Câu hỏi:

23/02/2025 41

Dựa vào thông tin sau và trả lời các câu hỏi từ câu 88 - 90:

Trong mặt phẳng $Oxyz$ , cho ba điểm $A (1; 2; 0), B (2; 1; 2), C (- 1; 3; 1)$ .

Phương trình mặt cầu bán kính BC.

A. $(S) : {(x - \frac{1}{2})}^{2} + {(y - 1)}^{2} + {(z - 2)}^{2} = 7$

B. $(S) : {(x - \frac{1}{2})}^{2} + {(y - 1)}^{2} + {(z - 2)}^{2} = \frac{7}{2}$

C. $(S) : {(x - \frac{1}{2})}^{2} + {(y - 2)}^{2} + {(z - \frac{3}{2})}^{2} = \frac{7}{2}$

Đáp án chính xác

D. $(S) : {(x - \frac{1}{2})}^{2} + {(y - 2)}^{2} + {(z - \frac{3}{2})}^{2} = 7$

Xem lời giải

Câu hỏi trong đề: (2025) Đề thi thử Đánh giá năng lực ĐHQG Hồ Chí Minh năm 2025 có đáp án (Đề 3) !!

Trả lời:

Giải bởi Vietjack

Đáp án đúng là C

Phương pháp giải

$\vec{CB} = (3; - 2; 1)$

Tâm mặt cầu là trung điểm BC.

Lời giải

Gọi I là trung điểm BC , khi đó $I (\frac{1}{2}; 2; \frac{3}{2})$ .

Ta có: $R = \frac{BC}{2} = \frac{\sqrt{3^{2} + {(- 2)}^{2} + 1^{2}}}{2} = \frac{\sqrt{14}}{2}$ .

Khi đó phương trình mặt cầu là: $(S) : {(x - \frac{1}{2})}^{2} + {(y - 2)}^{2} + {(z - \frac{3}{2})}^{2} = \frac{7}{2}$

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Xem thêm các câu hỏi khác »

Dựa vào thông tin sau và trả lời các câu hỏi từ câu 88 - 90:

Trong mặt phẳng $Oxyz$ , cho ba điểm $A (1; 2; 0), B (2; 1; 2), C (- 1; 3; 1)$ .

Phương trình mặt cầu bán kính BC.

Nhà sách VIETJACK:

It’s not the sort of show you’d watch from start to finish, but it’s fun to _____ every now and then.

Which of the following best serves as a title for the passage?

What could be the best title for the passage?

Lisa: There is a music concert next weekend. – John: That sounds great! Who __________ there?

The student’s efforts were commendable, but they still struggled with the final exam.

Handcrafted pottery from Mexico, paired with vintage lamps, have made Jason’s apartment the center of attention at the party.

Which of the following best restates each of the given sentences?

Despite his initial reluctance, John eventually embraced the new project.

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Dựa vào thông tin sau và trả lời các câu hỏi từ câu 88 - 90: Trong mặt phẳng Oxyz , cho ba điểm A1;2;0,B2;1;2,C−1;3;1 . Phương trình mặt cầu bán kính BC.

Nhà sách VIETJACK:

It’s not the sort of show you’d watch from start to finish, but it’s fun to _____ every now and then.

Which of the following best serves as a title for the passage?

What could be the best title for the passage?

Lisa: There is a music concert next weekend. – John: That sounds great! Who __________ there?

The student’s efforts were commendable, but they still struggled with the final exam.

Handcrafted pottery from Mexico, paired with vintage lamps, have made Jason’s apartment the center of attention at the party.

Which of the following best restates each of the given sentences? Despite his initial reluctance, John eventually embraced the new project.

Bình luận

🔥 Đề thi HOT:

VIP +3 tháng ( 199,000 VNĐ )

VIP +6 tháng ( 299,000 VNĐ )

VIP +12 tháng ( 499,000 VNĐ )

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Dựa vào thông tin sau và trả lời các câu hỏi từ câu 88 - 90:

Trong mặt phẳng $Oxyz$ , cho ba điểm $A (1; 2; 0), B (2; 1; 2), C (- 1; 3; 1)$ .

Phương trình mặt cầu bán kính BC.

Which of the following best restates each of the given sentences?

Despite his initial reluctance, John eventually embraced the new project.