Một guồng nước (còn gọi là cọn nước) có dạng hình tròn bán kính \(2,5{m}\); trục của nó cách mặt nước 2 m. Khi guồng quay đều, khoảng cách \(h\left( {m} \right)\) từ một ống đựng nước gắn tại một điểm của guồng đến mặt nước được tính theo công thức \(h=\left| y \right|\), trong đó \(y=2,5\text{sin}\left( 2\pi x-\frac{\pi }{2} \right)+2\) với \(x\) (phút) là thời gian quay của guồng nước.

(Nguồn: Đại số và Giải tích nâng cao, NXBGD Việt Nam, 2021)

Chọn số vào vị trí phù hợp:

Ban đầu, tại thời điểm \(x=0\), ống nước cách mặt nước: (…a…) (m).

Khoảng thời gian giữa hai lần ống nước ở vị trí cao nhất là: (…b…) (phút).

Một con lắc đơn có chiều dài \(l\), dao động điều hòa tại một nơi có gia tốc rơi tự do g với biên độ góc \({\alpha _0}\). Lúc vật đi qua vị trí có li độ \(\alpha \), nó có vận tốc là v. Biểu thức nào sau đây đúng?

Phản ứng nào không thể hiện tính khử của glucozơ?

Một cặp vợ chồng, người vợ là Jane, mắc một căn bệnh hiếm gặp bị mù loà ở tuổi dậy thì. Bà ngoại, mẹ, cậu và tất cả các anh chị em của Jane đều mắc bệnh này. Cha của Jane và ông ngoại không bị bệnh. Chồng cô, Joe, không có bệnh này trong gia đình mình. Con trai của họ sinh ra sẽ bị mù ở tuổi dậy thì với xác xuất là bao nhiêu?

Các lĩnh vực trao đổi, mua bán mà ở đó các chủ thể kinh tế tác động qua lại lẫn nhau để xác định giá cả và số lượng hàng hoá, dịch vụ được gọi là gì?

Read thefollowing passage and mark the letter A, B, C or D on your answer sheet to indicate the option that bestfits each of the numbered blanksfrom 18 to 22. 

Sustainable travelling, (18) ________, is becoming increasingly popular as people become more aware of the environmental impact of traditional travel. Travelling in a sustainable way means reducing carbon footprints and respecting local cultures and ecosystems. For instance, (19) _______ by choosing eco-friendly accommodations, using public transportation, or supporting local businesses that prioritize sustainability. However, there are also challenges, such as the tendency for some to prioritize convenience over environmental concerns, which can lead to unsustainable practices.

While sustainable travelling is often seen as a positive trend, (20) ________. Choosing to fly less frequently, for example, can significantly reduce carbon emissions, but it requires travelers to be mindful of alternative options. Furthermore, (21) ________, ensuring that they contribute positively to the local economy and culture. Travel companies also play an essential role in promoting sustainable tourism by offering packages that prioritize environmental conservation and social responsibility.

In conclusion, sustainable travelling is not just a passing trend but a long-term shift towards more responsible tourism. (22) _______, individuals, communities, and governments can together create an environment where sustainable travel becomes the norm rather than the exception. By doing so, we can ensure that future generations are able to enjoy the beauty of the world without compromising its preservation.

Một viên đạn đang bay với vận tốc 10m/s thì nổ thành hai mảnh. Mảnh thứ nhất, chiếm 60% khối lượng của viên đạn và tiếp tục bay theo hướng cũ với vận tốc 25m/s. Tốc độ và hướng chuyển động của mảnh thứ hai 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?

Read the following passage about the Second Acts That Inspire 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.

Life often presents us with unexpected challenges that force us back to the drawing board. Whether due to personal setbacks, career changes, or unforeseen circumstances, the courage to begin again can lead to remarkable transformations. Many inspiring individuals have shown that it's never too late to reinvent oneself and pursue new dreams. Throughout history, countless people have overcome seemingly impossible situations through sheer determination.

