) (…a…) hay còn gọi là (catot, anot) (…b…). Còn ion \(Cl^{-}}\) sẽ di chuyển về cực (âm, dương) (…c…) hay còn gọi là (catot, anot) (…d…).

Vị trí (d) là ________.

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer to each of the questions from 29 to 33.

International Women’s Day, celebrated on March 8th, is a time to honor women’s progress and advocate for real change towards gender equality. This day, rooted in a 1908 demonstration where 15,000 women in New York City stood united for equal rights, better pay, shorter hours, and voting rights, has grown into a worldwide movement. Clara Zetkin, at a meeting in 1910, suggested a special day each year to focus on women’s rights, leading to the first International Women’s Day in 1911.

Despite some beliefs that women have equal chances as men, the reality often tells a different story. Girls worldwide face more household duties than boys and are more likely to miss out on school. In many countries, equal education for both genders is not guaranteed, and many girls are married off young, which can force them to end school early, lead to early pregnancy together with other health issues, and increase the chance of domestic violence.

On International Women’s Day, people participate in activities that raise awareness and call for gender equality. Wearing purple, a color of women’s rights history, is common. It is also a day when women are celebrated with gifts and social recognition in some places.

The journey towards full gender equality continues to face challenges. Yet, women’s groups across the globe remain strong and active, with younger women and teenagers adding their voices and energy to the cause. They are organizing, speaking out, and urging a shift in how we view and act towards each other regarding gender roles.

(Adapted from https://learnenglishteens.britishcouncil.org/)

What would be the best title for the passage?

Nội dung nào sau đây là một trong những vai trò của công tác bảo tồn và phát huy giá trị di sản thiên nhiên?

Households are advised to replace current lightbulbs with more_________ ones.

Read the following passage about endangered languages and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questionsfrom 31 to 40.

[I] Social media has become a dominant force in modern communication, offering a range of benefits and challenges. [II] It has revolutionized the way people interact, share information, and even form relationships. [III] While these platforms offer opportunities for connection and expression, they also have their drawbacks. [IV] For instance, excessive use of social media has been linked to a range of negative effects, including mental health issues, social isolation, and decreased productivity. [V] However, when used responsibly, social media can also offer a variety of positive outcomes, such as the ability to stay connected with loved ones, network professionally, and access valuable information and resources.

One of the major benefits of social media is its ability to keep people connected. For example, individuals who live far apart can maintain close relationships through regular communication on these platforms. Social media also facilitates professional networking, allowing users to connect with potential employers or clients, and enabling companies to promote their products and services to a global audience. Additionally, platforms like Facebook, Twitter, and Instagram provide a space for people to share ideas, opinions, and creative work, fostering a sense of community and collaboration.

Despite these advantages, there are serious concerns about the negative impact of social media, particularly on mental health. Studies have shown that excessive social media use can contribute to feelings of anxiety, depression, and loneliness. This is often attributed to the unrealistic portrayals of life that are commonly shared on these platforms, leading to comparisons that can make individuals feel inadequate or left out. Furthermore, constant exposure to negative news or online bullying can exacerbate these feelings and contribute to long-term psychological stress.

Another issue with social media is its potential to distract people from their daily responsibilities. With notifications constantly popping up and endless streams of content to scroll through, individuals may find it difficult to focus on tasks such as work, school, or personal obligations. This can result in decreased productivity and a lack of attention to important matters.

Ultimately, the impact of social media depends on how it is used. If individuals are mindful of their usage patterns and take steps to limit their time on these platforms, they can enjoy the benefits of staying connected and informed without the negative consequences. Parents, educators, and mental health professionals can also play a role in helping young people develop healthy habits and manage their social media use effectively.

Which of the following best paraphrases the underlined sentence in paragraph 1?

“Social media has become a dominant force in modern communication."

Mark the letter A, B, C or D on your answer sheet to indicate the correct option that best fits each of the numbered blanks from 22 to 26.

WAYS TO IMPROVE YOUR MEMORY

A good memory is often seen as something that comes naturally, and a bad memory as something that cannot be changed, but actually (22) ____________ to improve your memory.

We all remember the things we are interested in and forget the ones that bore us. This no doubt explains the reason why schoolboys remember football results (23) __________ but struggle with dates from their history lessons! Take an active interest in what you want to remember, and (24) ____________ . One way to make yourself more interested is to ask questions — the more the better!

Physical exercise is also important for your memory, because it increases (25) _______________ and sends more oxygen to your brain, and that makes your memory work better. Exercise also reduces stress, (26) _________________.

The old saying that ― eating fish makes you brainy may be true after all. Scientists have discovered that the fats found in fish like tuna, sardines and salmon — as well as in olive oil — help to improve the memory. Vitamin-rich fruits such as oranges, strawberries and red grapes are all good brain food, too.

Điểm công nghiệp có vai trò nào?

Nội dung nào sau đây không phản ánh đúng vai trò của du lịch đối với việc bảo tồn di tích lịch sử và di sản văn hóa? 

Ở kì nào của động cơ Diesel 4 kì, xu páp thải đóng?

Nhận định nào sau đây không thể hiện vai trò của kế hoạch tài chính cá nhân?

Cho hàm số \(f\left( x \right)\) xác định, có đạo hàm trên \(\mathbb{R}\) và \(f\left( 0 \right)=2\). Khi đó, đạo hàm của hàm số \(g\left( x \right)=f\left( x \right)\). \(\text{sin}x\) tại \(x=0\) bằng:

Hoạt động tiêu dùng có vai trò như thế nào đối với sản xuất, phân phối - trao đổi?

