It is a method of consciously enlarging or narrowing the value of related numbers or formulas. If we can master and use this method flexibly, it will have obvious effects on solving some mathematical problems such as comparing sizes and proving inequalities.
The scaling method is introduced as follows:
Scaling means making inequality
Here are the precautions for zooming method:
Zoom in the same direction. Relax and contract moderately. Many times, only a part of the series is scaled, and some items remain unchanged, mostly the first few or the last few items. It is extremely simple to prove by scale method. However, it is very skillful to prove inequality by scale method. Improper scaling will occur if you are not careful. Therefore, we only need to understand the scaling method, and should not delve into it.
Mathematics is introduced as follows:
Mathematics is a universal means for human beings to strictly describe and deduce the abstract structure and mode of things, and can be applied to any problem in the real world. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Mathematics plays an irreplaceable role in the development of human history and social life, and it is also an indispensable basic tool for studying and studying modern science and technology.
Mathematics originated from the early production activities of human beings, and the ancient Babylonians had accumulated some mathematical knowledge, which could be applied to practical problems. As far as mathematics itself is concerned, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof, but their contribution to mathematics should also be fully affirmed.