Trong không gian oxyz , cho a 1; 1;1, b3;1;1 . phương trình mặt phẳng trung trực của đoạn ab là.

Trong không gian Oxyz, cho A1; 2; 2, B3;− 2; 0 . Mặt phẳng trung trực của đoạn thẳng AB có phương trình là

A.x−2y−2z=0.

B.x−2y−z−1=0.

C.x−2y+z−3=0.

D.x−2y−z=0.

Đáp án và lời giải

Đáp án:B

Lời giải:Lời giải
Chọn B
Mặt phẳng trung trực của đoạn thẳng AB nhận vectơ AB→=2; −4; −2 làm vectơ pháp tuyến và đi qua trung điểm I2; 0; 1 của đoạn AB nên có phương trình là
2x−2−4y−2z−1=0⇔x−2y−z−1=0.

Vậy đáp án đúng là B.

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Bài tập trắc nghiệm 45 phút Phương trình mặt phẳng trong không gian - Toán Học 12 - Đề số 1

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