67 lines
1.3 KiB
Python
67 lines
1.3 KiB
Python
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print("题目1 ")
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hello1 = "Hello"
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hello2 = 'Hello'
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print("双引号表示:", hello1)
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print("单引号表示:", hello2)
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print("\n1. 'Hello' 每个字符的ASCII码:")
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for c in hello1:
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print(f"字符 '{c}' → ASCII: {ord(c)}")
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print("\n2. 验证ASCII码65对应的字符:")
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print(f"chr(65) → {chr(65)}")
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import math
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print("\n题目3")
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A = [3, 4]
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B = [1, 2]
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A_plus_B = [A[0] + B[0], A[1] + B[1]]
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print(f"1. A + B = {A_plus_B}")
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two_times_A = [2 * A[0], 2 * A[1]]
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print(f"2. 2 × A = {two_times_A}")
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len_A = math.sqrt(A[0] ** 2 + A[1] ** 2)
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print(f"3. 向量A的长度 = {len_A}")
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print("\n题目4")
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A3 = [1, 2, 3]
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B3 = [4, 5, 6]
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dot_product = A3[0]*B3[0] + A3[1]*B3[1] + A3[2]*B3[2]
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print(f"1. 点积A·B = {dot_product}")
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def cosine_similarity(a, b):
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dot = sum(x*y for x,y in zip(a,b))
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norm_a = math.sqrt(sum(x*x for x in a))
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norm_b = math.sqrt(sum(x*x for x in b))
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return dot / (norm_a * norm_b)
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cos_sim = cosine_similarity(A3, B3)
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print(f"2. 余弦相似度 = {cos_sim:.4f}")
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A_test = [1, 0]
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B_test = [0, 1]
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cos_sim_test = cosine_similarity(A_test, B_test)
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print(f"3. A=[1,0], B=[0,1]的余弦相似度 = {cos_sim_test}")
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print("原因：两个向量正交（垂直），方向完全不同，所以余弦相似度为0") |