Cho tam giác ABC nhọn không cân nội tiếp đường tròn (O). Đường tròn (J) bàng tiếp góc A tiếp xúc với các đường thẳng BC, CA, AB lần lượt tại D, E, F. Gọi M là trung điểm của BC. Đường tròn đường kính MJ cắt DE tại điểm K khác D. Gọi D là giao điểm thứ hai của đường thẳng AD và (J) .
a) Chứng minh rằng bốn điểm B, D, K, D' cùng nằm trên một đường tròn.
b) Gọi G là giao của BC và EF, đường thẳng GJ cắt AB, AC lần lượt tại L và N. Lấy các điểm P, Q lần lượt trên các đường thẳng JB, JC sao cho \(\widehat{PAB}=\widehat{QAC}=90^o\). Các đường thẳng LP và NQ cắt nhau tại T. Gọi S là điểm chính giữa cung BAC của (O) và T là giao của AT với (O). Chứng minh rằng đường thẳng ST' đi qua tâm đường tròn nội tiếp tam giác ABC.
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999 x 888 = \(\overline{..2}\) ≠ 567894
Vậy 999 x 888 = 567894 là sai
1 They traveled to Italy to explore ancient......
2 She goes to the gym every day to exercise and stay healthy
3 He bought a new camera to capture beautiful moments....
4 They donated money to the local charity to help .....
5 She attended the workshop to learn new...
Viết như này nha bạn ơi
Living in a smart city brings many benefits and disadvantages. In this article, I will present some pros and cons of living in a smart city.
The first advantage of living in a smart city is convenience. Information and communications technology is integrated into urban systems, helping to provide public services more effectively. For example, through mobile applications, people can easily search for information about transportation, destinations, and entertainment activities. Furthermore, the smart traffic system helps reduce congestion and save travel time.
Another advantage of smart cities is energy saving and environmental protection. Advanced technologies are applied to manage and use resources effectively. For example, automatic lighting and temperature regulation in buildings help save energy. In addition, the use of smart public transport and self-driving cars helps reduce polluting emissions.
However, living in a smart city also has disadvantages. One of them is the issue of information security. With the widespread use of information technology, the risk of personal information insecurity and privacy violations increases. This requires strong security measures to ensure the safety of people's personal data.
Another drawback of smart cities is their dependence on technology. If technology systems fail or are attacked, public services could be disrupted. This poses challenges for maintaining stability and ensuring security of smart cities.
In short, living in a smart city brings many benefits such as convenience and energy savings. However, it is also necessary to pay attention to information security issues and dependence on technology. To make the most of the advantages and minimize the disadvantages, smart investment and management from city managers is needed.
Title: Proposal for a welcome Event for New Students
To: The School Board and Teachers
Date: September 20,2025
Prepared by: Class 11B
Introduction:
This proposal aims to organize a welcome event to greet new members joining our school community
Details about the idea/project:
The event will take place in the school playgroupd on October 5,2025. It will include ice-breaking games, group activities, and short performances by students
Goals and benefits:
The event helps new members feel more comfortable, encourages teamwork, and creates a friendly school environment
Conclusion:
We kindly ask the school leaders to consider and approve this proposal so the event can be successfully organized


