The circumference of a rectangle = (length+width)? 2 = 2(a+b) = (a+b)? 2
Perimeter of a square = side length? 4 = 4a
Circumference = pi? Diameter =? D = pi? Radius? 2 = 2 ? r
zone
Area of rectangle = length? Width S = ab
Area of a square = side length? Side length S = a?
Area of triangle = bottom? Tall? 2s = huh? 2
Area of parallelogram = bottom? High S=ah
Area of trapezoid = (upper bottom+lower bottom)? Tall? 2 S=(a+b)h? 2
Diameter = radius? 2 d=2r
Radius = diameter? 2 r=d? 2
Area of a circle = pi? Radius? radius
Area of triangle = bottom? Tall? 2 S=a? h? 2
Area of a square = side length? Side length S=a? a
Area of rectangle = length? Width S=a? b
Area of parallelogram = bottom? High S=a? h
Area of trapezoid = (upper bottom+lower bottom)? Tall? 2 S=(a+b)h? 2
Sum of internal angles: sum of internal angles of triangle = 180 degrees.
Volume of cuboid = length? Wide? High V=abc
Volume of cuboid (or cube) = bottom area? Height V=Sh
Volume of cube = side length? Side length? Edge length V=aaa
Area of circle = radius? Radius S=? r2
Lateral area of a cylinder: the lateral area of a cylinder is equal to the perimeter of the bottom multiplied by the height.
S=ch=? dh=2? right hand
Surface area of cylinder: the surface area of cylinder is equal to the bottom. Perimeter times height plus the area of the circle at both ends.
S=ch+2s=ch+2? r2
Volume of cylinder: the volume of cylinder is equal to the bottom area multiplied by the height.
V=Sh
Volume of cone = 1/3 bottom area? Tall man.
V= 1/3Sh
Law of fractional addition and subtraction:
Add and subtract fractions with the same denominator, only add and subtract numerators, and the denominator remains the same.
Fractions of different denominators are added and subtracted, first divided, then added and subtracted.
The multiplication of fractions is:
Use the product of molecules as numerator and the product of denominator as denominator.
Law of division of fractions:
Dividing by a number is equal to multiplying the reciprocal of this number.
The sixth grade mathematics tabloid Volume 1 Content 2: Mathematical Story Little Stone came to the kingdom of mathematics and wanted to calculate his own volume. Knowing the purpose of the small stone, the king introduced it to the minister of volume.
The minister of volume looked at the small stone up and down and found that it was round, square and full of edges and corners. He pondered for a long time and discussed with Xiaoshi. I think you'd better go to a stonemason first and make it into a cuboid, cube, cylinder or cone, so that we can calculate your volume according to the volume calculation formula. ? Hearing this, Xiaoshi said shyly, to tell you the truth, I just came from a stonemason. The master said that I am a rare metal ore, and I am full of treasures. Once I deal with it, it will inevitably cause losses. Today, I came to ask the minister, because my shape is irregular, can you help me calculate the volume?
Minister Juan felt a little embarrassed about Xiaoshi's request, so he had to ask the prince of mathematics. After all, the prince of mathematics is young and clever. When he saw the small stone, he immediately remembered the story of Archimedes, an ancient Greek mathematician, testing the gold content of the crown with water, and put the head of the small stone into the cylinder room. I saw that the prince of mathematics first poured a proper amount of water into a cylindrical glass tube, measured the height of the water and marked it; Then put the small stone into this glass tube filled with water, and the height of the water will rise immediately. The prince of mathematics asked the minister of volume to calculate the volume of the rising water tank. Then tell the little stone:? The volume of this cylinder of rising water is the volume of your little stone. ?
Xiaoshi got a satisfactory answer and said goodbye to the prince of mathematics happily.