Bài 1: Cho tam giác abc cân ở a , phân giác BD , BC=10cm , AB=15
a) tính AD , DC
b) đg phân giác ngoài b của tam giác abc cắt AC tại D' . Tính D'
cần phần b:((
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)
Vì BD là đường phân giác của \(\widehat{ABC}\) nên:
\(\frac{AD}{DC}=\frac{AB}{BC}\)(tính chất đường phân giác )
\(\Rightarrow\frac{AD}{AD+DC}=\frac{AB}{AB+BC}\)hay \(\frac{AD}{AC}=\frac{AB}{AB+BC}\)
Mà \(\Delta\)ABC cân tại A nên AC=AB=15cm
\(\Rightarrow\frac{AD}{15}=\frac{15}{15+10}\Rightarrow AD=\frac{15\cdot15}{25}=9\left(cm\right)\)
Vậy DC = AC – AD = 15 – 9 = 6 (cm)
EZ thôi,vài đường cơ bản;gộp lại cho nó máu ! À mà tính BD chứ nhỉ ??
Kẻ CE là phân giác góc C cắt BD tại E
Đặt EC=x thì BE=x;đặt ED=y
Áp dụng tính chất đường phân giác ta có:
\(\frac{DA}{DC}=\frac{AB}{BC}=\frac{15}{10}=\frac{3}{2}\left(cm\right)\) khi đó \(DA=3a;DC=2a\)
Ta có:\(15=AC=DA+DC=3a+2a=5a\Rightarrow a=3\)
\(\Rightarrow DA=9;DC=6\)
Dễ thấy \(\Delta EDC~\Delta CDB\left(g.g\right)\Rightarrow\frac{ED}{CD}=\frac{DC}{DB}=\frac{EC}{CB}\)
hay \(\frac{y}{6}=\frac{6}{BD}=\frac{x}{10}=\frac{x+y}{10+6}=\frac{x+y}{16}=\frac{BD}{16}\)
\(\Rightarrow BD^2=96\Rightarrow BD=\sqrt{96}\) số khá xấu,ko bt có nhầm lẫn đâu chăng ??
1)
Kẻ AH là đường cao của ABC
Ta có :\(S_{ABCD}=\frac{1}{2}.AH.BD ; S_{ADC}=\frac{1}{2}.AH.CD\)
\(\Rightarrow\frac{S_{ABC}}{S_{ADC}}=\frac{\frac{1}{2}.AH.BD}{\frac{1}{2}.AH.CD}=\frac{BD}{CD}\left(1\right)\)
\(\Delta ABC\)có AD là tia phân giác
\(\Rightarrow\frac{BD}{CD}=\frac{AB}{AC}\left(2\right)\)
Từ (1)(2)
\(\Rightarrow\frac{S_{ABCD}}{S_{ACD}}=\frac{AB}{AC}=\frac{m}{n}\)
Vậy tỉ số của tam giác ABD và ACD là \(\frac{m}{n}\)
Lời giải:
a. Vì $ABC$ cân tại $A$ nên $AC=AB=15$
Theo tính chất tia phân giác: $\frac{AD}{DC}=\frac{AB}{BC}=\frac{15}{10}=\frac{3}{2}$
$\Leftrightarrow \frac{AD}{AC}=\frac{3}{5}$
$\Leftrightarrow \frac{AD}{15}=\frac{3}{5}$
$\Rightarrow AD=9$
$DC=AC-AD=15-9=6$
b. Tính D' gì hả bạn? D'C hay D'B, D'A?
Theo tính chất phân giác ngoài:
$\frac{D'C}{D'A}=\frac{BC}{BA}=\frac{10}{15}=\frac{2}{3}$
$\Leftrightarrow \frac{D'C}{D'C+CA}=\frac{D'C}{D'C+15}=\frac{2}{3}$
$\Rightarrow 3D'C=2(D'C+15)$
$\Rightarrow D'C=30$ (cm)
Hình vẽ:
![](data:image/png;base64,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)