1, area formula: the area of parallelogram is equal to the base multiplied by the height. Expressed by mathematical expression: area = bottom × height. Adjacent relation: the opposite sides of parallelogram are equal, that is, AB=CD, AD=BC.
2. Diagonal property: the diagonal bisection of parallelogram. This means that if one diagonal of a parallelogram is equally divided, the other diagonal will also be equally divided. Angle property: the diagonals of parallelogram are equal, that is, ∠A=∠C, ∠ B = ∠ D.
3. Relationship between area and diagonal: The area of parallelogram is equal to half of its diagonal product. Expressed by mathematical expression: area = 1/2× bottom× height = 1/2× AC× BD. Slope property: the slopes of two diagonals of parallelogram are the same. This means that if the slope of one diagonal is k, then the slope of the other diagonal is also k.
4. Triangle area formula: In a parallelogram, the area of any triangle is equal to half the area of the parallelogram minus the area of another triangle. Expressed by mathematical expression: the area of triangle = 1/2 × the area of parallelism-the area of other triangles.
Application of parallelogram
1. Architecture: In architectural design, parallelograms are often used to construct symmetrical architectural structures, such as bridges and houses. Mechanical manufacturing: parallelogram is often used as the basic shape of mechanism in mechanical manufacturing, such as gears and connecting rods.
2. Electronic engineering: In electronic engineering, parallelograms are often used to design circuit boards and integrated circuits. Computer Science: In computer science, parallelogram is often used to design images and animations in computer graphics.
3. Physics: In physics, parallelograms are often used to describe the trajectory of objects and the composition of forces. Mathematics: In mathematics, parallelogram is often used to study the basic properties and formulas of geometry, algebra and other disciplines.