Western Normal University Edition First Grade Mathematics Volume 1
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Hebei Education Edition Third Grade Mathematics Volume 1
Hebei Education Edition Seventh Grade Mathematics Volume 2
Beijing Normal University Edition Seventh Grade Mathematics Volume 2
Qingdao Edition Seventh Grade Mathematics Volume 1
People's Education High School Mathematics Edition B Compulsory Course 2
Beijing Normal University Edition Eighth Grade Mathematics Volume 1
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Jiangsu Education Edition Fourth Grade Mathematics Volume 1
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People's Education Press First Grade Mathematics Volume 2
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Category | Format | Size |
---|---|---|
Qingdao Edition Eighth Grade Mathematics Volume 2 | pptx | 6 MB |
Description
"Special Parallelogram" PPT courseware 6
Create scenario one
A square is a special rhombus
Scenario 2
question:
1. When the CD in the picture is moving, what kind of shape does this shape always look like?
2. When CD moves to the CD position and AD=AB, is the quadrilateral ABCD still a rectangle?
A square is a special rectangle
Define a square
Definition: A set of parallelograms with equal adjacent sides and one right angle is called a square
A rhombus with one right angle is a square
A set of rectangles with equal adjacent sides is a square
A square is a special parallelogram, a special rectangle, and a special rhombus.
A square is a perfect shape
symmetry
Axisymmetric graphics
nature
(1) It has all the properties of a parallelogram
Two sets of opposite sides are parallel and equal, two sets of opposite angles are equal, and the diagonals bisect each other.
(2) Has all the properties of a rectangle
The four angles are all right angles and the diagonals are equal
(3) Has all the properties of a rhombus
Four sides are equal; diagonals are perpendicular to each other, and each diagonal bisects a set of opposite angles
Choose one
1. The property that a square has but not necessarily a rectangle is ()
A. The four angles are equal.
B. The diagonals bisect each other perpendicularly.
C. Diagonals are complementary.
D. The diagonals are equal.
2. Properties that squares have but rhombuses don’t necessarily have ( )
A. All four sides are equal.
B. The diagonals bisect each other perpendicularly.
C. A diagonal bisects a set of opposite angles.
D. The diagonals are equal.
Known: As shown in the figure, in square ABCD, point E is on AC.
Prove: BE=DE
Prove: ∵ Quadrilateral ABCD is a square,
∴AB=AD, ∠BAC=∠DAC.
(All four sides of a square are equal, and each diagonal bisects a set of opposite angles)
In △ABC and △ADC
AB=AD
∠BAC=∠DAC.
AE=AE
∴△ABC≌△ADC (SAS)
∴BE=DE (corresponding sides of congruent triangles are equal)
Time-limited homework
1. As shown in the figure, the quadrilateral ABCD is a square. Extend BC to E so that CE=AC. Connect AE. Intersect CD at F. Find the degree of ∠AFC.
2. In the known square ABCD, AC=10, P is a point on AB, PE⊥AC is at E, and PF⊥BD is at F, then PE+PF=______________.
3. Draw an equal side △DCE from the side DC of the square ABCD, then ∠AEB=_____.
4. In square ABCD, M is the midpoint of AD, ME⊥BD is at E, MF⊥AC is at F. If ME+MF =8cm, then AC=________.
Keywords: Special parallelogram teaching courseware, Qingdao edition eighth grade mathematics volume PPT courseware download, eighth grade mathematics slide courseware download, special parallelogram PPT courseware download, .PPT format;
For more information about the "Special Parallelograms" PPT courseware, please click on the "Special Parallelograms" ppt tab.
"Special Parallelograms" PPT courseware 5:
"Special Parallelograms" PPT Courseware 5 Scenario Creation We have studied parallelograms and rectangles before, and we know what shape it will become if one of the angles of a parallelogram is a right angle? (A rectangle is obtained by changing the angle) If the parallelogram is transformed from the angle of the side special..
"Special Parallelogram" PPT Courseware 4:
"Special Parallelograms" PPT Courseware 4 Review Review Definition: A parallelogram with one right angle is called a rectangle. Give it a try. It is known that △ABC is Rt△, ABC=Rt, and BD is the midline on the hypotenuse AC. 1. If BD=3cm, then AC=________cm 2. If C=30, A..
"Special Parallelograms" PPT courseware 3:
"Special Parallelograms" PPT Courseware 3 Review Questions 1. What is a parallelogram? 2. What is the relationship between parallelograms and quadrilaterals? 3. What are the properties of parallelograms? ① Sides: Opposite sides are parallel and equal. ② Angle: Opposite angles are equal and adjacent angles are complementary. ③ Opposite angles..
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Update Time: 2024-09-11
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