请讲解这道题---**1. Question Stem:**
Draw the shapes of the 3D figure as seen from the top, front, and right side, respectively. (3 points)
**2. Chart/Diagram Description:**
* **3D Figure:**
* Type: A geometric figure composed of multiple unit cubes.
* Elements: The figure consists of 4 identical cubes.
* Arrangement: Three cubes are arranged horizontally in a line, forming a base. A fourth cube is placed directly on top of the middle cube of the three-cube base.
* Highlight: The rightmost cube in the base has its right-facing side shaded in pink/red.
* **Drawing Grid:**
* Type: A large grid composed of smaller squares, intended for drawing the required views.
* Structure: The large grid is divided into three distinct sub-grids, arranged horizontally.
* Dimensions: Each of the three sub-grids is a 4x4 array of small squares.
* Labels: Below each sub-grid, from left to right, are the labels:
* Left sub-grid: "上面" (Top view)
* Middle sub-grid: "正面" (Front view)
* Right sub-grid: "右面" (Right view)
视频信息
答案文本
视频字幕
Orthographic projection is a method of representing three-dimensional objects in two dimensions. When we look at a 3D object from different directions - top, front, and right - we see different views that each reveal unique information about the object's structure. By combining these multiple views, we can fully understand how the 3D object is constructed.
Let's examine the specific 3D figure from our problem. This structure is composed of exactly four unit cubes arranged in an L-shaped configuration. The base consists of three cubes placed horizontally in a straight line. Then, a fourth cube is positioned directly on top of the middle cube, creating a vertical element. Notice that the rightmost cube in the base has one face highlighted in pink, which will be important when we create our orthographic views.
Now let's analyze the top view of our 3D figure. When we position a virtual camera directly above the structure and look down, we can see the horizontal arrangement of the three base cubes clearly. The fourth cube, which is stacked on top of the middle cube, appears to overlap with the middle base cube from this perspective. This creates a top view pattern showing three squares arranged in a straight line, representing the footprint of our L-shaped structure.
Now let's examine the front view of our 3D structure. When we rotate our viewing perspective to look at the figure from the front, we can clearly see the height variation in our construction. The three base cubes appear as a horizontal row at the bottom level, while the fourth cube, stacked on top of the middle base cube, creates a vertical element that extends upward. This front view projection shows us a pattern with four squares: three at the base level and one elevated square directly above the middle cube.
Now let's verify our complete solution by examining all three orthographic views together. The top view shows three squares arranged in a horizontal line, representing the footprint of our base cubes. The front view displays an L-shaped pattern with four squares - three at the base level and one elevated square above the middle position. The right view shows two squares arranged vertically, indicating the height variation from the side perspective. Together, these three views provide a complete and accurate representation of our original 3D figure composed of four unit cubes.