What is a quadratic equation of one variable? What is a quadratic equation of two variables?

What is a quadratic equation of one variable? What is a quadratic equation of two variables?


The equation satisfying the following three conditions is a quadratic equation with one variable: (1) it contains only one unknown number; (2) after the steps of denominator removal, bracket removal, term shifting and merging, the maximum number of unknowns is 2. (3) it is an integral equation (there is no unknown number in the denominator), and the quadratic equation with two variables should satisfy the following three conditions (1)



How to solve the binary quadratic equations in MATLAB,
x^2+y^2=10^2*(1.568-1.538)
x*2=arctan(y/x)


[X,Y]=solve('x^2+y^2=10^2*(1.568-1.538)','x*2=arctan(y/x)')
X =-0.60651959867130434289594767388317
Y =1.6223852737335851185433543673061



The trajectory equation of a point in Cartesian coordinate system with equal distance to two coordinate axes is


Y = x and y = - X are the bisectors of the quadrants with a slope of 1



Given that the distance from the moving point P to the point (- 3,0) is 3 greater than the distance to the y-axis in the rectangular coordinate system, the trajectory equation of the moving point P is obtained
Such as the title


p(x,y)
√[(x+3)^2+y^2]=|x|+3
y^2=6(|x|-x)
The trajectory equation of the moving point P is as follows
1,x>0,y^2=0
2,x



According to Cartesian right hand rule, the coordinate system of machining center is not right
I don't know if it's my wrong drawing or I don't understand. The positive direction of X axis and the positive direction of Y axis are all wrong with the actual moving direction of the machine tool


In machining center, the worktable moves and the spindle does not move. I understand what the landlord means. Does the landlord mean that according to the Cartesian right-hand rule, if the x-axis moves in a positive direction, the worktable should move to the right, and if the x-axis moves in a negative direction, the worktable should move to the left?
But you should know that Cartesian right-hand rule is based on the principal axis in processing. Theoretically, if the x-axis moves in the positive direction, the principal axis should move to the right, and if the x-axis moves in the negative direction, the principal axis should move to the left. But in fact, the principal axis is fixed, so it can only be realized through the workbench. So it is reverse



What is a right-handed Cartesian coordinate system


Cartesian coordinate system is the general name of Cartesian coordinate system and oblique coordinate system. Two number axes intersecting at the origin constitute plane affine coordinate system. If the units of measurement on the two number axes are equal, the affine coordinate system is called Cartesian coordinate system. Cartesian coordinate system with two number axes perpendicular to each other is called Cartesian rectangular coordinate system



How to judge three axes of machining center with Cartesian coordinate system of right hand?
In practical application (machining center), how is it wrong (Z axis thumb can rotate, then the positive direction of X and y will change). Is there any formula or standing in a fixed position of the machine tool?


The thumb of the right hand points to the positive direction of the X axis, the index finger points to the positive direction of the Y axis, and the middle finger points to the positive direction of the Z axis



How to calculate the area of the figure in the rectangular plane coordinate system? How to calculate the coordinate point after knowing the area
I fell asleep when I was tired in this class


There are three methods to calculate the area of a figure in a rectangular plane coordinate system
1. The length, width, bottom and height of the figure are integers, which are directly brought in by formula
2. Using the complement method: first calculate the diamond area of the figure, and then subtract the remaining figure area
3. Using cut method: divide the figure into diamond or triangle which is easy to find
Coordinate point: find one of the points in the figure, and use the length of the line segment between the two points to calculate the abscissa and ordinate respectively
It's hard to type,



In the rectangular coordinate system, a (- 1,2), B (3, - 2), find the area of △ AOB


If the intersection point is C, then C (- 1, - 2) s △ AOB = s △ acb-s △ AOC-S △ cob = 8-2-4 = 2



On the formula of distance from point to plane
It's not the module of D = | any vector · normal vector | / normal vector. How to choose any vector? If you choose different vectors, the distance will be different?


Let ax + by + CZ + D = 0
Point (x0, Y0, Z0)
Distance from point to plane = | ax0 + by0 + CZ0 + D | / √ (a ^ 2 + B ^ 2 + C ^ 2)