題組內容

10. The following figure shows a square based pyramid with vetices at O(0, 0, 0), A(1, 0, 0), B(1, 1, 0), C(0, 1, 0) and D(0, 0, 1).5ed70936453e5.jpg

The plane Π2 , passes through O and is normal to the line BD.(c) Find the Cartesian equation of Π2 . [2 分]

詳解 (共 1 筆)

詳解 提供者：浪漫名師na

BD向量為(-1,-1,1)

normal to the line BD故以BD向量為Π2法向量

得Π2平面方程式:-x-y+z=k

帶入O點(0,0,0)解k得k=0

Π2: x+y-z=0 (也可寫作-x-y+z=0)