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Authoritative PPT Summary
"Reasoning in Life" Discovery Park PPT Courseware
teaching objectives
1. Combined with specific examples, go through the process of independent thinking, trying to infer and communicate your own ideas.
2. Understand the general ideas and methods of "logical reasoning", be able to make reasonable inferences and judgments based on known information in specific things, and explain the results of thinking and reasoning.
3. Be interested in and have the desire to explore "logical reasoning" problems, develop the study habit of being willing to think and actively communicate with others, and build the confidence to learn mathematics well.
Explore new knowledge
A cube dice has six points, 1, 2, 3, 4, 5, and 6, respectively engraved on its six sides. Looking at the die from three different angles, the points seen are as follows:
Judgment: Which point is on the opposite side of each side of this cube die?
As can be seen from Figure (1), the opposite side of 4 o'clock is not 6 o'clock and 5 o'clock.
It can be seen from Figure (2) that the opposite side of 4 o'clock is not 1 o'clock and 2 o'clock, so the opposite side of 4 o'clock can only be 3 o'clock.
It can be seen from Figure (2) that the opposite side of point 1 is not 2 points and 4 points.
It can be seen from Figure (3) that the opposite side of 1 point is not 3 o'clock and 5 o'clock, so the opposite side of 1 point can only be 6 o'clock.
As can be seen from Figure (1), the opposite side of 5 o'clock is not 4 o'clock and 6 o'clock.
It can be seen from Figure (3) that the opposite side of 5 o'clock is not 3 o'clock and 1 o'clock, so the opposite side of 5 o'clock can only be 2 o'clock.
Four students, Wang Xin, Zhang Hong, Li Ming, and Zhao Liang, participated in the 100-meter race. Many students in the stands were guessing the results of the race. The following are the guesses made by the three companions in the book.
Hypothetical reasoning.
(1) Assuming that what Yaya said about "Li Ming's first place" is correct and "Wang Xin's third place" is wrong, then what Liangliang said about "Zhang Hong's first place" is wrong, and "Zhao Liang's third place" is wrong. Four" is correct, so Cong Cong's "Zhao Liang is second" is wrong, and "Wang Xin is first" is correct. As a result, "Li Ming is first" and "Wang Xin is first". "Two first places means that Yaya's statement of "Li Ming's first place" is wrong, and "Wang Xin's third place" is correct.
(2) Because Yaya's "Wang Xin is third" is correct, Congcong's "Zhao Liang is second" is correct.
(3) Because "Zhao Liang is second" is correct, so Liangliang's "Zhang Hong is first" is correct.
(4) Because "Zhang Hong is first", "Zhao Liang is second" and "Wang Xin is third", Li Ming can only be fourth.
practice
1. A cube (as shown below), write A, B, C, D, E, F on each face. Can you tell what the letters on the two corresponding faces are based on the different ways of placing the cube?
Opposite A is E; Opposite C is F; Opposite D is B;
2. There is a small cube, and its six sides have different colors. Place it on the table three times. (As shown below)
I would like to ask: What colors do the red, yellow, and blue surfaces on the wooden block correspond to?
Opposite red is black;
Opposite yellow is green;
Opposite blue is white;
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