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IB MAI HL Geometry & Trigonometry Topic 3.6 Vectors (id: ff2ff06d8)

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admin 发表于 2024-2-18 22:41:33 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.6 Vectors,类别为 IB数学

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The Great Pyramid of Giza can be hi(*,kigx 0my moa( v* t ;zwgohy+ltk;-delled by a right-pyramid with a square base. A scale model of the Great Pyramid of Gizak*ty wloghv(-;;+ zt a is shown below.



The vertices $\mathrm{A}$, $\mathrm{B}$ and $\mathrm{C}$ have coordinates $\mathrm{A}$(1,5.5,0), $\mathrm{B}$(6.5,0,7) and $\mathrm{C}$(12,5.5,0) relative to a fixed origin O near the pyramid. All distances are measured in centimetres.
1. 1. Find $\overrightarrow{\mathrm{AB}}$ .
2. Find $\overrightarrow{\mathrm{AC}}$ .
2. Find $\overrightarrow{\mathrm{AB}} \times \overrightarrow{\mathrm{AC}}$ .
3. Hence, or otherwise, find the surface area of the scale model, not including the base. ≈    $cm^2$




参考答案: 196±2%


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