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I happen to be the opposite of you. My equations are better. First of all, the unknowns must be clear, and it will not be difficult in the future.
These methods are only a transitional role, and it is not necessary to really learn the equations well.
Plus a point: when you look at the question, you look at the problem first, and then look carefully at what conditions are available, and see which ones are known and which are unknown. Then think about what conditions are needed to ask for an answer, then use the known conditions to obtain those conditions (some simple questions will give those conditions directly), and finally find the answer.
Solving a problem with a one-dimensional equation is nothing more than changing the answer or the conditions needed to find the answer to x, so as to better analyze the problem.
If you're good at math, it's not too difficult to have a one-dimensional equation. Here's the general format of a univariate equation:
Solution: (The question is copied, except that "what" is changed to x or according to the meaning of the question).
According to the meaning of the topic (the general language, you can omit a lot of words to explain, which is deeply loved by the teachers and students in the majority of middle schools): column formula (that is, you substitute x into the formula, just like you check the arithmetic, and use x as the answer to find the known conditions).
Solving equations (that is, you are going to solve equations).
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A meta-primary equation is an equation that contains one unknown and the highest number of unknowns is 1.
The general steps to solve a unary equation are:
1. Remove the denominator.
2. Remove parentheses.
3. Transform the equation into the form ax+b=0 (a is not equal to 0) 4. Shift: Transform the equation into the form ax=-b.
5. The coefficient of the unknown is 1: x=-b a is obtained
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Anyway, listen well in class. Then just do more questions. Hehe, you also need to have a certain level of understanding.
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The solution of a unitary equation is as follows:
1. The first step: the column square is equipped with a cover program.
Just like when we first learned how to solve a one-dimensional equation, we first list the equations.
2. The second step: move the item.
Shifting is to put the unknowns on one side of the equation and the constants on the other side, which is convenient for us to solve the equation.
3. The third step: turn the unknown coefficient to 1
In order to solve this equation, 2 needs to be divided by 2 on both sides; Here both sides of the equation are multiplied or divided by a number at the same time, and the equation remains the same.
4. Step 4: Solve the equation.
So we get the results.
5. Step 5: Practice.
After learning how to solve a one-dimensional equation, you should practice more, use it skillfully, and be able to draw inferences from one another. Don't be lazy and practice.
A univariate equation is an equation that contains only one unknown, the highest order of the unknowns is 1, and both sides are integers. Unary linear equations have only one root. Unary equations can solve most of the engineering problems, travel problems, distribution problems, profit and loss problems, integral table problems, billing problems, and number problems.
It can also be applied to physical and chemical calculations. For example, in production and life, the depth of the liquid is calculated by substituting the equation by substituting the equation for a certain density and pressure of a certain liquid. For example, to calculate the atmospheric pressure is approximately equal to how high the water column is, and it is known that the atmospheric pressure is about 100,000 Pascal.
The density of water is approximately equal to 1000 kilograms per cubic meter. g is about equal to 10 meters per square second (10 N per kilogram), then the height of the water column can be set to be h meters, the column equation is 1000*10h=100000, and the solution is h=10, and the atmospheric pressure is about equal to the pressure generated by the water column of 10 meters.
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a+b+c=0
b+c=-a
c+a=-b
a+b=-c
So the original style of holding socks = -a |a|-b Stupid|b|-c/|c|Because -x |x|The value range of the range is simplified, when x>0is -1, x<0, is 1 because abc >0, i.e., a, b, c one of the three "0", two less than 0, so the original formula = 1
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If there is only one unknown, and the formula containing the unknown number is an integer, and the number of unknowns is 1, such an equation is called a one-dimensional equation, usually in the form ax+b=0 (a, b is constant, and a≠0).
General solution:1Denominator: multiply by the least common multiple of each denominator on both sides of the equation (the term without the denominator is also multiplied);
2.Remove braces: first go to the small braces, then the middle brackets, and finally the braces; (Remember to change the sign if there is a minus sign outside the parentheses).
3.Shift: Move all terms with unknowns to one side of the equation and all other terms to the other side of the equation; The move item needs to be renumbered.
4.Merge similar terms: Equations are formed in the form ax=b(a≠0);
5.The coefficient is 1: divide the coefficient a by the unknown number on both sides of the equation to get the solution of the equation x=b a
Solve the equation together. If the solution of two equations is the same, then the two equations are called same-solution equations.
Principle of Homogeneous Solution of Equations:
Adding or subtracting the same number or the same equation from both sides of the equation results in an equation that is the same solution as the original equation.
The equation obtained by multiplying or dividing by the same non-0 number on both sides of the equation is the same solution as the original equation.
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General solution:
Denominator: multiply by the least common multiple of each denominator on both sides of the equation (the term without the denominator is also multiplied);
Remove parentheses: Generally, first go to the small brackets, then the middle brackets, and finally the curly braces, which can be assigned according to the multiplication law (remember that if there is a minus sign outside the parentheses, you must change the sign).
Shift: Move all terms in the equation that contain unknowns to the side of the equation (usually a number Merge terms of the same kind: Convert the equation into the form of ax=b(a≠0);
The coefficient is reduced to 1: the coefficient a of the unknown number is divided by both sides of the equation to obtain the solution of the equation x=b a
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