Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
Gọi H là giao điểm của OC và AB, ΔAOB cân tại O (OA = OB, bán kính). OH là đường cao nên cũng là đường phân giác. Do đó:
Suy ra: CB vuông góc với OB, mà OB là bán kính của đường tròn (O)
⇒ CB là tiếp tuến của đường tròn (O) tại B. (điều phải chứng minh)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, ∆OAC = ∆OBC (c.g.c)
=> O B C ^ - O A B ^ = 90 0
=> đpcm
b, Sử dụng hệ thức lượng trong tam giác vuông OBC tính được OC=25cm
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Sửa đề: cắt tiếp tuyến tại A của đường tròn ở C
ΔOAB cân tại O
mà OC là đường cao
nên OC là phân giác của góc AOB
Xét ΔOAC và ΔOBC có
OA=OB
\(\widehat{AOC}=\widehat{BOC}\)
OC chung
Do đó: ΔOAC=ΔOBC
=>\(\widehat{OAC}=\widehat{OBC}=90^0\)
=>CB là tiếp tuyến của (O)
b:ΔOAC=ΔOBC
=>CB=CA
=>C nằm trên đường trung trực của AB(1)
OA=OB
=>O nằm trên đường trung trực của AB(2)
từ (1) và (2) suy ra OC là đường trung trực của BA
=>OC\(\perp\)AB
mà OC//AD
nên AB\(\perp\)AD
=>ΔABD vuông tại A
Ta có: ΔABD vuông tại A
=>ΔABD nội tiếp đường tròn đường kính DB
mà ΔABD nội tiếp (O)
nên O là trung điểm của DB
=>D,O,B thẳng hàng
Xét ΔAKD vuông tại K và ΔCAO vuông tại A có
\(\widehat{ADK}=\widehat{COA}\)(hai góc so le trong, AD//CO)
Do đó: ΔAKD\(\sim\)ΔCAO
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: ΔOCD cân tại O
mà OH là đường cao
nên OH là phân giác của góc COD
=>OM là phân giác của góc COD
=>\(\widehat{COM}=\widehat{DOM}\)
Xét ΔOCM và ΔODM có
OC=OD
\(\widehat{COM}=\widehat{DOM}\)
OM chung
Do đó: ΔOCM=ΔODM
=>\(\widehat{OCM}=\widehat{ODM}\)
mà \(\widehat{ODM}=90^0\)
nên \(\widehat{OCM}=90^0\)
=>MC là tiếp tuyến của (O)
![](https://rs.olm.vn/images/avt/0.png?1311)
CO cắt AB tại D
Vì \(OA=OB=R\Rightarrow\Delta OAB\) cân tại O có \(OD\bot AB\Rightarrow D\) là trung điểm AB
\(\Rightarrow\) A và B đối xứng qua OC \(\Rightarrow\left\{{}\begin{matrix}\angle OAB=\angle OBA\\\angle CAB=\angle CBA\end{matrix}\right.\)
\(\Rightarrow\angle OAB+\angle CAB=\angle OBA+\angle CBA\Rightarrow\angle CAO=\angle CBO\)
\(\Rightarrow\angle CBO=90\Rightarrow CB\) là tiếp tuyến
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta thấy OC là trung trực của AB nên ΔOAC = ΔOBC (c.c.c), duy ra góc OBC vuông. Do đó CB là tiếp tuyến của đường tròn.
b) AI = AB : 2 = 12 cm.
Tính được OI = 9 cm.
cm.
Lời giải:
Gọi $T$ là giao $OC$ và $AB$
Vì $OA=OB$ nên $OAB$ là tam giác cân tại $O$
$\Rightarrow$ đường cao $OT$ đồng thời là đường trung tuyến
$\Rightarrow T$ là trung điểm $AB$
Như vậy, $OC\perp AB$ tại trung điểm $T$ của $AB$ nên $OC$ là đường trung trực của $AB$
$\Rightarrow CA=CB$.
$\triangle CBO=\triangle CAO$ (c.c.c)
$\Rightarrow \widehat{CBO}=\widehat{CAO}=90^0$
$\Rightarrow CB\perp OB$ nên $CB$ là tiếp tuyến của $(O)$ tại $C$.
Hình vẽ:
![](data:image/png;base64,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)