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IB MAI HL Geometry & Trigonometry Topic 3.5 Geometric Transformations (id: b5866

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admin 发表于 2024-2-17 21:09:07 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.5 Geometric Transformations,类别为 IB数学

[填空题]
Consider the geometric transformati887+jpvdznt+kk6 gj1 y jk .zlon.1o+ k vjc0chlu wce:/;ep oj.cjm)v7
$\left(\begin{array}{l}
x^{\prime} \\
y^{\prime}
\end{array}\right)=\left(\begin{array}{cc}
3 & a \\
3 & b-3
\end{array}\right)\left(\begin{array}{l}
x \\
y
\end{array}\right)+\left(\begin{array}{c}
b \\
a-9
\end{array}\right) .$
that maps points from (x, y) to $\left(x^{\prime}, y^{\prime}\right)$ .
It is given that the transformation maps the point (4,-4) to the point (-4,-11) .
1. Show that a=6 and b=8 .
2. Given that the transformation maps the point (p, q) to itself, find the value of p and the value of q .
A rectangle R with vertices lying on the x y -plane undergoes this transformation. p =    q =   
3. Show that the area of the image is three times the size of R .




参考答案:
空格1: 5空格2: -3


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