The birth of analytic geometry linked algebra and geometry, brought the development of mathematics into a new world, and a large number of new mathematical ideas and new disciplines began to appear.

Mathematics has entered the era of variable mathematics from constant mathematics, and function has become an important research object of mathematics. The study of function, such as the tangent of function curve, promotes the generation of analysis. It can be said that the injection of new ideas in analytic geometry has given mathematics unprecedented vitality.

Analytic geometry;

1. Analytic geometry was founded and developed by mathematicians such as Descartes and Fermat with the help of Cartesian coordinate system.

2. It is a branch of geometry, which studies the relations and properties between geometric objects by algebraic method, also called coordinate geometry.

3. Analytic geometry includes two parts: plane analytic geometry and solid analytic geometry.

4. Plane analytic geometry establishes the one-to-one correspondence between points and real number pairs, and the one-to-one correspondence between curves and equations through the plane rectangular coordinate system, and studies geometric problems by algebraic methods or geometric methods.

5./kloc-Since the 7th century, due to the development of navigation, astronomy, mechanics, economy, military and production, as well as the rapid development of elementary geometry and elementary algebra, the establishment of analytic geometry has been promoted and widely used in all branches of mathematics.