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Science版 - Re: 平面几何题(总之,程咬金的三板斧。。。)
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h*l
发帖数: 19
1
正弦,余弦,最后万能代换! (呵呵,也有点尉迟恭的感觉,
why?)
手工计算是非常简单的,ti=tan(Ai/6),没有把握的同学可
以用一下另三板斧:积化和差,三倍角公式与对称化。(呵呵,
也有点罗成的“梅花七蕊”的感觉。)
最后还没把握的,就拿出秦叔宝的“杀手锏” -- Mathematica!
大致上是一些如:sin((pi-B)/3)*sin((pi+B)/3)*sin(c)*...
cos(...) / ...的项。。。
h*l
发帖数: 19
2
Really, where is the #? I actually don't have much
time now, hehe.
By the way, the proof below is actually calculated
by me via hand for fun. So, it's not a joke. And
the calculation is not hard.
A conclusion is although trigonomy technique was
usually consider to be not wize for middle level
Euclid geometry problem, this view is COMPLETELY
mechanically changed now. The tg(t/2) method is
almost always straightforwards without much calculation.
But one problem is it's still "直观“,so some time
we h
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