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Giải bài 6 trang 87 SGK Toán 10 tập 1 – Chân trời sáng tạo

Gọi O là tâm hình lục giác đều ABCDEF.

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Đề bài

Gọi O là tâm hình lục giác đều ABCDEF.

a) Tìm các vectơ khác vectơ \(\overrightarrow 0 \) và cùng hướng với vectơ \(\overrightarrow {OA} \). b) Tìm các vectơ bằng vectơ \(\overrightarrow {AB} \).

Phương pháp giải - Xem chi tiết

a)

Bước 1: Xác định các cạnh song song hoặc trùng với cạnh OA

Bước 2: Chỉ ra các vectơ cùng hướng với vectơ \(\overrightarrow {OA} \) b) 

Bước 1: Xác định các cạnh song song hoặc trùng cạnh AB

Bước 2: Chỉ ra các vectơ có cùng hướng với vectơ \(\overrightarrow {AB} \)

Bước 3: Trong đó, kết luận các vectơ có độ dài bằng cạnh AB

Lời giải chi tiết

a) Ta có: AO // BC // EFSuy ra các vectơ khác vectơ khác vectơ \(\overrightarrow 0 \) và cùng hướng với vectơ \(\overrightarrow {OA} \) là : \(\overrightarrow {DO} ,\overrightarrow {DA} ,\overrightarrow {CB} ,\overrightarrow {EF} \)b) Ta có: \(OA = OB = OC = OD = OE = FO\) và AB // FC // ED

Suy ra các vectơ bằng vectơ \(\overrightarrow {AB} \) là \(\overrightarrow {FO} ,\overrightarrow {OC} ,\overrightarrow {ED} \)

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