Category:
Name:
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)