Một vật nhỏ dao động có đồ thị giữa li độ và thời gian như hình . Nhận định nào đúng, nhận định nào sai?

Nội dung	Đúng	Sai
a. Tần số dao động của vật là 1,5 Hz
b. Chiều dài quỹ đạo dao động của vật là 4 cm.
c. Ở thời điểm  vật chuyển động qua vị trí x = -2 theo chiều âm.
d. Tốc độ trung bình khi vật đi được quãng đường 13 cm là 19,5 s.

Trong mỗi ý a), b), c), d) ở mỗi câu, thí sinh chọn đúng hoặc sai.

Một khu phố có 50 hộ gia đình trong đó có 18 hộ nuôi chó, 16 hộ nuôi mèo và 7 hộ nuôi cả chó và mèo. Chọn ngẫu nhiên một hộ trong khu phố trên, tính xác suất để hộ đó nuôi chó hoặc nuôi mèo.

Read the following advertisement and mark the letter A, B, C, or D   to indicate the option that best fits each of the numbered blanks from 1 to 6.

JOIN THE INTERNATIONAL CULTURAL FESTIVAL!

    Are you looking (1) ______ a fun and exciting event? Come to the International Cultural Festival this weekend! This amazing event brings together cultures from around the world, offering you the chance to enjoy (2) ______ different traditions, foods, and music. This is a great chance to make new friends and (3) ______ traditions from various countries. A special part of the festival is the art exhibition, where (4) ______ works from local and international artists will be displayed. Don’t miss the opportunity to experience (5) ______ variety of cultural activities all in one place. Everyone is welcome to join the celebration, and there’s something for all ages to enjoy. The festival (6) ______ at the city park from 10 AM to 5 PM on Saturday. See you there!

Nếu một khối chóp có diện tích mặt đáy bằng S và có chiều cao bằng h thì có thể tích bằng 

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

    Some people look at an equation and see a bunch of complicated numbers and symbols while others see beauty [I]. Now, thanks to a new tool created at Carnegie Mellon University, anyone can now translate the abstractions of mathematics into beautiful and instructive illustrations [II]. This exciting new tool is named Penrose after the mathematician Roger Penrose, who is famous for using diagrams and other drawings to communicate complicated mathematical ideas [III]. Penrose enables users to create diagrams simply by typing mathematical expressions and letting the software do the drawing [IV].

    Unlike a graphing calculator, these aren’t restricted to basic functions, but can be complex relationships from any area of mathematics. “Some mathematicians have a talent for drawing beautiful diagrams by hand, but they vanish as soon as the chalkboard is erased,” said Keenan Crane, an assistant professor of computer science and robotics. “We want to make this expressive power available to anyone.”

    Diagrams are often underused in mathematical communication, since producing high-quality illustrations is beyond the skill of many researchers and requires a great deal of time and effort. Penrose addresses these challenges by letting diagram-drawing experts turn their knowledge about creating diagrams into computer codes so that other users can access this capability using familiar mathematical language and a computer. “We started off by asking: ‘How do people translate mathematical ideas into pictures in their head?’” said Katherine Ye, a Ph.D. student in the Computer Science Department who is involved in the development of Penrose. “The secret sauce of our system is to empower people to easily ‘explain’ this translation process to the computer, so the computer can do all the hard work of actually making the picture.”

    Once the computer learns how the user wants to see a mathematical object visualized – a vector represented by a little arrow, for instance, or a point represented as a dot – it uses these rules to draw several candidate diagrams. Users can then select and edit the diagrams they want from a gallery of possibilities. A special, simple-to-learn programming language was also developed so that they can easily convey the ideas in their minds to the Penrose system, Crane said. “Mathematicians can get very picky about notations,” he explained. “We let them define whatever notation they want, so they can express themselves naturally.”

    The researchers will present Penrose at the SIGGRAPH 2020 Conference on Computer Graphics and Interactive Techniques, which will be held this July. “Our vision is to be able to dust off an old math textbook from the library, drop it into the computer and get a beautifully illustrated book - that way more people understand,” Crane said, noting that Penrose is a first step toward this goal.

(Adapted from sciencedaily.com)

Một số amine no, đơn chức, mạch hở, trong phân tử có phần trăm khối lượng nitrogen bằng 23,73%. Có bao nhiêu chất là đồng phân tác dụng được với dung dịch acid HNO₂ ở nhiệt độ thích hợp sinh ra alcohol và khí nitrogen?

Hiến pháp Nước Cộng hòa xã hội Chủ nghĩa Việt Nam năm 2013 có bao nhiêu chương và bao nhiêu điều?

Read the following passage about gender equality 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.

GENDER EQUALITY TODAY

     Gender equality is a fundamental human right and a critical foundation for a peaceful, prosperous, and sustainable world. [I] Despite significant progress in recent years, gender inequality remains a pressing issue across the globe. [II] Women continue to be underrepresented in leadership positions and face numerous barriers in various sectors, including education, healthcare, and the workforce. [III] According to the World Economic Forum’s Global Gender Gap Report 2021, it will take an estimated 135.6 years to close the gender gap globally if current trends continue. [IV]

     In many countries, women are still subjected to discrimination and violence. Gender-based violence, including domestic violence and sexual harassment, affects millions of women worldwide and hinders their ability to participate fully in society. Additionally, cultural and societal norms often perpetuate stereotypes that limit women’s roles and opportunities.

     However, there are positive signs of change. Movements advocating for gender equality have gained momentum, and more individuals are recognizing the importance of women’s rights. Governments and organizations are implementing policies to promote equal opportunities and protect against discrimination. Education plays a vital role in this transformation, as empowering girls through education can lead to improved economic outcomes and healthier communities.

     Achieving gender equality is not only a matter of fairness; it is essential for the advancement of society as a whole. By ensuring equal rights and opportunities for all genders, we can create a more just and equitable world.

(Adapted from United Nations. “Gender Equality.” UN Women. 2021)