import math
print("exp(1.0)=", math.exp(1))
print("log(2.78)=", math.log(math.e))
print("log10(10,10)=", math.log(10,10))
print("sqrt(4.0)=", math.sqrt(4.0))
print("sin(PI/2)=", math.sin(math.pi/2))
print("cos(PI/2)=", math.cos(math.pi/2))
print("tan(PI/2)=", math.tan(math.pi/2))
print("degrees(1.57)=", math.degrees(1.57))
print("radians(90)=", math.radians(90))
list3.2
import math
x1, y1, x2, y2, x3, y3 =eval(input("Enter three points: "))
a = math.sqrt((x2 - x3) * (x2 - x3) + (y2 - y3) * (y2 - y3))
b = math.sqrt((x1 - x3) * (x1 - x3) + (y1 - y3) * (y1 - y3))
c = math.sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2))
A = math.degrees(math.acos((a * a -b * b - c * c) / (-2 * b * c)))
B = math.degrees(math.acos((b * b -a * a - c * c) / (-2 * a * c)))
C = math.degrees(math.acos((c * c -b * b - a * a) / (-2 * a * b)))
print("The three angles are ", round(A * 100) / 100.0,
round(B * 100) / 100.0, round(C * 100) / 100.0)
list3.3
import turtle
turtle.write(("u6B22u8FCE u03b1 u03b2 u03b3"))
turtle.done()
list3.4
# Receive the amount
amount = eval(input("Enter an amount, for example, 11.56: "))
# Convert the amount to cents
remainingAmount = int(amount * 100)
# Find the number of one dollars
numberOfoneDollars = remainingAmount // 100
remainingAmount = remainingAmount % 100
# Find the number of quarters in the remaining amount
numberOfQuarters = remainingAmount // 25
remainingAmount = remainingAmount % 25
# Find the number of dimes in the remaining amount
numberOfDimes = remainingAmount // 10
remainingAmount = remainingAmount % 10
# Find the number of nickels in the remaining amount
numberOfNickels = remainingAmount // 5
remainingAmount = remainingAmount % 5
# Find the number of pennies in the remaining amount
numberOfPennies = remainingAmount
# Display the results
print("Your amount", amount, "consists ofn",
"t", numberOfOneDollars, "dollarsn",
"t", numberOfQuarters, "quartersn",
"t", numberOfDimes, "dimesn",
"t", numberOfNickels, "nickelsn",
"t", numberOfPennies, "pennies")
list3.5
import turtle # Set pen thickness to 3 pixels # Pull the pen up # Pull the pen down # Draw a triangle turtle.penup() turtle.goto(-100, -50) turtle.pendown() turtle.circle(40, steps = 4) # Draw a square turtle.penup() turtle.goto(0, -50) turtle.pendown() turtle.circle(40, steps = 5) # Draw a pentagon turtle.penup() turtle.goto(100, -50) turtle.pendown() turtle.circle(40, steps = 6) # Draw a hexagon turtle.penup() turtle.goto(200, -50) turtle.pendown() turtle.circle(40) # Draw a circle turtle.done()
list3.6
import turtle
turtle.pensize(3) # Set pen thickness to 3 pixels
turtle.penup() # Pull the pen up
turtle.goto(-200, -50)
turtle.pendown() # Pull the pen down
turtle.begin_fill()# Begin to fill color in a shape
turtle.color("red")
turtle.circle(40, steps = 3) # Draw a triangle
turtle.end_fill()# Fill the shape
turtle.penup()
turtle.goto(-100, -50)
turtle.pendown()
turtle.begin_fill() # Begin to fill color in a shape
turtle.color("blue")
turtle.circle(40, steps = 4) # Draw a square
turtle.end_fill()
turtle.penup()
turtle.goto(0, -50)
turtle.pendown()
turtle.begin_fill() # Begin to fill color in a shape
turtle.color("green")
turtle.circle(40, steps = 5) # Draw a pentagon
turtle.end_fill() # Fill the shape
turtle.penup()
turtle.goto(100, -50)
turtle.pendown()
turtle.begin_fill() # Begin to fill color in a shape
turtle.color("yellow")
turtle.circle(40, steps = 6) # Draw a hexagon
turtle.end_fill() # Fill the shape
turtle.penup()
turtle.goto(200, -50)
turtle.pendown()
turtle.begin_fill() # Begin to fill color in a shape
turtle.color("purple")
turtle.circle(40) # Draw a circle
turtle.end_fill() # Fill the shape
turtle.color("green")
turtle.penup()
turtle.goto(-100, 50)
turtle.pendown()
turtle.write("Cool Colorful Shapes",
font = ("Time", 18, "bold"))
turtle.hideturtle()
turtle.done()
Check3.1
import math
print("math.sqrt(4)=", math.sqrt(4))
