The application of the equation of first degree with one variable, In order to meet the increasing demand of water consumption, Kunming recently built three new waterworks a, B and C. the daily water supply of these three waterworks is 118000 cubic meters, of which the daily water supply of B waterworks is three times of that of a waterworks, and that of C waterworks is 10000 cubic meters more than half of that of a waterworks (1) How many ten thousand cubic meters of water can be supplied each day? (2) In the construction of water supply pipeline of water plant a, 600 tons of earth and rock will be transported. The transportation company will send two kinds of trucks, type A and type B, 6 vehicles of type A and 4 vehicles of type B, to transport the earth and rock for 5 times respectively; or 3 vehicles of type A and 6 vehicles of type B, to transport the earth and rock for 5 times respectively? The key is to do (2) questions, (1) questions do not do nothing, but do (1) points plus I'm sorry, but I made a mistake (2) In the construction of the water supply pipeline of water plant a, 600 tons of earth and rock will be transported. The transportation company will send two kinds of trucks, type A and type B, 6 type a trucks and 4 type B trucks, to transport the earth and rock for five times. One type a truck and one type B truck can transport 25 tons of earth and rock. How many tons of earth and rock will each type a truck and each type B truck transport each time?

The application of the equation of first degree with one variable, In order to meet the increasing demand of water consumption, Kunming recently built three new waterworks a, B and C. the daily water supply of these three waterworks is 118000 cubic meters, of which the daily water supply of B waterworks is three times of that of a waterworks, and that of C waterworks is 10000 cubic meters more than half of that of a waterworks (1) How many ten thousand cubic meters of water can be supplied each day? (2) In the construction of water supply pipeline of water plant a, 600 tons of earth and rock will be transported. The transportation company will send two kinds of trucks, type A and type B, 6 vehicles of type A and 4 vehicles of type B, to transport the earth and rock for 5 times respectively; or 3 vehicles of type A and 6 vehicles of type B, to transport the earth and rock for 5 times respectively? The key is to do (2) questions, (1) questions do not do nothing, but do (1) points plus I'm sorry, but I made a mistake (2) In the construction of the water supply pipeline of water plant a, 600 tons of earth and rock will be transported. The transportation company will send two kinds of trucks, type A and type B, 6 type a trucks and 4 type B trucks, to transport the earth and rock for five times. One type a truck and one type B truck can transport 25 tons of earth and rock. How many tons of earth and rock will each type a truck and each type B truck transport each time?


1. Set a daily water supply of X 10000 cubic meters
3x+x+1/2x+1=11.8
X = 24000 m3 a 24 * 3 = 72000 m3 B
2.4 / 2 + 1 = 22000 m3 C
2. Each type a vehicle is set to transport x tons of earth and rock each time
600 / 5 = 120 tons
(120-6x)/4=(120-3x)/6
X = 10 tons type A
(120-6 * 10) / 4 = 15t type B



Solve the application problem of one variable equation of first degree
A shopping mall is selling dolls and badges. If you buy a doll and a badge, it costs 135 yuan. If you buy two dolls and three badges, it costs 280 yuan
Formula, big brother, the solution of the equation of one variable once!


Let's say the doll's x-dollar badge is 135-x
2X+3*(135-X)=280
X=125
Doll 125 badge 10 yuan



Application of solving linear equation of one variable
A group of children are wearing hats, boys are wearing yellow hats, and girls are wearing red hats. One of the boys said, "I see as many red hats as yellow hats." one of the girls said, "I see twice as many yellow hats as red hats." please make sure how many boys and how many girls are in the group?


If x is male, X-1 is female
X=2[(X-1)-1]
X=4
A: there are four boys and three girls in this group



One variable equation application problem (as long as the solution and equation on the line, I solve,
It takes 2 hours for a ship to run from a to B, and 2.5 hours for a ship to run against the current from B to a. the current velocity is 3 km / h, and the speed of the ship in still water is calculated
When an airplane flies between two cities, it takes 5 hours and 30 minutes to go downwind, 6 hours to go upwind, and the wind speed is 24 kilometers per hour?
For a highway, it takes 80 days for Party A to build it alone, and 120 days for Party B to build it alone. Now Party A and Party B will build it together, and how many days will it take to complete it? If Party A and Party B cooperate for 30 days, and the remaining party B will build it alone, how many days will it take?


1、 Let the ship still water speed be x km / h, because the distance is the same, so 2 (x + 3) = 2.5 (x-3) 2. Let the distance between the two cities be x km, because the speed of the aircraft itself is the same, so (x / 5.5) - 24 = (x / 6) + 24 3. 1. The highway length is x km



Find the maximum and minimum of function f (x) = | x2-4 | - 3x on [- 2,5]


The absolute value should be removed first, so it can be divided into the following two cases:
(1) When 2



In ABC
∠A=120°
AB=2;
AC=1;
O is the outer center of ABC
Vector Ao = μ vector AB + β vector AC
Finding μ + β


Let a point coordinate be (0,0), B (1,0), C (- 1, √ 3) O (x, y) o point be the outer center, then the distance from o point to a, B, C is equal, then we can get x = 1 / 2, y = 5 √ 3 / 6ao vector = (1 / 2,5 √ 3 / 6) AB vector = (1,0) AC vector = (- 1, √ 3) so we have μ - β = 1 / 2 √ 3 β = 5 √ 3 / 6, we get μ = 4 / 3 β = 5 / 6, so μ



In triangle ABC, Bo and Co are bisectors of angle ABC and angle ACB respectively. If < BOC = 127 degrees, then < a=____
Answer questions quickly,


According to the internal angle of triangle and 180 degree
∠A+∠B+∠C=180°
∠O+(∠B+∠C)/2=180°、
∠A=180°-2(180°-∠BOC)=74



New definition operation: a ⊙ x = B is like a kind of problem with unknown number


In the way of substitution
For example: a@b=3a+b
3@x=10
3×3+x=10
9+x=10
x=10-9
x=1



(Mathematics) it is known that a = (10, - 4), B = (3,1), C = (- 2,3), try base B, C stands for a (letter stands for vector)
Urgent need!!! Quick return


3m-2n=10
m+3n=-4
The solution is m = 22 to 7
N = - 2 to 7
A = 22b of 7-2c of 7



In the isosceles triangle ABC, the angle ABC is 120 degrees, the point P is a moving point on the bottom AC, m and N are the midpoint of AB and BC respectively, and PM + PN is the minimum
P is the midpoint of AC
How to verify


The topic means to find the minimum distance between a point on the edge of AC and m, N. this topic can be imitated by the method of asking people to lead a horse to the river to drink water. Make m symmetry point m 'about AC, and then connect M' n. the intersection of M 'n and AC is the point P. make mm' ⊥ AC in D, NE ⊥ AC in E. principle: because m, M 'are symmetrical about AC, so MD = m'd