Perimeter formula
Type formula letter representation
Rectangular perimeter = (length+width)? 2 (a+b)？ 2
Square perimeter = side length? four
Circumference = diameter = 2? Radius c=d =2? r
Area formula
Type formula letter representation
Rectangular area = length? Width s=a? b
Square area = side length? Side length s=a? a
Parallelogram area = bottom? High s=a? h
Trapezoidal area = (upper bottom+lower bottom)? Tall? 2 s=(a+b)？ h？ 2
Triangle area = bottom? Tall? 2 s=a？ h？ 2
The surface area of a cuboid (length? Width+length? Height+width? High)? 2
S=(a？ b+a？ h+b？ h)？ 2
Cubic surface area = side length? Side length? 6 s= a？ Answer? six
Area of circle = square of radius s=r2
The transverse area of the circumference of the cylinder bottom? high
Diameter? high
2? Radius? High c? h
d？ h
2? r？ h
Surface area of cylinder = side area +2? Jianping
Bottom circumference? High +2? Square of radius
Diameter? High +2? Square of radius
2? Radius? High +2? Square of radius
c？ h+2？ r2
d？ h+2？ r2
2? r？ h +2？ r2
Volume formula
Type formula letter representation
Rectangular length? Wide? High a? b？ h
Cube side length? Side length? Side length a? Answer? a
Bottom area? high
Square of radius? High s? h
r2？ h
A cone? Bottom area? high
? Square of radius? Tall? s？ h
? r2？ h
Supplementary explanation:
Length of cuboid = (length+width+height)? four
Cube side length = side length? 12
Remember the following positive and negative proportional relationship:
Positive proportional relationship:
The circumference of a square is proportional to the length of its sides.
The circumference of a rectangle is proportional to (length+width).
The circumference of a circle is proportional to its diameter.
The circumference of a circle is proportional to its radius.
The area of a circle is proportional to the square of the radius.
2. Inverse relationship
Commonly used quantitative relations:
1. Distance = speed? Time speed = distance? Time = distance? speed
Total work = work efficiency? Working hours, working efficiency = total workload? Working hours Working hours = total work? work efficiency
Total price = unit price? Quantity unit price = total price? Quantity quantity = total price? unit price
Total output = single output? Output per unit area = total output? Area = total output? Single yield
Unit conversion:
Length unit:
1 m = 10 decimeter = 100 cm
1 decimeter =10cm =100mm
Area unit:
1 km2 = 100 hectare 1 hectare = 100 hectare 1 hectare = 100 square meter.
1 km2 = 100000 m2 1 ha = 10000 m2 1 m2 =1000 m2.
1 dm2 = 100 cm2 1 cm2 = 100 mm2
Unit of volume:
1 cubic kilometer = 10000000 cubic meter 1 cubic meter = 1000 cubic decimeter 1 cubic decimeter = 1000 cubic centimeter.
1 cubic centimeter = 1000 cubic millimeter 1 cubic decimeter = 1 cubic centimeter = 1 ml = 1000 ml.
Weight unit:
1t = 1000kg = 100000g
Time unit:
1st century = 100 = fourth quarter year =65438+ February year =365 days (normal year) year =366 days (leap year).
The first quarter =3 months, one month =30 days (abortion), and one month =3 1 day (big month).
A week = 7 days a day = one hour and 24 hours =60 minutes =60 seconds.
Big months of the year: January, March, May, July, August, October and December (seven months).
Abortion in a year: April, June, September and November (four months)
Special score:
=0.5=50% = 0.25 = 25% = 0.75 = 75%
= 0.2 = 20% = 0.4 = 40% = 0.6 = 60% = 0.8 = 80%
=0. 125= 12.5% = 0.375 = 37.5% = 0.625 = 62.5% = 0.875 = 8
1, per share? Number of copies = total? Number of copies = total number of copies? Number of copies = number of copies
Multiply of 2.65438 +0? Multiple = multiple, multiple? 1 multiple = multiple What multiple? Multiplication = 1 multiplication
3. speed Time = distance? Speed = time distance? Time = speed
4. Unit price? Quantity = total price? Unit price = total quantity price? Quantity = unit price
5. Work efficiency? Working hours = total work? Work efficiency = the total amount of work during working hours? Working hours = working efficiency
