1、3 33296468375145816279857135417226947489655283659378SudokuMathematical puzzleEulerodd number(1,3,5.)even number(2,4,6.)Lets challengeCross the seven bridges without lifting your pencil from the paper or going over any line twice .1234567islandislandriverbankbankLets predictHow did he find the soluti
2、on? What was the problem? What was the problem?1 12 23 34 45 56 61 12 23 34 45 56 67 7Why the puzzle would not work? para.1 Find the problem solve the problem Why the puzzle would not work?Analyze the problemMake an assumption(假设) Find the solution Check the solution Find the problem Para.1 Para.2 P
3、ara.3 Para.4 Para.5 How did he find the solution? Analyze the problem (para.2)Circle the verbs.Draw and explain the process to your deskmate. 1. How did Euler analyze the problem?1. drew 2. marked 3. put 4. joined 5. noticed6. wondered ABCD3335odd pointsodd pointsodd pointsodd pointsSymbolic-graphic
4、 combination (数形结合)Why? more visualized Make an assumption (para.3) 3242 odd points2 even points3What was the assumption?Why?Find the rule (para.4) difference4 odd points2 odd points2 even pointsIf a figure has more than two odd points, you cannot go over it without lifting your pencil from the pape
5、r or going over a line twice.Find the rule (para.4) 1. What is the key to the puzzle? And what else?The number of odd points some even pointsWhy the puzzle would not work?53334 odd pointsCheck the rule (para.5)abcdefabcdefghi2222332 odd points+4 even pointsb,c,f,g 3 4 odd pointstopology(拓扑学) Find th
6、e problem Analyze the problemMake an assumption(假设) Find the rule Check the ruleFinding the Euler pathSymbolic-graphic combination Make comparisonKeep trying Use successful experience Find more figuresDiscussionWhat kinds of person do you think Euler is? Why ? Euler is becauseEuler has.for the reason thatHomework Send an email to your friend introducingthe “seven bridges problem” in Konigsbergand “How Euler solved it” as well as your opinions about Euler.