print("math.sin(2 * math.pi)=", math.sin(2 * math.pi))
print("math.cos(2 * math.pi)=", math.cos(2 * math.pi))
print("min(2, 2, 1)=", min(2, 2, 1))
print("math.log(math.e)=", math.log(math.e))
print("math.exp(1)=", math.exp(1))
print("max(2, 3, 4)=", max(2, 3, 4))
print("abs(-2.5)=", abs(-2.5))
print("math.ceil(-2.5)=", math.ceil(-2.5))
print("math.floor(-2.5)=", math.floor(-2.5))
print("round(3.5)=", round(3.5))
print("round(-2.5)=", round(-2.5))
print("math.fabs(2.5)=", math.fabs(2.5))
print("math.ceil(2.5)=", math.ceil(2.5))
print("math.floor(2.5)=", math.floor(2.5))
print("round(-2.5)=", round(-2.5))
print("round(2.6)=", round(2.6))
print("round(math.fabs(-2.5))", round(math.fabs(-2.5)))
Check3.5
print("1 = ", ord('1'))
print("A = ", ord('A'))
print("B = ", ord('B'))
print("a = ", ord('a'))
print("b = ", ord('b'))
print("40 = ", chr(40))
print("59 = ", chr(59))
print("79 = ", chr(79))
print("85 = ", chr(85))
print("90 = ", chr(90))
Check3.6
print("\")
print(""")
Check3.7
#Unicode的写法是以 u 开始的，且有范围，范围为 u0000 - uFFFF之间，Check3.8
x = input("Enter a character:")
ch = chr(ord(x) +3)
print(ch)
Check3.9
x = input("Enter a character:")
y = input("Enter a character:")
print(ord(y) - ord(x))
Check3.10
title = "Chapter " + str(1) print(title)
Check3.11
sum = 2 + 3 print(sum) s = '2' + '3' print(s)
Check3.12
"""在python里，所有数据（包括数字和字符）都是objects。 python里的方法函数就是methods。"""Check3.13
""" 用id()和type()这两个函数即可 """Check3.14
""" option (b) """Check3.15
s = "tGeorgian" a = s.lower() b = s.upper() print(a, b)
Check3.16
s = " tGoodtmorningn" a = s.strip() print(a)
Check3.17
""" format()函数返回的是string型的，即字符型 """Check3.18
""" 格式里规定的长度大于数字的长度时，就四舍五入 """Check3.19
print(format(57.467657, "9.3f")) print(format(12345678.923, "9.1f")) print(format(57.4, ".2f")) print(format(57.4, "10.2f"))
Check3.20
print(format(57.467657, "9.3e")) print(format(12345678.923, "9.1e")) print(format(57.4, ".2e")) print(format(57.4, "10.2e"))
Check3.21
print(format(5789.467657, "9.3f")) print(format(5789.467657, "<9.3f")) print(format(5789.4, ".2f")) print(format(5789.4, "<.2f")) print(format(5789.4, ">9.2f"))
Check3.22
print(format(0.457467657, "9.3%")) print(format(0.457467657, "<9.3%"))
Check3.23
print(format(45, "5d")) print(format(45, "<5d")) print(format(45, "5x")) print(format(45, "<5x"))
Check3.24
print(format("Programming is fun", "25s"))
print(format("Programming is fun", "<25s"))
print(format("Programming is fun", ">25s"))
Section3.1
import math
r = eval(input("Enter the length from the center to a vertex: "))
s = 2 * r * math.sin(math.pi / 5)
area = 3 * math.sqrt(3) * s * s / 2.0
print("The area of the pentagon is ", format(area, ".2f"))
Section3.4
import math
s = eval(input("Enter the side: "))
area = (5 * s * s) / (4 * math.tan(math.pi / 5))
print("The area of the pentagon is ", area)
Section3.6
s = eval(input("Enter the ASCII code: "))
print("The charater is ", chr(s))
Section3.7
import time t = round(time.time()) yu = t % 27 #yu的范围是0到26，正好是26个字母 print(yu) s = chr(65 +yu) print(s)
Section3.10
import turtle
turtle.write("u03b1 u03b2 u03b3 u03b4 u03b5 u03b6 u03b7 u03b8")
turtle.done()
Section3.13
import turtle
import math
turtle.pensize(3) # Set pen thickness to 3 pixels
turtle.right(30) #旋转30度
turtle.begin_fill() # Begin to fill color in a shape
turtle.color("red")
turtle.circle(70, steps = 6) # Draw a hexagon
turtle.end_fill() # Fill the shape
turtle.penup()
turtle.goto(0, 70 * math.sin(math.pi/3)-20)
turtle.pendown()
turtle.color("white")
turtle.write("STOP", font = ("Times", 20, "bold"))
turtle.hideturtle()
turtle.done()
Section3.19
import turtle
a, b = eval(input("Enter first point:"))
c, d = eval(input("Enter second point:"))
x = "(" + str(a) + "," + str(b) + ")"
y = "(" + str(c) + "," + str(d) + ")"
turtle.penup()
turtle.goto(a, b)
turtle.pendown()
turtle.write(x)
turtle.goto(c, d)
turtle.write(y)
turtle.hideturtle()
turtle.done()
