Geometria


Block: Geometry

INDEX
	Introduction Objectives System of reference in the plane Application of vectors to geometric problems I Application of vectors to geometric problems II Equation of a straight line I Equation of a straight line II Application of vectors to metric problems Vector of the normal to a straight line. The angle between two lines. Distance between two points. Distance from a point to a line. Problems with parametric lines I Problems with parametric lines II Explicit equation of a line I Gradient Explicit equation of a line II Position of two lines Geometric loci I Bisector of a segment Bisector of an angle Geometric loci II Circumference Ellipse Problems

ANALYTICAL GEOMETRY

INTRODUCTION

In this unit we will approach the study of the straight line in a plane considering thoroughly the necessary concepts to do so.

We will be working with numerical and geometric elements to find algebraically the concepts associated with the study in a plane.

In some places geometry will be contemplated where it can be shown how an analytical method can be used to simplify geometric concepts.

OBJECTIVES

To understand the concept of a vector and to use them analytically.
To obtain the equation of a straight line in the plane in its different forms.
To determine the position relative to two lines of the plane.
To find the size of angle which they form.
To calculate the distance between two points, a point and a line and between two lines in the plane.
Apply the vector calculation to solve simple geometric problems: mid point of a segment.
Develop adequate flexibility to approach geometric situations form different view points.
To find the equations of some geometric loci.

Ángela Núñez Castaín


	Ministry of Education, Social Afairs and Sport. Year 2001

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