解上题---**选择题 (Multiple Choice Question)** **【例1】(2024 陕西中考改编)** **Question Stem:** 如图, 在 $\triangle ABC$ 中, $AB = AC$, $E$ 是边 $AB$ 上一点, 连接 $CE$, 在 $BC$ 的右侧作 $BF // AC$, 且 $BF = AE$, 连接 $CF$。 若 $BC = 10$, $A$ 点到 $BC$ 的距离为 $12$, 则四边形 $EBFC$ 的面积为_______。 **Options:** (No explicit options A, B, C, D are provided. The question asks for a fill-in-the-blank answer.) **Diagram Description:** * **Type:** Geometric figure. * **Main Elements:** * Points labeled: A, B, C, E, F. * Triangle ABC is shown, with AB seemingly equal to AC. * Point E is located on segment AB. * Segment CE connects points C and E. * Segment BF is drawn from point B, positioned on the right side of segment BC relative to the triangle ABC. An annotation indicates that BF is parallel to AC (BF // AC). * It is stated that the length of BF is equal to the length of AE (BF = AE). * Segment CF connects points C and F. * A dashed line segment is drawn from point A perpendicular to segment BC, representing the height of triangle ABC from A to BC. This height is labeled with the number 12. * Segment BC is labeled with the number 10, representing its length. * The figure shows the quadrilateral EBFC, formed by segments EB, BC, CF, and FE. **Other Relevant Text:** * **解题关键 (Key to Solving the Problem):** 求未知图形的面积, 其基本方法是将它转化在可求面积的图形中, 这里可求面积的图形是 $\triangle CBA$。 (To find the area of an unknown figure, the basic method is to transform it into a figure whose area can be found. Here, the figure whose area can be found is triangle CBA.) * **方法总结 (Method Summary):** 通过“特例”, 常可找出转化解答题目的思路。 (Through "special cases", one can often find the approach to transform and solve the problem.) * **Caption:** 例1 题图 (Figure for Example 1) **Page Number:** 104

视频信息