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Authoritative PPT Summary
"Determination of Isosceles Triangle" Proof PPT Courseware 2
General steps to prove a proposition:
(1) Understand the meaning of the question: distinguish the conditions of the proposition (known) and the conclusion (verification);
(2) Draw graphics according to the meaning of the question;
(3) Combined with graphics, use symbolic language to write "known" and "verified";
(4) Analyze the meaning of the question and explore the proof ideas (lead from "cause" to "effect", and hold on to "effect" to find "cause".);
(5) Based on the idea, use mathematical symbols and mathematical language to clearly write out the proof process;
(6) Check whether the expression process is correct and complete.
axiom:
Two triangles are congruent (SAS) if their two sides and their angles are equal.
In △ABC and △A′B′C′
∵AB=A′B′ (known),
∠A=∠A′ (known),
BC=B′C′ (known),
∴△ABC≌△A′B′C′ (SAS).
Properties of isosceles triangle
Theorem: The two base angles of an isosceles triangle are equal (equilateral sides to equal angles).
Corollary: The bisector of the vertex angle of an isosceles triangle, the midline on the base, and the height on the base coincide with each other (the three lines merge into one).
Can you prove these conclusions using existing axioms and theorems?
Summary and expansion
Understand the necessity and normativeness of proof.
Understand the methods, steps, formats and precautions for proving geometric propositions.
How have you improved your understanding and application of "carrying the effect to the cause" and "leading to the effect from the cause"?
Whether the requirements for clear organization, corresponding cause and effect, and evidence-based statements in the normative nature have been internalized into a skill.
Has the level of integration of the three languages of geometry been improved?
Paying attention to the accumulation and improvement of knowledge, experience, and methods is the propeller for progress.
How are you going to improve your ability to prove propositions?
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For more information about the PPT courseware "Proving the Determination of an Isosceles Triangle", please click on the Prove ppt Determination of an Isosceles Triangle ppt tag.
"Determination of Isosceles Triangle" proof PPT courseware:
"Determination of Isosceles Triangle" proves that the PPT courseware makes some line segments in the isosceles triangle (such as angle bisectors, midlines, heights, etc.). Can you find some of the equal line segments? Can you find some of the equal angles? ? Can you prove the findings? ..
"Determination of Isosceles Triangle" Axisymmetric PPT Courseware:
"Determination of Isosceles Triangle" Axis Symmetry PPT Courseware Determination of Isosceles Triangle: If there are two angles in a triangle that are equal, then the sides opposite the two angles are also equal. (Equal angles versus equal sides) Analysis: Obviously the length of the rope CD and CE are equal, the problem is actually known..