Bài 6: Cho tam giác ABC có diện tích = 18 cm2. Biết D nằm trên AB sao cho DA = 2. DB, E nằm trên AC sao cho EC =3. EA và M là trumg điểm của BC . Tính tổng diện tích của hai tam giác MBD và MCE
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta thấy SABC= 5/2 SABD ( vì đáy BC = 5/2 BD chung chiều cao hạ từ A xuống đáy BC)
SABC = 8 x 5/2 = 20 cm2
Đáp số : 20 cm2
Ta thấy :
SABC = 5/2 SABD ( vì đáy BC = 5/2 BD chung chiều cao hạ từ A xuống đáy BC)
SABC = 8 x 5/2 = 20 cm2
Đáp số : 20 cm2
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: BM = 1/5 BC hay CM = 4/5 BC ---> S. ACM = 4/5 S.ABC = 400 cm2.
Mặt khác: AN = 3/4 AC --> S.AMN = 3/4 S.ACM = 300 cm2
Lại có: NP = 2/3 MN hay MP = 1/3 MN --> S.AMP = 1/3 S.AMN = 100 cm2.
vậy S.AMP = 100cm2
Nối B với D, C với K
xét tam giác KAD và tam giác KAC có chung chiều cao xuất phát từ K, đáy AD = 1/3 đáy AC
nên SBAD = 1/3 x SBAC
1/3 x SBAC mà SKBC = SKAC + SBAC
nên 1/3 x SKBC = 1/3 x SKAC + 1/3 x SBAC
mặt khác, SKAD + SBAD = SKBD nên SKBD = 1/3 x SKBC
ta có :SKBC = 2 x SKBE (hai tam giác chung chiều cao hạ từ KB, đáy BC = 2x đãy BE)
nên SKBD = 2/3 x SKBE
mà hai tam giác KBD và KBE có chung chiều cao hạ từ đỉnh B nên SEBD = 1/3 x SKBE hay SKBE = 3 x SEBD
Mà SEBD = 1/2 x SBDC = 1/2 x (2/3 x SABC) = 1/3 x SABC = 1/3 x 180
= 60 vậy SKBE = 3 x SEBD = 180 SABED = SABC - SDEC
= 180 - 60 = 120 Vậy SAKD = SKBE - SABED
= 180 -120 = 60 cm vuông
![](https://rs.olm.vn/images/avt/0.png?1311)
Kẻ \(AH\perp BC\)
Ta có:
\(DK=\frac{1}{3}AH\)
\(EI=\frac{3}{4}AH\)
\(\Rightarrow\left(AH//DK//EI\right)\)
\(S_{DBM}+S_{MCE}=S_{ABC}=\left(\frac{1}{3}.\frac{1}{2}+\frac{1}{2}.\frac{3}{4}\right)=\frac{39}{4}\left(cm^2\right)=9,75\left(cm^2\right)\)
SMEC=3/4 SAMC= 1/2 x 3 x 4 SABC=3/8 SABC
SDBM=1/3SAMB=1/3 x 1/2SABC=1/6 SABC
=> SDBM+SMEC=(3/8 + 1/6) SABC
=> SDBM+SMEC=(3/8 + 1/6) x 18
=>SDBM+SMEC = 29,25 cm2
Lời giải:
Ta có:
\(\frac{S_{MBD}}{S_{MBA}}=\frac{BD}{BA}=\frac{BD}{BD+DA}=\frac{BD}{BD+2\times BD}=\frac{BD}{3\times BD}=\frac{1}{3}\)
\(\frac{S_{MBA}}{S_{BAC}}=\frac{BM}{BC}=\frac{1}{2}\)
\(\Rightarrow \frac{S_{MBD}}{S_{BAC}}=\frac{1}{3}\times \frac{1}{2}=\frac{1}{6}\)
\(S_{MBD}=\frac{1}{6}\times S_{ABC}=3\) (cm2)
Lại có:
\(\frac{S_{MCE}}{S_{MCA}}=\frac{EC}{AC}=\frac{3\times EA}{EA+3\times EA}=\frac{3\times EA}{4\times EA}=\frac{3}{4}\)
\(\frac{S_{MCA}}{S_{BAC}}=\frac{MC}{BC}=\frac{1}{2}\)
\(\frac{S_{MCE}}{S_{BAC}}=\frac{3}{4}\times \frac{1}{2}=\frac{3}{8}\)
\(S_{MCE}=\frac{3}{8}\times 18=6,75\) (cm2)
Như vậy: \(S_{MBD}+S_{MCE}=3+6,75=9,75\) (cm2)
Hình vẽ:
![](data:image/png;base64,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)