1, delete (or add) some items.
2. Enlarge or reduce the numerator or denominator in the fraction.
3, the application of basic inequality scale (such as mean inequality).
4. The monotonicity of the function is suitable for scaling.
5, according to the subject conditions.
6. Construct geometric series to scale.
7, structural cracks for scaling conditions.
8. Use the tangent and secant approximation of the function to zoom in and out.
9. Scaling by crack method.
10, dislocation subtraction scaling.
The concept of proportional method
Scaling means making inequality
If we can master and use this method flexibly, it will have obvious effect on solving some mathematical problems such as comparing sizes and proving inequalities, especially for competition questions, and it is a good method to solve problems.
The so-called amplification method is a process of reasonable amplification and reduction by using the transitivity of inequality. When using scaling method to prove the problem, we should pay attention to the "degree" of scaling, otherwise it cannot be transmitted in the same direction. This method can be used to prove inequality alone, or it can be an important step in other methods.