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Giải bài 1 trang 10 sách bài tập toán 11 - Cánh diều

Trên đường tròn lượng giác lấy điểm \(M\) sao cho \(\left( {OA,OM} \right) = {40^o}\).

ꦕTổng hợp đề thi học kì 2 lớp 11 tất cả các môn - Cánh diều

Toán - Văn - Anh - Lí - Hóa - Sinh
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Đề bài

Trên đường tròn lượng giác lấy điểm \(M\) sao cho \(\left( {OA,OM} \right) = {40^o}\). Gọi \(M'\) là điểm đối xứng với \(M\) qua gốc toạ độ. Khi đó số đo của góc lượng giác \(\left( {OA,OM'} \right)\) bằng: A. \({40^o} + k{360^o}\)                                              B. \({140^o} + k{360^o}\) C. \({220^o} + k{360^o}\)                                            D. \({50^o} + k{360^o}\)

Phương pháp giải - Xem chi tiết

Tính số đo \(\left( {OM,OM'} \right)\) Sử dụng hệ thức Chasles: \(\left( {OA,OM'} \right) = \left( {OA,OM} \right) + \left( {OM,OM'} \right) + k{360^o}\)

Lời giải chi tiết

Ta có \(\left( {OA,OM} \right) = {40^o}\).Do \(M'\) đối xứng với \(M\) qua \(O\), ta suy ra \(\left( {OM,OM'} \right) = {180^o}\)Do đó, \(\left( {OA,OM'} \right) = \left( {OA,OM} \right) + \left( {OM,OM'} \right) + k{360^o} = {220^o} + k{360^o}\)Đáp án đúng là C.

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