五个字母 T、E、A、M 和 S 画在一个方格网中。

  1. (a)

    有几个字母具有对称轴?

    答:(a)___

  2. (b)

    哪个(些)字母既有平行线又有垂直线?

    答:(b)___

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完整解法

22(a)

1. Determine which letters have at least one line of symmetry

By inspecting the block letters:

  • T: Has a vertical line of symmetry.
  • E: Has a horizontal line of symmetry.
  • A: Has a vertical line of symmetry.
  • M: Has a vertical line of symmetry.
  • S: Has no line of symmetry (only rotational symmetry).

2. Count the number of letters with a line of symmetry

The letters T, E, A, and M have lines of symmetry.
Total number of letters = 44.

答案

44

22(b)

1. Identify letters with parallel lines

Looking at the letters:

  • T: No parallel lines.
  • E: Has three horizontal strokes which are parallel to each other.
  • A: No parallel lines.
  • M: Has two vertical strokes which are parallel to each other.
  • S: Curved, no straight parallel lines.

2. Identify letters with perpendicular lines

Looking at the letters:

  • T: Has a horizontal top stroke and a vertical stem, which are perpendicular.
  • E: Has horizontal strokes and a vertical stroke, which are perpendicular.
  • A: No perpendicular lines.
  • M: No perpendicular lines (vertical and slanted strokes do not meet at 90∘90^\circ).
  • S: Curved, no perpendicular lines.

3. Find letters with both parallel and perpendicular lines

From the analysis:

  • T has perpendicular lines but no parallel lines.
  • E has both parallel lines (the three horizontal strokes) and perpendicular lines (horizontal strokes meeting the vertical stroke).
  • M has parallel lines but no perpendicular lines.
    Therefore, only E has both.
答案

T, E

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