Mathematical formula of the first volume of the sixth grade (1)
Per serving 1? Number of copies = total number
Total? Number of copies = number of copies
Total? Number of copies = number of copies
2 1 multiple? Multiple = multiple
How many times? 1 multiple = multiple
How many times? Multiplication = 1 multiplication
3 speed? Time = distance
Distance? Speed = time
Distance? Time = speed
4 unit price? Quantity = total price
Total price? Unit price = quantity
Total price? Quantity = unit price
5 work efficiency? Working hours = total amount of work
Total amount of work? Working efficiency = working hours
Total amount of work? Working hours = working efficiency
6 addend+addend = sum
And-one addend = another addend
7 minuend-minuend = difference
Negative difference = negative
Difference+Minus = Minus
Eight factors? Factor = product
Product? One factor = another factor
9 dividends? Divider = quotient
Dividend? Quotient = divisor
Business? Divider = dividend
Mathematical formula of the first volume of the sixth grade (2)
1 square
Perimeter area side length
Perimeter = side length? four
C=4a
Area = side length? Length of side
S=a？ a
2 cubic meters
Volume a: edge length
Surface area = side length? Side length? six
S table =a? Answer? six
Volume = side length? Side length? edge
V=a？ Answer? a
3 rectangle
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? n
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
Formula of sum and difference problem:
Total? Total number of copies = average
(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)
Mathematical formula of the first volume of the sixth grade (3)
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%)
Sum of side lengths:
Length of cuboid = (length+width+height)
Cube side length = side length? 12
Mathematical formula of the first volume of the sixth grade (4)
The concept of reciprocal: 1 If the product of two numbers is 1, we call one of them the reciprocal of the other. These two numbers are reciprocal. The reciprocal of 1 is 1, and 0 has no reciprocal.
A fraction divided by an integer (except 0) is equal to this fraction multiplied by the reciprocal of this integer.
The basic properties of a fraction: the numerator and denominator of a fraction are multiplied or divided by the same number (except 0), and the size of the fraction.
The law of division of fractions: dividing by a number (except 0) is equal to multiplying the reciprocal of this number.
True fraction: The fraction with numerator less than denominator is called true fraction.
False fraction: Fractions with numerator greater than denominator or numerator equal to denominator are called false fractions. False score is greater than or equal to 1.
With a score: write a false score as an integer, and a true score is called with a score.
The basic nature of the fraction: the numerator and denominator of the fraction are multiplied or divided by the same number (except 0) at the same time, and the size of the fraction remains unchanged.
A number divided by a fraction is equal to the number multiplied by the reciprocal of the fraction.
The number A divided by the number B (except 0) is equal to the reciprocal of the number A multiplied by the number B.
Calculation formula of quantitative relationship
Unit price? Quantity = total price 2. Single output? Quantity = total output
Speed? Time = distance 4. Work efficiency? Time = total workload
Appendix+Appendix = and one addend = and+another addend.
Negative-negative = differential negative = negative-differential negative = negative+difference.
Factor? Factor = product factor = product? Another factor
Dividend? Divider = quotient divisor = dividend? Business dividend = business? divisor
compare
What is the ratio? When two numbers are divided, it is called the ratio of two numbers. Such as: 2? 5 or 3:6 or 1/3, the former and the latter are multiplied or divided by the same number at the same time (except 0), and the ratio remains unchanged.
What is proportion? Two formulas with equal ratios are called proportions. For example, 3:6=9: 18
The basic property of proportion: in proportion, the product of two external terms is equal to the product of two internal terms.
Solution ratio: the unknown term in the proportion is called solution ratio. Like 3:? =9: 18
Proportion: two related quantities, one of which changes and the other changes. If the ratio (i.e. quotient k) corresponding to these two quantities is constant, these two quantities are called proportional quantities, and the relationship between them is called proportional relationship. For example: y/x=k( k must be) or kx = y.
Inverse proportion: two related quantities, one of which changes and the other changes accordingly. If the product of the corresponding two numbers in these two quantities is certain, these two quantities are called inverse proportional quantities, and their relationship is called inverse proportional relationship. Such as: x? Y = k( k must be) or k/x = y.