"Properties and Judgment of Squares" Special Parallelogram PPT Courseware 2

Description

"Properties and Judgment of Squares" Special Parallelogram PPT Courseware 2

learning target:

Knowledge and skills: Know how to determine a square, and be able to use the determination conditions of parallelograms, rectangles, rhombuses, and squares to make relevant arguments and calculations.

Process and methods: Through the process of exploring the conditions for determining a square, students develop their preliminary comprehensive reasoning ability, active inquiry learning habits, and gradually master the basic methods of reasoning.

Emotional attitudes and values: Understand the connection between special parallelograms and cultivate students' dialectical perspective on problems.

Learning focus: Master the conditions for determining a square

Learning difficulties: Reasonably and appropriately use the judgment between special parallelograms to conduct relevant arguments and calculations, further improve the ability to observe, analyze, and solve problems, and enjoy the joy of cooperative learning.

How to determine a square:

Can be based on parallelogram, rectangle, rhombus

A rhombus with equal diagonals is a square.

Known: In rhombus ABCD, diagonals AC and BD intersect at point O, and AC=BD.

Prove: Quadrilateral ABCD is a square.

A rectangle with vertical diagonals is a square.

It is known that in rectangle ABCD, diagonals AC and BD intersect at point O, and AC⊥BD.

Prove: Quadrilateral ABCD is a square.

Class summary

1. What knowledge is focused on in this lesson, and what mathematical ideas and methods are applied?

2. What did you gain from studying this class? What should we do in the future learning process?

True or False:

(1) A diagonal of a square divides the square into two congruent isosceles right triangles ( )

(2) A quadrilateral with mutually perpendicular and equal diagonals is a square ( )

(3) If the diagonals of a rhombus are equal, then it must be a square ( )

(4) If the diagonals of a rectangle are perpendicular to each other, then it must be a square ( )

(5) A quadrilateral with four equal sides and one right angle is a square ( )

Multiple choice questions:

1. Which of the following propositions is correct ( )

A. A quadrilateral with four equal angles is a square

B. A quadrilateral with four equal sides is a square.

C. A parallelogram with equal diagonals is a square.

D. A rectangle with perpendicular diagonals is a square

2. A quadrilateral with four equal interior angles must be ( )

A. Square B. Rhombic C. Rectangle D Parallelogram

3． In the quadrilateral ABCD, O is the intersection point of the diagonals. What can determine whether this quadrilateral is a square is: ( )

A. AO＝BO＝CO＝DO，AC⊥BD　B． AD∥BC ∠A＝∠C

C. AO＝CO　BO＝DO　AB＝BC D． AC＝BD

4. It is known that in □ABCD,

∠A=90°, if you add a condition, it can be concluded that the quadrilateral is a square, then this condition can be ( )

A. ∠D=90° B.AB=CD C. AD=BC D. BC=CD

Question: As shown in the figure, the diagonal lines of square ABCD intersect at point O, and O is a vertex of another square OEFG. If square OEFG rotates around point O, during the rotation process.

Research 1: Will the area of ​​the overlapping part of the two squares change? and explain the reasons.

Exploration 2: If the two sides of square OEFG and square ABCD intersect at M N respectively, try to determine the relationship between line segments AM and BN.

Exploration 3: If the square OEFG continues to rotate, will the relationship between AM and BN still hold?

Exploration 4: As shown in the picture, there are two squares of different sizes. The area of ​​the small square is half of the area of ​​the large square. If the area of ​​the shaded part is 8, what is the side length of the small square?

Keywords: Special parallelogram teaching courseware, Properties and determination of squares teaching courseware, Beijing Normal University edition ninth grade mathematics volume 1 PPT courseware, Ninth grade mathematics slide courseware download, Special parallelogram PPT courseware download, Properties and determination of square PPT courseware Download, .ppt format

For more information about the "Properties and Determination of Special Parallelogram Squares" PPT courseware, please click on the "Properties and Determination of Special Parallelograms ppt Squares" ppt tag.

"Properties and Judgment of Squares" Special Parallelogram PPT Courseware 4:

"Properties and Determination of Squares" Special Parallelogram PPT Courseware 4 Scenario introduction Determination theorem of squares: 1. A rhombus with equal diagonals is a square. 2. A rectangle with vertical diagonals is a square. 3. A rhombus with one right angle is a square. Guess the result...

"Properties and Judgment of Squares" Special Parallelogram PPT Courseware 3:

"Properties and Determination of Squares" Special Parallelogram PPT Courseware 3 Cooperative Learning The second type of figure is a square. We give a definition: there is a group of rectangles with equal adjacent sides called a square. Discuss: (1) Is a square a rhombus? ( 2) What do you think of the square...

"Properties and Judgment of Squares" Special Parallelogram PPT Courseware:

"Properties and Determination of Squares" Special Parallelogram PPT Courseware Definition: A set of parallelograms with equal adjacent sides and one right angle is called a square. What kind of quadrilateral do you think is a square? (What are the methods to determine whether a quadrilateral is a square? ?..

File Info

Update Time: 2024-09-27

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade First Volume Mathematics industry PPT template

Preview