The function f (x) = x square / 1 + x square is known 1. Find f (2) and f (1 / 2), f (3) and f (1 / 3). 2. From the results obtained in (1), can you find the relationship between F (x) and f (1 / x)? And prove your discovery. 3. Find f (1) + F (2) +. + F (2012) + F (1 / 2) + F (1 / 3) +. + F (1 / 2012)

The function f (x) = x square / 1 + x square is known 1. Find f (2) and f (1 / 2), f (3) and f (1 / 3). 2. From the results obtained in (1), can you find the relationship between F (x) and f (1 / x)? And prove your discovery. 3. Find f (1) + F (2) +. + F (2012) + F (1 / 2) + F (1 / 3) +. + F (1 / 2012)


As a result of 4 / 5F (1 / 2) = 4 / 5F (1 / 2) = 4 / 5F (1 / 5 / 4) = 1 / 4 (5 / 4) = 1 / 5F (3) = 9 / 10F (1 / 3) = 9 / 10F (1 / 9 / 10 (1 / 9 / 10 / 9) = 1 / 10 (1 / 9 / 10 / 10 / 10 (1 / 9 / 10 / 10 / 10 (1 / 9) / (1 / 4 / 4) = 1 / 4 (5 / 5 / 5 / 4) = 1 / 5F (5 / 5 / 5F (3) = 9 / 10 (1 / 9 / 9 / 10 / 10 / 10 (1 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 (10 / 10 / 10 / 10 / 10 / 10 / 9 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 / 10 (1 / 10 / 9) = 1 / 10 / 10 / 10 (1 / 10 / 10 / 10 / 10 / 10 / 10 1) = 1, so f (1) + F (2) +



Given the function f (x) = the square of X + 1, then f (x-1) =?


A:
f(x)=x²+1
f(x-1)=(x-1)²+1=x²-2x+2
So:
f(x-1)=x²-2x+2



If F X satisfies f X-1 = x squared - x + 1, then f 2=


x-1=2
x=3
So f (2) = f (3-1) = 7
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If f (x) = x2 + | X-2 |, then f (1)=______ .


∵ f (1) = 12 + | 1-2 | = 1 + 1 = 2, so the answer is: 2



When the angle between them is 90 degrees, the resultant force is 20n. When the angle between them is 120 degrees, what is the resultant force?


Because the force F1 and F2 of the same magnitude, when their angle is 90o, the resultant force is f,
So F1 = F2 = radical 2 * f / 2
When the angle is 120 degrees
Resultant force = 2 * (radical 2 * f / 2) * cos60 = radical 2 * f / 4



When the angle between the two directions is 90 degrees, the resultant force is F. when the angle between the two steering wheels is 120 degrees, the resultant force is f


Suppose that the magnitude of each force is F1, then when the angle between them is 90 degrees, there is f = F1 * root 2
F1 = f / radical 2
When the angle between them is 120 degrees, the size of the resultant force is equal to the size of any component force, that is, the size of the resultant force is
F = F1 = f / radical 2



When the angle between them is 90 degrees, the resultant force is F. when the angle between them is 120 degrees, the resultant force is greater


From the triangle rule, we know that the component force is f / radical 2, so we can calculate that the resultant force is equal to the component force at 120 degrees
F / radical 2



When the angle between them is 90 degrees, the resultant force is F. when the angle between them is 60 degrees, how much is the resultant force?


When the angle is 90 ° and the resultant force is f, then the component force is √ 2F / 2
Then when the angle between the two √ 2F / 2 forces is 60 °, the resultant force is: √ 6F / 2



In the tenth a, a is a non-zero natural number; when a = (), its size is equal to 2


In the tenth a, a is a non-zero natural number; when a = (20), its size is equal to 2



If 3 / 5 of a is equal to 2 / 3 of B, then the sum of a and B


3A / 5 = 2B / 3, a = 10B / 9 ∵ B is a natural number, a is a natural number, so the minimum value of B is 9, and a = 10
A B = 19 minimum