Generally, the coordinates of two points can be obtained through analytical expressions. Substitute their x and y respectively, and you will get a set of quadratic linear equations, solve a and b, and then substitute them into the above formula and the analytical formula will come out.
Quadratic parallelogram diagonal formula;
Diagonal formula of parallelogram: l= in(n-3)2. Diagonal, a geometric term, is defined as a line segment connecting any two nonadjacent vertices of a polygon, or a line segment connecting any two vertices of a polyhedron that are not on the same plane. In addition, in algebra, n-order determinant, the numbers from upper left to lower right belong to the main diagonal, and the numbers from upper left to upper right belong to the sub-diagonal.
Parallelogram is a closed figure composed of two groups of parallel lines on the same two-dimensional plane. Parallelogram is generally named by the graphic name followed by four vertices. Note: When using letters to represent quadrangles, be sure to indicate whether the vertices are clockwise or counterclockwise.
The law of quadratic function forming parallelogram;
General formula: y = ax2+bx+c (a, b and c are constants, a ≠ 0); ;
2. Vertex: y = a( x-h )2+k (a, b, c are constants, a ≠ 0); ;
3. Two-point formula: y = a( x-x 1 )( x-x2 )( a ≠ 0).