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IB MAI HL Geometry & Trigonometry Topic 3.3 Voronoi Diagrams (id: 4a1233956)

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admin 发表于 2024-2-8 21:21:51 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Geometry & Trigonometry Topic 3.3 Voronoi Diagrams,类别为 IB数学

[填空题]
Cellular phone towers in a town are rept qpb15ql5hfe q1 ,6xgresented by the points P, Q, u-*bb t: - 5meaovle8mv 2 vlihpnjs/7- 4imk1R, and S (not sot4ni-m/1b ms7-e5 vaplb jilu:vk 2* 8ev m-hhown) in the partially complete Voronoi diagram shown below. The regions created by the diagram represent the phone coverage provided by each tower.



1.Write down the coordinates of the missing phone tower S. (a,b) a=   b=  
2.Calculate the coverage area provided by phone tower Q. A =    $km^2$
3.Find the gradient of the edge of Voronoi diagram between towers Q and R. $m_{e,QR}$ =   
The phone towers provide different data download speeds, as per the table below.


Tower is P ;Data download speed is 25 MBps ;Tower is R ;Data download speed is 30 MBps ;Tower is Q & S ;Data download speed is 20 MBps ;
4.A customer is located at (4,10). Determine the download speed she receives.




参考答案:
空格1: 7空格2: 1空格3: 15±2%空格4: -1±2%


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