Nguyễn Trần Khánh Linh

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(Thường được cập nhật sau 1 giờ!)

Video calls have become a vital part of our daily communication, offering both benefits and drawbacks. On the plus side, they allow us to see facial expressions and body language, making conversations feel more personal despite the distance. It is also a cost-effective way for businesses and families to stay connected globally. However, video calls can be tiring, a phenomenon often called "Zoom fatigue." Moreover, they rely heavily on a stable internet connection; poor signals can lead to frustrating delays or dropped calls. In conclusion, while video calls are incredibly convenient, we should balance them with face-to-face interactions.

1.

=>Marcus wanted to know how many people would come the day after.

→ People will communicate with each other using telepathy in 50 years' time.

1.

=>Janet told him that he could leave his bags there for a few minutes.

→ My dad asked me where I was going with my friends the following week.

→ It took my brother an hour to fix my broken webcam.

Vietnam frequently faces natural disasters, especially typhoons, which usually occur between June and November. These powerful storms bring heavy rain and strong winds, leading to severe flooding and landslides. Typhoons cause significant damage to crops, destroy houses, and disrupt transportation, particularly in central coastal areas. To minimize the impact, the government always issues early warnings, and people prepare by reinforcing their homes and moving to safer places. Although typhoons are unpredictable and dangerous, being well-prepared helps reduce the loss of life and property.

1 : How often earthquakes occurred in that region

2: I could find a wide range of beauty products in their store

1: I think robot can't replace the role of teachers in education

2 : People will still send letters to each other in 2050

Trala và tung chơi gay đau mà gay chỉ boylove thôi

1. Sử dụng tính chất của hai tam giác đồng dạng:
△ABC∼△A′B′C′triangle cap A cap B cap C tilde triangle cap A prime cap B prime cap C prime△𝐴𝐵𝐶∼△𝐴′𝐵′𝐶′ theo tỉ số đồng dạng kk𝑘, ta có: 
  • Tỉ số các cạnh: A′B′AB=B′C′BC=A′C′AC=kthe fraction with numerator cap A prime cap B prime and denominator cap A cap B end-fraction equals the fraction with numerator cap B prime cap C prime and denominator cap B cap C end-fraction equals the fraction with numerator cap A prime cap C prime and denominator cap A cap C end-fraction equals k𝐴′𝐵′𝐴𝐵=𝐵′𝐶′𝐵𝐶=𝐴′𝐶′𝐴𝐶=𝑘
  • Các góc tương ứng: ∠B=∠B′,∠C=∠C′,∠A=∠A′angle cap B equals angle cap B prime comma angle cap C equals angle cap C prime comma angle cap A equals angle cap A prime∠𝐵=∠𝐵′,∠𝐶=∠𝐶′,∠𝐴=∠𝐴′ 
2. Chứng minh cặp trung tuyến đầu tiên A′M′AM=kthe fraction with numerator cap A prime cap M prime and denominator cap A cap M end-fraction equals k𝐴′𝑀′𝐴𝑀=𝑘: 
  • Mcap M𝑀 là trung điểm của BCcap B cap C𝐵𝐶 nên BM=12BCcap B cap M equals one-half cap B cap C𝐵𝑀=12𝐵𝐶.
  • M′cap M prime𝑀′ là trung điểm của B′C′cap B prime cap C prime𝐵′𝐶′ nên B′M′=12B′C′cap B prime cap M prime equals one-half cap B prime cap C prime𝐵′𝑀′=12𝐵′𝐶′.
  • Ta có tỉ số: B′M′BM=12B′C′12BC=B′C′BC=kthe fraction with numerator cap B prime cap M prime and denominator cap B cap M end-fraction equals the fraction with numerator one-half cap B prime cap C prime and denominator one-half cap B cap C end-fraction equals the fraction with numerator cap B prime cap C prime and denominator cap B cap C end-fraction equals k𝐵′𝑀′𝐵𝑀=12𝐵′𝐶′12𝐵𝐶=𝐵′𝐶′𝐵𝐶=𝑘.
  • Xét △ABMtriangle cap A cap B cap M△𝐴𝐵𝑀 △A′B′M′triangle cap A prime cap B prime cap M prime△𝐴′𝐵′𝑀′ có:
    • A′B′AB=B′M′BM=kthe fraction with numerator cap A prime cap B prime and denominator cap A cap B end-fraction equals the fraction with numerator cap B prime cap M prime and denominator cap B cap M end-fraction equals k𝐴′𝐵′𝐴𝐵=𝐵′𝑀′𝐵𝑀=𝑘
    • ∠B=∠B′angle cap B equals angle cap B prime∠𝐵=∠𝐵′ (do △ABC∼△A′B′C′triangle cap A cap B cap C tilde triangle cap A prime cap B prime cap C prime△𝐴𝐵𝐶∼△𝐴′𝐵′𝐶′)
  • Suy ra △ABM∼△A′B′M′triangle cap A cap B cap M tilde triangle cap A prime cap B prime cap M prime△𝐴𝐵𝑀∼△𝐴′𝐵′𝑀′ (cạnh - góc - cạnh).
  • Từ đó ta có tỉ số các cạnh tương ứng: A′M′AM=A′B′AB=kthe fraction with numerator cap A prime cap M prime and denominator cap A cap M end-fraction equals the fraction with numerator cap A prime cap B prime and denominator cap A cap B end-fraction equals k𝐴′𝑀′𝐴𝑀=𝐴′𝐵′𝐴𝐵=𝑘(1) 
3. Chứng minh các cặp trung tuyến còn lại: 
  • Hoàn toàn tương tự, xét △BCNtriangle cap B cap C cap N△𝐵𝐶𝑁 △B′C′N′triangle cap B prime cap C prime cap N prime△𝐵′𝐶′𝑁′ (hoặc △ABNtriangle cap A cap B cap N△𝐴𝐵𝑁 △A′B′N′triangle cap A prime cap B prime cap N prime△𝐴′𝐵′𝑁′), ta chứng minh được △BCN∼△B′C′N′triangle cap B cap C cap N tilde triangle cap B prime cap C prime cap N prime△𝐵𝐶𝑁∼△𝐵′𝐶′𝑁′, suy ra: B′N′BN=kthe fraction with numerator cap B prime cap N prime and denominator cap B cap N end-fraction equals k𝐵′𝑁′𝐵𝑁=𝑘(2)
  • Xét △ACPtriangle cap A cap C cap P△𝐴𝐶𝑃 △A′C′P′triangle cap A prime cap C prime cap P prime△𝐴′𝐶′𝑃′, ta chứng minh được △ACP∼△A′C′P′triangle cap A cap C cap P tilde triangle cap A prime cap C prime cap P prime△𝐴𝐶𝑃∼△𝐴′𝐶′𝑃′, suy ra: C′P′CP=kthe fraction with numerator cap C prime cap P prime and denominator cap C cap P end-fraction equals k𝐶′𝑃′𝐶𝑃=𝑘(3) 
4. Kết luận:
Từ (1), (2) và (3), ta có:
A′M′AM=B′N′BN=C′P′CP(=k)the fraction with numerator cap A prime cap M prime and denominator cap A cap M end-fraction equals the fraction with numerator cap B prime cap N prime and denominator cap B cap N end-fraction equals the fraction with numerator cap C prime cap P prime and denominator cap C cap P end-fraction space open paren equals k close paren𝐴′𝑀′𝐴𝑀=𝐵′𝑁′𝐵𝑁=𝐶′𝑃′𝐶𝑃(=𝑘)
(Điều phải chứng minh)