Abstract

This article discusses three basic relationships and shows them when applied to solving geometric problems. However, teaching students how to use vectors to solve problems in a limited curriculum is difficult. To overcome these difficulties, you need a well-thought-out exercise system. The proposed article describes the experience in solving this issue

Highlights

  • The apparatus of vector algebra, studied in the course of mathematics, is widely used in proving theorems and soling many geometric problems

  • MA MB MC 0, Where M is the centroid of triangle ABC

  • Let M be the centroid of triangle ABC

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Summary

Introduction

The apparatus of vector algebra, studied in the course of mathematics, is widely used in proving theorems and soling many geometric problems. Let us proceed to consider the basic vector relations and their application to solving problems. Let M be the centroid of triangle ABC (fig.[1]). Line MB intersects AC of triangle ABC at point D, which is the midpoint of side AC.

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