Page 360 - PowerPoint Presentation

DEKARTOV KOORDINATNI SISTEM. DEKART COORDINATE SYSTEM

AUTORI: MILIJA GOLUBOVIĆ, VII-6, OŠ „Nikola Tesla“, Beograd; STRAHINJA DUČIĆ, VII-6, OŠ „Nikola Tesla“,
Beograd

MENTOR: VESNA RAJŠIĆ, profesor u ETŠ „Nikola Tesla“, Beograd

REZIME

Svrha ovog rada je da na što razumljiviji način objasni spoj algebre i geometrije – Dekartov
koordinatni sistem*. U ovom radu su opisane i dokazane neke od najvažnijih osobina koordinatnog

sistema. Radi lakšeg razumevanja tu su i slike uz svaki deo rada. Ispod svake slike piše šta ona
predstavlja tako da to olakšava čitanje istog. Za svaku tvrdnju i dokaz naveden je po jedan primer koji

to i potvrđuje. Primer predstavlja postupak načina rada zadatka iz te oblasti. Rad je podeljen na tri
celine:

1. pojam koordinata tačaka

2. rastojanje dve tačke u koordinatnom sistemu
3. jednačina kružnice

*Dekartov koordinatni sistem ( DKS ) dobio je ime po francuskom naučniku Reneu Dekartu i
doveo je do revolucije u izučavanju matematike, spojio je dotad nespojivo – algebru i geometriju.

SUMMARY

The purpose of this paper is to explain how it understandable combination of algebra and
geometry - Cartesian coordinate system *. This paper describes and proves some of the most
important feature of the coordinate system. For your convenience there are pictures with every

piece of work. Under each picture write what it is so easy to read. For each statement and proof is

given by an example that confirms this. An example of an operation procedure of the task in the
field. The work is divided into three parts:

1. The concept of point coordinates
2. Distance between two points in the coordinate system

3. Equation of a circle
* Cartesian coordinate system (DR) was named after the French scientist Rene Descartes and

has revolutionized the study of mathematics, merged the previously incompatible - algebra and
geometry.