In a long-distance race of S, Xiao Ming runs half the distance at speed V1 and the other half at speed V2, while Xiao Gang runs half the time at speed V1 and the other half at speed V2 (V1 ≠ V2). Please analyze which of Xiao Ming and Xiao Gang will win the race according to the conditions provided by the title (Note: there should be sufficient reasons and analysis process)

In a long-distance race of S, Xiao Ming runs half the distance at speed V1 and the other half at speed V2, while Xiao Gang runs half the time at speed V1 and the other half at speed V2 (V1 ≠ V2). Please analyze which of Xiao Ming and Xiao Gang will win the race according to the conditions provided by the title (Note: there should be sufficient reasons and analysis process)

Xiao Ming's time is s / 2v1 + S / 2v2, and Xiao Gang's time is 2S / (V1 + V2)

The second volume of the eighth grade is divided examination paper!
1. The equation 1 / (x-3) + K / (x + 3) = (3 + k) / (x ^ 2-9) of X has an increasing root, so we can find the value of K
2. Given (3x-4) / (x-1) ((X-2) = A / (x-1) + B / (X-2), find integers a and B
3. The value of the fractional equation 4x / (X-2) - 5 = m / (2-x) is known
4. Given that real numbers m and N satisfy 1 / (M + n) + 1 / (m-n) = n / (m ^ 2-N ^ 2), find the value of 2Mn + n ^ 2 / m ^ 2
5. A company invests in a project, and two engineering teams (team a and team B) can contract the project. According to the company's investigation, team B takes twice as long to complete the project alone as team A. It takes 20 days for team a and team B to complete the project together. The daily work cost of team a is 1000 yuan, and that of team B is 550 yuan, Which engineering team should the company choose? How much should the company pay for the engineering team?
6. Given x ^ 2 + 3x + 1 = 0, find the value of x ^ 2 + 1 / x ^ 2
Correction: 3. Given that the fractional equation 4x / (X-2) - 5 = m / (2-x) has no solution, find the value of M

1. - (3 / 7) or 3
2、A=1,B=2
3. The third question is not clear

Test questions of fractional inverse proportion function
Fill in the blanks (5X4 = 20)
1. If the area of the rectangle is 6cm2 and the length is xcm, then the functional relationship between the width y (CM) and the length x (CM) of the rectangle is ()
2. There are 346 hectares of cultivated land in a village, and the population N changes year by year, so the per capita cultivated land area m (HA / person) is a function of the population n of the village, and the relationship is ()
3. The price of a kind of fruit is a yuan per kilogram, B kind of fruit is B yuan per kilogram. Take M kg of a kind of fruit and N kg of B kind of fruit. After mixing, the average price per kilogram is ()
4. Given a + B = 3, ab = 1, then the value of A2 + B 2 is equal to ()
5. If the image of the inverse scale function is in the first and third quadrants, then the value range of M is (). In each quadrant, y decreases with the increase of X ()
Multiple choice question 6X5 = 30
1. The following four points are ()
A．（1,1） B．（－1,2）
C．（1,－2） D．（1,2）
2. If s is positively proportional to S1, and S1 is inversely proportional to a, then s and a are ()
A. Positive proportion B. negative proportion
C. First order function D. second order function
3. Which of the following functions are inverse scale functions
（1）y=-3x； （2）y=2x+1； （3） y= ；（4）y=3(x-1)2+1；
4. The result of calculation is ()
（A） （B） （C） （D）
5. The result of calculation is ()
（A） （B） （C） （D）
Answer question (50 = 12 + 10 + 12 + 6 + 10)
1. It is known that the volume of a cuboid is 100 cubic centimeters, its length is YCM, its width is 5cm, and its height is xcm
(1) Write out the functional expression of length with height;
(2) Write the value range of the independent variable x;
(3) When x = 3cm, find the value of Y
2. Calculation
、 2．
3. Solve the equation
（1） （2）
4. Given (a +) (- 1) /, where a = 99, find the value of the original formula
5. The distance between a and B is 40km. One hour after a starts from a by bike, B starts from a, and pursues at a speed equivalent to 1.5 of A. when a pursues B, a arrives 20 minutes ahead of B to find the speed of a and B

1.X=6/Y 2.m=360/n 3.(am+bn)/(n+m) 4.7 5.

1:1 () + 1:1 () + 1:1 () + 1:1 () = 1. Fill in different natural numbers in brackets to make the equation hold

1 (6) + 1 (12) + 1 (4) + 1 (2) = 1. Fill in different natural numbers in brackets to make the equation hold
The above scores are negative
1/4 = 3/12 = 1/12 + 2/12 = 1/12 + 1/6

41 out of 420 is a fraction of one plus a fraction of one

41/420=21/420+20/420=1/20+1/21

41 out of 420 is equal to a fraction of 1 plus a fraction of 1 10100 / 201 = () / 1 + () / 1

420 = 21 × 20, 41 = 21 + 20, so 41 / 420 = 1 / 21 + 1 / 20
Similarly, 201 / 10100 = 1 / 100 + 1 / 101

A twelfth is a fraction plus a fraction plus a fraction

It should be different numbers
The first 1 / 12 = 10 / 120 = 1 / 120 + 4 / 120 + 5 / 120 = 1 / 120 + 1 / 30 + / 124
The second one is 1 / 12 = 10 / 120 = 1 / 120 + 3 / 120 + 6 / 120 = 1 / 120 + 1 / 40 + 1 / 20

What's a quarter and what's a quarter?

1/12+1/6