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"Pigeon Nest Problem" Mathematics Wide Angle PPT Courseware 2
1. Game introduction
I will perform a "magic" for everyone. From a deck of cards, take out the king and king, and there are 52 cards left. Each of the 5 of you randomly draws one card. I know that at least 2 cards are of the same suit. Do you believe it?
2. Explore new knowledge
(1) Example 1
Put 4 pencils into 3 pencil holders. No matter how you put them, there will always be at least 2 pencils in one of the pencil holders.
What do "always" and "at least" mean?
why?
(2) Example 2
If each drawer can hold up to 2 books, then 3 drawers can hold up to 6 books, but the question requires 7 books. so……
I'll just let it go and watch.
1 book per drawer,
2 books in one drawer,
4 books in one drawer.
In both storage methods, one drawer holds 3 or more books, so...
3. Application of knowledge
(1) Do it
1. 5 pigeons flew into 3 pigeon cages, and there was always at least 2 pigeons flying into one pigeon cage. Why?
2. 11 pigeons flew into 4 pigeon cages, and there was always at least 3 pigeons flying into one pigeon cage. Why?
3. If 5 people sit on 4 chairs, there will always be at least 2 people sitting on one chair. Why?
4. Assign homework
Homework: Exercise 13 on page 71, questions 2 and 3.
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"Pigeon Nest Problem" Mathematics Wide Angle PPT Courseware 3:
"Pigeon Nest Problem" Mathematics Wide Angle PPT Courseware 3 1. Exploring New Knowledge There are 4 red balls and 4 blue balls of the same size in the box. If you want to find out, there must be 2 balls of the same color. How many balls must you find at least? If you draw 5 balls, there must be 2 of the same color, because only 2 balls can...
"Pigeon Nest Problem" Mathematics Wide Angle PPT Courseware:
"Pigeon Nest Problem" Mathematics Wide-angle PPT Courseware 1. Introduction to the game 2. Exploring new knowledge Put 3 pencils into 2 pencil boxes. What are the ways to put them? No matter how you put them, there will always be at least 2 pencils in a pencil box. Put 3 pens first, put 1 pen in each pen holder, and leave...