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What is Fibonacci sequence?
Fibonacci sequence, also known as golden section sequence, refers to such a sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21 In mathematics, Fibonacci sequence is defined recursively as follows: F0 = 0, F1 = 1, FN = f (n-1) + F (n-2) (n > = 2, n ∈ n *) in modern physics, quasicrystal structure, chemistry, etc
What is the law of Fibonacci sequence [1,2,3,5,8,13,21,.]
1+2=3
2+3=5
3+5=8
And so on
Understand?
The sum of the first two numbers equals the third number
What rules of life obey Fibonacci sequence
You can see page 65 of volume two of grade six
Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34
The division of human cells in life follows this rule
A mathematical problem about golden section
When a steel mill is refining a special section steel, it is necessary to add other substances at a certain temperature after the steel is melted (2080 ℃ ~ 2280 ℃). During the experiment, if you are an engineer, what is the appropriate temperature?
(2280-2080)*0.618=123.6
2080+123.6=2203.6
or2280-123.6=2156.4
The suitable temperature is 2156.4 or 2203.6
Understanding optimization
RELATED INFORMATIONS
- 1. A mathematical problem about golden section It is known that P and Q are the golden section points of line AB, and PQ = 2cm The answer is (root 5 + 4) / 2, but how is it calculated? I hope you can help me explain,
- 2. Please help solve the following math problem (about golden section). Thank you-- It is known that the length of AB is the following sign 10, and C is divided into two parts: AC = (five times of the following sign 2 - root sign 10) / 2, BC = (three times of the root sign 10 - five times of the root sign 2) / 2 Verification: C is the golden section of line AB (write the specific process)
- 3. Point C is the golden section point (AC > BC) of line ab. if AB = 2, then AC = 2___ (denoted by root)
- 4. How to judge the positive and negative of the root of an equation by Weida's theorem
- 5. If ax ` 2 + BX + C = 0 (a ≠ 0) has two roots, which are 2,3, then find the root of Cx ` 2 + BX + a = 0
- 6. It is known that the quadratic equation AX2 + BX + C = 0 with respect to X has no real roots. If a misinterprets the quadratic coefficients and obtains two of them as 2 and 4, and B misinterprets the sign of the quadratic coefficients and obtains two of them as - 1 and 4, then the value of 2B + 3CA is () A. 2B. 3C. 5D. -6
- 7. X1.x2 is x ^ 2 + X-2 = 0, X1 + x2 =?
- 8. According to the social needs, the municipal government held a hearing on the price of tap water and decided to adjust the price of tap water from April this year. Some information about the price of domestic water after adjustment is as follows: & nbsp; & nbsp; & nbsp; & nbsp; unit price of water consumption (M3) (yuan / m3) & nbsp; the part within 5M3 (including 5M3) 2 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; It is known that xiaojingjia and Xiaolei paid 19 yuan and 31 yuan respectively in May, and the water consumption of Xiaolei is 1.5 times of xiaojingjia's
- 9. 1. 2X + 3Y = 1,2,2 of X + y + 4 of X-Y = 4 3x-5y=68 4（x+y)-3(x-y)=12
- 10. `Mathematics is formulated by a quadratic equation of two variables It is known that the length of a railway bridge is 1400 meters. Now there is a train passing through the bridge. It takes 1 minute and 20 seconds for the train to get on the bridge. The time for the whole train to be completely on the bridge is 1 minute. Find the speed and length of the train`
- 11. The golden section ratio should be an expression with a root sign
- 12. Golden section ratio formula, the five, root five - 1 / 2, root five + 1 / 2
- 13. What does "golden section" mean?
- 14. Let P, Q, a and B be any four points, then PA Λ 2-pb Λ 2 = QA Λ 2-qb Λ 2 ＜ = > pq⊥ ab
- 15. It is natural and appropriate for the mathematics presenter to stand at the golden section of the stage when hosting the program When the stage was 20m, he asked how far to stand from the left end. Is it 12.36 or 7.64? It seems that we usually take 7.64 instead of 12.360. Why? He doesn't ask how far it is from the left end, why can't we take 12? Isn't it the golden section
- 16. When the host standing position P is the golden section point of stage AB, the sound effect is the best. So you think the distance of AP should be equal to () A. 10 m B.10 (root 5-1) m C.10 (3-root 5) m d.10 (root 5-1) or 10 (3-root 5) M
- 17. C is the golden section point of line AB, find the value of AC / BC
- 18. The golden section is 0.618 0.236 what else
- 19. What are the special numbers! Such as golden section! PI! What are the special numbers! Such as golden section point 0.618! PI 3.14 It's better to have all of them
- 20. A row of regular numbers, along the number of golden section point number is 1, inverted number of golden section point number is? Thank you very much It's a row, like - 9. - 8. - 7 9.8.7