Tommy asked in 科學及數學數學 · 1 decade ago

與直線相關的角(中二)

1)求圖中的未知量

圖片參考:http://imgcld.yimg.com/8/n/HA05466956/o/7011012301...

2)寫出p,q,r,s的一組可能值

圖片參考:http://imgcld.yimg.com/8/n/HA05466956/o/7011012301...

3)求∠A+∠B+∠C+∠D+∠E

圖片參考:http://imgcld.yimg.com/8/n/HA05466956/o/7011012301...

4a)求b1,b2,c1,c2的和

4b)求b2,c1的和

4c)問AE是否垂直於CE?試說明理由。

圖片參考:http://imgcld.yimg.com/8/n/HA05466956/o/7011012301...

請列明詳細步驟!!

1 Answer

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  • 1 decade ago
    Favorite Answer

    BOC+10=58(ext angle of triangle)

    BOC=48

    BOC=AOF=48(vert. opp. angles)x+AOF=2x(ext. angle of triangle)x=48______________________________BCE=p+q(ext. angle of triangle)DCE+r=s(ext.angle of triangle)DCE=s-r

    DCE+BCE=180(adj. angle on a st. line)

    s-r+p+q=180

    ___________________________

    求∠A+∠B+∠C+∠D+∠E

    ∠A+∠B+∠C+∠D+∠E=180(5-2)(angle sum of polygon)

    ∠A+∠B+∠C+∠D+∠E=540

    _______________________________________

    求b1,b2,c1,c2的和

    b1=b2=x

    c1=c2=y

    _____________

    2x+2y=180(int. angle ,AB//CD)x+y=90

    問AE是否垂直於CE?試說明理

    x+y+AEC=180(angle sum of tri)AEC=90so,AE是否垂直於CE

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