Mathematical golden section formula It's a formula for finding long and short line segments

Mathematical golden section formula It's a formula for finding long and short line segments

Longer times shorter = square of middle length
The minimum value of the algebraic formula (a-b) ^ 2 + 5 is
Because (a - b) ² ≥ 0
So (a - b) ² + 5 ≥ 5
So the minimum is 5
Because (a-b) ^ 2 is always greater than or equal to 0, the minimum value of (a-b) ^ 2 is 0
So the minimum value of algebraic expression is 5
Given the complete set I = R, if the function f (x) = x'2-3x + 2, the set M = {X! F (x)=
If x ^ 2-3x + 2 ≤ 0, X ∈ [1,2]
So m = [1,2]
F '(x) = 2x-3 ＜ 0, X ∈ (- ∞, 3 / 2)
So n = (- ∞, 3 / 2)
So Cun = [3 / 2, + ∞)
So m ∩ Cun = [3 / 2,2]
The petal number of most plants conforms to: A. golden section B. prime law C. Fibonacci sequence
The number of petals of most plants conforms to the C. Fibonacci sequence
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If the polynomial P = 2a2-8ab + 17b2-16a-4b + 2000, find the minimum of P
From the meaning of the question, we get P = A2 + a2-8ab + B2 + 16b2-16a-4b + 2000, = (a2-16a + 64) + (a2-8ab + 16b2) + (b2-4b + 4) + 1932, = (A-8) 2 + (a-4b) 2 + (b-2) 2 + 1932, ∵ to make p minimum, then = (A-8) 2, (a-4b) 2, (b-2) 2 are minimum, they are non negative numbers, so the minimum value is 0, ∵ the minimum value of P is 1932
X ∈ R, X & # 178; - 2aX > - 3x-a & # 178;, find the value range of real number a
It's a process
x²-2ax>-3x-a²
x²-2ax+3x+a²>0
x²-(2a-3)x+a²>0
(2a-3)²-4a²
What is the golden section
(radical 5) - 2 / 2
That's 0.618
zero point six one eight
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The golden ratio is 1:0.618
618 or 1. 618 ∶ 1
zero point six one eight
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﹙√5－1﹚／2
The minimum value of P = 2A ^ 2-8ab + 17b ^ 2-16a-4b + 2000
Given the complete set I = R, a = {x | x2-3x + 2 ≤ 0}, B = {x | x2-2ax + a ≤ 0, a ∈ r}, if B ⊆ a, find the value range of real number a
A = {x | x2-3x + 2 ≤ 0} = {x | 1 ≤ x ≤ 2}, (2 points) ① if △ = 4 (a2-a) ＜ 0, i.e. 0 ＜ a ＜ 1, B = ∞, B ⊆ a, i.e. 0 ＜ a ＜ 1 (5 points) ② if △ = 4 (a2-a) ≥ 0, i.e. a ≥ 1 or a ≤ 0, B = {x | x2-2ax + a ≤ 0, a ∈ r} = {x | a − A2 − a ≤ x ≤ a + A2 − a}, because B ⊆ a
Given that point C is the golden section of line AB and AC > BC, then ()
A. AB2=AC•CBB. CB2=AC•ABC. AC2=BC•ABD. AC2=2BC•AB
According to the definition of line segment golden section, ac2 = BC · ab