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Giải bài tập 4 trang 65 SGK Toán 12 tập 2 - Chân trời sáng tạo

Phần mềm mô phỏng thiết bị thám hiẻm đại dương có dạng hình cầu trong không gian (Oxyz). Cho biết toạ độ tâm mặt cầu là (Ileft( {360;200;400} right)) và bán kính (r = 2{rm{ m}}). Viết phương trình mặt cầu.

𝓡Tổng hợp đề thi học kì 2 lớp 12 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Hoá - Sinh - Sử - Địa
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Đề bài

Phần mềm mô phỏng thiết bị thám hiẻm đại dương có dạng hình cầu trong không gian \(Oxyz\). Cho biết toạ độ tâm mặt cầu là \(I\left( {360;200;400} \right)\) và bán kính \(r = 2{\rm{ m}}\). Viết phương trình mặt cầu.

Phương pháp giải - Xem chi tiết

Phương trình mặt cầu tâm \(I\left( {a;b;c} \right)\), bán kính \(R\) là\({\left( {x - a} \right)^2} + {\left( {y - b} \right)^2} + {\left( {z - c} \right)^2} = {R^2}\).

Lời giải chi tiết

Phương trình mặt cầu tâm \(I\left( {360;200;400} \right)\), bán kính \(R = 2\) là \({\left( {x - 360} \right)^2} + {\left( {y - 200} \right)^2} + {\left( {z - 400} \right)^2} = 4\)

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