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![](https://rs.olm.vn/images/avt/0.png?1311)
Từ O kẻ đg thg vg góc vs AB tại H
=> AH=BH=AB/2 = R căn 3 /2
Theo hệ thức lượng trong tam giác AHO vuông ở H ta có
SIN góc AOH = R căn 3 /2 : R
= căn 3/2 = 60
=> Góc AOB = 2 góc AOH= 2*60 =120
SĐ AB nhỏ =120
SĐ AB lớn = 360 - sđ AB nhỏ = 360 -120 = 240
![](https://rs.olm.vn/images/avt/0.png?1311)
Tính được sđ A B ⏜ nhỏ = A O B ^ = 90 0
Suy ra sđ A B ⏜ lớn = 270 0
![](https://rs.olm.vn/images/avt/0.png?1311)
Tự vẽ hình
a) Do \(CD\) vuông góc \(AB\) nên \(AB\) là trung trực của \(CD\) (liên hệ giữa đường kính và dây cung)
\(\Rightarrow AC=AD\Rightarrow sđ\stackrel\frown{AC}=sđ\stackrel\frown{AD}\)
Mà \(sđ\stackrel\frown{AC}=\stackrel\frown{AOC}=50^0\Rightarrow sđ\stackrel\frown{AD}=50^0\).
Do \(DE\) song song \(AB\)
\(sđ\stackrel\frown{BE}=sđ\stackrel\frown{AD}=50^0\Rightarrow\widehat{BOE}=sđ\stackrel\frown{BE}=50^0\).
b) Do \(B\in\stackrel\frown{CE}\Rightarrow sđ\stackrel\frown{CBE}=sđ\stackrel\frown{CB}+sđ\stackrel\frown{BE}\)
\(\Rightarrow sđ\stackrel\frown{CBE}=\widehat{COB}+\widehat{BOE}=180^0-\widehat{AOC}+\widehat{BOE}\)
\(\Rightarrow sđ\stackrel\frown{CBE}=180^0-50^0+50^0=180^0\)
\(\Rightarrow\) CE là đường kính
\(\Rightarrow\) C, O, E thẳng hàng.
Lời giải:
a. Câu hỏi chưa rõ ràng
b. Vì số đo cung nhỏ AB bằng một nửa số đo cung lớn AB mà tổng số
đo 2 cung bằng $360^0$ nên số đo cung nhỏ $AB$ là $120^0$
Từ $O$ kẻ $OH\perp AB$ như hình. Tam giác $OAB$ cân tại $O$ nên đường cao $OH$ đồng thời là đường phân giác, trung tuyến.
Do đó: $\widehat{AOH}=\frac{1}{2}\widehat{AOB}=\frac{1}{2}.120^0=60^0$
$\frac{AH}{AO}=\sin \widehat{AOH}=\sin 60^0=\frac{\sqrt{3}}{2}$
$\Rightarrow AH=\frac{\sqrt{3}}{2}AO=\frac{\sqrt{3}}{2}R$
$\Rightarrow AB=2AH=\sqrt{3}R$
Hình vẽ:
![](data:image/png;base64,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)