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IB Mathematics: Applications and Interpretation HL · 12.8: Voronoi Diagrams · 12.8.4
Adding a site: the incremental algorithm Problem set A Answers
Skills
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- (a) D, C, B, A
- (b) \(y=x+2\)
- (c) (1, 1), (2, 4), (4.5, 6.5), (6, 3.5)
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- (a) (6.5, 2.5): distance to E is 0.707, to A, B and C is 2.12
- (b) 3
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- (a) \(y=-x+9\)
- (b) (3.5, 0) and (9, 0)
In context
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- (a) (0.5, 4.5), (2, 6), (3.5, 3), (4, 4)
- (b) 2.50 km (to (3.5, 3))
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- (a) A, E, B, C
- (b) D
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- (a) \((\frac{9}{2}, \frac{9}{2})\)
- (b) \((\frac{3}{2}, \frac{3}{2})\), \((\frac{3}{2}, 6)\), \((\frac{15}{2}, 6)\)
Stretch
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- (a) (6, 3.5), (6, 7), (7, 3), (9, 3), (9, 7)
- (b) (3, 2), (6, 5), (7, 2), (8, 3)
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B and C: the whole edge between them is inside the cell of E
jmaths.xyz · AI HL · 12.8.4 Adding a site: the incremental algorithm