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!["Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 2](https://font2020.oss-cn-beijing.aliyuncs.com/ppt1/1fc430f330e4f67509d0da3a1e52c6b0.jpg)
Category | Format | Size |
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Beijing Normal University Ninth Grade First Volume Mathematics | pptx | 6 MB |
Description
"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 2
Exploration 1
Use two thin wooden strips, one long and one short, and fix a small nail at their midpoint to make a rotatable cross. Put a rubber band around it to make a quadrilateral. Rotate the wooden strips. What is this quadrilateral? When does it become a rhombus?
Conjecture: A parallelogram with mutually perpendicular diagonals is a rhombus.
Exploration 2
First draw two line segments AB and AD of equal length, and then draw arcs with B and D as the center and AB as the radius. Get the intersection point C of the two arcs. Connect BC and CD to get a quadrilateral. Guess, this What is a quadrilateral? tell me your reasons
Guess: A quadrilateral with four equal sides is a rhombus.
Proposition: A quadrilateral with four equal sides is a rhombus.
Known: In the quadrilateral ABCD, AB=BC=CD=DA.
Prove: Quadrilateral ABCD is a rhombus
Prove: ∵AB=CD,AD=BC
∴ Quadrilateral ABCD is a parallelogram
And ∵AB=AD,
∴Quadrilateral ABCD is a rhombus
How to use origami and cutting methods to quickly and accurately cut out a diamond-shaped piece of paper?
Some students did this: fold a rectangular piece of paper in half, then fold it in half again, then cut it along the dotted line in the picture and open it. Do you know the reason?
Commonly used determination methods for diamond shapes:
(1) There is a set of parallelograms with equal adjacent sides called a rhombus.
(2) A parallelogram with mutually perpendicular diagonals is a rhombus
(3) A quadrilateral with four equal sides is a rhombus.
Try this exercise:
1. The teacher said that the following three shapes are all rhombuses. Do you believe it?
A set of parallelograms with equal adjacent sides is called a rhombus
A parallelogram with perpendicular diagonals is a rhombus
A quadrilateral with four equal sides is a rhombus.
2. Determine whether the following statements are correct? Why?
(1) A quadrilateral with perpendicular diagonals is a rhombus; ( )
(2) A quadrilateral whose diagonals bisect each other perpendicularly is a rhombus; ( )
(3) A quadrilateral whose diagonals are perpendicular to each other and has a set of equal adjacent sides is a rhombus; ( )
(4) A quadrilateral with two adjacent sides equal to one diagonal bisecting a set of diagonals is a rhombus. ( )
3. The diagonals AC and BD of □ABCD intersect at point O,
(1) If AB=AD, then □ABCD is ____ shape;
(2) If ∠BAO=∠DAO, then □ABCD is ____ shape.
Keywords: Special parallelogram teaching courseware, Rhombus properties and determination teaching courseware, Beijing Normal University edition ninth grade mathematics volume PPT courseware, Ninth grade mathematics slide courseware download, Special parallelogram PPT courseware download, Rhombus properties and determination PPT courseware Download, .ppt format
For more information about the PPT courseware "Special Parallelograms and Rhombuses' Properties and Determinations", please click on the Special Parallelograms ppt Properties and Determinations of Rhombuses ppt tag.
"Properties and Judgment of Rhomboids" Special Parallelogram PPT Courseware 6:
"Properties and Judgment of Rhomboids" Special Parallelogram PPT Courseware 6 1. Knowledge Review 1. As shown in the figure: In rhombus ABCD, AB=6, (1) What are the lengths of the three sides AD, DC, and BC? (2) What is the positional relationship between diagonals AC and BD? (3)If ADC=12..
"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 5:
"Properties and Determination of Rhombuses" Special Parallelogram PPT Courseware 5 Review the past and learn new things 1. What is the definition of a rhombus? 2. As shown in the figure, it is known that the quadrilateral ABCD is a parallelogram, then you only need to add ______ to determine that it is a rhombus. 3. If The diagonal AC of rhombus ABCD is given...
"Properties and Judgment of Rhomboids" Special Parallelogram PPT Courseware 4:
"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 4 Think about it: A rhombus is a special parallelogram, which has all the properties of a general parallelogram. Can you list some such properties? Opposite sides of a rhombus are parallel and equal, opposite angles are equal, and opposite angles...
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