The analysis process is as follows:
(1) area formula of parallelogram: base× height (excavation and filling method can be used, and the derivation method is shown in the figure); If "h" is used for height, "a" for base and "s" for parallelogram area, then s parallelogram = a * h.
(2) The area of the parallelogram is equal to the product of two adjacent sides multiplied by the sine value of the included angle; If "A" and "B" represent the lengths of two groups of adjacent sides, α represents the included angle between the two sides, and "S" represents the area of parallelogram, then S parallelogram = A "B * sin α.
Extended data:
Properties of parallelogram:
1. If the quadrilateral is a parallelogram, then the two opposite sides of the quadrilateral are equal.
2. If the quadrilateral is a parallelogram, then the two opposite corners of the quadrilateral are equal.
3. If a quadrilateral is a parallelogram, then the adjacent angles of this quadrilateral are complementary.
Area perimeter formula of commonly used geometric figures:
1, the perimeter of the rectangle = (length+width) ×2 C=(a+b)×2.
2. The circumference of a square = side length ×4 C=4a.
3. Area of rectangle = length× width S=ab
4. Area of a square = side length × side length S = a× a.
5. Area of triangle = base × height ÷2 S=ah÷2.
6. parallelogram area = bottom x height S=ah
7. trapezoidal area = (upper bottom+lower bottom) × height ÷ 2s = (a+b) h ÷ 2.