56 lines
1.6 KiB
Python
56 lines
1.6 KiB
Python
# ========== 题目1：文本数据基础 ==========
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# 1. 打印"Hello"每个字符的ASCII码
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print("===== 题目1-1：打印Hello的ASCII码 =====")
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s = "Hello"
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for char in s:
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print(f"字符 '{char}' 的ASCII码：{ord(char)}")
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# 2. 验证chr(65)是大写字母A
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print("\n===== 题目1-2：chr(65)验证 =====")
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print(f"ASCII码65对应的字符是：{chr(65)}")
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# ========== 题目3：向量基础（A=[3,4], B=[1,2]） ==========
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print("\n===== 题目3：向量A=[3,4], B=[1,2] =====")
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A = [3, 4]
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B = [1, 2]
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# 1. A + B
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add_result = [A[0]+B[0], A[1]+B[1]]
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print(f"1. A + B = {add_result}")
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# 2. 2 × A
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mul_result = [2 * A[0], 2 * A[1]]
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print(f"2. 2 × A = {mul_result}")
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# 3. A的长度（模）
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import math
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norm_A = math.sqrt(A[0]**2 + A[1]**2)
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print(f"3. A的长度（模） = {norm_A}")
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# ========== 题目4：向量点积与余弦相似度 ==========
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print("\n===== 题目4：向量A=[1,2,3], B=[4,5,6] =====")
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A = [1, 2, 3]
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B = [4, 5, 6]
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# 1. 点积
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dot_product = sum(a * b for a, b in zip(A, B))
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print(f"1. 点积 A·B = {dot_product}")
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# 2. 余弦相似度
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norm_A = math.sqrt(sum(a**2 for a in A))
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norm_B = math.sqrt(sum(b**2 for b in B))
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cos_sim = dot_product / (norm_A * norm_B)
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print(f"2. 余弦相似度 = {cos_sim:.3f}")
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# 3. 特殊情况：A=[1,0], B=[0,1]的余弦相似度
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print("\n===== 题目4-3：向量A=[1,0], B=[0,1] =====")
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A = [1, 0]
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B = [0, 1]
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dot_product2 = sum(a * b for a, b in zip(A, B))
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norm_A2 = math.sqrt(sum(a**2 for a in A))
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norm_B2 = math.sqrt(sum(b**2 for b in B))
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cos_sim2 = dot_product2 / (norm_A2 * norm_B2)
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print(f"余弦相似度 = {cos_sim2}")
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print("解释：两个向量互相垂直，夹角为90°，余弦值为0") |