A2x+B2y+C2z+D2=0 .

Change the general formula into the standard formula: you still need to know a little M(x0, y0, z0).

Formula:

(x-x0)/(b 1 * C2-B2 * c 1)=(y-y0)/(c 1 * A2-C2 * a 1)=(z-z0)/(a 1 * B2-A2 * b 1)。

For example:

Symmetry formula: (x-x0)/l = (y-y0)/m = (z-z0)/n.

Because of the different equations selected, the conversion to "intersection formula" can have different forms.

From the equation on the left: (x-x0)/l = (y-y0)/m.

= & gt

mx-mx0=ly-ly0

= & gt

mx-ly+ly0-mx0=0 .

Similarly, through the "right equation"

ny-mz+mz0-ny0=0 .

Then, the coefficients of the transformed equation are: A 1 = m, B 1 =-L, C 1 = 0, d1= ly0-mx0; A2=0，B2=n，C2=-m，D2=mz0-ny0 .

If the solutions of two equations are the same, then these two equations are called homosolution equations.

The same solution principle of the equation;

Adding or subtracting the same number or the same equation on both sides of the equation is the same solution equation as the original equation.

The equation obtained by multiplying or dividing the same number whose two sides are not zero is the same as the original equation.

Integral equation: An algebraic expression equation with unknowns on both sides is called an integral equation.

Fractional equation: The equation with unknown number in denominator is called fractional equation.