28. 在平面直角坐标系 中,对于图形M与图形N给出如下定义:点P为图形M上任意一点,点P与图形N上的所有点的距离的最小值为k,将点P延x轴正方向平移 个单位长度得到点 ,称点 是点P关于图形N的“关联点”,图形M上所有点的“关联点”组成的新图形记为 ,称 是图形M关于图形N的“相关图形”.
(1)已知 , , ,其中 .
①若 ,点 关于线段 的“关联点” 的坐标是______;
②若 ,请用尺规在图中画出点 关于线段 的“关联点” (保留作图痕迹);
(2)如图,线段 关于图形N的“相关图形”如图所示( 为曲线且除 外,其余点的横坐标大于6),如果图形N上的点都在同一条直线上,请在图中画出图形N.
---**Chart/Diagram Description:**
* **Type:** Cartesian coordinate system (rectangular coordinate system) with a grid.
* **Main Elements:**
* **Coordinate Axes:**
* **X-axis:** Labeled 'x', horizontal axis. It has tick marks and numerical labels from -5 to 5.
* **Y-axis:** Labeled 'y', vertical axis. It has tick marks and numerical labels from -3 to 6.
* **Origin:** The intersection of the x and y axes is labeled 'O'.
* **Grid:** A grid of dashed lines covers the plane, indicating integer coordinates. The grid extends from x = -5 to x = 5 and from y = -3 to y = 6.
* **Labels and Annotations:**
* X-axis labels: -5, -4, -3, -2, -1, O, 1, 2, 3, 4, 5.
* Y-axis labels: -3, -2, -1, O, 1, 2, 3, 4, 5, 6.
* The labels O, x, and y denote the origin, x-axis, and y-axis, respectively.
**Chart/Diagram Description:**
* **Type:** Cartesian coordinate system with points, line segments, dashed lines, and a curved line segment.
* **Main Elements:**
* **Coordinate Axes:**
* X-axis: Labeled 'x', with tick marks and labels from -7 to 9 at unit intervals.
* Y-axis: Labeled 'y', with tick marks and labels from -3 to 6 at unit intervals.
* Origin: Labeled 'O' at (0, 0).
* **Points:**
* Point D is located at (-2, 4).
* Point F is located at (-2, 1).
* Point E is located at (-2, -2).
* Point D' is located at (8, 4).
* Point F' is located at (6, 1).
* Point E' is located at (6, -2).
* **Lines and Segments:**
* A solid vertical line segment connects points D, F, and E, indicating that they share the x-coordinate -2.
* A solid vertical line segment connects points F' and E', indicating they share the x-coordinate 6.
* Dashed horizontal lines connect corresponding points:
* From D (-2, 4) to D' (8, 4) along y=4.
* From F (-2, 1) to F' (6, 1) along y=1.
* From E (-2, -2) to E' (6, -2) along y=-2.
* Dashed vertical lines extend downwards from D' (8, 4) and E' (6, -2) to indicate their x-coordinates on the axis, although not explicitly connected to the axis.
* A curved line segment connects point F' (6, 1) to point D' (8, 4). This curve appears to be increasing as x increases.
* **Labels and Annotations:** All points (O, D, E, F, D', E', F') and axes (x, y) are labeled as described above.