Characteristics of cylinder and cone fast

Characteristics of cylinder and cone fast


Cylinder:
The side expansion is a rectangle
The top and bottom surfaces are the same circle
So it's a circle from the top
It's a rectangle when viewed horizontally from the side
It can be obtained by rotating a rectangle around an edge
It's axisymmetric
The length of one side of the rectangle expanded on the side is equal to the perimeter of the bottom
All generatrix are equal in length and equal to the height of the cylinder
The longitudinal section is a rectangle
The cross section is circular
The oblique section is oval
Cone:
The side spread is a fan
Only the bottom is round
So it's a circle from the top
It's an isosceles triangle viewed horizontally from the side
It can be obtained by the high rotation of isosceles triangle around the base
It can also be obtained by rotating a right triangle around a right side
It's axisymmetric
The arc length of the side expanded sector is equal to the perimeter of the bottom circle
The cross section is a circle
The longitudinal section is an isosceles triangle
All bus bars are equal in length
The length of the bus is greater than the height of the cone



Cylinder. Characteristics of cone


The difference between cylinder and cone: the cylinder side view is rectangular (or square), the normal section is also rectangular (or square), and the top and bottom surfaces are equal
The expanded view of the side of a cone is fan-shaped, the normal section is also triangular, and the top and bottom surfaces of the cylinder become a cone when they shrink to a point



What are the characteristics of a cylinder and a cone
(no less than 5 characteristics of each) the most important


Cylinder: the side unfolding is a rectangle, the top and bottom surfaces are the same circle, so it's a circle from the top, and it's a rectangle from the horizontal view. It can be obtained by rotating the rectangle around an edge, which is axisymmetric. The length of one side of the rectangle is equal to the perimeter of the bottom, and the length of all generatrix is equal to the height of the cylinder



Xiaohua wants to help her mother do the following things on weekends: washing clothes with the washing machine takes 20 minutes; sweeping the floor takes 6 minutes; cleaning furniture takes 10 minutes; drying clothes takes 5 minutes. After reasonable arrangement, it takes her at least () minutes to finish these things
A. 21B. 25C. 26


The reasonable arrangement of time is shown in the figure below, 20 + 5 = 25 (minutes), so it will take at least 25 minutes to finish these tasks



How many pears are there? How many children?
I'm in a hurry


Do you know the equation?
X children
Then 4x + 9 = 5x-6
Then x = 15
There are 69 pears
I don't think so
How to make each person have 5 pears
Look at the topic, 5 for each person, 6 less
That is to say, another six pears can be five for each
Compared with 4 pears per person, there were 15 more pears
There are 15 people



The kindergarten teacher gives the children apples and pears. The number of apples is twice that of pears. Each child has three pears, four more; each child has seven apples, five less
How many children? How many apples? How many pears? We have to use the equation to solve,


Suppose there are x apples and 2x apples
(x-4)/3=(2X+5)/7
7×(x-4)=3×(2x-5)
7x-28=6x-15
x=13
(13-4)/3=3
Answer 3 children 13 apples
I hope it's in time



6. On children's day, the teacher bought 64 apples and 80 pears and gave them to the children in the kindergarten on average. Just after that, how many children are there in this class at most


Up to 16 children
The greatest common divisor of 64 and 80 is 16



There is a teacher who has five apples and six pears. How should he give them to five children?


Cut one of the six pears into five parts. A child has a pear, an apple and a portion of the pear



The kindergarten teacher gives a pile of pears and apples to the children. The number of apples is twice that of pears
Take four apples and three pears and give them to the children. Then, after taking () times, there will be one pear and eighteen apples left


8 times
If we take x times, then we have
2(1+3x)=18+4x
Take three pears at a time, and the last one is left, so there are 1 + 3x pears. Similarly, there are 18 + 4x apples. Because the number of apples is twice that of pears, the number of solutions is 8



A group of children are divided into a pile of pears. One person has more than one pear, one person has two pears, and one person has less than two pears


There are x children
X + 1 = 2x-2, the solution is x = 3,
Then there are x + 1 = 3 + 1 = 4 pears
A: there are three children and four pears