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The Concept of Unit 2 of the Sixth Grade Mathematics Volume II
The concept of the formula of unit 1 and unit 2 of mathematics in the second volume of the sixth grade

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1

columnar

The upper and lower surfaces are called the bottom,

They are two circles of the same size.

A cylinder has a surface.

It's called profiling.

The distance between the two bottom surfaces is called the height of a cylinder. A cylinder has countless heights and none.

Several axes of symmetry,

Everyone is equal,

The side of the cylinder is unfolded into a rectangle,

It may also be square.

Form; Diagonal shear is a parallelogram, and the cylinder consists of two bottom surfaces and one side surface.

2

The side of the cylinder is expanded along the height to obtain a square or rectangle, and the length of the rectangle is equal to the circumference of the bottom surface.

The width is equal to the height of the cylinder,

(When the perimeter of the bottom is equal to the height, it is square.

)

three

The space occupied by a cylinder is called the volume of the cylinder. Divide the bottom of the cylinder into two parts: if.

Form an equal part,

Then the cylinder is cut into an approximate cuboid,

The bottom of this cuboid

Equal to the bottom area of the cylinder,

Higher than the height of the cylinder,

The length of the cuboid is equal to half the circumference of the bottom surface of the cylinder,

extensive

Is equal to the radius of the bottom surface of the cylinder.

four

The cylinder is cut into an approximate cuboid,

The volume has not changed,

The surface area is increased,

(Increase)

zone

=

Radius of bottom surface of cylinder × height ×

2

)

five

Cutting the cylinder along the diameter will increase the surface area.

(area increase

=

The bottom of the cylinder is straight.

Diameter × height ×

2

)

six

Saw a cylinder into two sections, and the surface area increased by two bottom surfaces.

seven

The surface area of ventilation pipes such as cylindrical chimneys, water pipes and iron pipes is only the side area.

eight

Finding the bottom area of a cylinder or cone is to find one of their bottom areas.

nine

Finding the area of a cylinder rolling once is to find its lateral area.

10

The radius (or diameter, perimeter) of the bottom surface of the cylinder is enlarged.

three

Times, the height remains the same, and the volume should be expanded.

nine

Time magazine. circle

The radius (or diameter, perimeter) of the bottom surface of the column is enlarged.

three

Times, the height has also expanded.

three

Times, the volume should be expanded.

27

Time magazine.

1 1

The bottom of that cone is a circle,

The side is curved,

The distance from the apex of the cone to the center of the bottom surface is called

The height of the cone,

The cone has only one height.

The side of the cone is a fan.

A cone consists of a bottom surface.

And sides,

12

When the bottom surfaces of the cylinder and the cone are equal in height, the volume of the cone is one third of that of the cylinder.

(or the volume of a cylinder.

It's conical.

three

Time magazine.

)

13

For cones and cylinders with equal volume and height, the bottom area of the cone is three times that of the cylinder.

Volume and bottom area

The height of equal cone and cylindrical cone is three times that of cylinder.

14

Area of rectangle

=

long

x

extensive

Expressed in letters

:S=ab

15

Area of a square

=

Length of side

x

Length of side

Expressed in letters

:S=a x a

16

Area of a circle

=

radius

х

radius

х

circumference ratio

Expressed in letters

:S=

17

perimeter of a circle

=

diameter

х

circumference ratio

2

х

radius

х

Pi)

18

radius of a circle

=

Perimeter/π/π

2

(or diameter)

2

)

Expressed in letters

19

Given the circumference, find the lateral area of the cylinder.

Cylindrical side area

=

Bottom circumference

x

high

S

One side, one side

=Ch

2 1

Given the radius, find the lateral area of the cylinder.

S

One side, one side

=

22

Given the diameter, find the lateral area of the cylinder.

