Summary of Senior High School Mathematics Knowledge Points: Linear Equation
1: The general formula: Ax+By+C=0(A and B are not 0 at the same time) is applicable to all straight lines.
K=-A/B，b=-C/B
A1/a2 = b1/b2 ≠ c1/c2 ←→ Two straight lines are parallel.
A1/a2 = b1/B2 = c1/C2 ←→ Two straight lines coincide.
Cross intercept a=-C/A
Longitudinal intercept b=-C/B
2. Point skew: y-y0=k(x-x0) is suitable for straight lines that are not perpendicular to the X axis.
Represents a straight line with a slope of k and passing through (x0, y0).
3. Interception formula: x/a+y/b= 1 is applicable to straight lines that are not perpendicular to the origin or the X and Y axes.
Represents a straight line intersecting the X axis and the Y axis, with the X axis intercept a and the Y axis intercept b..
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4. Oblique tangent formula: y=kx+b is suitable for straight lines that are not perpendicular to the X axis.
Represents a straight line with slope k and y-axis intercept b
5. Two-point formula: applicable to straight lines that are not perpendicular to the X and Y axes.
Straight lines representing (x 1, y 1) and (x2, y2).
(y-y 1)/(y2-y 1)=(x-x 1)/(x2-x 1)(x 1≠x2，y 1≠y2)
6. Intersection point: f 1(x, y)*m+f2(x, y)=0 is applicable to any straight line.
A straight line representing the intersection of the straight line f 1(x, y)=0 and the straight line f2(x, y)=0.
7. Point leveling formula: f(x, y)-f(x0, y0)=0 is applicable to any straight line.
A straight line passing through the point (x0, y0) and parallel to the straight line f(x, y)=0.
8. The normal formula: X COS α+YSIN α-P = 0 is suitable for straight lines that are not parallel to the coordinate axis.
A vertical line segment that passes through the origin and forms a straight line. The inclination of the straight line where the vertical line segment is located is α, and p is the length of the line segment.