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Giải bài tập 6 trang 64 SGK Toán 12 tập 1 - Chân trời sáng tạo

Cho các điểm A(–1; –1; 0), B(0; 3; –1), C(–1; 14; 0), D(–3; 6; 2). Chứng minh rằng ABCD là hình thang.

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

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Đề bài

 
 
 
 
Cho các điểm A(–1; –1; 0), B(0; 3; –1), C(–1; 14; 0), D(–3; 6; 2). Chứng minh rằng ABCD là hình thang.

Phương pháp giải - Xem chi tiết

Chứng minh ABCD có một cặp cạnh đối song song thì ABCD là hình thang
 

Lời giải chi tiết

Ta có: \(\overrightarrow {AB}  = (1;4; - 1)\) \(\overrightarrow {CD}  = ( - 2; - 8;2)\) => \( - 2\overrightarrow {AB}  = \overrightarrow {CD} \) => \(\overrightarrow {AB} //\overrightarrow {CD} \) => ABCD là hình thang
 

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