S

One side, one side

=

23

Surface area of cylinder

=

border area/region

+

Jianping

x2

24

, the area of the ring

=

25

, the volume of the cuboid

=

long

x

extensive

x

high

Expressed in letters

26

Volume of cube

=

edge

x

edge

x

edge

Expressed in letters

27

The volume of a cuboid and a cube is equal to the "bottom area"

x

High "

Expressed in letters

:V=Sh

28

And the known bottom area. Cylinder volume

=

Jianping

x

high

V=Sh

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2

29

And a known radius.

V=

30

And the volume of the cylinder is calculated according to the known diameter.

V=

3 1

And the volume of the cylinder is calculated according to the known circumference.

V=

32

The volume of a cylinder is related to the area and height of the bottom.

33

The volume, bottom area and height of the cylinder are known.

34

Volume of cone

=

The volume of a cylinder with equal base and equal height.

х

35

And the known bottom area. Cone volume

=

Jianping

x

high

х

V=

36

And the known radius.

V=

37

And the known diameter.

V=

38

And find the volume of the cone.

V=

39

The base area of the cone

=

The volume is high

Cone height

=

Volume, bottom and area

40

Common length unit: kilometer

rice

decimetre

centimetre

millimetre

1

kilometre (km)

= 1000

rice

1

rice

= 10

decimetre

1

decimetre

= 10

centimetre

1

rice

= 100

centimetre

1

Plum, unit of length/weight/area

rice

= 10

millimetre

4 1

Common area unit:

square kilometer

Hectare

square meter

Square DM

Square centimeter

square

millimetre

1

square kilometer

= 100

Hectare

1

Hectare

= 10000

square meter

1

square meter

= 100

Square DM

1

Square DM

= 100

Square centimeter

1

Square centimeter

= 100

square millimeter

Forty two.

Commonly used unit of volume: cubic meters

cubic decimeter

cubic centimeter

1

cubic metre

= 1000

cubic decimeter

1

cubic decimeter

= 1000

cubic centimeter

43

, commonly used unit of volume: liter

millilitre

1

rise

= 1000

millilitre

1

rise

= 1

cubic decimeter

1

millilitre

= 1

cubic centimeter

Forty-four

Advanced unitization, low-level units multiplied by forward speed

Low-level unitization and high-level unitization are divided by the propulsion speed.

45

, the surface area of a cuboid

=

(Dragon

x

extensive

+

long

x

high

+

extensive

x

High)

x2

46

Surface area of cube

=

edge

x

edge

x6

47

If iron blocks, stones and other objects are put into a cylindrical cup, the volume of rising water (cylindrical) and so on.

In the body of an object

Products.

48

Two related quantities,

Changes in quantity,

The other quantity also changes,

And these two quantities correspond to each other.

Two ratios of

(i.e. business)

For sure,

These two quantities are called proportional quantities,

Their relationship is called

In direct proportion.

Expressed in letters:

Relationship:

big

big

small

small

Its image is a straight line.

Forty nine

Two related quantities,

Changes in quantity,

The other quantity also changes,

If these two quantities correspond to each other

The product of two numbers is definite,

These two quantities are called inverse proportional quantities,

Their relationship is called inverse relationship.

Expressed in letters:

Relationship:

big

small

small

big

Its image is a curve.

50

, proportion

=

Map range

÷

actual distance

Map range

=

actual distance

×

Linear ruler

actual distance

=

Map range

÷

Linear ruler

5 1

, distance

=

speed

×

time

speed

=

Travel distance

÷

time

time

=

Travel distance

÷

speed

Fifty two

The circumference of a square is proportional to the length of its sides.

53

The formula used in solving the equation:

addend

=

And-another addend

Another addend

=

Addendum sum

(Supplementary)

minuend

=

Difference+subtraction

subtrahend

=

minus tolerance

(subtraction)

Factor/coefficient

=

Product-another factor

Another factor

=

Product factor

(multiplication)

bonus

=

Quotient × divisor

divisor

=

Dividend dealer

(branch)