"Comparison of Angles" Basic Plane Graphics PPT

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"Comparison of Angles" Basic Plane Graphics PPT

Part One Content: Basic Knowledge Key Points

Knowledge point 1 Comparison of angles

1. Which of the following statements is correct (C)

A. The longer the sides of an angle, the larger the angle.

B. The size of the angle is related to the direction of the angle

C. A magnifying glass cannot magnify the angle.

D. None of the above statements are correct

2. As shown in the figure, take a point C inside ∠AOB and a point D outside ∠AOB to draw rays OC and OD. The following conclusion is not necessarily correct (C)

A.∠COD>∠AOD B.∠BOC<∠AOB

C.∠AOB<∠AOD D.∠AOB>∠AOC

3. Put a set of triangle rulers together as shown in the picture.

(1) Write the degrees of ∠A, ∠B, ∠ACB, ∠D, ∠AED in the figure;

(2) Use "<" to connect the above corners.

Knowledge point 2: Calculating the sum and difference of angles

4. As shown in the figure, draw ray OC through point O on straight line AB. If ∠BOC=29°18', then the size of ∠AOC is (A)

A.150°42' B.60°42'

C.150°82' D.60°82'

5. As shown in the figure, ∠AOB=72°30', ray OC is within ∠AOB, ∠BOC=30°42', then ∠AOC= 41°48'.

Comparison of angles PPT, part 2: improvement of comprehensive capabilities

8. As shown in the figure, rays OB and OC divide ∠AOD into three parts. The following judgment is wrong (D)

A. If ∠AOB=∠COD, then ∠AOC=∠BOD

B. If ∠AOB>∠COD, then ∠AOC>∠BOD

C. If ∠AOB<∠COD, then ∠AOC<∠BOD

D. If ∠AOB=∠BOC, then ∠AOC=∠BOD

9. As shown in the figure, ∠AOB is a straight angle, ∠AOC=50°, ∠BOD=60°, OM bisects ∠BOD, and ON bisects ∠AOC, then the degree of ∠MON is (C)

A.135° B.155° C.125° D.145°

10. As shown in the figure, ∠AOB=∠COD, then (B)

A.∠1>∠2

B.∠1=∠2

C.∠1<∠2

D. The sizes of ∠1 and ∠2 cannot be compared

Comparison of angles PPT, the third part: Expansion, exploration and breakthrough

14. It is known that ∠AOB=α (90°<α<180°), ∠COD is inside ∠AOB, OM bisects ∠AOC, and ON bisects ∠BOD.

(1) If ∠COD=180°-α, explore the following two questions:

①As shown in Figure 1, when OC is on the left side of OD, find the degree of ∠MON;

②When OC is on the right side of OD, please complete the graph in Figure 2 and find the degree of ∠MON. (Expressed by an algebraic formula containing α)

(2) As shown in Figure 3, when ∠COD=kα, and OC is on the left side of OD, directly write the degree of ∠MON. (Expressed by an algebraic formula containing α, k)

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Update Time: 2024-09-28

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