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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Ta có: ΔABC cân tại A
mà AH là đường cao ứng với cạnh đáy BC
nên H là trung điểm của CB
Xét ΔBDC có
H là trung điểm của BC
N là trung điểm của BD
Do đó: HN là đường trung bình của ΔBDC
Suy ra: HN//DC và \(HN=\dfrac{DC}{2}\)
b: Xét ΔANH có
M là trung điểm của AH
MD//NH
Do đó: D là trung điểm của AN
Suy ra: AD=DN
mà DN=NB
nên AD=DN=NB
Suy ra: \(AD=\dfrac{AD+DN+NB}{3}=\dfrac{AB}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tự vẽ hình nha
a) VÌ tam giác ABC cân tại A mà AH là dduongf cao
=> AH là trung trực , trung tuyến , phân giác , dduongf cao
vì AH là trung tuyến
=> BH = HC
mà ND = NB
=> NH là đường trung bình của tam giác BDC
=> NH // DC hay NH // DM
b) Vì NH // DM
AM = MH
=> AD = DN
mà DN = BN
=> AD = DN = BN
=> AD \(=\frac{1}{3}\)AB
Vì AD = DN ( cmt )
AM = MH ( GT )
=> DM là đường trung bình của tam giác ANH
=> DM = \(\frac{1}{2}\)HN
Study well
![](https://rs.olm.vn/images/avt/0.png?1311)
a) +Xét △ABC có:
△ABC cân tại A. (gt)
AH là đường cao. (gt)
⇒ AH là đường trung tuyến.
⇒ H là trung điểm BC.
+Xét △BDC có:
N là trung điểm BD. (gt)
H là trung điểm BC. (cmt)
⇒ HN là đường trung bình của △BDC.
⇒ HN // DC; HN = 1/2.DC
b) +Xét △AHN có:
M là trung điểm AH. (gt)
DM // NH (NH // DC; M ∈ DC)
D ∈ AN
⇒ D là trung điểm AN.
⇒AD=DN.
Mà DN=NB (N trung điểm BD)
⇒ AD= 1/3. AB ( AD+DN+NB=AB )
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2
gọi E là trung điểm của KB
Vì tam giác CKB có BM=MC ; BE=EK
=>EM//KC
Vì tam giác ENM có AN=AM ; KA//EM
=>EK=KN
Vì KN=KE=EB=>NK=1/2KB
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài này ko khó đâu. Mình gợi ý nhé.
a, Tam giác ABC cân tại A có AH là đường cao nên AH là đường trung tuyến
Suy ra: H là trung điểm của BC
HN là đường trung bình của tam giác BDC nên HN song song với DC
b, Tam giác AHN có M là trung điểm của AH và HN song song với DM.
Do đó: D là trung điểm của AN
Ta có: AD =DN
DN =NB
AD +DN+NB =AB
Vậy AD =1/3 AB.
Chúc bạn học tốt.
![](https://rs.olm.vn/images/avt/0.png?1311)
Từ H, kẻ đường thẳng song song với DC cắt AB tại I
Xét ΔBDC có
H là trung điểm của BC(gt)
HI//CD(gt)
Do đó: I là trung điểm của BD(Định lí 1 về đường trung bình của tam giác)
Xét ΔAHI có
M là trung điểm của AH(gt)
MD//IH(gt)
Do đó: D là trung điểm của AI(Định lí 1 về đường trung bình của tam giác)
Ta có: D là trung điểm của AI(cmt)
nên AD=DI
Ta có: I là trung điểm của BD(cmt)
nên ID=BI
Ta có: AD+DI+BI=AB
nên 3AD=AB
hay \(AD=\dfrac{1}{3}AB\)
Ta có: AD+BD=AB(D nằm giữa A và B)
nên \(BD=AB-AD=AB-\dfrac{1}{3}AB=\dfrac{2}{3}AB\)
Ta có: \(\dfrac{BD}{AD}=\dfrac{2\cdot AB}{3}:\dfrac{1\cdot AB}{3}\)
\(\Leftrightarrow\dfrac{BD}{AD}=\dfrac{2\cdot AB}{AB}=2\)
nên BD=2AD
a,![](data:image/png;base64,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)
\(\Delta ABC\) cân tại A có AH là đường cao nên đồng thời là trung trực
\(=>BH=HC\)
mà N là trung điểm BD\(=>BN=ND\)
=>\(HN\) là đường trung bình \(\Delta BCD\)\(=>HN//DC\)
b,từ ý a \(=>DM//HN\) mà M là trung điểm AH
=>AD=DN
mà DN=BN=>AD=DN=BN
mà AD+DN+BN=AB\(=>AD=\dfrac{1}{3}AB\)