On Inequality: find y = (√ x square + 2x + 2) + (√ x square - 4x + 8)_ Minimum value of | Math enthusiast | Mathematical art

On Inequality: find y = (√ x square + 2x + 2) + (√ x square - 4x + 8)_ Minimum value of

Y = (√ (x + 1) ^ 2 + (0-1) ^ 2) + (√ (X-2) ^ 2 + (0-2) ^ 2)
It is equivalent to the sum of the distances from point (x, 0) to point a (- 1,1) and point B (2,2)
Find a about X-axis symmetric point A1 (- 1, - 1) A1B, length 3 √ 2 is the minimum value

RELATED INFORMATIONS

1. The master and the apprentice process the same amount of the same machine parts at the same time. When the master processes half of the parts, there are 102 apprentices left. When the master finishes, the master will finish The ratio is 5:4! (explain with formula)
2. The master and the apprentice process the same number of machine parts at the same time. When the master completes 50%, the apprentice takes 102 unfinished parts: when the master completes the task, the apprentice will finish the task The ratio of the number of parts processed by master and apprentice is 5:4?
3. The master and the apprentice process a batch of parts. The apprentice completes 40% of the total. The master processes 80 more parts than the apprentice. How many masters?
4. The master and the apprentice processed a batch of parts. The apprentice finished 40% of the total, and the master processed 240 parts. How many parts are there in total? (solution of a series of equations)
5. How many parts are produced by apprentices in each batch? (the total number of apprentices in each batch is 8 hours.)
6. The master and the apprentice worked together to make a batch of parts. The apprentice made a total of 27 parts, 21 less than the master. How many parts are there in this batch?
7. It takes 20 hours for the master to work alone, 30 hours for the apprentice to work alone, and how many hours for the two to work together? When completing the task, the master made 96 more parts than the apprentice. How many parts are there in total?
8. It takes 37 hours for the master and the apprentice to process a batch of parts. The apprentice can process 30 parts per hour. Now the master and the apprentice process them at the same time. When they finish the task, the number of parts processed by the apprentice is 59 times that of the master?
9. It takes 15 hours for the master and the apprentice to process a batch of parts. The apprentice processes 30 parts per hour and completes the task at the same time. The number of parts processed by the apprentice is 5 / 9 of the master's
10. The master and the apprentice process a batch of parts. The number of parts processed by the master is 25 more than the total number of 12. The number of parts processed by the apprentice is 13 times that of the master. How many parts are there in total?
11. It is known that ∠ 1 and ∠ 2 are opposite vertex angles, and ∠ 1 and ∠ 3 are adjacent complementary angles, then ∠ 2 + 3 is equal to? 2. When two lines intersect, there are two pairs of vertex angles. When three lines intersect, there are six pairs of vertex angles. So how many pairs of vertex angles are there when n lines intersect?
12. 1, 2 and 3 are the three internal angles of a triangle, 1 = 30 degrees, 2 = 40 degrees, 3 = () degrees. This is the () triangle 1 = 40 degrees 2 = 50 degrees 3 = () degrees this is a () triangle 1 = 50 degrees 2 = 60 degrees 3 = () degrees this is a () triangle 1 = 80 degrees 2 = 60 degrees 3 = () degrees this is a () triangle Get it right, there's a prize
13. At least one angle in the triangle is greater than or equal to: 45 degrees, 55 degrees, 60 degrees, 65 degrees?
14. (1/50-1)(1/49-1)(1/48-1).(1/4-1)(1/3-1)(1/2-1) Simple algorithm! Fast! Detailed process!
15. 12+（13+23）+（14+24+34）+… +（150+250+350+… +4850+4950）．
16. There are 341 pine trees in a primary school, which are divided into three grades. One fifth of the total in Grade 6 is equal to one fourth of that in Grade 5, and two thirds of that in grade 4 There are 341 pine trees in a primary school, which are divided into three grades. One fifth of the total in Grade 6 is equal to one fourth of the total in Grade 5 It's equal to 1 / 2 of the fourth grade. How many trees are there in each of the three grades?
17. Take any 27 natural numbers from 1-50 nature books, and two of them must have a sum of 52. Why?
18. From 51 to 100, choose any 27 numbers, and the sum of two numbers must be equal to 152. Why
19. Take 2 numbers from the 100 natural numbers 1-100, what is the probability that their sum is less than or equal to 50? How to calculate? It's not the same after checking for a long time! I think we can only take two numbers from 1 to 49, because as long as there is one number greater than or equal to 50, we can't do it. So I think the numerator should be C above 2 below 49, and the denominator should be C above 2 below 100,
20. If you add a number to the numerator and denominator of 5 / 23 at the same time, it will be about 2 / 3. What's the number