Asked math problem 25, math problem . Ask?

Let f(x)=x+2500 x, find the minimum value and I'll give you two methods.

Method 1: Recipe.

f（x）=x+2500/x=（x*x+2500）/x(x*x+2500-100x+100x)/x(x*x-100x+2500)/x+100(x-50)(x-50)/x+100

So, when x=50, f(x) has a minimum value of 100

Method 2: Derivative.

Find the derivative of f(x), f(x).'=1-(2500 x*x) when f(x).'=0, i.e., f(x) has a minimum value when x=50.

f(x)=50+2500/50=100.

Whichever method you think is good, you can use it easily. Of course, there are other methods, and I think these two are relatively simple and applicable.

Let x+2500 x=(x 2+2500) x k have x 2-kx+2500 0

k has a minimum value if and only if the above equation = 0, i.e., 100, (x-50) 2=0. At this point x=50

Suddenly, the question is not quite right, whose minimum value is it, and where is the minimum value of x?

Use the mean inequality, i.e., ab(a+b)2)2 or ab(a2+b2)2

a+b≥√（ab） a,b∈r+

Since your a and b are both positive, you can use the mean inequality , then.

x+2500 x (x*2500 x)=500, so the minimum value is 500

When x=2500 x, that is, x=50, x+2500 x takes the minimum value, and the minimum value is.

2* x*2500 x=100, a simple problem, mean inequality. Of course, other methods can be solved, and this method is the easiest.

x+2500 x x*2500 x=50 (mean inequality). If and only if x = 2500 x (i.e., x = 50), the minimum value is 100.

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If you look at the calculation process, ask me if you don't understand something.

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Dear, take a look at the answer to question 15.

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A gives B 26 units, A and B are equal, indicating that A has 52 more units than B, according to the first condition, it can be known that A is 2 times more than B and there are 2 units left, so 2 times the crack slag B + 2 = 52, so B is equal to 25 units, and Zhao Jia A is 77 units, so A plus the family Yuanqing together has a total of 102 units.

In this math problem, we can list the slag blind equation, set A is x Taiwan, B is y Taiwan, according to the meaning of the question, you can list two equations x=3y+2 x-26=y

x=38 y=12

x+y=38+12=50

So the school has a total of 50 computers.

In fact, you don't want to look at this special and don't be stupid, and then the numbers are particularly complicated, not complicated at all, as long as you write down all the numbers and separate them with parentheses, multiply and divide them separately, and you will, you can find it out of the light file.

Let's say Lab B has x computers, 3x+2-26 x+26

Solution, x 25

Therefore, there are 25 Wu Naxian computers in the B Shi Slow Chain Laboratory and 77 computers in the cavity Pai A.

Ji Meng is the simplest.

1/(√1+x)+√x)

(1+x)- x) (1+x)- Bochunqiao x) (1+x)+ Senxian x

Summary. Process: When there are 3 points, the total number of line segments is 3 (3-1) 2 3 I am going to ask a math problem.

There are 15 in total.

There are 2 n(n-1) in total.

That's it? Don't you parse it.

Need to parse yes.

Good. Process: When there are 3 points, the total number of segments is 3 (3-1) 2 3 When there are 4 points, 4 (4-1) 2 6

When there are 5 points, 5 (5-1) 2 10

When there are 6 points, 6 (6-1) 2 15

Write the detailed process for you!

Write the detailed process for you!

What about in **? There are 2 n(n-1) in total.

This is according to the formula of the first question.

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90 degrees, 108 degrees, 162 degrees.

Parse. 360 25% 90 degrees.

360 30% 108 degrees.

360 45 degrees 162 degrees.

Do you have more questions?

Do you have more questions?

Do you have more questions?

Summary. Angle 1 plus angle 3 = 70 degrees, angle 1 + 3 times the angle 3 = 110 degrees, the second part minus the first part twice the angle 3 = 40 degrees, then the angle 3 = 40 2 = 20 degrees.

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Angle 2 = 60 degrees.

Angle 1 = 20 degrees.

Because angle 2 = 3 times the angle one.

The process is detailed, not in the homework gang.

Angle one plus angle 3 = 70 degrees, then angle four plus angle 2 = 110 degrees.

Angle three is equal to angle four, angle 2 = 3 times the angle one, so we can replace it.

Angle 1 plus angle 3 = 70 degrees, angle 1 + 3 times the angle 3 = 110 degrees, the second part of the sedan rock minus the first sail part of the two dry times of the angle 3 = 40 degrees, then the angle 3 = 40 2 = 20 degrees.

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So angle 2 = 3 20 = 60 degrees.

The second part minus the first part is the manuscript brother, what does it mean, and "twice the angle of three 40 degrees, then the angle of the book three is equal to 40 divided by 2 is equal to 20 degrees", this sentence is a key attack, not a problem.

No. No problem at all! This is a simple system of binary equations that can be understood as equation two, minus equation one.

Twice the angle 3 = 40 degrees is equivalent to two angles 3 = 40 degrees, and one angle three is not equal to 20 degrees.

How did you get that twice as many horns?

Equation 2 minus Equation 1.

But three times the first corner is the second corner, what does it mean to mix up the third corner.

On the other hand, isn't the second corner three times the size of the first angle?

Angle 1 = 20 degrees.

Just now it was said that the city corner is three.

Angle 1 + angle 3 703 times angle 1 + angle 3 110

Subtract to give a double angle of 1 110-70

11...122...2 Brother Zaozi Envy 33....311...1(100...02) Rock Hunger (3*11...)1)100...02 3 (2004 0s).

33...34 (2004 3).