A good illustration has a great help for learning, problem solving and research. For solving the plane geometric problems, completing constructing already helps to solve half of the problem. The main benefits of a good drawing include:
1) Describing the requirements: good drawing accurately describe the original elements and the mathematical relations between them , highlighting the mathematical logics to help find solutions to the problems.
2) Supporting creativity: easier to visualise, analyse, relate these elements to advance with new objects/figures.
3) Creating compelling: Mathematic always has the hidden beauty of wisdom. A good picture help make a solution or an article more appealing, more attractive to readers. This is very important, whether you sit for an examination or make a scientific report.
So what requirements must a good drawing must? Here are some basic requirements:
1) The accuracy (read more details ...)
2) The scientific
3) The aesthetics
Example: Given ΔABC, centroid G and straight line d orbiting around G, cutting edge AB at M and edge AC at N. Prove that regardless of thethe specific location of the line d, we always have:
1) AB/AM + AC/AN = 3
2) BM/AM + CN/AN = 1
Illustration for the above problem
Look at the illustration! It clearly describes a way to find the solution for the problem, isn't it?
The next article will in turn to a closer analyse more in details of the above requirements as well as guiding principles to help practice basic drawing skills.
5.2.2014
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