Read the following leaflet 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 7 to 12.

HOW THE GENERATION GAP PLAYS OUT IN THE WORKPLACE

As a recruiter, I am in constant communication with executive clients and HR colleagues. I regularly (7) ________ on candidates I’ve placed, to see how they are getting on in their new roles. Here are some of the important generational differences I see that can lead to potential (8) ________ if not properly understood:

·       Communication styles

The young generation is more (9) ________, quick to offer constructive criticism, individualistic, with a more casual approach.

Gen X values hard work and long hours, a/k/a ‘The Grind’ – they are more skeptical, formal, and uncompromising.

·       Leadership styles

The young generation is extremely open-minded. They resist micromanagement, and resent pressure. (10) ________ factor that sets them apart is their emphasis on work-life balance.

 (11) ________, their Generation X supervisors, on the other hand, are intensely focused on the organizational processes that brought the company success; they tend to prioritize (12) ________ and the bottom line.

Một tụ có điện dung 2 μF. Khi đặt một hiệu điện thế 5 V vào 2 bản của tụ điện thì tụ tích được một điện lượng là

Trong các hoạt động kinh tế cơ bản không bao gồm hoạt động nào sau đây?

Thế giới không toàn vẹn và con người vẫn bị giam cầm trong giới hạn của mình. Cái liên kết và bổ sung cho hai thứ đó chính là lời khen. Từ loài cỏ dại không biết tên đến rìa dải ngân hà, từ chiếc răng cửa mới nhú của đứa trẻ đến bài hát của chú cá heo, thế giới lúc nào cũng có những điều để ca ngợi. Nếu không ca ngợi nhau thì con người chỉ là một thực thể vụng về. Không có cái gì hàn gắn tốt hơn là những lời khen cả.

[.....] Món quà mà cuộc hành trình mang lại cho tôi là lời ngợi khen cuộc sống và thế giới. Có Câu nói người thợ mỏ không kêu ca về những hòn đá. Mắt của người thợ mỏ chỉ nhìn thấy những viên đá quý. Tấm lòng ngợi khen cũng làm cho tất cả những viên đá trở thành đá quý. Người giàu là ai? Chính là người có nhiều rung cảm. Người không biết rung cảm chính là người nghèo nàn nhất trên thế gian này.

Bạn sẽ có lời khuyên như thế nào với linh hồn mới sắp đến với cuộc hành trình ở hành tinh này? Bạn có dạy họ ghi nhớ cả một danh sách dài những điều phải cẩn trọng ở thế giới loài người rồi chui vào thế tự vệ không? Hay là bạn sẽ bảo họ rằng trên đời này có rất nhiều điều đáng ca ngợi, hãy để con tim rộng mở sẵn sàng ngợi ca bất cứ khi nào? Hãy bớt thu mình lại, bớt chỉ trích và ngợi ca nhiều hơn nữa.

(Trích Chú chim bay không quay đầu ngoảnh lại, Shiva Ryu, NXB Hà Nội, 2018, tr. 68 - 69).

Phép liên kết xuất hiện trong các câu văn dưới đây là gì?

Thế giới không toàn vẹn và con người vẫn bị giam cầm trong giới hạn của mình. Cái liên kết và bổ sung cho hai thứ đó chính là lời khen.

Read the following passage about managing change 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. 

Growing up in Athens, Greece, Lydia Borsi remembers feeling tested when she tried to deal with mental health issues. Borsi says she had been seeing a therapist for anxiety. But she notes that people in Greece do not openly discuss mental health issues, which also get little attention in general healthcare services. “It was a lot more secretive. And people thought that I was a lot more unique,” Borsi said.

That all changed in 2017 when she moved to the United States to study at the University of Rochester in Rochester, New York. “When I came here, I really liked that people were not afraid to speak up about mental health and say that it’s important,” she said. The university was very supportive of her needs and offered plenty of information. She also became involved with a school group called Active Minds that helps students deal with mental health issues. [A]

Then due to the spread of the novel coronavirus, the University of Rochester had to move all its classes and some of its mental health resources online. Luckily, Borsi was able to connect with a mental health expert outside the school, in the local community. [B]

But as many of her American friends returned home, Borsi was stuck. Greece had succeeded in limiting the spread of the virus within its borders, but flights there from the U.S. are barred until July. Also, the health crisis has put her plans to seek admission to medical school in Britain on hold. [C] And she is not alone.

[D] In April, Active Minds launched a survey of over 2,000 students at U.S. colleges and universities. The study found that over 80 percent of those asked said the coronavirus crisis had negatively affected their mental health. One in five said it has affected them severely.

Laura Horne, chief program officer at Active Minds, says the findings are especially troubling given that the crisis is only going to make it harder for colleges and universities to help these students. “Colleges and universities had to pivot rather quickly to respond to COVID-19 and figure out all facets of university life, including mental health services. Now they have to figure out how to communicate with students,” Horne said.

Frank Chen is a Houston, Texas-based psychiatrist who has worked with college-age young adults. He points out that individuals at that age are in an important stage of their mental development. And college can be a difficult experience for students with or without mental health issues, as they balance work, studies, and personal relationships. Adding a major world event, like the spread of the coronavirus, makes it very difficult to predict what the long-term psychological effects might be. “I don’t think that there’s another event in the history of the people who are alive now that can really measure up to this,” said Chen.

According to the passage, how has coronavirus crisis affected 20 percent of college students?