COORDINATE METHOD IN GEOMETRIC TASKS

Abstract

The article reveals the possibilities of solving geometric tasks by means of the coordinate method. The essence of the coordinate method in geometry is that, based on direct coordinate points, geometric objects are given analytically, i.e. by means of numbers, equations and inequalities or their systems, and thus, analytical methods are used to prove theorems or solve geometric tasks. This significantly simplifies judgments and often allows, using a certain algorithm, to prove theorems or solve tasks, make certain calculations in the case when the traditionally used geometric (comparative) method in many cases requires the use of artificial techniques. Currently the requirement to master general educational actions is also included in the current educational standards and used subject programs.

The use of the coordinate method in solving geometric tasks opens the wide opportunities for solving tasks not included in the traditional course of school geometry, but quite valuable in their usefulness, which can be considered to be of great success in groups with advanced training in mathematics or in amateur courses. In this regard particular theorems and a number of examples of study tasks are presented, substantiating the importance and necessity of applying the coordinate method in the secondary school.