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  • Câu hỏi mở đầu trang 81

    Hình 38 mô tả một mặt cầu trong không gian. Trong không gian với hệ tọa độ Oxyz, phương trình của mặt cầu được lập như thế nào? ෴ Xem chi tiết
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  • Câu hỏi mục 1 trang 81, 82

    Hình 38 mô tả một mặt cầu trong không gian. Trong không gian với hệ tọa độ Oxyz, phương trình của mặt cầu được lập như thế nào? ও Xem lời giải

  • Câu hỏi mục 2 trang 82, 83

    Cho hai điểm M(x; y; z) và I(a; b; c). a) Viết công thức tính khoảng cách giữa hai điểm M và I. b) Nêu mối liên hệ giữa x, y và z để M nằm trên mặt cầu tâm I bán kính R. ꩲ Xem lời giải

  • Câu hỏi mục 3 trang 85

    Trong Ví dụ 6, giả sử người đi biển di chuyển theo đường thẳng từ vị trí I(21; 35; 50) đến vị trí D (5 121; 658; 0). Tìm vị trí cuối cùng trên đoạn ID sao cho người đi biển còn có thể nhìn thấy được ánh sáng từ ngọn hải đăng. ꩵ Xem lời giải

  • Bài 1 trang 85

    Tâm của mặt cầu (S): \({\left( {x - 2} \right)^2} + {\left( {y - 3} \right)^2} + {\left( {z + 4} \right)^2} = 16\) có tọa độ là: A. \(\left( { - 2; - 3;4} \right)\). B. \(\left( {2;3; - 4} \right)\). C. \(\left( {2; - 3; - 4} \right)\). D. \(\left( {2; - 3;4} \right)\). 🉐 Xem lời giải

  • Bài 2 trang 85

    Bán kính của mặt cầu (S): \({\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 3} \right)^2} = 9\) có tọa độ là A. 3. B. 9. C. 81. D. \(\sqrt 3 \). 🌟 Xem lời giải

  • Bài 3 trang 86

    Mặt cầu (S) tâm I(-5; -2; 3) bán kính 4 có phương trình là: A. \({\left( {x - 5} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 3} \right)^2} = 4\). B. \({\left( {x - 5} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z + 3} \right)^2} = 16\). C. \({\left( {x + 5} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z - 3} \right)^2} = 4\). D. \({\left( {x + 5} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z - 3} \right)^2} = 16\). ꦉ Xem lời giải

  • Bài 4 trang 86

    Cho mặt cầu có phương trình \({\left( {x - 1} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z - 7} \right)^2} = 100\). a) Xác định tâm và bán kính của mặt cầu. b) Mỗi điểm A(1; 1; 1), B(9; 4; 7), C(9; 9; 10) nằm trong, nằm ngoài hay nằm trên mặt cầu đó? 🐎 Xem lời giải

  • Bài 5 trang 86

    Cho phương trình \({x^2} + {y^2} + {z^2} - 4x - 2y - 10z + 2 = 0\). Chứng minh rằng phương trình trên là phương trình của một mặt cầu. Xác định tâm và bán kính của mặt cầu đó. ✤ Xem lời giải
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