是不是这个
三角形abc的三个顶点都在圆o上,ab为直径 ==> ∠C = 90°;==>RtΔCAB
∠CAB = 30° ==> BC = 1/2 *AB;
AC = √3/2 *AB
∴ AB = AC/(√3/2) = 2√3 ;BC =1/2 *AB = √3
CD平分角ACB ==> AD:BD = AC:BC = 3:√3 --- (1)
而:AD+BD = AB = 2√3 --- (2)
(1)(2)联立,解得:
AD = 3√3-3;BD=3-√3
是不是这个
三角形abc的三个顶点都在圆o上,ab为直径 ==> ∠C = 90°;==>RtΔCAB
∠CAB = 30° ==> BC = 1/2 *AB;
AC = √3/2 *AB
∴ AB = AC/(√3/2) = 2√3 ;BC =1/2 *AB = √3
CD平分角ACB ==> AD:BD = AC:BC = 3:√3 --- (1)
而:AD+BD = AB = 2√3 --- (2)
(1)(2)联立,解得:
AD = 3√3-3;BD=3-√3
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