Current location - Training Enrollment Network - Mathematics courses - SP seventh grade math proficiency test 14 (Zhejiang Education Edition) Chapter 7, Question 4, 24. (1)(2)(3)(4) Answer
SP seventh grade math proficiency test 14 (Zhejiang Education Edition) Chapter 7, Question 4, 24. (1)(2)(3)(4) Answer
( 1)≈∠AOC = 80,∠BOC=20。

∴∠AOB=80 +20 = 100。

∫OM is the bisector of ∞∠AOB.

∴∠AOM= 100 ÷2=50。

And ∵ON is the bisector of ∠AOC, ∠ AOC = 80.

∴∠AON=80 ÷2=40。

∴∠mon=∠aom-∠aon=50-. 40 = 10。

(2)∫∠AOC = 80,∠BOC=x。

∴∠AOB=80 +x

And ∵OM is the angular bisector of ∠AOB.

∴∠AOM=(80 +x )÷2=40 +x/2

And ∵ON is the bisector of ∠AOC, ∠ AOC = 80.

∴∠AON=80 ÷2=40

∴∠mon=∠aom-∠aon=(40+x/2)-40 = x/2

(3)∫∠AOC = m,∠BOC=x。

∴∠AOB=m +x

And ∵OM is the angular bisector of ∠AOB.

∴∠AOM=(m +x )÷2=(m+x)/2

And ∵ON is the bisector of ∠AOC, ∠ AOC = m.

∴∠AON=m/2

∴∠mon=∠aom-∠aon=(m+x)/2—m/2 = x/2

(4) The degree ∠ mon is related to ∠BOC.

Degree ∠MON is ∠BOC's 1/2.

Using letters to represent numbers can clearly show the relationship between two numbers.