【Haichuan Teahouse】Brain-teasing Series: Uncertain Elements That Cause Confusion
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Read the question: As shown in the figure, the area of the parallelogram is 18. A, B, C, and D are the midpoints of its sides, and E is a point inside the parallelogram. By connecting these points, find the area of the shaded region.
The area of the shaded BEC is equal to the unshaded area of AEB; therefore, the shaded area is half of the total area, which means the shaded area is 9.
This means that as long as it is within the parallelogram, the area of the shadow formed remains constant, and it can be determined using substitution? ? ? ?
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Connect the diagonals to divide it into triangles; in any case, the area of the shaded part is half of the total area.
If the blue area is equal to the red area, then the area is half of that of the parallelogram