By yurunsun@gmail.com
Sina Weibo @ sun yurun Sina Blog
Csdn blog
Date:
Analytic ry is an entry-level mathematics class engaged in graphics research. In general, it is a little extended in the resolution ry of High School, emphasizing the derivation process of theorem and inference. The content includes:
- Vector
- Plane and line
- Common Surfaces
- Basic concepts of Matrices
- Coordinate Transformation
- Quadratic Curve simplification
1. Vector
- Vector collinearity, basis, linear combination, maximum linear independent group
- Affine Coordinate System
- 3-point collinearity Condition
- Vector Inner Product, coordinate representation
- Vector outer product, coordinate representation, geometric meaning
- Vector hybrid product, geometric meaning
- Another criterion for determining the Three-vector conplane obtained from the vector hybrid product
- Dual Outer Product
2. Plane and line
- Plane Parameter Equation
- Normal Plane Equation
- The positional relationship between a plane and a plane
- Conditions for handing three faces to one point
- Distance from point to plane
- Flat Vector
- Two-plane angle
- Linear Parameter Equation: vector equation, point-oriented equation, Two-Point Equation, two-side Normal Equation
- Distance from a point to a straight line: The area represented by the outer product divided by the bottom edge Length
- Distance between two straight lines
3. Common Surfaces
- Ball Normal Equation
- Ball Parameter Equation
- General surface and general Curve Equation
- Equation of the rotating surface derived from the rotating line
- Cylindrical Equation
- Cone Equation
- Secondary Surface
4. Basic concepts of Matrices
- Matrix addition, subtraction, multiplication
- Matrix Rank conversion, symmetric matrix, reversible matrix, inverse matrix, orthogonal matrix
- Phalanx, determining, and Singularity
5. Coordinate System Transformation
Over-matrix of the affine coordinate system [O1, X1, Y1, Z1]-> [O2, X2, Y2, Z2]
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