一次函数---Here is the extracted content from the image: **Section Header:** 二、填空题 (本大题共5小题, 每小题3分, 共15分) **Question 11:** 已知一次函数 y=2x+4 的图象经过点 (m, 6), 则 m=_______ . **Question 12:** 如图, 直线 l₁: y=3x-1 与直线 l₂: y=mx+n 相交于点 P(1, b), 则关于 x, y 的方程组 {y=3x-1 \newline y=mx+n} 的解为 _______ . * Diagram Reference: 题 12 图 **Question 13:** 如图, 线段 BE, CD 相交于点 A, 连接 DE, BC, 请添加一个条件, 使 △ADE∽△ABC, 这个条件可以是 _______ . (写出一个条件即可) * Diagram Reference: 题 13 图 **Question 14:** 如图所示, 在 □ABCD 中, 对角线相交于点 O, 已知 AB=24 cm, BC=18cm, △AOB 的周长为 54cm, 则△AOD 的周长为 _______ cm. * Diagram Reference: 题 14 图 **Diagram Description (Based on visible diagrams):** * **题 13 图 (Diagram for Question 13):** * Type: Geometric figure (triangles). * Main Elements: Points A, B, C, D, E. Line segments BE and CD intersect at A. Line segment DE connects D and E. Line segment BC connects B and C. Point D is on AC, and Point E is on AB. (Based on the wording "线段 BE, CD 相交于点 A", A is on both BE and CD, implying D is on AC and E is on AB if C, A, D are collinear and B, A, E are collinear, which is consistent with the diagram shown). * **题 14 图 (Diagram for Question 14):** * Type: Geometric figure (parallelogram). * Main Elements: Parallelogram ABCD. Diagonals AC and BD intersect at point O. * Labeling: Points A, B, C, D, O are labeled. * *Other diagrams (题 5 图, 题 10 图, 题 12 图) are not clearly visible enough to describe.* **Other Relevant Text:** * 第 1 页 共 4 页 (Page 1 of 4 pages) **Handwritten Notes (Transcribed as accurately as possible):** * DG = AG + AD * = 2√3 + 2 * 在 Rt△DFG 中, ∠DGF = 30° * ∴ DF = 1/2 DG = (2√3+2)/2 = √3+1 * ∴ AB = 2 * ∴ AB = 2BG * ∴ BG = 4 * ∠AGB = 30° ∠BAG = 90° * AG = √4²-2² = √16-4 = √12 = 2√3

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