以下是针对每个任务的Python程序实现及其说明： --- ### **(1) 编写 Python 程序计算以下表达式** ```python import math # 表达式①：+3 expr_1 = +3 # 表达式②：ln(27/13 + e) expr_2 = math.log(27 / 13 + math.e) # 表达式③：tan(log(n+1)) n = int(input("请输入 n 的值: ")) if n >= -1: expr_3 = math.tan(math.log(n + 1)) else: print("错误：log函数中不能包含负数或零") print(f"表达式①的结果为：{expr_1}") print(f"表达式②的结果为：{expr_2:.2f}") # 结果保留两位小数 if 'expr_3' in locals(): print(f"表达式③的结果为：{expr_3:.2f}") # 如果有效则输出结果 ``` --- ### **(2) 按要求完成几何计算** #### 圆球体积公式：V = (4/3)*π*r³ #### 圆环面积公式：S = π*(R²-r²) #### 圆柱体体积公式：V = π*r²*h；表面积公式 S = 2*π*r(h+r) ```python import math # 计算圆球体积 r_sphere = 2.11 volume_sphere = (4/3) * math.pi * r_sphere**3 print(f"半径为 {r_sphere} 的圆球体积为：{volume_sphere:.2f}") # 计算圆环面积 outer_radius = 16.2 inner_radius = 9.4 area_ring = math.pi * (outer_radius**2 - inner_radius**2) print(f"外圆半径为 {outer_radius}, 内圆半径为 {inner_radius} 的圆环面积为：{area_ring:.2f}") # 计算圆柱体体积和表面积 radius_cylinder = 66 height_cylinder = 24.2 volume_cylinder = math.pi * radius_cylinder**2 * height_cylinder surface_area_cylinder = 2 * math.pi * radius_cylinder * (height_cylinder + radius_cylinder) print(f"底面半径为 {radius_cylinder}, 高为 {height_cylinder} 的圆柱体体积为：{volume_cylinder:.2f}") print(f"表面积为：{surface_area_cylinder:.2f}") ``` --- ### **(3) 输入两坐标点，计算欧几里得距离** ```python import math x1, y1 = map(float, input("输入第一个点坐标(x1,y1): ").split(",")) x2, y2 = map(float, input("输入第二个点坐标(x2,y2): ").split(",")) distance = math.sqrt((x2-x1)**2 + (y2-y1)**2) print(f"两点之间的欧式距离为：{distance:.2f}") ``` --- ### **(4) 字符串处理** ```python url = "http://sports.sina.com.cn/" # 统计 t 出现的次数 count_t = url.count('t') print(f"'t'出现的次数为：{count_t}") # 子字符串 "com" 的位置 pos_com = url.find("com") print(f'"com"首次出现在索引位置：{pos_com}') # 替换所有 "/" 为 "" new_url = url.replace("/", "") print(f"替换后的字符串为：{new_url}") # 正向提取 "sports" sub_sports_forward = url[7:url.index(".")] print(f"正向切片提取的子字符串为：{sub_sports_forward}") # 反向提取 "sina" sub_sina_reverse = url[-8:-5] print(f"反向切片提取的子字符串为：{sub_sina_reverse}") # 全部转大写 upper_case = url.upper() print(f"全部转换为大写的字符串为：{upper_case}") # 总字符个数 len_str = len(url) print(f"字符串长度为：{len_str}") # 后续拼接 "index" final_url = url + "index" print(f"拼接后的字符串为：{final_url}") ``` --- ### **(5) 成绩统计及加权总评分数** ```python chinese_score = float(input("输入语文成绩：")) math_score = float(input("输入数学成绩：")) english_score = float(input("输入英语成绩：")) total_scores = chinese_score + math_score + english_score average_score = total_scores / 3 highest_score = max(chinese_score, math_score, english_score) lowest_score = min(chinese_score, math_score, english_score) weighted_total = chinese_score * 0.5 + math_score * 0.3 + english_score * 0.2 print(f"三科总分为：{total_scores}") print(f"平均分为：{average_score:.2f}") print(f"最高分为：{highest_score}") print(f"最低分为：{lowest_score}") print(f"加权总评为：{weighted_total:.2f}") ``` --- ### **(6) 分解三位整数并求各位之和** ```python number = int(input("输入一个三位数：")) hundreds = number // 100 tens = (number % 100) // 10 units = number % 10 sum_of_digits = hundreds + tens + units print(f"{number} 的每位数字之和为：{sum_of_digits}") ``` --- ###