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"Pigeon Nest Problem" Mathematics Wide Angle PPT (Lesson 1)
Part One: Exciting Introduction
I will perform a "magic" for everyone. From a deck of cards, I 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?
Pigeonhouse Problem PPT, Part 2: New Knowledge Explanation
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.
why?
There must be: There must be
at least: equal to or more than
Put 4 pencils into 3 pen holders. No matter how you put them, there will always be at least 2 pencils in one pen holder. Why?
You can put 4 pencils in the pen holder on the left.
You can also put 3 pen holders in the left pen holder, 1 pen holder in the middle pen holder, and none on the right.
Hypothesis method
You can also think of it this way: put 3 pens first, put 1 in each pen holder, and put the remaining 1 into one of the pen holders. So at least one pencil holder has 2 pencils in it.
Pigeonhouse Problem PPT, Part 3: Practice and Consolidation
5 pigeons flew into 3 pigeon cages, and there was always at least 2 pigeons flying into one pigeon cage. Why?
The number of objects is greater than the number of pigeonholes. No matter how you fly, there will always be at least two pigeons flying into a pigeonhole.
Find 13 teachers at random. At least 2 of them will have the same zodiac sign. Why?
Answer: Assume that 12 teachers belong to the 12 zodiac signs respectively. Then no matter which zodiac sign the 13th teacher belongs to, at least 2 of them have the same zodiac sign.
Pigeonhouse Problem PPT, Part 4: Knowledge Summary
1. First distinguish the pigeon nest and the divided objects, and then see their number.
2. Build the pigeonhouse cleverly so that there are fewer objects to divide the pigeonhole into.
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"Pigeon Nest Problem" Mathematical Wide Angle PPT Download:
"Pigeon Nest Problem" Mathematics Wide Angle PPT Download Part 1 Content: Situation Introduction I have a deck of playing cards here. After removing two trump cards, there are 52 cards left. I asked a classmate to randomly draw 5 cards. Don't let me see you draw them. What brand is it. But the teacher knows that the most important thing...
"Pigeon Nest Problem" Mathematics Wide Angle PPT (Lesson 2):
"Pigeon Nest Problem" Mathematics Wide-angle PPT (Lesson 2) Part One: Interesting Introduction In real life, sometimes the data is large and it is inconvenient to use the enumeration method. Use what-if methods to solve practical problems. ... ... ... Pigeonhouse Problem PPT, Part 2: New...
"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...