幻象3000
幼苗
共回答了12个问题采纳率:91.7% 举报
射线OA是∠MON的三等分线有两种情况:
∠NOA=1/3∠MON,或∠MOA=1/3∠MON
则∠MON=3/2∠MOA,或∠MON=3∠MOA
OB是∠MOA的三等分线,也有两种情况:
∠AOB=1/3∠MOA,或∠MOB=1/3∠MOA
则∠MOA=3/2∠MOB,或∠MOA=3∠MOB
设∠MOB = x
则∠MOA=3/2 x,或3x
∠MON = 3/2∠MOA = 3/2*3/2 x = 9/4 x
或
∠MON = 3/2∠MOA = 3/2*3x = 9/2 x
∠MON = 3∠MOA = 3*3/2 x = 9/2 x
或
∠MON = 3∠MOA = 3*3x = 9 x
综上:∠MON = 9/4 x,或9/2 x,或 9 x
1年前
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