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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 10: Cho 6 điểm A,B,C,D,E,F chứng minh rằng: Vecto AD+ vecto BE + vecto CF= vecto AE+ vecto BF+ vecto CD.

Toán Lớp 10: Cho 6 điểm A,B,C,D,E,F chứng minh rằng:
Vecto AD+ vecto BE + vecto CF= vecto AE+ vecto BF+ vecto CD.

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    $\overrightarrow{AD}+\overrightarrow{BE}+\overrightarrow{CF}\\=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}\\\text{đặt }VT=\overrightarrow{AE}+\overrightarrow{ED}+\overrightarrow{BF}+\overrightarrow{FE}+\overrightarrow{CD}+\overrightarrow{DF}\\=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{ED}+\overrightarrow{DF}+\overrightarrow{FE}\\=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{EF}+\overrightarrow{FE}\\=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{O}=VP\\→ đpcm$

  2. $\overrightarrow{AD}+\overrightarrow{BE}+\overrightarrow{CF}=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}$
    $VT=\overrightarrow{AE}+\overrightarrow{ED}+\overrightarrow{BF}+\overrightarrow{FE}+\overrightarrow{CD}+\overrightarrow{DF}=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{ED}+\overrightarrow{DF}+\overrightarrow{FE}=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{EF}+\overrightarrow{FE}=\overrightarrow{AE}+\overrightarrow{BF}+\overrightarrow{CD}+\overrightarrow{O}=VP\\ \Rightarrow ĐPCM$

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222-9+11+12:2*14+14 = ? ( )