6. Appendix+Appendix = sum, and-one addend = another addend.
7. Minus-Minus = Minus-Minus = Minus+Minus = Minus
8. Factor? Factor = product product? One factor = another factor
9. Dividends? Divider = business dividend? Quotient = divisor quotient? Divider = dividend
Calculation formula of mathematical graphics in primary schools
1, square c perimeter s area a side length
Perimeter = side length? 4 C=4a
Area = side length? Side length S=a? a
2. cube v: volume a: side length surface area = side length? Side length? 6 S table =a? Answer? 6 volume = side length? Side length? Side length V=a? Answer? a
3. rectangular
Perimeter area side length
Circumference = (length+width)? 2
C=2(a+b)
Area = length? extensive
S=ab
4. Cuboid
V: volume s: area a: length b: width h: height.
(1) surface area (length? Width+length? Height+width? High)? 2
S=2(ab+ah+bh)
(2) Volume = length? Wide? high
V=abh
5 triangle
S area a bottom h height
Area = bottom? Tall? 2
S = huh? 2
Height of triangle = area? 2? bottom
Triangle base = area? 2? high
6 parallelogram
S area a bottom h height
Area = bottom? high
S = ah
7 trapezoid
Height of upper bottom b and lower bottom h in s area a
Area = (upper bottom+lower bottom)? Tall? 2
s=(a+b)？ h？ 2
8 laps
S area c circumference? D= diameter r= radius
(1) circumference = diameter =2? radius
C=？ d=2？ r
(2) Area = radius? radius
Cylinder 9
V: volume h: height s; Bottom area r: bottom radius c: bottom perimeter
(1) lateral area = bottom circumference? high
(2) Surface area = lateral area+bottom area? 2
(3) Volume = bottom area? high
(4) Volume = lateral area? 2? radius
10 cone
V: volume h: height s; Bottom area r: bottom radius
Volume = bottom area? Tall? three
Total? Total number of copies = average
Formula of sum and difference problem
(sum+difference)? 2= large quantity
(sum and difference)? 2= decimal
And folding problems.
And then what? (multiple-1)= decimal
Decimal? Multiple = large number
(or sum-decimal = large number)
Difference problem
Poor? (multiple-1)= decimal
Decimal? Multiple = large number
(or decimal+difference = large number)
Tree planting problem
1 The problem of planting trees on unclosed lines can be divided into the following three situations:
(1) If trees are planted at both ends of the non-closed line, then:
Number of plants = number of nodes+1= total length? Plant spacing-1
Total length = plant spacing? (number of plants-1)
Plant spacing = total length? (number of plants-1)
2 If you want to plant trees at one end of the unclosed line and not at the other end, then:
Number of plants = number of nodes = total length? vertical spacing
Total length = plant spacing? Plant quantity
Plant spacing = total length? Plant quantity
(3) If no trees are planted at both ends of the non-closed line, then:
Number of plants = number of nodes-1= full length? Plant spacing-1
Total length = plant spacing? (number of plants+1)
Plant spacing = total length? (number of plants+1)
The quantitative relationship of planting trees on the closed line is as follows
Number of plants = number of nodes = total length? vertical spacing
Total length = plant spacing? Plant quantity
Plant spacing = total length? Plant quantity
The question of profit and loss
(profit+loss)? Difference between two distributions = number of copies participating in the distribution
(Daying-Xiaoying)? Difference between two distributions = number of copies participating in the distribution
(big loss-small loss)? Difference between two distributions = number of copies participating in the distribution
encounter a problem
Meeting distance = speed and? Meeting time
Meeting time = meeting distance? Speed sum
Speed sum = meeting distance? Meeting time
Catch up with the problem
Chasing distance = speed difference? Catch up with time
Catch-up time = catch-up distance? speed difference
Speed difference = catching distance? Catch up with time
Tap water problem
Downstream velocity = still water velocity+current velocity
Countercurrent velocity = still water velocity-current velocity
Still water velocity = (downstream velocity+countercurrent velocity)? 2
Water velocity = (downstream velocity-countercurrent velocity)? 2
Concentration problem
Solute weight+solvent weight = solution weight.
