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![](https://rs.olm.vn/images/avt/0.png?1311)
a) Xét 2 tam giác vuông tam giác ABD và tam giác ACE ta có:
AB = AC (GT)
Góc BAC: chung
=> Tam giác ABD = Tam giác ACE (c.h - g.n)
=> BD = CE (2 cạnh tương ứng)
b) Tam giác ABD = Tam giác ACE (cmt)
=> AD = AE (2 cạnh tương ứng)
Xét 2 tam giác vuông tam giác AEO và tam giác ADO ta có:
AD = AE (cmt)
OA: cạnh chung
=> Tam giác AEO = tam giác ADO (c.h - c.g.v)
=> Góc EAO = Góc DAO (2 góc tương ứng)
=> AO là phân giác của góc EAD
Hay: AO là phân giác của góc BAC
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABD vuông tại D và ΔACE vuông tại E có
AB=AC
\(\widehat{A}\) chung
Do đó: ΔABD=ΔACE
Suy ra: BD=CE
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔEBC vuông tại E và ΔDCB vuông tại D có
BC chung
\(\widehat{EBC}=\widehat{DCB}\)
Do đó: ΔEBC=ΔDCB
Suy ra: EC=DB
b: Xét ΔOEB vuông tại E và ΔODC vuông tại D có
EB=DC
\(\widehat{EBO}=\widehat{DCO}\)
Do đó:ΔOEB=ΔODC
c: Ta có: ΔOEB=ΔODC
nên OB=OC
Xét ΔAOB và ΔAOC có
AO chung
OB=OC
AB=AC
Do đó: ΔAOB=ΔAOC
Suy ra: \(\widehat{BAO}=\widehat{CAO}\)
hay AO là tia phân giác của góc BAC
![](https://rs.olm.vn/images/avt/0.png?1311)
(Bạn tự vẽ hình nha!)
a) Xét tam giác ABD vuông tại D và tam giác ACE vuông tại E có:
AB=AC (gt)
A là góc chung
Do đó, ............... (ch-gn)
=> BD=CE (2 cạnh tương ứng)
b) Vì AB=AC nên tam giác ABC là tam giác cân tại A => B=C => B1 + B2 = C1 + C2
Mà B1 = C1 (vì tam giác ABD= tam giác ACE) nên B2= C2
Xét tam giác BEC vuông tại E và tam giác CDB vuông tại D có:
BD=CE (cmt)
B2= C2 (cmt)
Do đó,.......... (ch-gn)
=> BE=DC (2 cạnh tương ứng)
Xét tam giác OBE vuông tại E và tam giác OCD vuông tại D có:
BE= DC (cmt)
B1 = C1 (cmt)
Do đó tam giác OBE= tam giác OCD (cgv-gnk)
c) Ta có: AB=AC (gt) => AE+EB= AD+DC
Mà BE=DC (cmt) nên AE=AD
Xét tam giác ADO và tam giác AEO có:
EO=OD ( vì tam giác OBE= tam giác OCD)
AE=AD (cmt)
AO là cạnh chung
Do đó,.................(c.c.c)
=> A1= A2 ( 2 góc tương ứng)
=> AO là tia phân giác góc A
Vậy AO là tia phân giác góc BAC.
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔADB vuông tại D và ΔAEC vuông tại E có
AB=AC
\(\widehat{BAD}\) chung
Do đó: ΔADB=ΔAEC
=>BD=CE
b: ΔABD=ΔACE
=>\(\widehat{ABD}=\widehat{ACE}\)
=>\(\widehat{OBE}=\widehat{OCD}\)
ΔABD=ΔACE
=>AD=AE
AE+EB=AB
AD+DC=AC
mà AE=AD và AB=AC
nên EB=DC
Xét ΔOEB vuông tại E và ΔODC vuông tại D có
EB=DC
\(\widehat{OBE}=\widehat{OCD}\)
Do đó: ΔOEB=ΔODC
c: ΔOEB=ΔODC
=>OB=OC
Xét ΔABO và ΔACO có
AB=AC
BO=CO
AO chung
Do đó: ΔABO=ΔACO
=>\(\widehat{BAO}=\widehat{CAO}\)
=>AO là phân giác của góc BAC
d: Ta có: ΔABC cân tại A
mà AH làđường trung tuyến
nên AH là phân giác của góc BAC
mà AO là phân giác của góc BAC(cmt)
và AO,AH có điểm chung là A
nên A,O,H thẳng hàng
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 4:
Gọi số máy 3 đội lần lượt là \(a,b,c(a,b,c\in \mathbb{N^*})\)
Áp dụng tc dtsbn:
\(3a=4b=6c\Rightarrow\dfrac{3a}{12}=\dfrac{4b}{12}=\dfrac{6c}{12}\\ \Rightarrow\dfrac{a}{4}=\dfrac{b}{3}=\dfrac{c}{2}=\dfrac{a-b}{4-2}=\dfrac{2}{2}=1\\ \Rightarrow\left\{{}\begin{matrix}a=4\\b=3\\c=2\end{matrix}\right.\)
Vậy ...
Lời giải:
a. Xét tam giác $ABD$ và $ACE$ có:
$\widehat{A}$ chung
$\widehat{ADB}=\widehat{AEC}=90^0$
$AB=AC$ (gt)
$\Rightarrow \triangle ABD=\triangle ACE$ (ch-gn)
$\Rightarrow BD=CE$
b. Từ tam giác bằng nhau phần a suy ra $AD=AE$
Mà $AB=AC$
$\Rightarrow AB-AE=AC-AD$ hay $BE=CD$
Xét tam giác $OEB$ và $ODC$ có:
$\widehat{EOB}=\widehat{DOC}$ (đối đỉnh)
$\widehat{OEB}=\widehat{ODC}=90^0$
$EB=DC$ (cmt)
$\Rightarrow \triangle OEB=\triangle ODC$ (ch-cgv)
c.
Từ tam giác bằng nhau phần b suy ra $OB=OC$
Xét tam giác $ABO$ và $ACO$ có:
$AO$ chung
$AB=AC$ (gt)
$BO=CO$ (cmt)
$\Rightarrow \triangle ABO=\triangle ACO$ (c.c.c)
$\Rightarrow \widehat{BAO}=\widehat{CAO}$
$\Rightarrow AO$ là tia phân giác $\widehat{BAC}$ (đpcm)
Hình vẽ:
![](data:image/png;base64,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)