Vector

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kiemro721119

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bigbang195

1;Cho tam giac ABC,diem O nam trong tam giac.GoiA1;B1;C1 lan luot la hinh chieu cua O tren BC,CA,AB.Lay cac diem A2;B2;C2 lan luot thuoc cac tia OA1,OB1,OC sao cho OA2=a,OB2=b,OC2=c.CM O la trong tam tam giac A2B2C2.

[TEX]\sum _{cyc} \vec{OA_2}=\sum_{cyc} \frac{OA_2}{OA_1}.\vec{OA_1}=\sum_{cyc} a.\frac{\vec{OA_1}}{OA_1}=0[/TEX]

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