The weight of solute? The weight of the solution? 100%= concentration
The weight of the solution? Concentration = weight of solute
The weight of solute? Concentration = solution weight
Profit and discount problem
Profit = selling price-cost
Profit rate = profit? Cost? 100%= (price? Cost-1)? 100%
Upper and lower amount = principal? Percentage of increase and decrease
Discount = actual selling price? Original price? 100% (discount
Interest = principal? Interest rate? time
Interest after tax = principal? Interest rate? Time? ( 1-20%)
Length unit conversion
1 km = 1 000m1m = 10 decimeter.
1 decimeter =10cm1m =10cm.
1 cm = 10/0mm
Area unit conversion
1 km2 = 100 hectare
1 ha = 1 10,000 m2
1 m2 = 100 square decimeter
1 square decimeter = 100 square centimeter
1 cm2 = 100 mm2
Volume (volume) unit conversion
1 m3 = 1000 cubic decimeter
1 cubic decimeter = 1000 cubic centimeter
1 cubic decimeter = 1 liter
1 cm3 = 1 ml
1 m3 = 1000 liter
Weight unit conversion
1 ton = 1000 kg
1 kg =1000g
1 kg = 1 kg
Rmb unit conversion
1 yuan = 10 angle.
1 angle = 10 point
1 yuan = 100 integral.
Time unit conversion
1 century = 100 1 year =65438+ February.
The big month (3 1 day) includes:1\ 3 \ 5 \ 7 \ 8 \10 \ 65438+February.
Abortion (30 days) includes: April \ June \ September \165438+1October.
February 28th in a normal year and February 29th in a leap year.
There are 365 days in a normal year and 366 days in a leap year.
1 day =24 hours 1 hour =60 minutes.
1 minute =60 seconds 1 hour =3600 seconds.
Calculation formula of perimeter, area and volume of mathematical geometry in primary schools
1, perimeter of rectangle = (length+width)? 2 C=(a+b)？ 2
2, the perimeter of the square = side length? 4 C=4a
3. Area of rectangle = length? Width S=ab
4. Square area = side length? Side length S=a.a= a
5. Area of triangle = bottom? Tall? 2s = huh? 2
6. The area of parallelogram = bottom? High S=ah
7. The area of trapezoid = (upper bottom+lower bottom)? Tall? 2 S=(a+b)h？ 2
8. Diameter = radius? 2 d=2r Radius = diameter? 2 r= d？ 2
9. Circumference = pi? Diameter = pi? Radius? 2 c=？ d =2？ r
10, circular area = pi? Radius? radius
Definition theorem formula
Area of triangle = bottom? Tall? 2。 Formula S= a? h？ 2
Area of a square = side length? The side length formula S= a? a
Area of rectangle = length? The broad formula S= a? b
Area of parallelogram = bottom? High formula S= a? h
Area of trapezoid = (upper bottom+lower bottom)? Tall? 2 formula S=(a+b)h? 2
Sum of internal angles: sum of internal angles of triangle = 180 degrees.
Volume of cuboid = length? Wide? High formula: V=abh
Volume of cuboid (or cube) = bottom area? High formula: V=abh
Volume of cube = side length? Side length? Side length formula: V=aaa
Circumference = diameter formula: L=? d=2？ r
Area of circle = radius? Radius formula: S=? r2
Surface (side) area of cylinder: The surface (side) area of cylinder is equal to the perimeter of bottom multiplied by height. Formula: S=ch=? dh=2？ right hand
Surface area of cylinder: the surface area of cylinder is equal to the perimeter of the bottom multiplied by the height plus the area of the circles at both ends. Formula: S=ch+2s=ch+2? r2
Volume of cylinder: the volume of cylinder is equal to the bottom area multiplied by the height. Formula: V=Sh
The volume of the cone = 1/3 bottom? Cumulative height formula: V= 1/3Sh.
