What's the difference between translation and distance

What's the difference between translation and distance


First of all, conceptually, displacement is the linear distance from the initial position to the final position of a moving object, and the distance is the trajectory. Secondly, displacement is a vector with direction, while the distance is a scalar with size and no direction
For example, a 100 meters east and then 100 meters west, displacement 0 meters, 200 meters



Mathematician's story, less than 50 or 40 words, not 15 and 20 words. Urgent!
I want to write information, please try to answer in these three days


When Gauss was in primary school, once after the teacher taught addition, because the teacher wanted to have a rest, he gave a question to the students to calculate. The question was: 1 + 2 + 3 +. + 97 + 98 + 99 + 100 =? The teacher thought, now the children must calculate until the end of the class! When he was about to go out, he was stopped by Gauss! Originally, Gauss has worked it out, Do you know how he calculates it? Gauss tells you how he calculates it: add 1 to 100 and 100 to 1 in two rows, that is, 1 + 2 + 3 + 4 +. + 96 + 97 + 98 + 99 + 100, 100 + 99 + 98 + 97 + 96 +. + 4 + 3 + 2 + 1 = 101 + 101 + 101 +. + 101 + 101 + 101 + 101 + 101, there are 100 101 in total, but the formula is repeated twice, So dividing 10100 by 2 will get the answer, which means that the learning process of Gauss primary school has already surpassed other students since then, which has laid the foundation for his future mathematics and made him a mathematical genius!



Give five examples
The example of glory despite defeat is more classic


In 1968, at the Mexico City Olympic Games, Tanzanian athlete ahawali was injured in the process of participating in the marathon. When he limped across the finish line with bandage and bleeding leg, tens of thousands of people in the venue were solemn. The audience stood up and clapped for a long time



There are 200 fruit trees in a mixed orchard, including 50 peach trees, 40 pear trees, 30 apricots and the rest apple trees
(1) The number of peach trees accounted for (), pear trees accounted for (), apricot trees accounted for (), apple trees accounted for ()
(2) The number of pear trees is ()% of the number of peach trees, and the number of apple trees is ()% of the number of peach trees
(3) The number of apricot trees is ()% of the number of pear trees, and the number of pear trees is ()% of the number of apple trees


There are 200 fruit trees in a mixed orchard, including 50 peach trees, 40 pear trees, 30 apricots and the rest apple trees
(1) Peach trees account for (25)%, pear trees account for (20)%, apricot trees account for (15)%, apple trees account for (40)%
(2) The number of pear trees is (80)%, and that of apple trees is (160)%
(3) The number of apricot trees is (75)% of the number of pear trees and (37.5)% of the number of apple trees,



Examples of sliding friction, rolling friction and static friction in life


Static friction is the friction between objects without relative motion. For example, when holding a cup in hand, there is no relative motion between the cup and the hand, but the cup does not fall. It is the static friction provided by the hand to the quilt. When people walk, the friction between the sole of the foot and the ground; when they will dock, the friction between the cable and the pile; when they are still



1. The radius of the bottom of a cylinder is 11cm, the height is 2.5cm, and the side of the cylinder is expanded along the height. The perimeter of the side expansion is () cm, and the side area is () square cm
2. The side area of a cylinder is 37.68 square decimeters, its height is 2 decimeters, and its bottom radius is () decimeters
3. To make a chimney with a bottom diameter of 20cm and a length of 90cm, it needs at least () square decimeter of iron sheet
4. After connecting three small cylinders of the same thickness into a large cylinder, the surface area is reduced by 113.04 square centimeters, and the bottom area of the large cylinder is () square centimeters
5. There are () methods to encircle the side of a cylinder with a rectangular paper of 21.98cm in length and 15.7cm in width. One is () cm in height and () cm in bottom diameter; the other is () cm in height and () cm in bottom diameter


① 143.16 172.7
② 3
③ 5652
④ 18.84
⑤ 2 21.98 5 15.7 7



What are sliding friction and rolling friction in life (give three examples each)


Sliding: conveyor belt carrying things (objects are still accelerating)
Drag a box, move a table, etc on the ground
Rolling: wheel of bicycle, rolling of football, fixed pulley and rope



A cuboid swimming pool is 6 meters long, 5 meters wide and 2 meters high
There are x red flowers, and the number of white flowers is three times that of red flowers. The number of yellow flowers is 8 meters less than that of red flowers. There are () white flowers, () yellow flowers, and () red flowers and white flowers. There are () red, yellow and white flowers
Pour 64 liters of water into a cuboid water tank 8 decimeters long and 2.5 decimeters wide, which is just full. The water tank is () meters deep


1.30 60
2.3x x-8 4x 5x-8
3.0.32



Please give some examples of angles produced by rotation


The rotation of hands on folding fans, clocks and watches



Two math fill in the blanks (very simple)
1 sq km = () ha
1 sq m = () sq km
1 ha = () m2


1 sq km = (100) ha
1 sq m = (0.000001) sq km
1 ha = (10000) m2
There's an extra zero upstairs!