| Category | Format | Size |
|---|---|---|
| Beijing Normal University Ninth Grade First Volume Mathematics | pptx | 6 MB |
"Properties and Judgment of Rhombus" Special Parallelogram PPT Courseware 6
Description
"Properties and Judgment of Rhombus" 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=120°, find the length of AC.
2. As shown in the figure: Add a condition to □ABCD to make it a diamond:
Addition method 1: A set of adjacent sides are equal.
Adding method 2: AC⊥BD.
2. Application of knowledge
1. Typical examples:
As shown in the figure, the quadrilateral ABCD is a rhombus with side length 13cm, and the diagonal BD is 10cm long.
Find: (1) the length of diagonal AC; (2) the area of rhombus ABCD.
Idea Enlightenment: What are the characteristics of the diagonal lines of a rhombus?
2. Variation training
As shown in the figure, quadrilateral ABCD is a rhombus.
Among them, diagonal BD=12cm, AC=16cm.
Find: (1) the side length of the rhombus; (2) find the height of one side of the rhombus.
3. Method enlightenment
(1) Students, what insights or experiences do you have from the examples and variation training we just completed?
(2) How many methods are there to find the area of a rhombus?
Important discovery: The area of a rhombus is equal to half the product of its diagonals.
Class summary
1. What have you gained from studying this lesson? What questions do you still have?
2. Please summarize from the following three aspects: knowledge gain, method gain, and concerns.
3. After the summary is completed, please communicate within the group.
Individual assignments
1. Must-do questions: Question 3, Question 4, Question 8 of Knowledge and Skills on Textbook P27;
2. Optional question: As shown in the figure, in the quadrilateral ABCD, AD∥BC
E is the midpoint of BC, BC=2AD, EA=ED=2, AC and ED intersect at point F. When AB and AC have what positional relationship, the quadrilateral AECD is a rhombus? Please explain the reason and find the area of the rhombus AECD at this time.
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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 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...
"Properties and Judgment of Rhomboids" Special Parallelogram PPT Courseware 3:
"Properties and Determination of Rhombuses" Special Parallelogram PPT Courseware 3 Commonly used determination methods for rhombuses: 1. A parallelogram with a set of equal adjacent sides is a rhombus. 2. A parallelogram with diagonals perpendicular to each other is a rhombus. 3. It has four sides. Congruent quadrilaterals are rhombuses. A rhombus..
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Update Time: 2024-07-28
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