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人教版 (新课标)必修5&选修6Unit 1 Art完美版ppt课件
展开Reading task
Unit 1 Great scientists
What’s Euler’s puzzle? Kningsberg is an island and there is a river breaking it int tw parts.
“Seven Bridges f Knigsberg” and the famus “Euler path”.
Peple wndered if they culd walk arund the city by crssing the seven bridges withut ging ver any f them twice r ging back n himself, but Euler fund he culdn’t crss all the seven nes. This is Euler’s puzzle.
The first stage in his research is t find the prblem that he culd crss six f the bridges withut ging ver any f them twice r ging back n himself, but he culdn’t crss all seven.
Hw did Euler prepare fr his research?
The secnd stage is t think f a methd: He drew a map and used dts and lines t simplify his analysis. Trying and bserving ver and ver again, he fund a general rule.
It is tplgy. Euler’s thery is called “The Euler path”, which is expressed like this: If a figure has mre than tw dd pints, yu cannt g ver it withut lifting yur pencil frm the page r ging ver a line twice.
What are the theries?
S the general rule that Euler fund is the even pints and the dd pints.
Lk at the fllwing pictures:
Cnclusin Euler’s thery (一笔画) 可以一笔画只有两种情况: 1. 没有奇数顶点。 2. 只有两个奇数顶点。
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