编写数学动画,现在以附件的形式给你一道数学题,请你给出详细的解答过程,因为你面对的是小学生群体,所以你要尽可能的详细,动画要生动,动画中图形和文字不要重叠。最后对大家的称呼是“同学们”,而不是“小朋友们”。 ---**Extraction Content:** **(单选题)** 某厂区如图所示,其中ABCD为矩形,ABEF为直角梯形,AB与DE相交于G点。其中阴影区域ADGF为涉密区域。已知AD、AF、AB长度分别为240米、150米、100米,问涉密区域的面积为多少万平方米? **Options:** A | 1.2 B | 1.3 C | 1.4 D | 1.5 **Chart Description:** Type: Geometric diagram. Main Elements: - Points: A, B, C, D, E, F, G are labeled. - Shapes: - ABCD is a rectangle. - ABEF is a right trapezoid with right angles at E and B (implied by the diagram showing EB perpendicular to EF and AB, and ABCD being a rectangle so AB is perpendicular to AD/BC). The parallel sides are EF and AB. - ADGF is the shaded region, which is a quadrilateral. - Lines: Lines connect the points forming the shapes. AB and DE intersect at point G. - Relative Position and Direction: - Point E is to the left of B, and E, B, C are collinear horizontally. - Point F is above E, forming the height of the trapezoid. - Point A is above B and to the right of F. - Point D is to the right of A and above C. - ABCD forms a rectangle with A top-left, B bottom-left, C bottom-right, D top-right relative to its orientation in the diagram, but typically a rectangle is described with vertices in order, e.g., top-left, top-right, bottom-right, bottom-left. Based on the diagram, it seems AB is vertical, BC is horizontal. Let's assume AB is a vertical side and AD is a horizontal side. However, the text says ABCD is a rectangle and ABEF is a right trapezoid. Given the orientation in the image, it looks like AB is vertical, BC is horizontal, making AD horizontal. Then ABEF is a right trapezoid with right angles at E and B, meaning AB is perpendicular to EB and EF. So E, B, C are on a horizontal line, and AB and EF are vertical. This contradicts ABCD being a rectangle unless AB is the height and AD is the width, and BC is also vertical and CD is horizontal, which isn't a rectangle. Let's reconsider the description based on the labels and typical geometry diagrams. If ABCD is a rectangle, AB is perpendicular to BC and AD, and BC is perpendicular to CD and AB. If ABEF is a right trapezoid, it has a pair of parallel sides (EF and AB) and two right angles (at E and B). The diagram shows AB and EF are vertical, and EB is horizontal. So EF is parallel to AB, and EB is perpendicular to both. This fits ABEF as a right trapezoid with right angles at E and B. In this configuration, if ABCD is a rectangle, AB is vertical and BC is horizontal, making AD horizontal and CD vertical. This fits the diagram. So, AB is a vertical side of the rectangle and the trapezoid. AD is a horizontal side of the rectangle. EB is a horizontal side of the trapezoid. - Point G is the intersection of the line segment AB and the line segment DE. G is located on AB. - Shaded Area: The region ADGF is shaded. **Given Lengths:** - AD = 240米 (meters) - AF = 150米 (meters) - AB = 100米 (meters) **Question:** Calculate the area of the shaded region ADGF in ten thousand square meters (万平方米).

视频信息