Manhattanská a maximová metrika v úlohách školské geometrie
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Technical University of Liberec
Abstract
Cílem článku je představit sérii úloh, v nichž mají žáci za úkol najít de facto množiny bodů dané vlastnosti v rovině, pracují však se vzdálenostmi na principu manhattanské či maximové metriky. Úlohy jsou vhodné již pro žáky základních škol, jejich gradací však lze tvořit úlohy vhodné i pro žáky starší. V článku je také připomenuta potřebná matematická teorie, kterou sice žáci k řešení úloh znát nemusí, avšak pedagog by s ní měl být obeznámen.
The aim of the article is to present a series of problems in which pupils are tasked with finding de facto loci of points in a plane, but, they work with distances according to the Manhattan or maximum metric principles. The problems are suitable for primary school pupils, but by increasing their difficulty, they can be solved by older pupils. The article also mentions the necessary mathematical theory, which the pupils do not need to know in order to solve the problems, however, the teacher should be familiarised with.
The aim of the article is to present a series of problems in which pupils are tasked with finding de facto loci of points in a plane, but, they work with distances according to the Manhattan or maximum metric principles. The problems are suitable for primary school pupils, but by increasing their difficulty, they can be solved by older pupils. The article also mentions the necessary mathematical theory, which the pupils do not need to know in order to solve the problems, however, the teacher should be familiarised with.
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1210-9037