149 lines
5.9 KiB
Python
149 lines
5.9 KiB
Python
# ==============================================================================
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# 通过 D:\文档\电子文档\个人\脚本库\PythonScript\第3章.py + 题号 运行
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# 程序名：
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# 第3章习题
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# 目的:
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#
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# 修订记录:
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# 日期 编程者 改动描述
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# =================== ============= =====================================
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# 2021-07-21 02:48:55 Sola 3-1 计算球体表面积和体积
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# 2021-07-21 02:49:12 Sola 3-2 计算比萨饼单价
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# 2021-07-21 02:49:22 Sola 3-3 计算分子中碳水化合物的分子量
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# 2021-07-21 02:54:30 Sola 3-4 计算雷击距离
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# 2021-07-21 03:04:14 Sola 3-5 计算咖啡订单费用
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# 2021-07-21 03:04:28 Sola 3-6 计算两点间斜率
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# 2021-07-21 03:04:36 Sola 3-7 计算两点间距离
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# 2021-07-21 03:20:35 Sola 3-8 计算格里高利闰余
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# 2021-07-21 12:33:33 Sola 3-9 三角形面积
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# 2021-07-21 12:33:49 Sola 3-10 计算梯子所需长度
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# 2021-07-21 12:40:27 Sola 3-11 计算前n个自然数的和
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# 2021-07-21 12:48:14 Sola 3-12 计算前n个自然数的立方和
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# 2021-07-21 12:48:32 Sola 3-13 计算输入指定个数数字的和
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# 2021-07-21 12:49:24 Sola 3-14 计算输入指定个数数字的平均值
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# 2021-07-21 12:51:11 Sola 3-15 级数各项求和
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# 2021-07-21 14:41:27 Sola 3-16 斐波那契数列计算
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# 2021-07-21 14:41:38 Sola 3-17 平方根算法
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# module start
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import math
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pi = 3.14159265
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# module end
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def test3_1():
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r = float(input("请输入球体的半径: "))
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V = 4 / 3 * pi * r ** 3
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A = 4 * pi * r ** 2
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print("球体的体积为：", V, "\n球体的表面积为：", A)
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def test3_2():
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r = float(input("请输入圆形比萨饼的直径："))
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prise = float(input("请输入圆形比萨饼的价格："))
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unitPrise = prise / (4 * pi * r ** 2)
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print("比萨饼的单位面积价格为：", unitPrise)
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def test3_3():
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numH = int(input("请输入分子中H原子数量："))
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numC = int(input("请输入分子中C原子数量："))
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numO = int(input("请输入分子中O原子数量："))
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print("一摩尔该物质中存在碳水化合物的总量为", numH * 1.00794 + numC * 12.0107 + numO * 15.9994, "克")
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def test3_4():
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time = float(input("请输入闪光和雷声之间的时间差（秒）："))
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print("雷击发生在距离大约", time * 1100 / 5280, "英里处")
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def test3_5():
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weight = float(input("请输入咖啡的重量（磅）："))
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print("该订单费用为 $", weight * (0.86 + 10.50) + 1.50 )
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def test3_6():
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x1, y1 = eval(input("请输入坐标(x1, y1)："))
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x2, y2 = eval(input("请输入坐标(x2, y2)："))
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print("(x1, y1) 与 (x2, y2) 之间的斜率为：", (y2 - y1)/(x2 - x1))
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def test3_7():
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x1, y1 = eval(input("请输入坐标(x1, y1)："))
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x2, y2 = eval(input("请输入坐标(x2, y2)："))
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print("(x1, y1) 与 (x2, y2) 之间的距离为：", math.sqrt((y2 - y1) ** 2 + (x2 - x1) ** 2))
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def test3_8():
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year = int(input("请输入一个4位数年份："))
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C = year // 100
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epact = (8 + (C // 4) - C + ((8 * C + 13) // 25) + 11 * (year % 19)) % 30
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print(year, "年的格里高利闰余为", epact)
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def test3_9():
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a, b, c = eval(input("请分别输入三角形三边长a, b, c："))
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s = (a + b + c) / 2
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A = math.sqrt(s * (s - a) * (s - b) * (s - c))
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print("三角形的面积为：", A)
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def test3_10():
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height = float(input("请输入梯子需要达到的高度 (m)："))
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degree = float(input("请输入梯子的倾斜角度 (°)："))
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rad = pi / 180 * degree
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length = height / math.sin(rad)
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print("梯子所需的长度为", length, "m")
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def test3_11():
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n = int(input("请输入需要计算的数字个数："))
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sum = 0
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for i in range(n):
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sum = sum + i
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print("前", n, "个自然数的和为", sum)
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def test3_12():
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n = int(input("请输入需要计算的数字个数："))
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sum = 0
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for i in range(n):
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sum = sum + i ** 3
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print("前", n, "个自然数的立方和为", sum)
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def test3_13():
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n = int(input("请输入需要计算的数字个数："))
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sum = 0
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for i in range(n):
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print("请输入需要求和的第", i + 1, "个数：", end='')
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num = float(input())
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sum = sum + num
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print("所有输入的数字的和为", sum)
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def test3_14():
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n = int(input("请输入需要计算的数字个数："))
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sum = 0
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for i in range(n):
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print("请输入需要求均值的第", i + 1, "个数：", end='')
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num = float(input())
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sum = sum + num
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average = sum / (n + 1)
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print("所有输入的数字的平均值为", average)
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def test3_15():
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n = int(input("请输入需要求和的项数："))
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sum = 0
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for i in range(n):
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sum = sum + (-1) ** i * 4 / (2 * i + 1)
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distance = math.pi - sum
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print("计算得到的近似PI值为：", sum)
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print("与真实PI之间的差为：", distance)
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def test3_16():
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n = int(input("请输入需要计算的斐波那契数列项数（正整数）："))
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temp = 0
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result = 1
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for i in range(n - 1):
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temp, result = result, temp + result
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print("斐波那契数列第", n, "项为：", result)
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def test3_17():
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num = float(input("请输入需要求取平方根的数："))
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times = int(input("请输入牛顿法迭代次数："))
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result = num / 2
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for i in range(times):
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result = (result + num / result) / 2
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print("所求", num, "的平方根为：", result)
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print("所求", num, "的平方根与真实值的差距为：", math.sqrt(num) - result)
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import sys
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def run(num):
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eval("test3_" + num + "()")
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run(sys.argv[1]) |