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travyse
31.07.2021 •
Mathematics
Từ điểm M nằm ngoài đường tròn O R; vẽ các tiếp tuyến MA MB , đến O ( A B, là các tiếp
điểm). Vẽ đường kính BD của O , đường thẳng MD cắt lại O tại C (khác D ). Từ O
dựng đường thẳng vuông góc với CD tại E , cắt AB tại S . Gọi H K, lần lượt các là giao điểm
của MO MD , với AB .
1. Chứng minh: 4 điểm A E O B , , , cùng
nằm trên một đường tròn.
2. Chứng minh: 4 điểm K H O E , , , cùng
nằm trên một đường tròn.
3. Chứng minh: 4 điểm M C H B , , , cùng
nằm trên một đường tròn.
4. Chứng minh: 2 M B MC MD . .
5. Chứng minh: MCA MAD .
6. Chứng minh: .
2
BC AD R
AC
.
7. Chứng minh: MC KD MD KC . . .
8. Chứng minh: OEA OAS và
SC SD , là các tiếp tuyến của O .
9. (*) Chứng minh: ADC HDB .
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Ответ:
x=z/3-2y/3
i hope this helps :))