Law of fractional addition and subtraction: Fractions with the same denominator are added and subtracted, only the numerator is added and subtracted, 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.
The law of division of fractions: dividing by a number is equal to multiplying the reciprocal of this number.
Unit conversion
(1)1km =1km =1000m1m =10 decimeter1decimeter =10 cm/kloc.
(2) 1 m2 = 100 square decimeter 1 square decimeter = 100 square centimeter 1 square centimeter = 100 square millimeter.
(3) 1 m3 = 1000 cubic decimeter 1 cubic decimeter = 1000 cubic centimeter 1 cubic centimeter = 1000 cubic millimeter.
(4)1t =1000 kg1kg =1000 mg =1kg = 2 kg.
(5) 1 hectare = 1 ten thousand square meters 1 mu =666.666 square meters.
(6) 1 liter = 1 cubic decimeter = 1000 ml 1 ml = 1 cubic centimeter.
As far as the calculation formula of quantitative relationship is concerned
1. Unit price? Quantity = total price
2. Single output? Quantity = total output
3. Speed time = distance
4. Work efficiency? Time = total workload
The Formula of Elementary School Mathematics Definition Theorem (2)
First of all, arithmetic.
1. additive commutative law: Two numbers are added to exchange the position of addend, and the sum is unchanged.
2. Law of addition and association: When three numbers are added, the first two numbers are added first, or the last two numbers are added first, and then they are the same as the first number.
Three numbers add up, and the sum remains the same.
3. Multiplication and exchange law: when two numbers are multiplied, the position of the exchange factor remains unchanged.
4. Multiplication and association law: When three numbers are multiplied, the first two numbers are multiplied, or the second two numbers are multiplied first, and then the third number is multiplied, and the product remains unchanged.
5. Multiplication and distribution law: When two numbers are multiplied by the same number, you can multiply the two addends by this number respectively, and then add the two products, and the result remains unchanged. Such as: (2+4)? 5=2? 5+4? 5。
6. Nature of division: In division, the dividend and divisor are expanded (or reduced) by the same multiple at the same time, and the quotient remains unchanged. Divide 0 by any number other than 0 to get 0.
7. Equation: An equation in which the value on the left of the equal sign equals the value on the right of the equal sign is called an equation. Basic properties of the equation: When both sides of the equation are multiplied (or divided) by the same number at the same time, the equation is still valid.
8. Equations: Equations with unknowns are called equations.
9. One-dimensional linear equation: An equation with an unknown number of 1 is called a one-dimensional linear equation.
Example method and calculation of learning linear equation of one variable. Are there any examples? Formulas and calculations.
10. Score: divide the unit "1" into several parts on average, and the number representing such a part or points is called a score.
1 1. Addition and subtraction of fractions: add and subtract fractions with denominator, only add and subtract numerators, and the denominator remains unchanged. Fractions of different denominators are added and subtracted, first divided, then added and subtracted.
12. Comparison of fraction size: Compared with the fraction of denominator, the numerator is large and the numerator is small. Compare the scores of different denominators, divide them first and then compare them; If the numerator is the same, the denominator is big and small.
13. Fractions are multiplied by integers, and the product of the multiplication of fractions and integers is a numerator, and the denominator remains unchanged.
14. Fractions are multiplied by fractions, the product of numerator multiplication is numerator, and the product of denominator multiplication is denominator.
15. Fraction divided by integer (except 0) equals fraction multiplied by the reciprocal of the integer.
16. True fraction: The fraction with numerator less than denominator is called true fraction.
17. False fraction: the fraction with numerator greater than denominator or numerator equal to denominator is called false fraction. False score is greater than or equal to 1.
18. With score: write the false score as an integer, and the true score is called with score.
19. The basic nature of the fraction: the numerator and denominator of the fraction are multiplied or divided by the same number at the same time (except 0), and the size of the fraction remains unchanged.
20. A number divided by a fraction is equal to the number multiplied by the reciprocal of the fraction.
2 1.A divided by b (except 0) equals the reciprocal of a multiplied by b.
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