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歡迎您訪問數學考題練習:如圖,P是∠BAC的平分線AD上一點,PE⊥A!

數學考題練習:如圖,P是∠BAC的平分線AD上一點,PE⊥A

更新時間:2024-01-12 16:32:02作者:貝語網校

如圖,P是∠BAC的平分線AD上一點,PE⊥AB于E,PF⊥AC于F,下列結論中不正確的是

A.PE=PF

B.AE=AF

C.△APE≌△APF

D.AP=PE+PF

試題答案

D

試題解析

題目的已知條件比較充分,滿足了角平分線的性質要求的條件,可直接應用性質得到結論,與各選項進行比對,得出答案.

解答:∵P是∠BAC的平分線AD上一點,PE⊥AB于E,PF⊥AC于F,

∴PE=PF,

又有AD=AD

∴△APE≌△APF(HL

∴AE=AF

故選D.

點評:本題主要考查平分線的性質,由已知證明△APE≌△APF是解題的關鍵.

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