Cho hàm số \(y=\sqrt{2 x-x^{2}}\). Biết hàm số nghịch biến trên đoạn \((a; b)\), Tính \(a+2 b\).
Đề Thi Tham Khảo Đánh Giá Năng Lực Năm 2024 – ĐHQG Hà Nội – Đề Số 01 là bài kiểm tra toàn diện và khoa học, giúp học sinh thể hiện năng lực giải quyết vấn đề, tư duy sáng tạo và phân tích logic. Với ba phần thi chính: Toán Học Và Xử Lí Số Liệu, Văn Học - Ngôn Ngữ, và Khoa Học/Tiếng Anh, đề thi không chỉ dừng lại ở việc kiểm tra kiến thức cơ bản mà còn yêu cầu thí sinh phát triển khả năng lập luận và ứng dụng thực tiễn. Đặc biệt, phần thi Khoa Học cho phép lựa chọn giữa Vật Lí, Hóa Học, Sinh Học, Lịch Sử, Địa Lí tạo điều kiện cho thí sinh phát huy thế mạnh cá nhân.
Câu hỏi liên quan
Đọc đoạn trích sau và trả lời câu hỏi:
Vào thời điểm hoàn thiện nụ cười của nàng Lisa, Leonardo đã dành hằng đêm trong nhà xác dưới bệnh viện Santa Maria Nuova, bóc thịt các tử thi để quan sát các cơ và dây thần kinh bên dưới lớp da. Ông ấy trở nên say mê tìm hiểu về sự hình thành của một nụ cười. Ông bắt đầu phân tích mọi chuyển động của từng bộ phận trên khuôn mặt và xác định nguồn gốc của mọi dây thần kinh điều khiển từng bó cơ. Việc tìm hiểu dây thần kinh nào là dây thần kinh sọ và dây thần kinh nào là dây thần kinh tủy sống có thể không cần thiết để vẽ nên một nụ cười, nhưng Leonardo vẫn thấy mình cần phải biết.
(Walter Isaacson, The Eyes And The Smile Of Mona Lisa)
Tại sao người viết phải dùng một đoạn văn dài để mô tả lại quá trình Leonardo nghiên cứu giải phẫu và quang học?
Read the following passage and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions.
Taking Home the World Cup
Standing just 36 centimeters tall, the FIFA World Cup Trophy symbolizes the pinnacle of football achievement. Every four years, teams worldwide compete for it, but no one ever takes the trophy home. Made of 18-carat gold, the original trophy remains under FIFA's protection, with winners receiving only a replica. This measure safeguards it from theft, as the trophy has been stolen twice in its history.
The original trophy was made by a French sculptor, Abel LaFleur, and was called the “Jules Rimet Cup,” in honor of the founder of the World Cup tournament. Sometime during the first three World Cup events (1930, 1934, and 1938), the name changed to simply the “World Cup.” Then during World War II, not much was seen or heard of the trophy. It was being kept hidden in a shoe box under the bed of Dr. Ottorino Barassi, the Italian vice-president of FIFA, to prevent it from falling into the hands of the Nazi army. In 1966, the Cup was stolen during a public showing of the trophy prior to the World Cup tournament in England. Luckily, it was found a short time later, none the worse for wear, in a trash container by a little dog named Pickles. Four years later, Brazil earned permanent possession of the original trophy by winning its third World Cup title. Unfortunately, the trophy was stolen a second time in 1983 and was never recovered. The Brazilian Football Association had to have a duplicate trophy made.
(I) After the first trophy became the possession of Brazil’s football association, a new World Cup Trophy for FIFA was designed by an Italian artist, Silvio Gazzaniga, in 1974. (II) This trophy cannot be won outright, but remains in the possession of FIFA, and rest assured they are watching it very closely. Today, World Cup winners are awarded a replica of the trophy that is gold-plated, rather than solid gold like the real one. (III) Gazzaniga’s World Cup trophy weighs almost five kilograms. (IV) Its base contains two layers of a semi-precious stone called malachite, and has room for seventeen small plaques bearing the names of the winning teams---enough space to honor all the World Cup champions up to the year 2038. After that, a new trophy will have to be made.
Which of the following best paraphrases the underlined sentence?
- Hình bên mô tả thí nghiệm về hiện tượng cảm ứng điện từ. Khi tăng tốc độ di chuyển thanh nam châm, dòng điện trong ống dây
Read the following passage and mark the letter A, B, C, or D to indicate the correct answer to each of the questions.
The family in Britain is changing. The once typical British family headed by two parents has undergone substantial changes during the twentieth century. In particular there has been a rise in the number of single-person households, which increased from 18 to 29 per cent of all households between 1971 and 2002. By the year 2020, it is estimated that there will be more single people than married people. Fifty years ago, this would have been socially unacceptable in Britain.
In the past, people got married and stayed married. Divorce was very difficult, expensive and took a long time. Today, people's views on marriage are changing. Many couples, mostly in their twenties or thirties, live together (cohabit) without getting married. Only about 60% of these couples will eventually get married.
In the past, people married before they had children, but now about 40% of children in Britain are born to unmarried cohabiting) parents. In 2000, around a quarter of unmarried people between the ages of 16 and 59 were cohabiting in Great Britain. Cohabiting couples are also starting families without first being married. Before 1960 this was very unusual, but in 2001 around 23 per cent of births in the UK were to cohabiting couples.
People are generally getting married at a later age now and many women do not want to have children immediately. They prefer to concentrate on their jobs and put off having a baby until late thirties.
