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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABM và ΔACM có
AB=AC
\(\widehat{BAM}=\widehat{CAM}\)
AM chung
Do đó: ΔABM=ΔACM
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
Sửa đề: ΔBIM=ΔCKM
Xét ΔBIM vuông tại I và ΔCKM vuông tại K có
BM=CM(M là trung điểm của BC)
\(\widehat{IBM}=\widehat{KCM}\)(hai góc ở đáy của ΔABC cân tại A)
Do đó: ΔBIM=ΔCKM(cạnh huyền-góc nhọn)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Xét ΔABM và ΔACM có
AB=AC(ΔABC cân tại A)
AM chung
BM=CM(M là trung điểm của BC)
Do đó: ΔABM=ΔACM(c-c-c)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABM và ΔACM có
AB=AC
AM chung
BM=CM
Do đó: ΔABM=ΔACM
\(a,\) Xét \(\Delta ABM\) và \(\Delta ACM\) có:
\(AB=AC\) (giả thiết)
\(AM\) là cạnh chung
\(BM=CM\) (giả thiết)
\(\Rightarrow\Delta ABM=\Delta ACM\left(c.c.c\right)\)
\(b,\) Vì \(\Delta ABM=\Delta ACM\) (chứng minh câu \(a\))
\(\Rightarrow\widehat{BAM}=\widehat{CAM}\) (\(2\) góc tương ứng)
\(\Rightarrow AM\) là tia phân giác \(\widehat{BAC}\)
\(c,\) Vì \(\Delta ABC\) cân tại \(A\) (giả thiết)
Mà \(AM\) là tia phân giác \(\widehat{BAC}\) (chứng minh câu \(b\))
\(\Rightarrow AM\) là đường trung trực \(\Delta ABC\)
\(\Rightarrow AM\perp BC\) tại \(M\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Căng =))) Mà chỉ biết làm nếu có đường trung tuyến thôi âydaaa
Thôi để người khác làm nhé
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
mình ko biết xin lỗi bạn nha!
Lời giải:
Trên tia đối tia $MA$ lấy $D$ sao cho $MD=MA$
Dễ cm $\triangle BMA=\triangle CMD$ (c.g.c)
$\Rightarrow \widehat{MBA}=\widehat{MCD}$
Mà 2 góc này so le trong nên $BA\parallel CD$
$\Rightarrow CD\perp AC$ hay $\widehat{DCA}=90^0$
Cùng từ 2 tam giác bằng nhau trên suy ra $BA=CD$
Xét tam giác $BAC$ và $DCA$ có:
$BA=DC$
$\widehat{BAC}+\widehat{DCA}=90^0$
$AC$ chung
$\Rightarrow BC=DA$
Mà $DA=2AM$ nên $BC=2AM$
Hình vẽ:
![](data:image/png;base64,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)