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Authoritative PPT Summary
"Angle of Circle" PPT Courseware 2
life practice
When a player shoots at B, D, and E, his position forms three opening angles to goal AC: ∠ABC, ∠ADC, and ∠AEC. What is the relationship between the sizes of these three angles?
What is the relationship between the size of the circumferential angle subtended by AC ∠ AEC ∠ ABC ∠ ADC?
What patterns can you spot?
Instant testing (2)
As shown in the figure, points A, B, C, and D are on the same circle. The diagonals of the quadrilateral ABCD divide the four interior angles into eight angles. Which of these angles are equal?
New knowledge exploration
As shown in the figure, ∠C=∠G in the circle, then what is the relationship between the size of AB and AB? Why?
prove:
Connect OA, OB, OC, OD
∵∠C=1/2∠AOB
∠G=1/2∠EOF
∠C=∠G
∴∠AOB=∠EOF
∴AB=EF
Instant testing (3)
1. As shown in the figure, in ⊙O, ∠BOC=50°, then ∠A=_ °
2. As shown in the figure, AB is the diameter, then ∠ACB=______ ∠AC`B=_______.
What conclusion can you draw?
Instant testing (4)
(1) As shown in the figure, ∠DCB=120° then ∠AOB=______°
(2) As shown in the figure, the diameter of ⊙O is AB=10cm, C is a point on ⊙O, ∠BAC=30°, then BC=____cm
summary
1. What knowledge did we learn in this lesson?
2. What methods have we learned in this lesson?
Circumferential angle work:
Required questions: 2 questions on page 87 of the textbook
Optional questions: 3 questions on page 87 of the textbook
After-school development
As shown in the figure, it is known that the three vertices of �ABC are all on ⊙O, AD is the height of �ABC, and AE is the diameter of ⊙O.
Prove that ∠BAE=∠CAD
Keywords: Circumference and angle teaching courseware, Qingdao edition ninth grade mathematics volume PPT courseware download, ninth grade mathematics slide courseware download, circumference and angle PPT courseware download, .PPT format;
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