1, what's the significance from the image?
2. For example, the derivative itself is a function, and its geometric meaning is the slope of the tangent of a certain point in the image.
3. It is an algebraic expression, or a geometric figure and geometric language abstracted from equations and functions.
Second, the definition of geometry:
1, geometry, is the study of spatial structure and properties.
2. It is one of the most basic research contents in mathematics, which has the same important position as analysis and algebra and is closely related.
Third, geometric drawing
In the 5th century BC 1 year, the "school of the wise" in Athens studied the above three issues.
2, because it can't be solved with a ruler, people often break into new fields.
3. For example, it inspired the discovery of conic curves, secant curves and cubic and quartic algebraic curves.
Fourth, the origin of the name
1, the word geometry comes from the Greek word "γ ε ω μ ε ρ ρ? Alpha ",by" γ? α "(land) and μ ε ρ ρ ε? ν "(measurement) is a combination of two words, which refers to the measurement of land, that is, geodesy.
Later, it means "geometria" in Latin. The Chinese word "geometry" was coined by Xu Guangqi when Matteo Ricci and Xu Guangqi jointly translated The Elements of Geometry in the Ming Dynasty.
3. No basis was given at that time. Later generations think that, on the one hand, geometry may be transliteration of GEO in Latin Greece, and on the other hand, the content of number theory is also expounded by geometric means in Elements of Geometry.
4. It may also be a free translation of the order of magnitude, so it is generally believed that geometry is the simultaneous translation of sound and geometric meaning.
Five, plane and three-dimensional
1, the earliest geometry is plane geometry. Plane geometry is to study the geometric structure and measurement properties (area, length, angle) of straight lines and quadratic curves (that is, conic curves, that is, ellipses, hyperbolas and parabolas) on the plane.
2. Plane geometry adopts axiomatic method, which is of great significance in the history of mathematical thought.