1.如图1,在△ABC中,∠ABC,∠ACB角平分线交于点O,则∠BOC=90°+½∠A=½×180°+½∠A.如图在△ABC中,∠ABC,∠ACB的三等分线交予O1,O2.②猜想出结论∠BO2C=( ),并证明②.2.∠BOiC=
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1.如图1,在△ABC中,∠ABC,∠ACB角平分线交于点O,则∠BOC=90°+½∠A=½×180°+½∠A.如图在△ABC中,∠ABC,∠ACB的三等分线交予O1,O2.②猜想出结论∠BO2C=( ),并证明②.2.∠BOiC=
1.如图1,在△ABC中,∠ABC,∠ACB角平分线交于点O,则∠BOC=90°+½∠A=½×180°+½∠A.如图在△ABC中,∠ABC,∠ACB的三等分线交予O1,O2.②猜想出结论∠BO2C=( ),并证明②.
2.∠BOiC= (i=1,2,······n-1.n的代数式表示)
1.如图1,在△ABC中,∠ABC,∠ACB角平分线交于点O,则∠BOC=90°+½∠A=½×180°+½∠A.如图在△ABC中,∠ABC,∠ACB的三等分线交予O1,O2.②猜想出结论∠BO2C=( ),并证明②.2.∠BOiC=
1、∠BO1C=120°+1/3∠A,∠BO2C=60°+2/3∠A
2、∠BOiC=180°-∠OiBC-∠OiCB
=180°-(n-1)/n(∠ABC+∠ACB)
=180°-(n-1)/n(180°-∠A)
=180°/n+(n-1)/n∠A