|
|
Exam-Style Questions on Voronoi DiagramProblems on Voronoi Diagram adapted from questions set in previous Mathematics exams. |
1. | IB Applications and Interpretation |
Points A (-1 , -1) , B (-3 , 1) , C (1 , -3) , D (3 , 1) and E (-3 , -3) represent the locations of toilet buildings on a large caravan site. These points are illustrated on the following coordinate axes.
Horizontal scale: 2 units represents 1 km.
Vertical scale: 2 units represents 1 km.
(a) Calculate the gradient of the line segment AD.
The Site Manager draws three straight lines to form an incomplete Voronoi diagram.
(b) Find the equation of the line which would complete the Voronoi cell containing site A. Give your answer in the form \(ax + by + d = 0\) where \(a , b , d \in \mathbb Z \).
(c) In the context of the question, explain the significance of the Voronoi cell containing site A.
If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.
The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
The solutions to the questions on this website are only available to those who have a Transum Subscription.
Exam-Style Questions Main Page
To search the entire Transum website use the search box in the grey area below.