[I] Take J.K. Rowling, for instance. Before becoming a literary sensation, she was a struggling single mother living on welfare. [II] Her determination eventually paid off when her books became a global phenomenon, proving that setbacks can become stepping stones to success. [III] This remarkable turnaround demonstrates how resilience and unwavering belief in oneself can overcome seemingly insurmountable obstacles. Despite facing depression and financial hardship, she never gave up on her dreams. [IV]

Colonel Harland Sanders' story is another testament to the power of starting anew. At the age of 65, when most people contemplate retirement, he found himself struggling financially after his restaurant failed. Instead of giving up, he traveled across America, sleeping in his car while pitching his chicken recipe to restaurant owners. His recipe for success wasn't just about the perfect blend of herbs and spices; it was about persistence and determination. After facing over 1,000 rejections, he finally established Kentucky Fried Chicken, which grew into a global empire. His unwavering spirit and dedication inspired generations of entrepreneurs worldwide.

These inspiring stories remind us that failure is not final, but rather a chance to redirect our path. Every setback carries the seed of an equal or greater opportunity, and sometimes the end of one chapter is simply the beginning of a better one. The key lies in having the courage to take that first step, even when the future seems uncertain. As these remarkable individuals have shown, it's never too late to rewrite your story and create a powerful second act. Their journeys teach us that persistence and courage ultimately lead to success.

The word “he” in paragraph 3 refers to _________.

Kinh doanh là việc thực hiện liên tục một, một số hoặc tất cả công đoạn của quá trình từ đầu tư, sản xuất, tiêu thụ sản phẩm hoặc cung ứng dịch vụ trên thị trường nhằm mục đích nào sau đây?

Một trong những nguyên nhân dẫn đến sự sụp đổ của Vương triều Tây Sơn là

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.

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

Trong trường hợp dưới đây, những yếu tố nào tham gia vào hoạt động kinh tế?

"Vào những ngày Tết, các gian hàng phục vụ mặt hàng Tết đa dạng, phong phú như: bánh kẹo, giò chả, bánh chưng, hoa quả, rau củ, hàng đông lạnh,... ; có khu vực bày bán đủ các loại cây như: đào, mai, cúc, lan,... nhằm đáp ứng nhu cầu mua sắm và chưng Tết. Người dân đi chợ không chỉ để mua sắm mà còn để tận hưởng không khí háo hức khi Tết đến".

AYVP, or “ASEAN Youth Volunteer Program,” is a special program for young people in the ASEAN region (a group of Southeast Asian countries). It helps them get (631) ____________ and make a difference. This program (632) ____________ together young people from different ASEAN countries to work together, promote cross-cultural understanding, and develop leadership skills.

AYVP is also designed to address social issues of concern in ASEAN AYVP’s main goal is to help young people feel connected to the ASEAN community and encourage them to work together to solve problems. (633) ____________ helps them not only gain valuable hands-on experience in volunteer work but also build lasting friendships and networks with their (634) ____________ from neighboring countries. This helps them feel responsible for improving the region.

Overall, the ASEAN Youth Volunteer Program shows (635) ____________ for young people to solve big problems. By giving young people the chance to make positive changes, AYVP helps the ASEAN community grow stronger and creates a better future for everyone.

Tập hợp tất cả các nguyên tắc, chuẩn mực đạo đức cơ bản được biểu hiện cụ thể trong các lĩnh vực kinh doanh, có tác dụng điều chỉnh, đánh giá, hướng dẫn hành vi của các chủ thể trong kinh doanh được gọi là gì?

Đối tượng nghiên cứu của sinh học là gì?

Đồ thị nào sau đây là của chuyển động thẳng chậm dần đều?

Đường đặc trưng I – U của chất bán dẫn có dạng đường gì?

GPS do quốc gia nào dưới đây xây dựng, vận hành và quản lí?

Theo thuyết kiến tạo mảng, cấu tạo của thạch quyển bao gồm tất cả bao nhiêu mảng kiến tạo lớn?

Lệnh nào sau đây dùng để tách xâu?