Topic 1: Finding the equation of a straight line
Problem solving ideas
Straight line system: Set up a straight line equation based on the known
Parallel straight line system: ax by k=0
Vertical straight line system: bx-ay k=0
Intersection straight line system: m(ax by c) n(dx ey f)=0
Other equations
Point and slope type
[Excluding straight line x=x′]
slope intercept type
[Excluding straight lines perpendicular to the x-axis]
two point type
[Excluding x=x' and y=y']
intercept type
[Excluding straight lines perpendicular to the coordinate axis or passing through the origin]
Topic 2: Distance between parallel lines
Problem solving ideas
Based on the known parallel straight line system, solve the straight line equation and find the distance between parallel lines based on the slope.
Topic 3: Solving triangles and finding the straight line equations corresponding to the sides
Topic 4: Solving the straight lines corresponding to the midlines of the three major lines of a triangle
Topic 5: Solving the straight lines corresponding to the heights of the three major lines of a triangle
Topic 6: Solving the straight lines corresponding to the angle bisectors of the three major lines of a triangle
Topic 7: The problem of the most valuable area
Topic 8: The problem of optimal intercept length
Topic 9: Paper stacking problem
Topic 10: Three-line problem
Topic 11: Vedic Theorem and Root Finding of Straight Lines and Curves