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Giải câu hỏi mở đầu trang 50 SGK Toán 12 tập 2 - Cánh diều

Người ta muốn sản xuất một chi tiết máy được cắt ra từ một ống trụ thép bằng gia công cơ khí chính xác (Hình 1). Để làm chi tiết máy đó, người ta cần xác định phương trình của mặt cắt trong một hệ tọa độ thích hợp và đưa những dữ liệu đó vào hệ thống máy tính điều khiển các máy gia công cơ khí kĩ thuật số.

🌠Tổng hợp đề thi học kì 2 lớp 12 tất cả các môn - Cánh diều

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

Người ta muốn sản xuất một chi tiết máy được cắt ra từ một ống trụ thép bằng gia công cơ khí chính xác (Hình 1). Để làm chi tiết máy đó, người ta cần xác định phương trình của mặt cắt trong một hệ tọa độ thích hợp và đưa những dữ liệu đó vào hệ thống máy tính điều khiển các máy gia công cơ khí kĩ thuật số. Trong không gian với hệ tọa độ Oxyz, phương trình của mặt phẳng là gì? Làm thế nào để lập được phương trình của mặt phẳng?

Phương pháp giải - Xem chi tiết

Sử dụng kiến thức đã học.

Lời giải chi tiết

Trong không gian với hệ tọa độ Oxyz, mỗi mặt phẳng (P) có phương trình dạng Ax + By + Cz + D = 0, trong đó A, B, C không đồng thời bằng 0. Để lập được phương trình của mặt phẳng ta cần biết một điểm nằm trên mặt phẳng và biết vectơ pháp tuyến (hoặc cặp vectơ chỉ phương) của mặt phẳng.

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