Tam giác ABC có diện tích bằng 30cm2. Điểm D thuộc AC sao cho AD=\(\dfrac{1}{3}\) AC, E là trung điểm AB.Tính diện tích tứ giác BEDC.
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
AE=1/2AC
=>\(S_{ABE}=\dfrac{1}{2}\cdot S_{ABC}\)
=>\(S_{ABE}=\dfrac{1}{2}\cdot30=15\left(cm^2\right)\)
AD+BD=AB
=>\(AD+2AD=AB\)
=>3AD=AB
=>\(AD=\dfrac{1}{3}AB\)
=>\(S_{ADE}=\dfrac{1}{3}\cdot S_{ABE}=\dfrac{1}{3}\cdot15=5\left(cm^2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt SAKE = x, SAKD = y
Ta có SBKE = 2x, SCKD = y.
Ta có:
S A B D = 15 c m 2 ⇒ 3 x + y = 15 ( 1 ) S A C E = 10 c m 2 ⇒ x + 2 y = 10 ( 2 )
Þ x = 4cm2, y = 3cm2
Þ SADKE = 7cm2
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
SAME = 1/3 SAMC
Mà SAMC = SAMB (Vì SBMD = SCMD và SABD = SACD)
=> SAME = 1/4 SABE (1)
Mà SABE = 1/3 SABC (2)
Từ (1) và (2) => SAME = (1/4 x 1/3) SABC = 1/12 SABC = 600 :12 = 50 cm2
![](https://rs.olm.vn/images/avt/0.png?1311)
Nhân dịp đầu năm học mới,cửa hàng đã giảm giá 25% so với giá ban đầu.mẹ mua cho lan cái cặp sách hết 150.000 đồng.hỏi giá ban đầu của cái cặp sách đó là bao nhiêu?
giúp mik nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
`bạn tự kẻ hình nhé
ta đễ dàng cm dk DM=CM
Từ đó ta có SAMD=1/2 SDAC=1/3 SABC
SBDM = 1/2SBDC= 1/6 SABC
Suy ra SABM=(1/3+1/6)SABC= 1/2SABC= 15m^2
Lời giải:
$\frac{S_{ADE}}{S_{ABD}}=\frac{AE}{AB}=\frac{1}{2}$
$\frac{S_{ABD}}{S_{ABC}}=\frac{AD}{AC}=\frac{1}{3}$
Nhân theo vế thì: $\frac{S_{ADE}}{S_{ABC}}=\frac{1}{6}$
$\Rightarrow S_{ADE}=\frac{1}{6}.S_{ABC}=\frac{1}{6}.30=5$ (cm2)
$S_{BEDC}=S_{ABC}-S_{ADE}=30-5=25$ (cm2)
Hình vẽ:
![](data:image/png;base64,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)