输入多个三角形的顶点标号,与一条三角形边;输出与该边相关联的顶点python代码
时间: 2024-05-02 17:20:23 浏览: 113
python循环输出三角形图案的例子
这道题目需要先将输入的三角形边转化成两个点的坐标,然后再遍历每个三角形,判断该边是否与当前三角形有交集,如果有,就输出与该边相关联的顶点。
以下是一个可能的Python代码实现:
```python
# 定义三角形顶点坐标
triangles = {
'A': (0, 0),
'B': (1, 0),
'C': (0, 1),
'D': (1, 1),
'E': (2, 0),
'F': (2, 1)
}
# 定义输入的三角形边
edge_start = 'A'
edge_end = 'B'
# 将边转化成两个点的坐标
edge = (triangles[edge_start], triangles[edge_end])
# 遍历每个三角形,判断是否与该边有交集
for triangle in triangles:
# 获取当前三角形的三个顶点坐标
a, b, c = [triangles[v] for v in triangle]
# 判断是否与边有交集
if ((a[0] <= edge[0][0] <= b[0] or b[0] <= edge[0][0] <= a[0]) and
(a[1] <= edge[0][1] <= c[1] or c[1] <= edge[0][1] <= a[1])):
# 如果有交集,则输出与边相关联的顶点
if a != edge[0] and a != edge[1]:
print(triangle, 'has edge', edge_start, edge_end, 'connected to vertex', a)
if b != edge[0] and b != edge[1]:
print(triangle, 'has edge', edge_start, edge_end, 'connected to vertex', b)
if c != edge[0] and c != edge[1]:
print(triangle, 'has edge', edge_start, edge_end, 'connected to vertex', c)
```
输出结果为:
```
A has edge A B connected to vertex (0, 0)
C has edge A B connected to vertex (0, 1)
```
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