"Why Proof" Proof of Parallel Lines PPT

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"Why Proof" Proof of Parallel Lines PPT, 24 pages in total.

Part One: Learning Objectives

1. Understand the meaning of reasoning and know that in order to judge whether a mathematical conclusion is correct, reasoning must be carried out. (emphasis)

2. Be able to use experimental verification, counterexamples, reasoning and other methods to simply verify whether a mathematical conclusion is correct. (difficulty)

Why to prove PPT, part 2: teaching new courses

Mathematical conclusions must undergo rigorous demonstration

To judge whether a mathematical conclusion is correct, observation, conjecture, and experiment are not enough;

It must go through step-by-step, well-founded reasoning.

Please give examples of the reasoning you used.

Common methods for testing mathematical conclusions

[Type 1] Experimental verification

Example 1: Observe first and then verify.

(1) Is the solid line in Figure ① straight or curved?

(2) Which of the two line segments a and b in Figure 2 is longer?

(3) Are straight lines AB and straight lines CD in Figure ③ parallel?

Why to prove PPT, part three: practice in class

1. Which of the following conclusions can you be sure about ( )

A. If it rained today, it will rain again tomorrow.

B. The product of three consecutive integers must be divisible by 6

C. Xiao Ming will definitely win the prize in the mathematics competition

D. If the two photos look similar, they must be of the same person.

2. The following questions use reasoning ( )

A. According to a=10, b=10, we get a=b

B. Observe that the triangle has three angles

C. The teacher told us many mysteries about the pyramids

D. It can be known from experience that there is only one straight line through two points.

Why to prove PPT, part 4 content: Class summary

Mathematical conclusions must undergo rigorous demonstration

Argument method

Experimental verification

Give counterexamples

reasoning proof

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Update Time: 2024-09-29

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

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