The number of single-parent families is increasing. This is mainly due to more marriages ending in divorce, but some women are also choosing to have children as lone parents without being married.
Which of the following could be the best title for the passage?
Dựa vào đồ thị độ dịch chuyển - thời gian của một chuyển động thẳng đều có thể xác định được vận tốc của chuyển động bằng công thức
Bệnh tụ huyết trùng trâu bò là gì?
Điều nào không đúng khi nói về cơ chế phát tán của worm?
Để có được sức cạnh tranh mạnh về kinh tế, các nước đang phát triển đã tiến hành điều nào sau đây?
a. Many communities have special collection points for these materials to ensure they are handled safely.
b. We can help protect our environment by properly disposing of hazardous waste.
c. This simple act is vital for keeping our environment clean and safe for everyone.
d. Items like old batteries, electronic devices, and chemicals should not be thrown in the regular rubbish bin.
e. By taking the time to dispose of these items correctly, we prevent harmful substances from contaminating our soil and water.
Các phát biểu dưới đây đúng hay sai khi nói về nội năng của một vật? Đồ thị dưới đây mô tả sự thay đổi nhiệt độ trong quá trình nóng chảy của thiếc.
Mark the letter A, B, C or D on your answer sheet to indicate the sentence that is closest in meaning to each of the following questions.
I thought he was the right person for the position, yet it turned out that he was quite useless.
Cơ sở nào sau đây là đặc trưng của quá trình trao đổi?
Lượng cung hàng hóa và dịch vụ trên thị trường không bị ảnh hưởng bởi những yếu tố nào sau đây?
Những người sản xuất, cung cấp hàng hoá, dịch vụ ra thị trường, đáp ứng nhu cầu tiêu dùng của xã hội được gọi là gì?
Một xe chạy trong 5 giờ, 2 giờ đầu xe chạy với tốc độ trung bình 54 km/h, 3 giờ sau xe chạy với tốc độ 45 km/h. Tính tốc độ trung bình của xe trong suốt thời gian chuyển động?
Nguyên tử của nguyên tố X có electron cuối cùng điền vào phân lớp 3p1. Nguyên tử của nguyên tố Y có electron cuối cùng điền vào phân lớp 3p3. Số hiệu nguyên tử của X và Y lần lượt là
Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct answer.
Global Issues: Gender Equality and Women’s Empowerment
Gender equality means that men and women have equal power and equal opportunities for financial independence, education, and personal development. Women's empowerment is a critical aspect of achieving gender equality. It includes increasing a woman's sense of self-worth, her decision-making power, her access to opportunities and resources, her power and control over her own life inside and outside the home, and her ability to effect change. Yet gender issues are not focused on women alone, but on the relationship between men and women in society. The actions and attitudes of men and boys play an essential role in achieving gender equality.
Education is a key area of focus. Although the world is making progress in achieving gender parity in education, girls still make up a higher percentage of out-of-school children than boys. Approximately one quarter of girls in the developing world do not attend school. Typically, families with limited means who cannot afford costs such as school fees, uniforms, and supplies for all of their children will prioritize education for their sons. Families may also rely on girls' labor for household chores, carrying water, and childcare, leaving limited time for schooling. But prioritizing girls' education provides perhaps the single highest return on investment in the developing world. An educated girl is more likely to postpone marriage, raise a smaller family, have healthier children, and send her own children to school. She has more opportunities to earn an income and to participate in political processes, and she is less likely to become infected with HIV.
Women's health and safety is another important area. HIV/AIDS is becoming an increasingly impactful issue for women. This can be related to women having fewer opportunities for health education, unequal power in sexual partnership, or as a result of gender-based violence. Maternal health is also an issue of specific concern. In many countries, women have limited access to prenatal and infant care, and are more likely to experience complications during pregnancy and childbirth. This is a critical concern in countries where girls marry and have children before they are ready; often well before the age of 18. Quality maternal health care can provide an important entry point for information and services that empower mothers as informed decision-makers concerning their own health and the health of their children.
A final area of focus in attaining gender equality is women's economic and political empowerment. Though women comprise more than 50% of the world's population, they only own 1% of the world's wealth. Throughout the world, women and girls perform long hours of unpaid domestic work. In some places, women still lack rights to own land or to inherit property, obtain access to credit, earn income, or to move up in their workplace, free from job discrimination. At all levels, including at home and in the public arena, women are widely underrepresented as decision-makers. In legislatures around the world, women are outnumbered 4 to 1, yet women's political participation is crucial for achieving gender equality and genuine democracy.
According the passage, what is the meaning of “gender equality”?
Mark the letter A, B, C or D on your answer sheet to indicate the best arrangement of utterances or sentences to make a meaningful exchange or text in each of the following questions from 13 to 17.
a. Lisa: Yes, I love chocolate ice cream! What about you?
b. Tom: I like vanilla ice cream, but I eat it only on sunny days.
c. Tom: Hello! Do you like ice cream?
Read the following advertisement 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.
Living Every Moment Fully: Secrets to Happiness in the Digital Era
Are you seeking balance in your life? The (1)_________ balance between online and offline worlds awaits you!
Our modern (2)_________ create unnecessary daily life stress in our increasingly connected world. Stolen moments (3)_________ your phone during important conversations add up to lost time. We should remind people (4)_________ the value of being present together.
The secret (5)_________ in finding your perfect digital-life harmony through mindful technology use. Start prioritizing real connections today (6)_________ your life into something meaningful.
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Trước cuộc khai thác thuộc địa lần thứ nhất, xã hội Việt Nam có hai giai cấp cơ bản là