中文讲解---**Extraction Content:**
**Question Stem:**
25. 如图 1, 平面直角坐标系 xOy 中, 过点 B(8, 6) 分别作 x 轴、y 轴的垂线, 垂足分别为 C, A 两点, 直线 y=2x-6 与 AB 交于点 D, 与 y 轴交于点 M.
**(1) 求点 D 的坐标;**
**(2) 如图 2, E 是线段 AO 上的一个动点 (不与点 O 重合), 过 E 作 ED 的垂线交 DM 于点 F.**
**① 若 DE = EF, 求 AE 的长;**
**② 若 ∠COM 的平分线与射线 EF 交于点 H, OH = m, OE = n, 求 m 关于 n 的函数解析式.**
**Chart Description (Figure 1):**
* **Type:** Geometric diagram on a Cartesian coordinate system.
* **Main Elements:**
* **Coordinate Axes:** X-axis (labeled 'x'), Y-axis (labeled 'y'), Origin O.
* **Points:** O, A, B, C, D, M. Point B is at (8, 6). A is the foot of the perpendicular from B to the Y-axis, so A is on the Y-axis. C is the foot of the perpendicular from B to the X-axis, so C is on the X-axis. D is the intersection of line y=2x-6 and line segment AB. M is the intersection of line y=2x-6 and the Y-axis.
* **Lines:**
* Horizontal line segment AB (from A to B). Since A is on the Y-axis and C is on the X-axis as feet of perpendiculars from B(8,6), A must be (0,6) and C must be (8,0). So AB is the line y=6 for 0 ≤ x ≤ 8.
* Vertical line segment BC (from B to C).
* A straight line passing through O, M, and D (partially shown). This line contains the segment MD.
* Line y=2x-6 intersects AB at D and the Y-axis at M.
* **Labels:** O, x, y, A, B, C, D, M, "图 1".
**Chart Description (Figure 2):**
* **Type:** Geometric diagram on a Cartesian coordinate system.
* **Main Elements:**
* **Coordinate Axes:** X-axis (labeled 'x'), Y-axis (labeled 'y'), Origin O.
* **Points:** O, A, B, C, D, M, E, F. Points O, A, B, C, D, M are as defined in Figure 1. E is a moving point on line segment AO, not coinciding with O. F is the intersection of the line perpendicular to ED passing through E, and the line DM.
* **Lines:**
* Line segment AB.
* Line segment BC.
* A straight line passing through O, M, D, and F.
* Line segment AO.
* Line segment ED.
* Ray EF (or line EF), perpendicular to ED at E.
* **Labels:** O, x, y, A, B, C, D, M, E, F, "图 2".
* **Angles/Annotations:** An arc near O on the X-axis labeled 'b'. An arc indicating angle EOM.