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Giải bài 7.61 trang 50 sách bài tập toán 10 - Kết nối tri thức với cuộc sống

Hỏi hai người nói thì thầm qua lại với nhau thì sẽ cách trung tâm của phòng bao nhiêu mét? Theo đơn vị đo lường quốc tế, 1 feet = 0,3048 m.

ꦚTổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Hình vẽ bên minh họa một phòng thì thầm (whispering gallery) với mặt cắt ngang là một hình bán elip với chiều cao 24 feet và chiều rộng 80 feet. Một âm thanh được phát ra từ một tiêu điểm của phòng thì thầm có thể được nghe thấy tại tiêu điểm còn lại. Hỏi hai người nói thì thầm qua lại với nhau thì sẽ cách trung tâm của phòng bao nhiêu mét? Theo đơn vị đo lường quốc tế, 1 feet = 0,3048 m.

Phương pháp giải - Xem chi tiết

+ Tìm a, b trong phương trình chính tắc Elip + Tính \(c = \sqrt {{a^2} - {b^2}} \)

Lời giải chi tiết

Mặt cắt của phòng thì thầm là một nửa elip có \(a = 40,b = 24\) nên \(c = \sqrt {{{40}^2} - {{24}^2}}  = 32\)\(\Rightarrow \) Nếu 1 người nói chuyện với nhau thì trong phòng thi sẽ cách trung tâm phòng là 32 feet = 9,7536 m.
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Ph/hs Tham Gia Nhóm Để Cập Nhật Điểm Thi, Điểm Chuẩn Miễn Phí

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