1、单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,*,*,新课标人教版课件系列,高中英语,必修,5-,1.1,The 8th Period,Listening&reading(P44-P45),Listening Task(P44),Listening Task P44,Eulers achievements,Examples,New symbols and terms,sin,consin,Old areas,of mathematics,Revised and,analysed,all,maths,of his day,New area of math
2、ematics,Topology(,拓扑学,),Overall importance,Introduced a lot of symbols into,maths,;wrote more books than anyone before,Reading Task (P45),Finding The Solution,Puzzle,A,B,C,A,A,B,B,C,C,D,D,E,Can you go over it without missing any points or going over a line twice?,F,A,B,C,A,A,B,B,C,C,D,D,E,start,fini
3、sh,F,A,B,C,A,A,B,B,C,C,D,D,E,Euler said,“If a figure has more than two odd points,you cannot go over it without lifting your pencil from the page or going over a line twice.”,A.B.C:even points,A.B:even points,C.D:odd points,C.D.E.F:odd points,A.B:even points,F,Leonhard Euler (1707-1783),Born:,15 Apr
4、il 1707 in Basel,Switzerland,Died:,18 Sept 1783 in St Petersburg,Russia,Euler was a famous,mathematician,in the eighteenth century,he introduced a new branch of mathematics called,topology,.It is a form of,geometry,that help you understand things by turning them into,diagrams,.,Reading,P45,What is Euler path?,curved line,straight line,even point,odd point,A,B,C D:odd points,A,C:odd points,B,D:even points,No Euler path,Has Euler path,start,finish,Fig 4:,A,1,2,3,4,Figure 4,
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