如图,BP,CP分别平分∠ABC和∠ACB,求证:∠BPC=90°+1/2∠A

问题描述:

如图,BP,CP分别平分∠ABC和∠ACB,求证:∠BPC=90°+1/2∠A

1个回答 分类:数学 2014-11-13

问题解答:

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∠BPC + ∠PBC +∠PCB = 180
∠BPC+1/2∠ABC+1/2∠ACB=180 (1)
∠A +∠ABC+∠ACB=180
1/2∠A+1/2∠ABC+1/2∠ACB=90 (2)
(1) — (2) 得
:∠BPC=90°+1/2∠A
 
 
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