下图只是一个对称图形的一半。请补全该图形。

它不会直接告诉你答案，而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的

完整解法

24

1. Identify the line of symmetry and the reflection rule

The line of symmetry is $y = 14 - x$ , which means $x + y = 14$ . For any point $(x, y)$ , its reflection across this line is $(14 - y, 14 - x)$ .

2. Reflect each vertex across the line of symmetry

Reflecting the given vertices:

$(2, 12) \rightarrow (14-12, 14-2) = (2, 12)$ (on the line)
$(2, 9) \rightarrow (14-9, 14-2) = (5, 12)$
$(4, 9) \rightarrow (14-9, 14-4) = (5, 10)$
$(4, 8) \rightarrow (14-8, 14-4) = (6, 10)$
$(2, 6) \rightarrow (14-6, 14-2) = (8, 12)$
$(7, 4) \rightarrow (14-4, 14-7) = (10, 7)$
$(8, 2) \rightarrow (14-2, 14-8) = (12, 6)$
$(11, 3) \rightarrow (14-3, 14-11) = (11, 3)$ (on the line)

3. Connect the reflected vertices to complete the figure

Connect the points in order: $(11, 3) \rightarrow (12, 6) \rightarrow (10, 7) \rightarrow (8, 12) \rightarrow (6, 10) \rightarrow (5, 10) \rightarrow (5, 12) \rightarrow (2, 12)$ .

答案

The completed figure is drawn by reflecting the given vertices across the line of symmetry $y = 14 - x$ . The new vertices are $(5, 12)$ , $(5, 10)$ , $(6, 10)$ , $(8, 12)$ , $(10, 7)$ , $(12, 6)$ , connected in reverse order from $(11, 3)$ to $(2, 12)$ .

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下图只是一个对称图形的一半。请补全该图形。

完整解法

24

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