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Vũ Hà Vy Anh

31/03/2017 at 21:45
Answers
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Given the square ABCD with side 20 cm . M is midpoint of the BC , N is midpoint on CD.The segment AM and the segment BN intersect each other at O . find the area of the quadrilateral ANOD A B C D O N M




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  • ...
    Nguyễn Đức Kiên 06/04/2017 at 17:15

    đúng là đề sai thật rồi . Nhìn nó cứ kì kì làm sao đấy .NhonhungNhonhungLolang

    Vũ Hà Vy Anh selected this answer.
  • ...
    Phan Thanh Tinh Coordinator 06/05/2017 at 09:53

    A B C D G N E O F

    Draw the altitudes AE,MF,NG as shown

    \(\dfrac{S_{\Delta ABN}}{S_{\Delta BMN}}=\dfrac{AB.NG}{2}:\dfrac{BM.NC}{2}=BC^2:\dfrac{BC}{2}:\dfrac{CD}{2}=4\)

    \(\Delta ABN,\Delta BMN\) also have the common base BN,so AE = 4MF

    \(\Delta ABO,\Delta BMO\) have the common base BO and the altitudes AE = 4MF,so \(S_{\Delta ABO}=4S_{\Delta BMO}\)

    \(\Rightarrow S_{\Delta ABO}=\dfrac{4}{1+4}\left(S_{\Delta ABO}+S_{\Delta BMO}\right)=\dfrac{4}{5}.S_{\Delta ABM}\) 

    \(=\dfrac{4}{5}.\dfrac{20.\left(20:2\right)}{2}=80\)(cm2)

    \(\Rightarrow S_{AOND}=S_{ABCD}-S_{\Delta ABO}-S_{\Delta BNC}\)

    = 20.20 - 80 - \(\dfrac{20.\left(20:2\right)}{2}\) = 220 (cm2)

  • ...
    Vũ Hà Vy Anh 06/04/2017 at 17:17

    ai bảo mình mới thi cấp thành phố hôm thứ 6 tuần trước nữa xong đó còn được cầm đề về mà

  • ...
    Nguyen Huu Ai Linh 10/12/2017 at 07:12

    You must speak English!

  • ...
    Nguyen Huu Ai Linh 10/12/2017 at 07:11

    gianroibatngoThe wrong thing is come...

  • ...
    Vũ Hà Vy Anh 02/04/2017 at 21:45

    ko          đề mk mới thi hôm thứ 6

  • ...
    Lê Dạ Quỳnh 01/04/2017 at 20:57

    đề bài có sai ko vậy


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