OCR Output Comparison | Datalab (Chandra & Surya)

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答案与详解

1 观察物体(三)

第1课时观察物体(三)(1)

1. 左上正

解析:几何体从正面看到的是三个小正方形排成一排;从左面看到的是两个小正方形排成一排;从上面看到的小正方形有两排,上面一排只有最左面一个小正方形,下面一排有三个小正方形。

2. (1)①和③

解析:从正面看,①看到的图形是 Diagram D1: 1x3 horizontal row of squares. , ②看到的图形

是 Diagram D2: 2x2 grid, bottom row full, top row left square filled. , ③看到的图形是 Diagram D3: 1x2 horizontal row of squares. , ④看到的图形是 Diagram D4: 2x2 grid, bottom row full, top row right square filled.

Visual representation of diagrams D2, D3, D4.

(2)④ ③

解析:从左面看,①看到的图形是 Diagram D5: 2x2 grid, left column full, right column bottom square filled. , ②看到的图形是

Diagram D6: 2x1 vertical column of squares. , ③看到的图形是 Diagram D7: 2x2 grid, left column full, right column top square filled. , ④看到的图形是 Diagram D8: 2x1 vertical column of squares. 。

(3)2

解析:观察可知③是由4个小正方体摆成的,若要从上面看到的图形不变,则最下面一层的3个小正方体不动,上面的1个可以放在这3个小正方体任意一个的上面,即还有2种摆法。

3. (1)D 解析:A项是从正面看到的图形,B项是从上面看到的图形,C项是从右面看到的图形,D项是从左面看到的图形。

(2)A B 解析:四个几何体从正面看到的图形分别

是 Diagram D9: 2x2 L-shape (bottom row 2, top row 1 on left). , Diagram D10: 1x3 row. , Diagram D11: 2x2 L-shape (bottom row 2, top row 1 on left). , 和 Diagram D12: 2x2 L-shape (bottom row 2, top row 1 on right). ; 从左面看到的图形

分别是 Diagram D13: 2x2 L-shape (left column 2, right column 1 on bottom). , Diagram D14: 2x1 vertical column. , Diagram D15: 2x2 L-shape (left column 2, right column 1 on top). , 和 Diagram D16: 2x1 vertical column. 。

(3)D 解析:要使从左面看到的图形不变,添加的小正方体应放在几何体的左面或右面,一共有4种摆法。

解析:第三个几何体从正面看是 Diagram D17: 2x2 L-shape (bottom row 2, top row 1 on left).

5. (1)6

解析:从上面看到的图形是 Diagram D18: 2x2 grid, bottom row full, top row left square filled. , 用了3个小正方体。

如果用5个小正方体摆,另外2个小正方体可以放在这3个小正方体的任意1个或2个上面(如图),这样

从上面看到的图形不变。

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 1.

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 2.

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 3.

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 4.

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 5.

3D arrangement of 6 cubes. Top view is an L-shape. Configuration 6.

(2)(答案不唯一)如果从上面看到的图形不变,用6个同样的小正方体摆一摆,有几种不同的摆法?

10种

解析:从上面看到的图形是 Diagram D19: 2x2 grid, bottom row full, top row left square filled. , 用了3个小正方体。

如果用6个小正方体,另外3个小正方体可以放在这3个小正方体的任意1个或2个上面,也可以这3个小正方体,每个上面放1个,这样从上面看到的图形不变。

6. 4

解析:

3D arrangement of cubes where some faces are shaded red (or colored). The arrangement is 2x2 base with one cube stacked on the back-right base cube.

如上图,一共有4个小正方体三面涂红色(图中阴影部分)。可以逐个思考每个小正方体涂红色的面数。

快乐口算

0.15 10 11 1.8 56 4900 3 2323 20.7 9.69

第2课时观察物体(三)(2)

1. (1)②③④ (2)①⑥

解析:②③④从正面看是 Diagram D20: 2x2 L-shape (bottom row 2, top row 1 on left). , 从左面看是 Diagram D21: 2x2 L-shape (left column 2, right column 1 on bottom). ;

①⑥从正面看是 Diagram D22: 2x2 L-shape (bottom row 2, top row 1 on right). , 从左面看是 Diagram D23: 2x1 vertical column. 。

2. 从正面看: 从上面看: 从左面看

Object 1 Front View: 2x2 grid, bottom row full, top row right square filled.

解析:从不同的方向观察同一个几何体所看到的形状

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