In triangle OAB , Angle O + Angle A + Angle B = 180 -------1
OA = OB (Radius) => Angle A = Angle B
In triangle ACB, Angle C = Angle O + Angle OAC (Sum of interior opposite angles)
=> Angle ACB = 2x;
Also, AC = AB => Angle ACB = Angle ABC = 2x each
Thus Angle A = Angle B = 2x each.
So, substituting in 1
5x = 180 => x = 36 deg.
根据OB=OA,180-3x=2x,x=36
5*x=180
不要以为角aob是直角
In triangle OAB , Angle O + Angle A + Angle B = 180 -------1
OA = OB (Radius) => Angle A = Angle B
In triangle ACB, Angle C = Angle O + Angle OAC (Sum of interior opposite angles)
=> Angle ACB = 2x;
Also, AC = AB => Angle ACB = Angle ABC = 2x each
Thus Angle A = Angle B = 2x each.
So, substituting in 1
5x = 180 => x = 36 deg.
求大神讲解,多谢
角ACB = 2x (等腰三角形外角等於兩倍内角), 所以角ABC也等於2x, 角OAB也等於2x, 2x+x+5x = 180
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题图已更新。
https://gmatclub.com/forum/in-the-figure-above-point-o-is-the-center-of-the-circle-and-107874.html
图在这里
多谢图
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没有图啊。。。。